diff --git "a/data/dm_maths/full_data/1000_11255.jsonl" "b/data/dm_maths/full_data/1000_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1000_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n(d) = d**2 - 20*d + 14. Let y be n(18). Let w be y\/(-6) - 3\/(-9). Differentiate 8*h**2 + 0 + 10 - 3 + w wrt h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 5*q**3\/6 + q**2 - 11*q. Suppose 0 = g + 2 - 4. Does 7 divide t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41\/80 + 1\/80. Suppose -o + 8 = -4. Let l be 0 + 1 - 11\/o. Put 0.2, l, g in descending order.\nAnswer: 0.2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((((z\/(z\/(z*z**1)*z)*z)\/z)\/z)\/z*z)*z**(-2\/3))\/((((z*z**(-2\/31))\/z)\/z)\/(z\/((z\/(z**(-12\/7)\/z))\/z))) assuming z is positive.\nAnswer: z**(445\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4578301*f**2*i**3 + 3*f*i**3 + 6107610*f*i**2 + i**3 + 1 wrt f?\nAnswer: 9156602*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 - -475. Suppose -5*d = -2*x - 61, -3*x - f = -2*d - 33. Which is smaller: -20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/72 and 5\/136008?\nAnswer: 136008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 127332.19 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:15 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -165. Suppose -4*p = p + u. Let a = 34 + p. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2489000 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*t = 280, -5*j - 11*t + 352 = -15*t. Calculate the greatest common factor of 168 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234665 (base 14) in base 15?\nAnswer: 18b742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 - -130. Suppose -4*s = -b - 2*b - 314, 0 = -l*b - 10. Calculate the remainder when s is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -31*t**2 + 36086*t + 72176. What is h(-2)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*i + 4*n - 14 = 0, 0 = 3*i - 3*n - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*p**2*r**3 + 8*p**2 + 13339*p*r**3 - 831*p*r - 7*r**3 - 33*r**2 - 13 wrt r.\nAnswer: 42*p**2 + 80034*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -19, -3, 25, 71, 141, 241?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.8 + 560472.\nAnswer: 560467.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 108. Let n be t(-28). Which is smaller: 13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 5:49 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 262733 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1 + sqrt(272)*1 + sqrt(272))*-3)**2 + -4.\nAnswer: -144*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 29 = -2*z, 0 = -76*u + 75*u + z - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 5*i**2 - i + 1. Let u(j) = -j**2 - 7*j - 6. Let s be u(-5). Is o(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96*(-8)\/1024)\/(2\/(-8)))\/(423\/2).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/4 + 69*k**4 + 5433*k**3\/4 + 6873*k**2\/2 - 285*k - 4578 = 0. Calculate k.\nAnswer: -14, -2, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7525, -7531, -7551, -7591, -7657?\nAnswer: -7755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20598 = -2*w + 2*a, 3*w - 6*w - a + 30889 = 0. Is 57 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/4 + 166351*o**2\/2 - 27649351361*o\/4 - 969358223435 = 0.\nAnswer: -140, 166421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y*z**4 + 15*y*z - 2240*z**6 - 298*z**2 wrt z?\nAnswer: 168*y*z - 268800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1296, 1304, 1326, 1368, 1436?\n\"Answer: g**3 + g**2 - 2*g + 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 - -33 - -163 - (-12 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 232 = -12*k + 8*k, 5*k - 286 = d. Let t = 305 + k. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -27. Is 10 a factor of 4 - 1 - (n - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 865, 826, 755, 646, 493, 290?\n\"Answer: -o**3 - 10*o**2 - 2*o + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25980 and 4155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394*a**2*g + a**2 - 9*a*g + 36*g wrt a.\nAnswer: -788*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -10. Let a(b) = -2*b. Determine a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 162.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 2*x**4 + 0*x + (-5*x**2 - 13*x + 13*x)*(5053 - 5053 + 3*x - 357*x**2).\nAnswer: 1787*x**4 - 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13405\/(-10724) + 5\/(-12)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o - 0. Suppose -o + 4 = -k, 3*s - k = 230. Calculate the remainder when s is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**4 + 3*k**3 + 355*k**2 - 355*k**2.\nAnswer: -3*k**3*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-48)\/2700*6)\/(10\/10)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Suppose 59 = -4*j + b. Is (-154)\/(-10) + j\/35 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*l**2 + 40*l**2 - 61*l**2 - 8*l)*(-5*l**3 + 12*l**3 + 5*l**3).\nAnswer: 24*l**5 - 96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000636352567 to six decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 19*a - 21. Let q be l(-17). Suppose -4*t - q = -53. List the prime factors of (15\/t)\/(9\/240).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*l + 36 = 4*r, 3*r + 4*l - 76 = 0. Suppose -q = -159 + 127. Suppose 18*f = r*f - q. Solve 0 = -5*v + s + 4*s + 25, 2*v - f = 4*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 1. Let g(n) = -9*n**2 - 21*n - 53. Let v(x) = g(x) + 2*i(x). Let f be v(-17). What is the greatest common divisor of 1241 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 6*d - 5 + 3*d + 37*d**2 + 2. Let j be o(4). Suppose 2*y - 366 = -2*c, c - j = -2*c + 2*y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9481671, 18963340, 28444999, 37926642, 47408263?\n\"Answer: -m**3 + m**2 + 9481673*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 354541939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c + 1. Let j be g(1). Let r be 4\/(-3) - (-4)\/j. Put 1, r, 3 in descending order.\nAnswer: 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrynoyynronnnnynon. Give prob of sequence yr.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 + 16)\/(2\/2). Solve 0 = 2*z - i*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70996 and 616?\nAnswer: 10933384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 544*n**4 - 2*n**3 + 4*n**2 - 212*n.\nAnswer: 6528*n**2 - 12*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21.978 from 1.30815.\nAnswer: 23.28615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/60 - t**2. Let s(q) = 2*q - 32254 + 32254. Give u(s(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2906 is divided by 722.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 17. Let u be t(-7). Suppose 0 = -2*f + u - 2. Let n = 7.1 - 7. What is the closest to -0.1 in f, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140988213.\nAnswer: 3, 15665357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((-235)\/(-45) + 10\/90 + -4). Solve 7 = l + h, -d*h = 4*l - l - 27 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*0*(-17)\/17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/1)\/(4 - 6). Suppose -4*v + v - 5*c + 421 = 0, -t*c = v - 142. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2*i + 7, -2*i + i + 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10286, 20563, 30840, 41117, 51394?\n\"Answer: 10277*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92720 and 2510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-13 + 1 + -3)) + (114 - 131 - -25)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1681*z - 45310. Calculate w(-27).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let l = -0.18 - -0.78. Let f = l - c. What is the second biggest value in 1\/3, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2 + 404004*w - 808016 = 0?\nAnswer: -202004, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5647120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/138 - (-13)\/(-39). Suppose 20 = 8*l + 6*l + 20. Is l at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 - (4\/8)\/((-3)\/6). Suppose 6*h + 28 = m*h. Suppose 0 = -3*f - 2*c + 13, 4*f = f - h*c + 23. Which is smaller: f or -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 55*z + 101. Calculate k(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57048116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myxj when four letters picked without replacement from myjtmjoooxooj?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58761048 to the nearest integer?\nAnswer: 7666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -673193061, 4, -3.\nAnswer: -673193061, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)*k)**(-13\/2)\/(k**(1\/4))**3)\/((k**(-1\/4)*k)**(-36)\/(k**(-1\/3)*(k\/(k*k\/(k*(k*k\/((k*k**(2\/11)*k)\/k))\/k*k)))\/k)) assuming k is positive.\nAnswer: k**(751\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15*l**2. Let n(w) = -807*w. Determine n(y(f)).\nAnswer: 12105*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/35 + 1)\/(1023\/(-2046))?\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277 + 0 + 744)*(-2 - 1 + 1 - 2*d)*(-5 + 3 + 4).\nAnswer: -1868*d - 1868","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -980 + a?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 6*r + 9. Let x be d(7). What is the greatest common factor of x and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440797652?\nAnswer: 2, 73, 1509581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 1\/2*i**2 + 23 + 2*i + 1\/3*i**3. Let g(t) = t**3 + t**2 - 2*t - 3. Let j be g(-2). Give f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 297 = 3*p, -2*t - 5*p + 204 = -0*p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glqg when four letters picked without replacement from rlqrgg.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -45*n - 17. Let x be o(-4). Let w = 42 + x. Let z = w - 103. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1218\/(-1015)*(-5)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317605 is divided by 31193?\nAnswer: 5675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7181543 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1727 by -157.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, v: 3}. Give prob of sequence wwww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 962.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 5384.\nAnswer: 5384.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2849, -5700, -8551, -11402, -14253?\n\"Answer: -2851*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*o - 3*r, -2*o = 2*r - r - 47. Suppose 2*y + 5*v = o, -v + 1 = -y + 2. Suppose y*i + 0 - 24 = 0. 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: Calculate (-4)\/((-9 - -5) + (0 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 6360 + 0*l + 12623 - 6263.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 121*q - 15. Let b(s) = -2*s - 1. Let j(t) = 3*b(t) + k(t). What is the units digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 6*d - 10*d)*(4 + 9 - 4) + (-2 + 0 + 3)*(d - d - d) + 4*d + d - 3*d.\nAnswer: -170*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 143 = 2*o. Let p = -68 - o. Let f be (-1 + -4)\/5*p. Sort 3, f, -10, -3 in descending order.\nAnswer: 3, f, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996703 to the power of 1\/2, to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:24 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 14*s - 20. What is the smallest common multiple of 18 and x(-16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - (-45)\/297. Let u = -3.2 + 3. Sort u, w, 3\/4 in decreasing order.\nAnswer: 3\/4, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101156 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458 + 231 - 7*j**2 + 2*j**2 + 227.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1630337874 divided by 3\nAnswer: -543445958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -457\/3 >= -351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*l = 24, 0 = -2*z - 5*l - 4 + 25. Find the first derivative of -5*a**2 + 3 - z*a**2 + 5*a**2 wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 9*y - 2*y - 5*y + 0*y + 3*y + (-3*y + 2*y - y)*(1 - 1 + 2) + 80*y - 167*y + 150*y to r + g*y and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.2 (c) 209\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5036478149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -3 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5\/3*k**3 - 11 - 1\/4*k**4 + 3\/2*k**2 - 6*k. Give o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 835\/669, 1\/11, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3516*g**2 - 456.\nAnswer: 7032*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + b - 34 = 0, -4*b + 3*b - 54 = -5*g. Suppose -y + 12 = -5*y, -2*y = -5*c + g. Let h = -0.12 - -0.12. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*j - 26, j - 4*j - 18 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 3. Let z be v(3). Suppose -z*g = -2*g. Suppose 4*p - 3*h + 2 = -2*h, g = 5*h - 10. Solve p = l + 6 - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**7\/2520 + f**6\/720 + f**5\/15 - 5*f**4\/3 - 4*f. Let c(h) be the third derivative of s(h). List the prime factors of c(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8264216*o + 201 - 8264213*o - 201.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-3381)\/1541) - -9\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*f + 3*f. Let w be 15\/2*f\/3. Suppose 44 + 39 = w*a - z, 3*z = -4*a + 55. Calculate the lowest common multiple of 20 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*6\/(-6)*(-32)\/(-6) + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1003, -901, -797, -691?\n\"Answer: x**2 + 99*x - 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.056 - -0.0933. Let c = z + -33.3373. What is c rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102221201111 + 112?\nAnswer: -22102221200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 697831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/3406035 and -187\/2220.\nAnswer: 13624140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-75))\/((-3)\/(-27))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-34)\/(-6))\/((-90)\/(-270)). Solve -l*f = -24*f - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180*c*t*y**2 + 4*c*t*y + 4*c*y**2 + 59*t - 24*y**2 + y with respect to c.\nAnswer: -180*t*y**2 + 4*t*y + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 157.4091225 seconds?\nAnswer: 0.00026026640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -99*a + 55. Let s be q(-9). Let l = -660 + s. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)\/i**(-3\/22)*(i**(-2\/29))**(4\/17) assuming i is positive.\nAnswer: i**(-74619\/10846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 8*z**2 + 0*z**2 - 3*z - 6*z**2 as t*z**2 + f + k*z and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**2*w**2 - 78*s**2*w + 254*s**2 + 9*s*w**2 - 2*s - 20 with respect to w.\nAnswer: -4*s**2*w - 78*s**2 + 18*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -456*o**2 - 16869*o + 111 = 0. Calculate o.\nAnswer: -37, 1\/152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2871, 3, 13, -3, -1, 0 in descending order.\nAnswer: 2871, 13, 5, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40393 (base 14) to base 3.\nAnswer: 21211202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37910 and 60656?\nAnswer: 303280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - a - 754 = 0, 5*d + 4*a - 730 = -a. Let k = -90 + d. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/4 - 223*o**3\/2 + 663*o**2 + 6903*o. Solve n(z) = 0 for z.\nAnswer: 2, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-315))\/((-24)\/42).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1516893*u**4 + 5174090*u**2.\nAnswer: -36405432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3072 and -53\/9822.\nAnswer: 5028864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6827\/6 + -42845\/42. Let u = k + -118. Let g = 0.6 - 0.6. Which is the closest to g? (a) 4 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 + 4) - (143 - 147)) + (-14 - -21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -41\/4. Suppose -t - 11 = -0*m - 3*m, 3*m + t - 1 = 0. Let s be (6 + -7)*(2 - 2). Which is the closest to j? (a) -1\/5 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86354 to the nearest 1000.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-52))\/(6*1\/40)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284420194*p**2*t + 733850*p - 31*t wrt p.\nAnswer: -568840388*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-21)\/2*(-4)\/6 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*s**3 - 6*s**3 - 12*s**3)*(2*s + 0 + 0) to the form o*s**3 + p*s**2 + d*s**4 + n + r*s and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 139 = -44. Let u(g) = -g + 33. Let h be u(7). What is the second derivative of -18*m**2 + 1 + h*m - z*m - 1 wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3260185\/66 - 49395. Find the common denominator of 67\/286 and x.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/109 + -4657\/654. Calculate the common denominator of t and 13\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 56. Suppose -5*y + 35360 = -4*c, -c + 21216 = 3*y + 3*c. Suppose -27*a = -a - y. What is the highest common divisor of a and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**3 - 170*f**2 + 188*f + 352 = 0. Calculate f.\nAnswer: -88\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*j**3 - 2*j**2 - 10*j - 1?\nAnswer: -102*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 + 2. Let h be l(-6). Let q(w) = -16*w + 16*w + 3*w**h + 1. Calculate q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (172*-2*(-9)\/(-180))\/(((-18)\/(-15))\/3).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105434819 and 15333?\nAnswer: 5111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*m**2 - 33*m**2 - 26*m**2 + 7*m**2 to the form k*m + j + c*m**2 and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1089 + -590. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599602573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*g**3 - 47*g**2 - 56*g**3 + 30*g**3 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n - 105. Calculate v(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 153\/(-12)) + (-770)\/77?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84350 - -35?\nAnswer: 84385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-406)\/(-783))\/(8\/18)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161108 = -33*z + 100318. Is 32 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 4. Let t(s) = -2*s + 5. Let c(i) = -5*n(i) + 6*t(i). Let o = 14 - 9. Let g be c(o). Is -1 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-56)\/(-42))\/((-8)\/(-6)). Let k(x) be the second derivative of 0 + 3\/10*x**5 + 1\/12*x**4 + 11*x + 0*x**2 - 1\/6*x**3. Determine k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let u(r) = 2*r**2 + 47*r. Calculate u(f(i)).\nAnswer: 8*i**2 + 94*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -729\/2 less than or equal to -875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304374.\nAnswer: 2, 3, 7, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07519 rounded to three dps?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 3*y**2 + 34*y - 1. Let h be g(8). Let b = h - -120. Suppose -5*z - 5*i + 320 = 0, -173 - b = -4*z - i. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*((2*sqrt(684))**2 + sqrt(684)) + 4 + sqrt(684) + -5).\nAnswer: 72*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56\/87 in -1\/4, -0.5, -0.3, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.14 and 0.42?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*x + 96. Calculate the highest common factor of 160 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1018.8 + 1554130\nAnswer: 1553111.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 0.5 (c) -3\/4 (d) 76 (e) 0.07 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 80487*p**2 - p + 264 + 80485*p**2 + 0*p to the form v + u*p + m*p**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -347094 divided by 4\nAnswer: -173547\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -10, 5*h - 11684 = 4*x + 48481. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 563*y**2 + 13*y + 3. Let s(u) = -2*u. Determine s(d(c)).\nAnswer: -1126*c**2 - 26*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -48 (b) -3 (c) 11 (d) 4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 4*d + 82. Suppose -3*n + 97 = -2*n. Calculate the remainder when n is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 3*k - 2*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14300182675 + 0.\nAnswer: 14300182675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.1 (c) -17401 (d) 0.0287 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/(sqrt(28)\/sqrt(4)))\/(3*sqrt(147)))\/(-4*((sqrt(125) - sqrt(125)*4) + sqrt(125))*-4).\nAnswer: -sqrt(2)\/3360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52770 and 116110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {c: 3, n: 8, d: 1, z: 5, o: 1, j: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 times 0.3948968\nAnswer: 1.02673168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1096787 or -1?\nAnswer: -3\/1096787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 204 + 211c7?\nAnswer: 213cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3544844, 3544842, 3544840, 3544838, 3544836, 3544834?\nAnswer: 3544832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.6, -3\/5, 0.3, 1, -2\/197?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -445*x - 5336. Determine q(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011101 - 11111222?\nAnswer: -10100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -60492.3005 + -222606?\nAnswer: -283098.3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1278462 divided by 1.\nAnswer: -1278462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.226, 4, -2\/15, -0.3, -6, -0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/4)\/(1\/(-16)). Let z be (-11 + (-697)\/(-51))\/((-8)\/(-18)). What is the highest common factor of z and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t + 1. Let q = -9 + 13. Suppose 5 = q*g - 3. Determine p(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 12*w**2 + 4. Suppose 0 = 3*q - 0*q + 5*g + 256, -318 = 4*q + 2*g. Let i be (-4)\/22 - (-987)\/q. What are the prime factors of x(i)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnh when three letters picked without replacement from knhnkkkkknnkkkhk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 181, -84, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/5 - 8*y**2. Let x be n(1). Let d be (-6)\/(-4) + (-6)\/x. Let r(f) = -f + 4. Let h(g) = -1. Give d*r(a) + 3*h(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/12936 and 43\/(-16) + 22\/((-1540)\/105)?\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 841, -2, -4, -0.265, -1?\nAnswer: -0.265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206 - -1852\/9. Suppose -19*u + 12*u - 35*u = 0. Which is the nearest to 2? (a) -5 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 6)*(-3 - q + 3) as l + n*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -3*f**5\/4 - 25*f**4\/6 + 20*f**3\/3 + 17*f. Determine z, given that x(z) = 0.\nAnswer: -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 5 - (2 + 4). Let g be (-4)\/(-10) - (-94)\/(-10). What are the prime factors of -15*(-3)\/(g\/t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*i**2 - 273*i**2 - 374*i**2 + 36*i**2.\nAnswer: -1024*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-18)*6\/4. Suppose -2*p - z*p + 500 = 0. Suppose -41 + p = 4*l. What is the highest common divisor of 14 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:28 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -621*y - 10379 + 53888 + 30390 for y.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + 183. Suppose 0 = -4*h - 3*m - s, 40 = -3*h + 5*m - 112. Let c = 76 + h. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 2*o**2 - 1\/3*o**3 + 0*o - 1. Find the second derivative of u(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6 + 0 + -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w**2 - 4*w - 9. Let i(a) be the first derivative of -10*a**3\/3 + a**2 + 4*a - 2. Let c(y) = -5*i(y) - 2*m(y). What is the units digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307 and 47513776?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/17, -286, -0.2, 5?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 divided by 6?\nAnswer: 172\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**3 + 2*u**3 + 2*u + 62 - 6*u**3 - 4*u**2 - u**3 - 2*u**3 to the form b*u**2 + g*u**3 + c + m*u and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 19*w**2 + 20*w**2 - 65*w**2 + 20*w**2 + 9*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 10:05 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 163 + -580c?\nAnswer: -5679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + (206\/(-5) - (-77)\/385)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 2. Let p be j(2). Solve -5 = h + d, -2*h - p*d = d + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*c, 3*c - 1 = 3*r - 4. Suppose -u = z - 6, 2*u = -2*z - u + 15. Let n be z*(2\/(-6) + 1). Sort n, 5, r.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*95.34.\nAnswer: 19.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*n + 1224*n - 4941*n + 1229*n + 1229*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**11\/18480 + b**7\/1260 + b**4\/6 + b. Let c(a) be the third derivative of n(a). What is the third derivative of c(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3917.62646 - 3877.626. Let y = -4 + 44. Let a = t - y. Round a to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 - 6005816?\nAnswer: -6005940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*l - 164727 = 64*l. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012265 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*v - 2*p + 42, v = 4*p - 6. Let b be 3\/(-6)*v - 1. Is b\/(-10)*(3 + -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -384 - -388. Let k be 12\/(-10)*20\/(-3). Solve 0 = -a*d + k, 0*w = -2*w + 5*d - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - r - 1. Let f be t(-5). List the prime factors of 6*1 - f\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 8, m: 1, g: 6, c: 1}. Give prob of picking 1 m, 1 h, and 1 c.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {v: 6, b: 3, n: 2, j: 2, x: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10ca7 (base 13) to base 15.\nAnswer: 9186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28)\/(-3)*(-12)\/(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3718147, -3718213, -3718281, -3718351?\nAnswer: -3718423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5148 = -65*d - 331*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8513241.\nAnswer: 3, 11, 107, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321588 divided by 1.\nAnswer: 321588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, i: 6}. Give prob of picking 2 i and 1 s.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Let m(c) = 3*c - 2. Let f be m(v). Let p = f + 1. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358623 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 119 + 2*w - 37)*(3 - 2 + 2).\nAnswer: 6*w + 381","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10100001011000?\nAnswer: -10100001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -5*r**4\/4 - 20*r**3\/3 + 105*r**2\/2 - 2011. Determine j, given that p(j) = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 1. Let g be y(-1). Let s(q) = 2*q - 3. Let j be s(g). Let a = 2 + j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50814 divided by -224.\nAnswer: -25407\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 3\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*r + 4 - 20 = 0, -4*r - 7 = -5*h. Solve 4*n - h*n - 18 = -3*i, 3*n + 5*i - 34 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*((0 + sqrt(180))**2*-5 + -1)*-2.\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100777 + -100751. Suppose 5*o - 3646 = -0*l - 3*l, -2*l = -2*o + 1452. Calculate the greatest common divisor of o and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 36 = -0*w - 3*w, 0 = -5*z - 3*w + 90. What is the remainder when 6120\/17 - (-15 - (-9 - 8)) is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.29 + 3.6. Let a = -1.186 + 0.476. Let o = a + k. What is the fourth smallest value in 5, -0.1, 0.1, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192998 decades in years?\nAnswer: 1.92998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22099870*-6\nAnswer: -132599220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1238313567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**3 + 3. What is the units digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1497 + 1495. What is the nearest to 31.7 in 1\/4, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*f = 4*f + 2, 0 = 2*a - 5*f + 11. What is the third derivative of -4*o**2 + o**3 - a*o**3 - o**3 + 0*o**2 wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from {x: 4, v: 7, m: 4, y: 4, a: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v - 397. Let b be d(0). Let j = -223 - b. Suppose -4*k - k = -4*q - j, q = -k + 33. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 + 7*o**3 - 14*o**3)*(-10 + 10 + 5*o) + (3*o**3 + 3 - 3)*(7*o + 2*o - o).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12840102 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137443 - 137443. Let n(h) = -h**2 + h + 4. Let d be n(0). Solve -3*y - 2*m + j + d = 0, 3 = -3*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. What is the third derivative of 0*m**2 - 3*m**3 - 2*m**3 - m**2 + c*m**3 wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -2\/19 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 741860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8861*q + 8942*q - 486 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 1955603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059 is divided by 108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5635 - -5840. What is the remainder when 798 is divided by l?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c - 6. Let n be b(2). Let g be (50\/n)\/(4\/6720*-4). Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.045, 2\/5, 6, 0.1, 5 in ascending order.\nAnswer: 0.045, 0.1, 2\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.8522 rounded to 1 dp?\nAnswer: -38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2004 + 2004. Let z be (3\/(-15))\/((-4)\/10). Does z = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 10) to base 8\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/9 + 109\/45. Which is smaller: -42 or v?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517158301 to the power of 1\/2, to the nearest integer?\nAnswer: 22741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -30*a**2 + a. Determine o(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 1, u: 2, d: 1, n: 1, j: 1}. What is prob of picking 1 j, 1 n, 1 m, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 12*h**2 - 7*h - 6. What is d(11)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 102\/21)*(-42)\/(-9). Suppose -v*m + 172 = -56. Let y = 161 - m. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q + 29. Is m(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -18022?\nAnswer: -1801b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let p = 12 - 11. What is the biggest value in k, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = g - 3*g + 211, -5*g + 97 = -2*z. Let c = z + 79. Calculate the remainder when 188 is divided by c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 - 639612403827.\nAnswer: -639612403662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 397 in -4, -0.67, 8, -3\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92802 is divided by 901.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4310 and 57\/50?\nAnswer: 21550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 482 - 482.0398. Let g = b + 0.04277. Round g to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 235946, 943782, 2123508, 3775124, 5898630, 8494026?\n\"Answer: 235945*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 5*f**2 + 5*f - 10. Determine k(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(968)*-1))**2 - -4*(sqrt(32)*5 + 2 + sqrt(2) + sqrt(2) + -1).\nAnswer: 534\/121 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3576 and 6008872.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from kbbbkbbbb.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -468*z. Let w(u) = -36*u. Let n(v) = 2*o(v) - 27*w(v). Let q(h) = -3*h**2. Give n(q(m)).\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -11 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -120*r - 79. Let s be a(-20). Suppose 32*l = 43*l - s. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/70)\/((-21)\/(526995\/(-868))). Let c = -17\/124 + i. Calculate the common denominator of c and (-2)\/(-12)*268\/6.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/4 + 1\/4*a - 1\/4*a**2 - 1\/4*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 11*y = -965 - 191. What is the remainder when 470 is divided by y?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n. Let j(y) = 21*y - 5. Calculate j(t) + 4*l(t).\nAnswer: 33*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11b6 - 5?\nAnswer: -11bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b. Suppose b*a - 4*a + 16 = 0. What is the least common multiple of 2 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 27. Let f = y + -5. What is the tens digit of ((-6)\/2 - -1)\/(f\/(-1859))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4363582?\nAnswer: 17454328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**6\/120 + 7*n**5\/60 - n**4\/8 - n**3\/3 + 6*n**2. What are the prime factors of r(5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:25 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 627539183\/91431 + 285\/10159. Let p = i + -6856. Calculate the common denominator of p and 40\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5070 + -5069. Let v(m) = 10*m - 9. Calculate v(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*t - 29*t**2 + 27*t**2 - 18 + 18 as p + n*t + x*t**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + sqrt(75) + -2.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m + 12 = -5*u, -2*m = -6. Suppose -r - 4*a + 15 = u, -5*r = -2*a - a - 190. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/2*(-464)\/(-3480)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 6 = 6*m, m + 4*i = 12 - 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 382?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 0*s - 3*s)*(-94 + 94 + 10*s).\nAnswer: -10*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose -y = 1 - o. Suppose -y*k - k = -6. Solve 10 = 5*i - 5*r, -2*i - k*r - 21 = -5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 794, 1581, 2360, 3131, 3894, 4649?\nAnswer: 5396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/5 + 49678*s**4\/5 + 86919444*s**3\/5 + 86820092*s**2\/5 - 86919446*s\/5 - 17373954 = 0.\nAnswer: -22945, -1893, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8809\/3132 + -47\/116. Calculate the common denominator of z and 5\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 13 = -n. Let g be (-146)\/3 - n\/(-6). Let k = -24 - g. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2132835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*b**3*x + 41110*b**3 + b**2*x + 42*b**2 + 13*b*x + 2*b - 2*x + 416 wrt b.\nAnswer: 906*x + 246660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -20, -31, -42, -53, -64?\n\"Answer: -11*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 25*c**2 + 53*c + 27. Let h be i(27). Let z = 20 - -150. Suppose -10*f + 12*f - z = h. Does 40 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 683 = 653. Suppose 0*x = 4*p - x - 25, 2*p - 8 = 2*x. Is p <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1290*h - 1345*h + 880 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*a = 376*a - 1144 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3 + 4530*b**2 + 1758816*b + 36533376 = 0.\nAnswer: -744, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1274246782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-8)\/(-3))*390\/(-52). Let b be (v\/4)\/((-55)\/66). Is b bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 455 - 2274\/5. Let c(j) be the first derivative of -1 - u*j**4 + 4\/15*j**3 + 0*j**2 + 0*j. Factor c(x).\nAnswer: -4*x**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 7*j. Let b(i) = -i**2 + 6*i + 3. Let g be b(6). Let h be d(g). Suppose 3*o + h = 0, -6 = -3*a - o + 4*o. Do a and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 29 + (-1 - 24) + (-4 - -16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/1965810 and 251\/53130.\nAnswer: 1965810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k + 4. Suppose -25 = -3*h + k. Suppose -57*j + 1591 = -20*j. What is the remainder when j is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 388075*b - 387975*b + 6300 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -117. Suppose 0 = -w*d - 4*d + 495. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112, -189, -280, -391, -528?\n\"Answer: -z**3 - z**2 - 67*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.99 - 0.11. Let z = -0.12 - g. Sort 3, 1, z.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 10 = 0, 0 = b + 3*v + 2661. What is the common denominator of (-2)\/8 + (b\/252 - -4) and (1 - (3 + -2))*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 + 4583*q**2 - 1568840*q + 139750156 = 0. What is q?\nAnswer: 182, 4219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjm when three letters picked without replacement from mmriiiiryjjmjmjm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.559031 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189101 - -7374937\/39. Let g = 0.1 + -2.1. What is the third biggest value in x, g, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 27*k**2 + 58*k - 7. Suppose -5*p = 4*a - 133, -5*p + 5*a = 155 - 315. Calculate q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - 101. Suppose -4*q + q - 5*h = -53, -q = 4*h - 27. Calculate the smallest common multiple of q and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121020001102 (base 3) to base 8.\nAnswer: 1157554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294\/8 - (-6)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 156, 598, 1326, 2340, 3640, 5226?\n\"Answer: 143*z**2 + 13*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (2084 - 2062)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 16475*d = 16477*d - 2, 3*q - d = -7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 23 (b) -5 (c) 5 (d) -1 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50084 + 96077 - 49942)*(-m**2 - 3*m**2 + 5*m**2).\nAnswer: -3949*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 4 = -24*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 9*x - 110. Let p be t(-14). Let r = p + -411. Sort -4, 10, r in decreasing order.\nAnswer: 10, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 2) + (63 - 38).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/37 in 4, -2, 2\/13, 1783?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 17*z + 948. What is u(-8)?\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1.235?\nAnswer: -0.3705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 5, 15 = 3*w + 2*w + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-2))\/((-5)\/10). Let y be (r - 1) + 3 - -9. Solve y + 19 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.1 (c) 1\/15 (d) 4 (e) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00167314862 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 104. What is the highest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1599473kg?\nAnswer: 159.9473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:35 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.63?\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 n when three letters picked without replacement from {y: 3, u: 4, f: 5, n: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*(-12)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1214906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 2\/11 (b) -5 (c) -3\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3977040 and -161\/60.\nAnswer: 3977040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1015833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*o + 2273 = -79*o - 12182. Calculate the highest common divisor of o and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6750 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. Let l(m) = -39*m - 13. Is l(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {j: 3, k: 2, x: 2, s: 3, y: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*s + 12, -4*f + 2*f + 4 = 2*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)*d**11)\/(d**(-2\/31)*d*(d\/(d*d*d**0*d)*d*d)\/d) assuming d is positive.\nAnswer: d**(1684\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 2068 = 2*p. Let k be p\/(-6) - -5 - 2*2. Let j = k - -332. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4957 is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, v: 4, m: 8, x: 3}. Give prob of sequence mvuv.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiegkiiyye. Give prob of sequence eg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5667831 - 5667822.000042. Let c = 9 - y. Round c to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.541 times -4\nAnswer: 2.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let r(d) = 5*d**2 - d. Suppose -5 - 3 = 4*k. Let u(h) = k*r(h) - 2*p(h). Let q(l) be the third derivative of -l**5\/20 - 4*l**2. Determine u(q(i)).\nAnswer: -90*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1175 + 1175. Let q(g) be the third derivative of 12*g**2 + a*g - 1\/24*g**4 + 0 + 0*g**3 - 2\/15*g**5. What is the second derivative of q(i) wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0*j**2 + 0 + 3*j - 1\/20*j**5 + 1\/4*j**4 + 0*j**3. Find b such that a(b) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(6 - 2). Let w = 4055 - 4051. Solve -w*y - 2*a - 12 = 0, 2*y = -n*y - 5*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*u - 62 = 0, -2*i + 0*u = 2*u - 34. Let v = 50 - i. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n - 2908. Let m = n - -6989. Let k = -2181 + m. Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 6*o + 7. Let b be p(5). Let x = -11 + b. Suppose -c - 4*z - x = 0, 4*c - 5*z = -3*z + 50. What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*p)*(3*p - 2*p - 4*p) + (-4*p + 5*p + 3*p)*(7 + 5 - 1)*(-19 + 37 - 59*p - 20).\nAnswer: -2602*p**2 - 88*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 21*d + 531 = 0. Is d a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 - -2 - -5)*7490\/7000 and 173\/42.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14456413 (base 7) to base 10\nAnswer: -1375636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (-54)\/63*1*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2665 + -5.2665. Which is the closest to 1? (a) -11 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*u**2 - 12*u**2 - 4*u + 4*u - 5.\nAnswer: 78*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwv when three letters picked without replacement from {v: 10, j: 1, w: 8}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221\/110 - -224\/165. Find the common denominator of r and 17\/(-25)*(-30)\/12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -928, -8815, -21960, -40363?\n\"Answer: -2629*m**2 + 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -13*m**6\/60 - m**5\/20 - m**4\/12 - m**3\/6 - 316*m**2. Let h be r(-1). Solve -13*n + h = -41 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*a + 5*a + 85*a**3 - 84*a**3 to y*a**2 + z*a + d + k*a**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m\/(((m\/(m**(2\/81)\/m*m))\/m)\/m))\/m)\/m))\/m**(-1\/18))\/(m\/(m**(-1\/3)*m)*(m**(-3\/34)*m)\/m) assuming m is positive.\nAnswer: m**(1082\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -9. Let b(m) = 4*m + 7. Let y(z) = 25*z + 41. Let o(i) = 13*i + 21. Let h(k) = 11*o(k) - 6*y(k). Let r(x) = -5*b(x) - 3*h(x). Calculate r(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 + 0.293793.\nAnswer: 279.293793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4454 * 3.561\nAnswer: 15860.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 44*y - 43*y. Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x**2 - 166*x - 14. Is 11 a factor of z(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2093 and 1794?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*o + 179*o + 5*a + 10, -2*o + 3*a = -6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:42 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 601 = -5*l. Suppose -l = c - 7*c. Suppose -5*i + f = 655, -135 = i + 2*f - c. What is i rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 16. Let n = 32 - 9. Let v = 44 - n. What is the greatest common factor of h and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqa. What is prob of sequence ga?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1920 + -1917. Put 1, n, 5, 13 in decreasing order.\nAnswer: 13, 5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 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: Let c = 5612 - 5639.51. Let t = -2.69 + c. Let u = t + 30. What is u rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49151 - 24*b**3 + 49151.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 (base 10) in base 3?\nAnswer: 12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29296013 to the power of 1\/2, to the nearest integer?\nAnswer: 5413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30685 + -32817.5. What is m rounded to the nearest ten?\nAnswer: -2130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -29. Let g = 36 - 0. Suppose 3*j = p*j - g. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35214883321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-12 + 8704790*x**2 - 8704717*x**2 - 3).\nAnswer: -146*x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1cc?\nAnswer: -1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432420310 (base 5) in base 16?\nAnswer: 57b5ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234635 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 3*i - 3*i)*(8*i + 7*i - 16*i - 4) in the form b*i**2 + t*i + s and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/12 - 5*p**2\/2 - 3*p + 3. Let b(q) be the first derivative of c(q). What is b(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:51 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -52. Suppose -6*z + 5*z - 5*a = -69, -a - u = 0. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 + 345799*d**2 - 691599*d**2 + 345799*d**2.\nAnswer: 26*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(10\/(-12))*80\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101486356, 202972710, 304459064?\nAnswer: 405945418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Suppose b*m - 5 = -5*w - 4, 0 = -w - 1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 64*s**2 - 64*s + 64. Determine u(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1928*m + 15425. Calculate q(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - (2 + sqrt(1377))) + -2 + -1 + sqrt(1377) + -3)*-5)**2.\nAnswer: -3600*sqrt(17) + 36025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1))**(1\/27)*o**(2\/5)\/(o*o**(1\/3)))**7 assuming o is positive.\nAnswer: o**(-812\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78560 and 2080?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)\/(sqrt(9) + (sqrt(72)\/sqrt(2) - sqrt(36))\/sqrt(4)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-252)\/54*3\/(-42). Which is the closest to 5? (a) -0.4 (b) m (c) -13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 3, -1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + -4 + -1 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/15 + 11*t**2 - 3*t. Let b(v) = -v**2. Determine b(n(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3 + 17. Suppose -g - 3*m - 31 = -3*g, m = b*g - 97. Calculate the highest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voov. What is prob of sequence vv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3552104 - 724627495\/204. Let c = -210\/17 + j. Let v = -7346 - -73533\/10. What is the common denominator of c and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 6694924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*k - k - 73*k - 140*k - 29*k.\nAnswer: -361*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 30*r + 1003. Determine f(-33).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -29*a + 1434. What is the units digit of j(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 2) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 6*s + 381. Let v be 1\/(s\/(-1363840))*(-150)\/(-4). What is v rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.2 times 0.8?\nAnswer: 367.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 225 (b) 1\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**2 - 2 + 46*m - 48*m + 2 as i*m + v*m**2 + y and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 1. Let c = 6 + j. Let n = 18.5 - 19. Sort c, n, -0.03.\nAnswer: n, -0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**7*f*f)*f*f**(-3\/7))\/(f\/f**0*f*f**(-4)) assuming f is positive.\nAnswer: f**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:15 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - 4*h**3 + 2 + h + 3*h**3 + 4*h**4 + 2*h**2 - 3 to q*h**4 + g*h**3 + n*h + f*h**2 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-601)\/(525875\/750))\/(3\/2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52035 (base 6) to base 16.\nAnswer: 1b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*m + 208*m = -252. Calculate the greatest common factor of m and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-381)\/(-2921))\/((-12)\/8).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 46 + 7 + 73)*(-15 + 16 + 6*w - 2*w).\nAnswer: 528*w + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.82222 meters in micrometers?\nAnswer: 39822220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2.0898.\nAnswer: 9.0898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -270 + 126. Let m be (10\/2)\/(16\/o) - 2. What is the closest to -0.3 in m, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5511, 12634, 21381, 31752, 43747, 57366, 72609?\nAnswer: 89476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655321 is divided by 163823?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*b - 10 - 32*b - 83*b**2 + 84*b**2 + 25*b as t + q*b**2 + l*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 6*g**2 - 2*g + 11. Let h be v(6). Let c be (-3)\/5 - h - 48\/45. Let x = 2.08 - 0.08. Sort c, -0.5, x in decreasing order.\nAnswer: x, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9337*v**2 - v + 576?\nAnswer: -18674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 1 - v + 8*v + 1 - 4. Let h be x(6). Solve 0 = -2*z - b - b - h, -3*z = -b + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -46 (b) 2 (c) 0.1032 (d) 2\/23 (e) -3 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 290696, 290710, 290726, 290744, 290764, 290786?\n\"Answer: d**2 + 11*d + 290684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**2 + 5*j + 4 - j**2 + 15*j**2. Is 18 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 10*h + 135. Let s = -6 - h. Let k be (-1 + s + -3)*5. Solve 0 = -c - 5*v - 5, 3*c - 2*v + 15 = -k*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31730170.24*0.1.\nAnswer: 3173017.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -826 + 826. Let u(a) = a**3 - 9*a**2 + a - 9. Let g be u(9). Let s be -2 + (4 + -2 - g). Are s and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/((-1)\/6). Suppose 7 = 4*j + v*m - 53, -2*j + 44 = 5*m. Let q be j - (-3 - 12\/(-2)). Calculate the greatest common divisor of q and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-82)\/697 - -6*454\/(-7480)) + 0 and (-3 - 794\/(-264))*158.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -879, -212, -2 in descending order.\nAnswer: 3, -2, -212, -879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 + 4*r**3 - 3*r**3 + 1 + 0*r**3 + 8 - 2*r. Let c be m(4). Round c to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -132 - 300. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = v - 4, 8*r - v = 10*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f + f + 4*f)*(3 - 3 + 2*f**2) + 10 - f**3 - 10 + 0*f**3 - 2*f**3 + f**3)*(0*f + 4*f + 4*f)*(f - 2*f + 2*f).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 357.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.179 take away 39673.8465?\nAnswer: -39669.6675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + b + 45 = -4*b, b = 5*v + 225. Let l = v - -47. Let s(a) = 12*a + 6*a**l - 12*a + 4*a**2. Let q(j) = -3*j**2. Determine -16*q(y) - 5*s(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i)**(4\/9)\/(i\/((i**(-1\/4)*i)\/i))**42 assuming i is positive.\nAnswer: i**(-937\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 133687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 9*z - 7. Let o be d(9). Let b = 35 - o. Suppose 3*r - 2*g + 5*g = 36, -2*g + b = 4*r. 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 v(r) = -2*r**2 + 6*r + 140. Calculate v(13).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 5*a**2 + 7*a - 5. Let u be v(2). Suppose -n = -u*s - 9, -3*s + 0*n - 7 = n. Is s < -39\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:12 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-35) + (-32)\/(-7). Suppose -2*z + 3*s = -7, 0*z - 5*s = -2*z + 9. Suppose -u*j - z*j = -168. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83828652 divided by 4\nAnswer: 20957163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -259*y - 5420. Let x be l(-21). Put x, -5, 10, 4 in ascending order.\nAnswer: -5, 4, 10, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080960 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 16*o**2. Let m(q) = -9*q - 3*q + 15*q - 2*q. Calculate m(t(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -994 + 1052. Do x and -5\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 e when four letters picked without replacement from mmememejmmejeeemjm.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2267360 by -383.\nAnswer: 5920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60483 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 109477205753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*((sqrt(80) + (sqrt(80) - (sqrt(80) + 0)))*-2 + -5) + (2 + 0 + (sqrt(80) - (1 + sqrt(80)) - sqrt(80)))*5)*3)**2.\nAnswer: 317520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*m - 9 = -11, -m = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 2*s - 1. Let z be t(1). Let o(v) = 480*v. Let x be o(z). Round x to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 95. What is z(0)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17) + 2 + sqrt(17))*-2 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 116*a + 120.\nAnswer: -4*(a - 30)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhtttthttttt. Give prob of picking 2 t and 1 h.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*y + 37 = 5*z, 4*z = 2*y + 14. Let t = 16 - z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 282280 and -0.4?\nAnswer: -112912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbby when four letters picked without replacement from {y: 2, b: 3, x: 1, v: 4}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17078?\nAnswer: 2, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/389, 2\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/20*(-1 + 9). Let n = 799 + -796. Let k(v) = v**2 - v - 1. Let q(x) = -12*x**2 + 14*x + 14. What is g*k(o) + n*q(o)?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-10)\/36)*(-3470)\/(-283846)*409.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100010101110001001010?\nAnswer: 100010101110001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9300\/624 + -15 - 2\/13. Which is the nearest to -2\/7? (a) -3\/5 (b) -0.4 (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 82*k - 1006. Determine p(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.85 times -0.03\nAnswer: 0.0555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - z + 3)*(7*z - 2 + 2) - 1574*z**2 + 1575*z**2 - 34 - 64.\nAnswer: -6*z**2 - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10079 = -552*s + 13492 - 18920 - 31413 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, -240, -1032, -2546, -5016, -8676, -13760, -20502?\n\"Answer: -39*g**3 - 10*g**2 - g + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.317 and 0.01.\nAnswer: 0.00317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 2. Let n(g) = 1. Let p be -7 + 3 + 1 + 0. Let x(o) = -o**3 - 4*o**2 - 3*o - 6. Let k be x(-4). Let c = k + p. Give c*n(h) - 2*t(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 10 - 10)*(1 + 13*a**2 - 46*a + 46*a).\nAnswer: -26*a**5 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133031197?\nAnswer: 13, 47, 217727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -100*y**2 + 12*y. Let h(n) = 8*n**2 - n. Let k(p) = 12*h(p) + v(p). Let u(o) = -272*o + 2. Calculate k(u(z)).\nAnswer: -295936*z**2 + 4352*z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 - 55*l + 17. Suppose o - 6*o - 15 = 0, 4*y + 57 = o. List the prime factors of q(y).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 16*v**2 + 11*v - 13. Let u be x(-15). What is the second derivative of -z**4 + 2*z**3 - u*z**5 - 28*z + 73*z**5 - 2*z**3 wrt z?\nAnswer: 520*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 9. Let t be -2 + g\/((-30)\/32). What is the third biggest value in t, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/6 + 13*f**2\/3 + 35*f\/6 + 1.\nAnswer: (f + 2)*(f + 3)*(5*f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(-10) + (-3)\/5. Let l(b) = -b + 6. Let a be l(c). Suppose -a*w + 3*y - 3 - 9 = 0, 3*w = -4*y + 23. Sort -1, 3, w.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 617 + -526. Let b(p) = 22*p**2 - 2*p - 1. Calculate the remainder when a is divided by b(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*d - 20*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*c**2 + 4\/13*c + 0 = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2495.5584 hours to days.\nAnswer: 103.9816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11*56\/5852 - ((-24)\/133 - 0). Sort 5, 0.4, -0.02, d in ascending order.\nAnswer: -0.02, d, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 - -199. Let l = s + -89. What is the nearest to -2\/3 in 1\/4, l, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7913925 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*v - 91*v - 20 = 0. What is the smallest common multiple of v and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82c76 (base 13) to base 2\nAnswer: 111001010111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**7\/a)\/a)**(4\/19)\/(a**(-16)*a\/(a**(-15)*a*a)) assuming a is positive.\nAnswer: a**(62\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958697 is divided by 936.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 21. Let o = -6 + x. Solve u - 2*q = 1, -o*u = -4*u + 5*q + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8102 = 39*i - 8648 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 2, 9308\/447, 0 in ascending order.\nAnswer: -0.2, 0, 2, 3, 9308\/447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 22*n = -988. What is the greatest common divisor of 1254 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/2)*g*g)\/g**(-4)*g**(-1\/3)\/((g\/g**(3\/4))\/g)*((g*g**(-2\/7)\/g)\/(g\/(g\/(g*(g\/(g\/g**5))\/g*g))))\/(g**(-1))**(-2\/69) assuming g is positive.\nAnswer: g**(3095\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 3. Let q = 0.05 - -0.03. Let g = q + 2.92. What is the nearest to -1\/3 in o, 5, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -0.8 (c) -0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 9, -0.2, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 0. Let v(l) = -l + 8*l + u*l. Let g(t) = -2 - 36*t + 35*t + 2. Calculate v(g(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5318 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:19 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311*-4.\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*t**5 - 106*t**5 - 41*t**5)*(-1 + 3 - 1).\nAnswer: 45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.74 - -1.84. What is the closest to u in 2.7, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680511943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 898\/26431 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5*k + 10 + (-1 + 3 - 14)*(0*k + 2*k - k) - k - 4 + 4)*(3*k + 8 - 8).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u\/u**(11\/4)*u*u*u*u**16*(u*u**(-3)\/u)**45 assuming u is positive.\nAnswer: u**(-463\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1368336890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1073\/(-74) + (-39)\/(-6) + -2 + (-176)\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**5\/90 + 203*n**4\/18 - 41209*n**3\/9 + 9*n**2 + 35*n. What is d in r(d) = 0?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2102212313 (base 4) to base 2\nAnswer: 10010010100110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**2 - h - 4*h**2)*(16*h - 93*h - 91*h).\nAnswer: 336*h**3 + 168*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q = -25*q + 5*x - 8480, 0 = -2*q - x + 3390. What is the highest common divisor of q and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87294.5 and -1.\nAnswer: 87294.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2286 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -49.3 (b) -0.3 (c) 12 (d) -0.2 (e) 2 (f) -172 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870297 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*c + 7 = 0, 4*r - 11 = c + 5. Suppose -5*f + 16 = 6. What is the second derivative of -2*b**2 - 7*b + f*b**2 + 3*b**3 + 7*b**r wrt b?\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Let h(d) = d**2 - 5*d + 12. Calculate the smallest common multiple of k and h(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) 957 (c) -0.2 (d) -4\/5 (e) 1\/29 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -508009 (base 12) to base 7.\nAnswer: -13456422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + -147. Solve 2*y = 5*d + g, d - 2 = 2*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5, 11, 0, -51 in ascending order.\nAnswer: -51, -22, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 8*t**2 - 7*t + 2. Let u be q(7). Let n(z) = 38*z + 233. Let s be n(-6). What is the greatest common factor of s and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125055?\nAnswer: 3, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**5 + 49*i**4 - 49*i**4 + 2 + (3*i**3 + 0*i**3 + i**3)*(-i**2 - 2*i**2 + i**2) + 2*i**5 - 3*i**5 + 0*i**5.\nAnswer: -15*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*v = -2*g - 8, 5*v + 5*g = -20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 156353, 156468, 156777, 157376, 158361?\n\"Answer: 16*m**3 + m**2 + 156336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -a - 5*m, 2*a - 4 = 3*m - 2*m. Let s be -71*(-2*a\/2 + -6). Let f = s + -316. What are the prime factors of f?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4) - 0)*(3517 - 55). Suppose -23*g + 4870 + q = 0. Is g a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 38 (b) -3778 (c) -0.5 (d) 1\/5 (e) 0.4 (f) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by -270\nAnswer: 107\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.80893445\nAnswer: -2.80893445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 3035?\nAnswer: -3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 11 - 18)*(3*q - 2*q + q)*(3*q**2 - 5*q + 5*q) in the form n*q + x + f*q**2 + s*q**3 and give s.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 51*r**5\/5 - 45*r**4\/4 - 2*r**3 + 252. What is m in x(m) = 0?\nAnswer: -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zey when three letters picked without replacement from yeynnnynnyz.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/24635 and 15\/93613?\nAnswer: 468065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7680559*r**6 + r**3 - 9961*r**2 + 33 wrt r.\nAnswer: 921667080*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - 1) + 682 + -634\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 0*b + 3*b - 19*b**2 + 22*b**2 + b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329034254.\nAnswer: 2, 164517127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 244 (c) 3 (d) -0.23 (e) -5 (f) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 526234 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 19*z**2 - 76*z - 359. What is u(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, w: 1, a: 1, v: 2, f: 1}. What is prob of sequence av?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231202 (base 4) to base 14.\nAnswer: 10c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5618 + -2720. Is v a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17843524*q**2 + 44899292*q.\nAnswer: 35687048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/2 + 20979*g**2 + 293589*g\/2 + 209685 = 0.\nAnswer: -13979, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 2*t**2 + 2. Suppose 16 = -5*c + 5*d - 14, -4*d + 28 = -5*c. What is the remainder when f(4) is divided by (c\/16)\/((-1)\/76)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(432))**2 + (((sqrt(3) - (sqrt(3) - sqrt(15)\/sqrt(5))) + 5 - sqrt(3) - sqrt(15)\/sqrt(5)*-3)*2)**2.\nAnswer: -168*sqrt(3) + 2824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, k: 2, z: 1, j: 1, n: 2}. What is prob of sequence nz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2 - 4110*b + 41400 = 0. Calculate b.\nAnswer: -1380, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 44. Solve a*s + 6 - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(34\/3)*i**0*i**9\/i)**(-7\/5) assuming i is positive.\nAnswer: i**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00466247324 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t + 803 + 688 = 672 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1587*n**2*v + 3676*n**2*w**2 + 2*n*v*w - 40*n*w**2 + 6425*n*w - v*w + 8*w**2 wrt n.\nAnswer: 3174*v + 7352*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-1)\/(9\/18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/4, 0.3, -2\/25, 6\/61 in decreasing order.\nAnswer: 4, 0.3, 1\/4, 6\/61, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 68, -129, -636, -1555?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 11*d**2 - 26*d - 2. Calculate u(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 (base 10) in base 5?\nAnswer: -3232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (39130\/26)\/35*1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b**3 - 3*b - 4. Let u(v) = -16*v**3 + 4*v + 6. Suppose 14*z + 70 = -0. Calculate z*u(g) - 7*i(g).\nAnswer: 3*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/78 and (-7*(-18)\/174720)\/((-4)\/55).\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/13 - 98*z + 14256\/13 = 0.\nAnswer: -648, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 28*u - 26. Suppose -4*y + 27 + 7 = -2*q, -2*q - 14 = y. What is the units digit of g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**3 + 16\/15 - 14\/15*g**4 - 2\/15*g**2 + 4*g = 0.\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/72)\/((-5)\/(-48))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, -7 in ascending order.\nAnswer: -17, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*u + 19. Calculate the remainder when 59 is divided by (30\/(-3))\/(3\/u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/5592 and -19\/50328.\nAnswer: 50328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7673760431 to the power of 1\/3, to the nearest integer?\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let w be (m + 0 - 0)*-1. Let p(t) = 2*t**2 + 4*t + 4. List the prime factors of p(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 450540 - 524?\nAnswer: 450012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3908622.\nAnswer: 2, 3, 651437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 - 2040*m + 520200 = 0.\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -13, -0.04, -0.5 in decreasing order.\nAnswer: 24, -0.04, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-15) + 2 + (-1)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/30*-5*(0 + 0). Let y(w) be the first derivative of a*w + 3\/4*w**4 - 2*w**2 - 1 + 0*w**3. What is the second derivative of y(g) wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + (-4 + 3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1. Suppose 5*c + 3 = -2. Let y(b) = -318*b. Let p(n) = -5725*n - 4. Let j(t) = p(t) - 18*y(t). Determine c*j(q) + 3*f(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*m - m + 11, -4*m = h + 7. Suppose x - 2*z - 7 = -5*z, -x + 11 = h*z. Let p = -2459 - -2464. What is the lowest common multiple of p and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9317579 and -0.5.\nAnswer: -4658789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g - 14. Suppose -2*j + u - 96 = 21, 163 = -3*j - u. Let q = j + 67. What is the remainder when f(q) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 2, 7, 0, -14 in decreasing order.\nAnswer: 7, 2, 0, -1, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 8*i + 19*i**2 - 5*i + 182*i**2.\nAnswer: 201*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -213738, -213731, -213724?\n\"Answer: 7*g - 213745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/41124493 or 0?\nAnswer: -1\/41124493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/2, -5, -0.038.\nAnswer: -5, -3\/2, -0.038, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 - 196. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-312))\/((-145)\/(-12))?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 + 8*a**2 - 19*a**2.\nAnswer: -11*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*p = 12, -4*w = -p - 3 + 7. Suppose g - 167 = -w. What is g rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 4*r**2\/3 + 1530*r - 27216.\nAnswer: -2*(r - 27)**2*(r + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f - 84*f - 36 = 3*n, n + 9*f + 37 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 5*r - 27, -10 = -2*r. Let j(n) = 23*n**2 + 3*n + 3. Is j(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1790*d**2 + 8*d - 4. Let v(s) = 72*s**2. Calculate g(v(n)).\nAnswer: -9279360*n**4 + 576*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrm when four letters picked without replacement from rmrrrrcrrrzrrmm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 14*x**2 - 18*x + 2. Let u(s) = s**2 - 2*s + 1. What is 3*u(i) - z(i)?\nAnswer: -11*i**2 + 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 150.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i - 5. Let g be p(7). Let r = -8 - -13. Suppose -r*v - 2*o + 104 = 0, 0 = 4*v - 2*o - g - 4. Calculate the greatest common factor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.1, 3, -0.4, 14390?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 34.62.\nAnswer: -33.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14188800181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 88. Suppose k = -0*k + h. Suppose -5*f = 4*i - k, -i = 3*i + f - 84. What is the highest common factor of i and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3618*c**2*k**5 - c**2*k**2 + 7*c**2*k - 2*c*k - 4*c + 31*k wrt k?\nAnswer: -72360*c**2*k**3 - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -5 (c) 0.1 (d) -21 (e) -0.04 (f) 31 (g) -4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 23*w**2 - 8*w + 15*w - 7*w. Let j(i) = -152*i**2 + 75*i**2 + 76*i**2. Determine j(s(c)).\nAnswer: -529*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j + 6 - 31*j**2 + 5 + 30*j**2 - 2. Suppose -4*o = 12, -5*s - 3*o = 6 - 32. Calculate i(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 2)*-2 - (1 + (sqrt(5) - sqrt(20)))**2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450848?\nAnswer: 2, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -154 - 2285. Let u = -231703\/95 + c. Let r = u + 467\/380. Calculate the common denominator of 59\/18 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4.94, -2, 173, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81484766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*a + 63850 + 48899. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-374)\/165)\/(182\/455)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2473 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/15 (b) 2\/7 (c) 12 (d) 0.2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 12, -18*z + 19*z + 3*g - 17 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/54 + -7*(-4)\/378. Factor 0 - 3\/7*d**4 + 9\/7*d**2 + t*d**3 - 6\/7*d.\nAnswer: -3*d*(d - 1)**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 6, v: 4}. Give prob of picking 1 j and 2 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, 9, 11320?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11*(-8)\/(-220) - (-7334)\/(-10). Which is smaller: v or -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401 - -12 - 12\/(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. What is the second derivative of 7*z**4 - 9*z**4 + 2*z + b*z wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(55)\/(sqrt(44) - sqrt(11)) - 4*(sqrt(5) + (sqrt(105)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101111011101011 (base 2) to base 11.\nAnswer: -a6807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2956155*c*d**3 - 250*c*d**2 - 682*c + d**3 - 11*d wrt d.\nAnswer: -17736930*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77\/21 + (-1)\/(-3) + 1595.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 5*r**2 - 3*r + 3. Let w(b) = 3*b**3 - 6*b**2 + 4*b - 4. Let u(h) = h**3 + 11*h**2 + 10*h - 76. Let m be u(-9). What is m*s(x) - 3*w(x)?\nAnswer: 3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6 + (-1)\/2. Let s = -34 - -36. Let n be c\/(s\/(-1 - -2)). Solve n = 3*q - 4*i + 19, -i + 3*i - 6 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 - 10 - 12*g**2 + 8*g**2 in the form k*g**2 + c*g + m and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = j - 16, 446972*j = -w + 446967*j for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*x + 2\/3*x**2 + 14\/3.\nAnswer: 2*(x + 1)*(x + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2685 + -2684.9. What is the nearest to i in -1\/11, -2\/9, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 o when three letters picked without replacement from gtggggggoott?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-468))\/(58639\/(-67016)).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 27*p + 140. Let h(l) = 81*l + 430. What is -3*h(n) + 8*q(n)?\nAnswer: -27*n - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.67 + 0.33. Let d = 35 - b. Let i = 2\/25 + -56\/75. What is the closest to 0.1 in 3\/7, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7. Let a(s) = -s. What is a(j) - y(j)?\nAnswer: -j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 712*s**5 - 561498*s**3 - 1160521*s**2 - 67?\nAnswer: 42720*s**2 - 3368988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -13.6. Suppose 14 + 0 = 2*a. Sort -5, a, k in descending order.\nAnswer: a, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1995245)\/(-4184) - 18\/(-16) is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112912\/21 - -5374. What is the common denominator of (-10)\/(-60)*220\/18 and q?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20547950.3 to the nearest 10000.\nAnswer: 20550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 73 = 2*c, 3*c + 2*y - 122 = y. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 658*a + 1315. Calculate o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.9. Let f = 39.909 - -0.091. Let i = 39.6 - f. Which is the nearest to 0.3? (a) o (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggiggigii. Give prob of sequence gig.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -864 and -3?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*r - 27, 3*q - 7*q = -2*r + 22. Suppose 2*t - 2*v = -2, -3*t - r = 2*t + 2*v. Let l be (1 - t)\/(-2)*-1. Sort -2, l, 4 in descending order.\nAnswer: 4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a95a (base 11) to base 5.\nAnswer: 10301134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(98)*1)**2 + 5 + (sqrt(2) + -4 + sqrt(32) - (-1 + -4 + sqrt(2))).\nAnswer: 4*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 less than 0.7453?\nAnswer: 0.4853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, r: 4, d: 1, a: 3, h: 1}. Give prob of picking 1 d, 2 u, and 1 a.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-440)\/(-1540)*((-2)\/(-4))\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291.74 - -287. Let s = 1.74 + t. Which is the nearest to 2\/7? (a) s (b) -2\/9 (c) 1\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 - 25 = -4*t, -t = -5*k - 6. Suppose -1148 = -t*s + 2*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482207761 to the nearest integer?\nAnswer: 21959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-45)\/(-3)))\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 - 342. Let x be -2*(z\/4)\/11. Solve -8 + x = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11704 to 3 dps.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**3*m**2 - 3*a**3*m*r - 10076*a**3*r - 10547*a**2*m**2*r + 2*a*m**2 - a*m + m**2*r wrt a.\nAnswer: -42*m**2 - 18*m*r - 60456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 1\/182?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -390*g + 5448. List the prime factors of t(5).\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(240 + 243 - 485 + 15*m).\nAnswer: 15*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 8:54 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1591.3.\nAnswer: 7956.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 8:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 184 + -10b591?\nAnswer: -10b409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 15049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 99089.27 weeks?\nAnswer: 59929190496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*m - 30*m + 1 + 58*m as x + o*m and give o.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 + 66\/495 + 64\/(-30) is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, -10, -40, -90, -166, -274, -420?\n\"Answer: -y**3 - y**2 - 6*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.3. Let h = 212.6 - 17.6. Let o = 195 - h. What is the closest to -1 in o, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 69 - 81 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-8 + 17)) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**5 + 21223*b**4 + 12*b**3 + 1395784*b.\nAnswer: -80*b**3 + 254676*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1559603067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -881\/1317 + 1\/439. What is the closest to -0.2 in -0.01, -2, i?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-1) + (-31)\/((-9765)\/3108)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74068881?\nAnswer: 3, 17, 269, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqahhga. Give prob of sequence aaq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/91)\/((-2)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 13*l + 3. List the prime factors of d(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 q when three letters picked without replacement from {l: 7, q: 4, y: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-24) - 22*6\/176. Which is the third smallest value? (a) u (b) -0.34 (c) 2\/13 (d) 0.6 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 + 2. Suppose -y - 22 = -4*k. Let t = k - 16. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a millennium in decades?\nAnswer: 2325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -47, -87, -153, -251?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 15*z**2 + 200*z. Let b(r) = -2*r**3 - 18*r**2 - 202*r. Give -5*b(u) - 6*m(u).\nAnswer: -2*u**3 - 190*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1454, -2751, -4048, -5345?\n\"Answer: -1297*g - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2641525 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.947 + 0.053. Which is the nearest to -0.1? (a) q (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*d - g + 11, -3*d = 5*g + 29. Let k be 1\/(d\/(-15) - 0). Suppose 3*p - 2*l = 42, l = k*p - 0*l - 77. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 4, c: 2, r: 11, x: 1, n: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890766 is divided by 890565.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79459 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**7\/525 + 113*x**6\/300 - 111*x**5\/50 + 331*x**4\/60 - 22*x**3\/3 + 3*x**2 + 3*x - 38. Factor s(c).\nAnswer: -2*(c - 110)*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28545413 is divided by 142.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**4 + 11*a**4 - a**3 - a**3 + 0 - 22*a**4 + a - 2 as r + c*a + s*a**4 + v*a**2 + m*a**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 29*t**2 + 27*t + 1306. Calculate m(-6).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1318672, 1318676, 1318680, 1318684, 1318688, 1318692?\nAnswer: 1318696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10520 and 1057970100.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -11*a**3 + 7*a**2\/2 + 4*a - 44. What is the second derivative of n(h) wrt h?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 4:54 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/3 (b) 11 (c) 0.5 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7225547cm?\nAnswer: 7225.547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(48)\/sqrt(4))*-5)**2 + sqrt(160)\/(sqrt(15)\/sqrt(3)).\nAnswer: 4*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1)\/((-18)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2994 + 2*n - 6001 + 2*n**3 - 7*n**2 + 3006. Suppose 0 = 5*t - 25. Is 12 a factor of j(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*q - 1013512454 - 1409839946. Suppose 15*g = -279115904 - q. What is g rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**38*a*a**5*a**(-10) assuming a is positive.\nAnswer: a**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 16) to base 15\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - q**2 + 3*q + 7. Let b be c(-2). Suppose -4*t + 95 = 3*j, b*t + 3*j - 114 = 7. Calculate the remainder when 99 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270.2 - 270. Which is the smallest value? (a) y (b) 3 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 21*a - 3\/8*a**4 + 1\/120*a**6 - 1\/2*a**3 + 0 + a**2 + 1\/10*a**5. Let r(o) be the first derivative of f(o). Determine r(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4383 is divided by 297.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*w - 2 + 10 - 178*w in the form f*w + l and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(180) + 1) - sqrt(180)))**2*3 + 4.\nAnswer: 3456*sqrt(5) + 77956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4924.8 and 8591?\nAnswer: 42308956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -12 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 548*g + 61. Is 14 a factor of m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 159*d + 320. Let r be u(-2). Solve 10*t + 16*t - r*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 821565 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o + 5*b - 15 = 18*o, 4*o - 30 = 5*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -8. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.1, -38.317, -0.2 in ascending order.\nAnswer: -38.317, -3.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h - 6. Let y(i) = 16 - 10 - 3*i - 4. Give -2*q(k) - 7*y(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 + 139\/2. Let z = v - -17\/3. Which is the second biggest value? (a) z (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l. Suppose x + 3*b + 35 = l, -3*x = 5*b - 2*b + 75. What is the units digit of (49\/2)\/((-10)\/x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 5:54 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 19*c**2 + c + 7. Let t(q) = 78*q**2 + 4*q + 28. Let a(k) = -t(k) + 4*u(k). Let z(o) = -2 + 2 + 11*o. Determine z(a(l)).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2683375 micrometers to kilometers.\nAnswer: 0.0000000002683375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6232.73 rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14570, 14568, 14566, 14564, 14562, 14560?\n\"Answer: -2*y + 14572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3120 and 1320?\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1)*(2 + 1 + -2). Suppose -t - 4 = a, -8*f + 3*t = -6*f - 44. Calculate the remainder when 93 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - -36.6. Let u = -46 + w. What is the smallest value in -3, u, -3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20774, -20772, -20770?\n\"Answer: 2*k - 20776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2 and 19\/205191368.\nAnswer: 205191368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590\/6 + 18\/27.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 39 + 23 + 16. Let u(w) = 5*w. What is c(u(g))?\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 54 + 26)*(8*c + 14 - 2*c - 10).\nAnswer: -462*c - 308","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12677782*n*q**3*y - 780548*q**3*y + 2*y wrt n?\nAnswer: 12677782*q**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 24389*r**5\/4 - 610566*r**4 + 33105559*r**3\/4 - 37047231*r**2 + 34733556*r + 80673840 = 0. Calculate r.\nAnswer: -1, 156\/29, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1545944, 6183596, 13913024, 24734234, 38647232, 55652024, 75748616?\nAnswer: 98937014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**3 - 166 + 4 + 49 + n**2 - n**2. Let z(r) = 55*r. Determine z(b(j)).\nAnswer: 165*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.94207914 and 5.7.\nAnswer: 2.75792086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 2 = -15*z. Factor 3*k**2 - 3\/2*k + 9\/2*k**3 + z.\nAnswer: 3*k*(k + 1)*(3*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5627 (base 9) to base 3.\nAnswer: 12200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-224)\/64)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16308 * -0.09.\nAnswer: 0.1046772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*2 + 0 + 2. Let i be 1 - b - 1*-4. Suppose 4*g = 5*q + 6 + 1, -i*q = -25. Calculate the greatest common factor of 80 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*m + 30663 - 30663 - 685*m + 1386*m + 408*m**2.\nAnswer: 408*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*m - 473*m + 217*m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889219409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 8*q - 4*o + 8, 4*q = -2*o + 10. Suppose -1149 = -8*u + 7*u - q*l, -2*u + 4*l = -2306. What are the prime factors of u?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1125, -4720, -10915, -19878, -31777, -46780, -65055, -86770?\nAnswer: -112093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 73*i**2 - 2*i - 38*i**2 - 37*i**2 + 9*i**3 + 4*i**4 in the form s*i**2 + c + q*i + l*i**4 + m*i**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1234*j**2 - 1326*j**2 - 862*j**2 + 1108*j**2 - 585*j**2. Let q(f) = f. Determine d(q(v)).\nAnswer: -2899*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 394687087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.2 + 4.2. Let c = k - -19. What is the nearest to 2\/7 in -0.3, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -922*l*m**2 + 43647*l - 10*m**2 wrt m?\nAnswer: -1844*l*m - 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 27*q - 5. Let g be j(1). Suppose 4*x = l + 6, 4*l - 2*x - x = 2. Calculate the greatest common factor of g and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.84 + -0.25. Let r = -8.91 + w. What is the closest to 0 in -0.1, -2\/3, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 30.255. Let z = u - -0.055. Which is the second smallest value? (a) z (b) 0 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (2 + -2 + 2)) + -55 + 46 + 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s + 3*o - 19, 0 = -5*s - 4*o + 44. Suppose -s = q + 3*d + d, 0 = 2*q - 2*d - 4. Put -4, q, -18 in descending order.\nAnswer: q, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1688, -3375, -5062, -6749, -8436?\n\"Answer: -1687*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + p = -290, 5*p + 42 + 110 = 3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.025, 1\/3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 6 - 14. Let g(v) = v + 1. Let q(d) = -2*d + 1. Let o(f) = y*g(f) + q(f). Let p be o(-4). Sort 5, -2, p.\nAnswer: p, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067868 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1082214.3 months?\nAnswer: 901.84525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + 8.15. Let y = -11 + k. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 - 5)*(-f + 0*f + 2*f) to the form k + t*f and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 32326*d**2 + 420072*d + 21. What is r(-13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4 + 0 + 1 - 13*h - 3. Let r(n) = -27*n - 12. Let b(f) = 6*r(f) - 10*y(f). What are the prime factors of b(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 20523502*f**2\/3 - 105303595156480*f\/3 + 210606944031008.\nAnswer: -(f - 10261748)**2*(f - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620 = -7*m + 522. Let u = -1.7 - 1.3. What is the third biggest value in m, -0.4, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 20 = x, -173*d + 50 = 2*x - 168*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 38 - 579*h - 586*h - 16*h**2 + 1167*h - 3*h**3 + 2*h**3. Give k(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3869 - 3869 - 911*a**2 - 1081*a**3 - 2910*a**2 wrt a.\nAnswer: -6486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 t when four letters picked without replacement from tuutuut.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + p + 19, 11688*r - 11689*r + 7 = -3*p for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25 + -29 + (-945 - -1). Let z be 5 + 5 + t\/(-6). Suppose -15*x + 11*x = -z. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*l + 12. Suppose -4*r + l = -41. Let z = 47 - r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*p + 52538*p**2 - 52504*p**2 + 285*p.\nAnswer: 34*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 1 - 20*z**4 + 9*z - 332*z**3 + 1 + 163*z**3 + 168*z**3 in the form b + o*z + y*z**2 + j*z**3 + d*z**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -66*u + 46 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 28 = -4*g, -3*g + 125 = f + 110 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -6*x**5\/7 - 198*x**4\/7 + 246*x**3\/7 + 1422*x**2\/7 - 240*x\/7 - 1224\/7 = 0.\nAnswer: -34, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlllqllqqllqqlqqlq. Give prob of sequence ql.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 138863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 11*c - 63)*(c + c - 5*c)*(-3 + 3 + 2).\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -13, 19, -5, -0.02?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 531965.5 millilitres in litres?\nAnswer: 531.9655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 1. Let k = c + -0.3. Let a = 11 - 9. What is the closest to -1 in -0.3, k, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*m + 945 = 0, 3*f + 8*m = 5*m + 942. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 485 and 0.2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*b + 410*b = -415*b + 1029 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30349984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 1 + (sqrt(5) - (sqrt(125) + -1)) + 3.\nAnswer: 5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 0)*(4*s - 4*s + 5*s**2)*(0*s**2 - s**2 + 3*s**2) - 4*s + 6*s**4 + 18*s**4 + s**3 - 23*s**4 as c*s + k*s**2 + u*s**4 + j*s**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302*b**2 + 1549*b**4 + 385*b**2 + 33*b**2 - 195*b**2 wrt b?\nAnswer: 37176*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4, 5, -4\/5, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 + 4*y + 5. Determine a(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 3. Let g be x(7). Suppose -31 = -4*z + g. Suppose 0 = -2*q + 4, 3*f - 3*q - 18 = 0. What is the highest common divisor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/3)\/4*9)\/((-3)\/(-11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 527614.983 minutes?\nAnswer: 52.34275625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. What is the derivative of 2*r - 3 - 6*r + 2*r**l + 4*r wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -23*v**7\/210 - v**4\/4 - 19*v**2. What is the second derivative of d(u) wrt u?\nAnswer: -276*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2757 and -3?\nAnswer: -8271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 16*i**2 + i + 21. Let b be o(-16). Let a be (-6)\/b*-1*(-75)\/(-6). Find the second derivative of 13*z**4 - z**4 - 2*z - 15*z**4 + a*z**4 wrt z.\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000101010011111110 (base 2) in base 14?\nAnswer: 653c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41749285 is divided by 20874631.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 2.2. Which is the biggest value? (a) -2 (b) 13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 3*l + 35. Is 2 a factor of 8\/l + 56\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**3 + 4*u**4 + 6*u**3 + (4*u**4 + 4*u**2 - 4*u**2)*(1 - 5 + 5) + (-4*u**3 + 6*u**3 + u**3)*(-13 + 4*u + 13).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -105311 times -0.4\nAnswer: 42124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1646, 0, 0.9, -2\/5, -4\/7 in increasing order.\nAnswer: -4\/7, -2\/5, -0.2, 0, 0.9, 1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6885*t + 269 + 20647*t - 6880*t - 6886*t + 270 - 539.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3*p - 8. Let f be k(-4). Suppose 2*i - i - 2*m = 1, -3*i = -5*m - 1. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*w - 4, 0 = -3*w + 6 + 3. Suppose 0 = 8*v - 7*v + 1. Which is the nearest to v? (a) 0 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122426578 at least as big as 122426577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = -0*x - x, 5*x = -h - 25. Suppose -3*t = -4*j - 18, 2*j + 2*j = -t - 10. Suppose -t*k + h*k = -20. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**1*j)\/j)*j)\/(j*j**(-1\/8))*(j**(-2\/5))**28)**(3\/14) assuming j is positive.\nAnswer: j**(-1209\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12188 (base 9) to base 2\nAnswer: 1111111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3489 = -s, 2*s - 5*s = -5*g - 4356. Let n be 2\/8 + g\/(-12). Let y = n - 28. What is the highest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 3) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 2*f + 1. Let o be q(-1). Solve 0 = -4*j + 2*c - 12, -o = -2*j - j + 4*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 14*q - 78 = 0. Let p be (q\/4)\/(24\/(-64)). Let l(v) = 2*v**2 + 6*v - 6. What is the remainder when 98 is divided by l(p)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -54.3. Let k = -4 + 2. Let o be 2\/(k\/3) - -2. Which is the biggest value? (a) o (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*t = 949*t - 486*t + 68556 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/60 + 2*b**2. Let t(h) = 4*h**2 - 2*h**2 - 2*h**2 - 3*h**2. What is t(r(y))?\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 - 7. Let h be i(0). Let u = h + 13. Calculate the common denominator of -3\/10 and 1\/u - (-10)\/(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*s**3 - 2*s**2 + 116*s**3 - 58*s**3 - 4 + 2 to k*s + v + r*s**2 + t*s**3 and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52355 to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*i + 49*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/(p*((p*p\/p**(-1\/4))\/p)\/p))**3 assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2 + 2*t + 1. Let d be c(-1). Let s be d + -1 + (-6)\/(-2). Let f = 64 - s. What is the highest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.175 + 2.475. Which is the third smallest value? (a) 4 (b) -4 (c) 1\/4 (d) 1\/3 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = 3. Suppose 12 = -0*z + p*z. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4940291?\nAnswer: 4940291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 0 + 448 + -389?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*1\/(-2)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54955339\/3 greater than 18318446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 5. Let p(q) = 804*q - 20. Give m(p(l)).\nAnswer: 2412*l - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/48604100 and -57\/2.\nAnswer: 48604100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + -615?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-25)\/d*d**(-9\/4)*d)**(24\/11) assuming d is positive.\nAnswer: d**(-654\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 173451 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17d57 (base 15) to base 14\nAnswer: 20225","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*a + 32, a - 3 = 2*b - 25. Suppose -5*j = n - 41 - 19, -n = -5*j - b. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*c - 651, 4*h + 2*c = -2*c + 656. Suppose h = 4*p - 181. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 + l**4\/3 + 5*l**3\/6 + 3*l**2\/2 - 2*l. Let m = -6 - -6. Suppose 5*u + 23 = 2*v, -24 = 4*u - 3*v - m*v. Give r(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3057 + 5123. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 550.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 827 + 431 = 4*q + 1750 for q.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -87, -115, 4 in descending order.\nAnswer: 4, 0, -2, -87, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(2) - sqrt(192)\/sqrt(6) - sqrt(2)) + sqrt(2)*-2 + -3))**2.\nAnswer: 900*sqrt(2) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*z + 227 = -105*z - 234 - 87 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - -10) - 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172328184.\nAnswer: 2, 3, 7, 17, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2390594.8 rounded to the nearest one thousand?\nAnswer: -2391000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/36*1*9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:50 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4303 and 27862256?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/(-25) - 234\/18.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8335819721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*y - 13 + 31*y + 14*y - 91*y - 18.\nAnswer: -94*y - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/18477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 7*t - 5. Let f be m(7). Let y be (1 - 0\/2) + -16. List the prime factors of 6\/y + (-57)\/f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002081 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -737 - -1224. What is j rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (-77 - (46 - 114))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27, -9, 1, 0, 111, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 667, 2636, 5913, 10498, 16391?\n\"Answer: 654*i**2 + 7*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.19 (b) -85577 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 32. Suppose 4*o - q*o + 3483 = -3*b, 3*o - 4*b = -5182. What is the units digit of (-7)\/(105\/o) + (-6)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-9) + 2\/(-6). Let l = 5056 - 4892. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3871*d + 7533*d - 597*d + 7461*d.\nAnswer: 18268*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l. Suppose 45 + 96 = 3*o. What is the remainder when o is divided by q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -198375*t**3 + 65550*t**2 + 5286*t + 96. Let y(g) = 396750*g**3 - 131100*g**2 - 10573*g - 192. Let p(s) = -13*j(s) - 6*y(s). Factor p(a).\nAnswer: 3*(5*a - 2)*(115*a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 6*n**3 + 2*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -69. Suppose 24 = 3*q - 2*q. Calculate the greatest common factor of b and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16*w - 12. Give g(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996 divided by -999?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707908451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -20. Let h = 16 + -11.8. Let a = -4 + h. Put a, n, -4 in increasing order.\nAnswer: -4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 1\/20*o**5 + 0*o**4 + o - 1\/10*o**6 + 0*o**3 + 0*o**2 + 0 - 2\/21*o**7. Factor w(v).\nAnswer: -v**3*(v + 1)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138780.01049 to zero decimal places.\nAnswer: 138780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*z + 105 = -5*d - 190*z, -105 = 5*d - z for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 273*r**3 + 157242*r**2 - 3456*r.\nAnswer: 3*r*(r + 576)*(91*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.139, 2\/13, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*v**4 + 30*v**4 - 1 + 3 + (3*v**2 - v**2 + 2*v**2)*(11*v - 2*v - 194*v)*(2*v + 3 - 3).\nAnswer: -1482*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -21 + 7. Suppose q*i - 70 = -5*i. Calculate the common denominator of 35\/3 and 16*2\/(-8)*(-6 + i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)*-6 - -1. Let d be 2\/5 + (-6 - 90\/(-25)). Let r be d\/(-5) + (344\/10)\/4. Solve -4*w + r = -o*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294159116 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 509344875 divided by -6?\nAnswer: -169781625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z. Give f(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/30287?\nAnswer: -2\/30287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - 2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**3\/3 - 3*k**2 + 3*k. Let n = -48378 + 48371. Determine o(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80830 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 11 = 5*g, 0*g + 3*g - 14 = -5*l. Factor -70*j**3 + 13*j - 4 - 45*j**2 - g*j**4 - 24*j**2 - 41*j - 22*j**4.\nAnswer: -(j + 1)**2*(5*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 1. Suppose 0 - 4 = n, 0 = 3*x - 5*n - 14. Determine f(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*g - 19*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3795273*m**4 - 3*m**3 - 16243384 with respect to m.\nAnswer: -15181092*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 8:12 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3590.030227 to one dp.\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96713*p**2 + 153054*p**2 + 144471*p**2.\nAnswer: 200812*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 76653.\nAnswer: 153306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14081 = 3*p - 4399, 11*p = 4*s + 67730. List the prime factors of p.\nAnswer: 2, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5887 divided by -7?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -19.24. Let y = -0.54 - k. Which is the closest to y? (a) -0.4 (b) 0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -164 + 160 - (-54)\/8 and 27\/(-126)*122\/6?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424 + 70*u - 442 - 422 + 136*u + 1285.\nAnswer: 206*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201877271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 - 4 - -34?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h**3*s**2 - 2*h**3*s - 3*h**2*j*s - h**2*s**4 - h*j + 8*h + j*s**2 wrt s?\nAnswer: 38*h**3 - 12*h**2*s**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 2*o - 5. Let l be s(-4). What is the third derivative of 12*m**3 - 6*m**l - m**3 + 15*m**3 + 14*m**2 wrt m?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*h - 130, -2*p = h - 19 - 24. What is the derivative of 9 + p*o**2 + 9 + 3 wrt o?\nAnswer: 46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 2. Let j(p) = 4*p + 5. Let d(o) = -7*g(o) + 2*j(o). What is d(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -5, 0, 35520.\nAnswer: -5, 0, 3, 18, 35520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 132409820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/9 - 26*m**2\/3 - 8*m\/9 + 5824\/3 = 0.\nAnswer: -13, 24, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-4) + (15 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917201421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -19, 12, -8 in ascending order.\nAnswer: -19, -8, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 o when three letters picked without replacement from {o: 3, j: 7, h: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38429496 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*v + 2. Let h(m) = 5*m - 33. Let r(f) = -f + 8. Let b(u) = v*h(u) - 9*r(u). Calculate b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p + 4*k, -3*p - k + 1 = -2*p. Let b = -0.005 - -4.005. Let u = -478\/7 + 68. Sort 1, p, u, b.\nAnswer: p, u, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1501906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68c4a0 - 2?\nAnswer: -68c4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**6\/30 - 13*q**5\/25 + 11*q**4\/10 + 646*q**3\/15 + 1179*q**2\/10 + 567*q\/5 + 6648. Suppose v(z) = 0. Calculate z.\nAnswer: -9, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w - 128. Suppose -4*p = 4*i - 0*i - 32, 4*p + 5*i = w. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 7*i - 6. Let g be h(-4). Let q(a) = -7 + 3*a**2 - 2*a**2 + g*a - a. Let c = -6 + 1. What is q(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*q - 24516 = 1074*q - 276*q + 572*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by (2112\/1320)\/(0 + (-1)\/(-30))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2013*s - 2015*s - 20 = -5*p, -5*s - 50 = -4*p for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -61 - 93. What is the remainder when v is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsmsmetmme. Give prob of sequence se.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*u**3 + 823*u**3 - 400*u**3 - 347*u**3.\nAnswer: -96*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5563.366mm to meters.\nAnswer: 5.563366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -250018 (base 11) to base 10\nAnswer: -395326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 20 = -5*s + q, s = -4*q - 17. Put 6, -5, s in decreasing order.\nAnswer: 6, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805, -1584, -2341, -3076, -3789, -4480, -5149?\nAnswer: -5796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {p: 1, o: 1, b: 7, e: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548156189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1246)\/(-182) - 2\/(-13). What is the highest common factor of y and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -3*sqrt(117)*2)\/((sqrt(9) - -2*sqrt(9))*5).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-24))\/(2 + (-3)\/2). Let j be (2 + k)*(2 + -2 - 0). Suppose s + 36 - 108 = j. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 47.4.\nAnswer: 45.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88805 + 190006. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 2*l**2 - l + 1. Let u(q) = 2*q**3 + q**2 + 2. Let k(z) = 3*p(z) - 4*u(z). Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.827, -0.2, 26\/549 in ascending order.\nAnswer: -0.2, 26\/549, 1.827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = z - 3*z. Let a = -49 + z. Solve -2*k = -5*q + q - 2, 0 = 2*q + 2*k + a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -12*l**2 - 315 - 11*l - 88*l - 36*l. Let h(g) = -3*g**2 - 34*g - 79. Let d(c) = -15*h(c) + 4*n(c). Suppose d(m) = 0. Calculate m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**3 - 4*l**2 + 4*l + 1. Suppose 2*s = 2*v - 4 - 8, -18 = 5*s + v. Let u(k) = k**3 - k**2 + k + 1. Determine s*u(t) + n(t).\nAnswer: 2*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.33, -1\/31, -2\/11, -0.05?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -577494 divided by 32083\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 5, y: 2, h: 5}. Give prob of sequence mii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*y**4 + 7 - 3*y**4 + 11*y**4 - y**2 - y**4 + y**2 - 452*y - 25*y**4 + 452*y + (-2*y + 3*y - 2*y)*(-3*y**3 - 2*y**3 + 4*y**3).\nAnswer: -32*y**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 0*t + 2*t)*(1 - 1 + 2*t**2 + (-t + t + t**2)*(-29 + 2 - 5)) in the form w + x*t**3 + z*t + o*t**2 and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2113707 + 3.\nAnswer: 2.7886293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v + 131. Let a be y(0). Suppose 4*s = -47 + a. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*t - 46*t = 64*t - 60. Let n(g) = g**3 + 8*g**2 - 10*g - 9. Let z be n(-9). What is the nearest to -0.09 in 2, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + 5*m)*(-4 - 2 + 4) - 1 + 1 - m + 4*m + m - 3*m + 0*m + 6*m - 4*m - 7.\nAnswer: -m - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 238 = 22*y. Let v be (328\/(-48) + y)*-4. Which is the third smallest value? (a) v (b) -16 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5726021.\nAnswer: 7, 29, 67, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 709983745 < 709983745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.073 - 5.073. Which is smaller: 1\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + -3 + (8 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.3 (b) 730 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 3*v + 1. Let j be q(-3). Let y be (2 - 0 - j)*-3. Let n be (6 - 1)\/(y\/(-6)). Calculate the highest common factor of 100 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.48 (b) 2\/3 (c) -1357 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 8*o**2 + 6*o - 3. Let v be l(-7). Suppose d + c - 7 = 0, -v*c - 10 = 6. What is the remainder when d is divided by 1\/(-1) + 3 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*a + 10, 2*d - 8 = -a - 0. What is the common denominator of 24\/(-45)*(-13)\/a and (-2)\/(9 + 1793\/(-187))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.199 (b) 12 (c) -1\/6 (d) 1.361 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 295546141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 + 5 = 0. Suppose -7*j = 7*j - 210. Calculate the highest common divisor of j and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 9 = -3*w, 4*w + 57 - 45 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 12563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-5))\/(6 - 11 - (8 + -12))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = 95*m - 58*m + 107*m. Suppose 15 = 6*u - u. Solve m = 2*n - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1288*r - 36188. Give g(-28).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-8\/7)*y**(-1\/11) assuming y is positive.\nAnswer: y**(-18\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 27 = -10*h + 5*n, -24 = 4*n. Which is the nearest to 3.1? (a) 0.5 (b) 5 (c) h (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 15. Let t(f) = -f**2 - 4*f - 1. Let p be t(-3). Let u(y) = y**3 - 4*y + 2. Let q be u(2). Solve 4*v = -z, j + 3 - q = p*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -323?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 58*d - 821. Let r be a(-30). Solve -4*n = 3*c - r, 2*n + 7*c + 9 = 6*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usm when three letters picked without replacement from {m: 3, s: 4, u: 1, l: 6}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (7 - (-2 - -14) - (-12 + 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = -4*p - 6, q + 4*p = 44. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q\/(q*q**(-2\/19))*q*q**(-5)*q**(-10\/7)\/(q**(-10)\/q) assuming q is positive.\nAnswer: q**(1021\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (-39 - -6 - -9 - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1684494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-3)\/(-18))\/(1\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -12\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 - 10.24. Let k = -12221.5699985 - -12211.57. Let b = k - n. What is b rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13\/17, -0.4, 1, -155, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*u + 2*n, u - 2*u = 2*n - 6. Which is the biggest value? (a) 5 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**2. Let h(o) = 1045*o - 16. Let z(y) = 354*y - 6. Let v(k) = 3*h(k) - 8*z(k). What is i(v(g))?\nAnswer: -642663*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -6, v + 4*y + 2 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(539)*1 - (sqrt(539) + 1 + 1*sqrt(539)))**2.\nAnswer: -56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 26*x**2 + 25*x + 5. Let h be s(-25). Solve 0 = 31*n - 30*n - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -36*j - 104. What are the prime factors of g(-22)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707426.5 millilitres in litres?\nAnswer: 707.4265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t + 353. Let l be b(39). What is the smallest value in -546, l, 1\/2?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 101*v**2 - 65*v - 82. What are the prime factors of x(-50)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - (-3 - (-13 + 20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -10, -2*h + 4*h + 5*g + 14 + 26 = -2*h + h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h + 0*h)*(-514 - 1549 - 1349).\nAnswer: -6824*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004578 rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1584003 rounded to four decimal places?\nAnswer: -0.1584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3\/10 (c) 1\/10 (d) -99 (e) -1593\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -46.5. Let q = r + 26. Let z = q - -18.9999914. What is z rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:13 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 2. Let o = 1263.084 - 1252. Let a = n - o. What is a rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*r + 4, -2*r + r = n - 2. Let w be -3*(n - 8\/6). What is the remainder when 19 - (w - -1)*1 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/19 - (-68)\/76)*4. Let y(t) be the second derivative of -5\/3*t**m + 0 + 4*t**2 - 2*t**3 - 8*t. Let y(z) = 0. What is z?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeqoqeoeqqoqooq. What is prob of picking 3 e and 1 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/39)*h**(-2\/87))\/(((h**(-20)\/h)\/h)\/h*h**18))**(2\/57) assuming h is positive.\nAnswer: h**(13462\/64467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5169498, 5169505, 5169538, 5169609, 5169730, 5169913, 5170170?\n\"Answer: 2*m**3 + m**2 - 10*m + 5169505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3 - 196601*p**2 + 9657382735*p + 551109757737 = 0.\nAnswer: -57, 98329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 387 + -392. Put -3, 16, d in descending order.\nAnswer: 16, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 5)\/(-1) + (-112)\/8 - 188\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 971. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Let m be ((-34)\/(-3))\/(2\/d). Suppose 2*j = m + 3. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1653666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from ejmxxxb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 3*x + 1. Let f(g) = 5*g + 2. Let h(v) = -9*v - 5. Let b(s) = 7*f(s) + 4*h(s). Let i = 5 + -10. Let l be b(i). Calculate u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53277 + -31636?\nAnswer: 21441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + g)*(2*g**3 + 3 - 3) + 25*g - 33*g**4 - 9*g - 15*g to u + k*g**2 + z*g + c*g**3 + s*g**4 and give s.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1986\/1655*10\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.13 + -0.73. Which is the closest to -1? (a) -0.4 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 8 - 2) + -4 + -11 + 82 + -26?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 472637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*b - 9, b - 17 = -4*k - 4*b. Let a be k\/3*(-42)\/(-8). Let n = -9 + a. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 580 and 116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from noooonnononoo?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -23. Let b = -6 - w. Let d(z) = -9*z - 11. Is 10 a factor of d(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2008 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1000000000010 (base 2) to base 8\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {d: 2, x: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -15, -7\/3, -2, 0.207?\nAnswer: 0.207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 864\/(-3060) - (-14)\/35.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49\/18 + -11\/9. Let b = -427 - 335. Let u = 757 + b. Sort s, 5, -0.7, u in ascending order.\nAnswer: u, -0.7, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25882, -5, -2\/5 in descending order.\nAnswer: -2\/5, -3, -5, -25882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1830, 1880, 1966, 2088, 2246, 2440?\n\"Answer: 18*w**2 - 4*w + 1816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 10 = m. Let i be (-21)\/m + (-11)\/55. Suppose 10*p - 18 = i*p. Calculate the highest common factor of p and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.7053?\nAnswer: 0.21159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(0 + -3 + (-35)\/(-21)). Let m be -1 + v\/((-32)\/116). Solve 9*h - m - 17 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1179886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - -0.08. Let f = -3.94 + r. Let i = f + 3. Which is greater: 2\/3 or i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*c**3 - 3*c**2 + 76692*c + 17994632.\nAnswer: -33*c**2 - 6*c + 76692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:19 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197600 divided by -3800.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*y - u, -2*u + 0*u - 12 = 2*y. Let m = 10 + -9. Let l = 9 - 9.3. Put y, l, m in descending order.\nAnswer: m, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150.244 times 53.3\nAnswer: -8008.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m. Let j(d) be the first derivative of 7*d**2\/2 + 3. Let b(f) = 6*j(f) + 5*n(f). Let a(r) = -9*r. Calculate a(b(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5))**(-1\/3))**(-3\/5) assuming h is positive.\nAnswer: h**(2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2981579 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 37, 43, 37?\n\"Answer: -6*y**2 + 36*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000041263 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 20 - (58 - 24).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17369*x**3 - 19407*x**2 + 2522*x**3 + 19407*x**2.\nAnswer: -14847*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.18, 0, 160, -4, 4, 0.8 in descending order.\nAnswer: 160, 4, 0.8, 0.18, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 4. Let y(w) = w. Let g(n) = m(n) + 5*y(n). Suppose 4*b = 7*b - 18. Let d = 0 + b. What is g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:27 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 3:32 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1213\/3 in -5, -1, -1\/6, 96, 68, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, b: 5, g: 1, l: 5}. Give prob of sequence eg.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 33*h**2. Let n(u) = -7*u**2 - 2*u - 2. Let m(t) = -29*t**2 - 9*t - 9. Let i(w) = 2*m(w) - 9*n(w). Determine i(f(y)).\nAnswer: 5445*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1306*h + 1923. What is the units digit of w(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*l + 1, -1113 = -5*x + l. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*z - 4*s, -3*z + 2*s + 16 = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6)\/(-18 + 25) + 10800\/2100.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/17? (a) 3\/2 (b) -1\/2 (c) -3\/5 (d) -118.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/17)\/o)\/o*o*o**(-5\/3)*o**2*o**(-2\/31)*o*o assuming o is positive.\nAnswer: o**(2192\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3740 divided by 110.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/2))**29*(v**(2\/3))**36 assuming v is positive.\nAnswer: v**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1112.77 + 153.31. Let x = 1226.5 + z. Let q = 272 - x. What is q rounded to 1 decimal place?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2967, -2322, -1533, -600?\n\"Answer: 72*h**2 + 429*h - 3468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:31 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 14 = 0. Solve 4*f = -h - 10, 4*f + 5 = -2*h - g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1056752 and -0.69?\nAnswer: 1056751.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/7)*f)\/(f**(-1\/3)\/f))**(-5\/9)\/((f\/(f**1*f)*f)**9\/((f*f**(-6))\/(f*f\/(f*f*(f*f\/(f**(1\/4)\/f*f)*f)\/f)))) assuming f is positive.\nAnswer: f**(-3677\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3210 = 2*s + a, 4*s = 5*a - 6430. What is s rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(-4 + (sqrt(2) - sqrt(2)*-1))*-1 + 4*1*sqrt(2)*-4*1*-1)**2.\nAnswer: 72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 9. Let u be s(4). Find the third derivative of -u*h**5 + 3*h**2 + 3*h**5 + 3*h**2 + 12*h**5 wrt h.\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -120*o**3 - 16*o**2 - 16*o - 1. Let y(b) = 24*b**3 + 3*b**2 + 3*b. Let v(p) = -2*r(p) - 11*y(p). What is the units digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n - 5*l, 3*l - l - 2 = -2*n. Suppose -n = -3*b + b. Let q be (-9)\/(-1) + (3 - 1). What is the highest common factor of b and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = w - 8, 0*w - 2 = w. Suppose x*j - 14 = -3*j - 3*p, 4*j - 3*p - 22 = 0. Solve 11 = j*c - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from pydezndzy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -316 + 450. Let n = g - 46. Which is smaller: 90 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + r**2 + 3*r + 2. Let b be q(-2). Let f = b + -4. Suppose p = -f*p. Solve p = 5*z + 13 + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + 24?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-310)\/(-6))\/((-4)\/(-84)). Let y = w + -1745. What is y rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10732 + 10740. Let m = -1473 - -2883\/2. Let j = m + 32. Does b = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*z**4 - 5432*z**3 - 4388*z**2 + 2*z + 105?\nAnswer: -432*z - 32592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 14*v**2 + 13*v + 9. Is l(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 15*h**2 + h + 2. Suppose -5*p - 59 = -374. Let g = p - 61. What is the lowest common multiple of j(-1) and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1056)\/(-1210))\/((8\/(-70))\/(146\/511))\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*b**2 - 25*b**4 - 25 + 185\/2*b + 85*b**3 + 5\/2*b**5.\nAnswer: 5*(b - 5)*(b - 2)*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 237?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*j**2 - 51709*j**4 - 311*j**3 - 2 + 47*j**2 + 51707*j**4 in the form l*j**4 + c*j**3 + k*j + v + n*j**2 and give c.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 3)\/(4 + -1). Suppose -4*a - 6 + 14 = g. Solve -4*v + a*k = 2 - 4, -5*k = 4*v + 33 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d + 530. Let y be n(10). Calculate the greatest common divisor of 945 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-11 + -3) - 23) + -9 + 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348.1303 centimeters to kilometers.\nAnswer: 0.003481303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -796 divided by 4?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*v + 110. Suppose -51*x = -46*x - v. Suppose f = x*f - 260. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*j + 43 - 12, 0 = h - 4*j - 19. Suppose k + h = 4*k. Let t(i) = 6*i**3 + 2*i - 1. Let c be t(k). What is the highest common divisor of 35 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*c + 6, -2*j - 2 = -c - 1. Let g(p) be the first derivative of -2*p**2 + p - 1. Calculate g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193988 divided by -48497.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-7)\/7*2)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 15. What is the lowest common multiple of z(0) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304386.8625 rounded to the nearest 1000?\nAnswer: -304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10913 divided by -4456?\nAnswer: 10913\/4456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 = -3*j, -w = -0*w - j - 3. Suppose -2*y + 110 = 3*x - 529, -w*x + 1570 = 5*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1030754*z + 4. Let g be b(1). Suppose 10*p + g - 5130758 = 0. What is p rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2. Suppose -5*i - 5*t + 30 = 0, 0*i + 4*i = t + 14. Let r be 11\/4 - (-1)\/4. Let b(n) = r*n - i*n - n. What is b(c(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -727, -1715, -2691, -3649, -4583, -5487, -6355, -7181?\nAnswer: -7959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 6) in base 9?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58 and 25?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123102 (base 6) to base 10.\nAnswer: -57710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(-50*23\/(-8970))*-2\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/((51\/(-238)*7)\/((-615)\/10)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.05533 to one dp.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -5*r**3\/2 - 2*r - 2. Let j(p) be the first derivative of t(p). What is the units digit of j(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 982*c\/3 + 2944\/9.\nAnswer: 2*(c - 1472)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*o + 2*r, o + 0*o - r = 4. Is -2\/11 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 19\/4)\/(126\/840)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 - 4*i - 2. Let q(l) = l**3 + 8*l**2 - 9*l - 2. Let k be (0 + 3)\/3*-9. Let x be q(k). Let m be b(x). Put -4, m, -3 in increasing order.\nAnswer: m, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 99.43638 years?\nAnswer: 0.09943638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 p when three letters picked without replacement from {o: 7, y: 3, v: 4, j: 1, p: 1, s: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 7, g: 12}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 7\/5, -304, 0.3, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/20 + 3*j**4\/4 - j**3 - j**2\/2 - j. Let c = 24 + -19. Is l(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a century in months?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-158)\/(-8) - 1\/(-4). Suppose -49 = -17*p + 10*p. Solve -p*k + 2*k + y = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 9408?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3112 (base 16) to base 3\nAnswer: 122020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 198\/17 at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1, 9, -1071 in increasing order.\nAnswer: -1071, -4, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357140 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**4 - 1395*y**3 + y**2 - 45*y - 11594827.\nAnswer: 4*y**3 - 4185*y**2 + 2*y - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 - 6\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25559 (base 10) to base 3\nAnswer: 1022001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:11 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1539)*-3 + -3)**2 - -2*((sqrt(1539)*1)**2 + -5)) + 2)*5.\nAnswer: 810*sqrt(19) + 84650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*(sqrt(170)*-2 + sqrt(170)) - sqrt(170)))\/(sqrt(10) + sqrt(1000)*1 - (3*(sqrt(10) + (-1*sqrt(10) - sqrt(10))) - sqrt(10))).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (596 - 596 + 20*j)*(0*j + 0*j + j**2).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 12*v - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -208*c - 1246. Let i be y(-6). Solve 2*p = -5*j + 7, -16 = -p + i*j - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 25*i + 177. Let a be j(-6). Calculate the highest common factor of a and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + (-39 - (-45 - -32)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + -16 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -537*v**2 + 8 - 33 + 13 + 10 to the form p + n*v + q*v**2 and give q.\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 27*y = 18*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16\/3, -1\/3, 481?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 391852*q - 3526655. Determine u(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18272688 is divided by 6519.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - z + 2 + (3*z + 3*z + 0*z)*(5 - 2 - 2) to the form k + v*z and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h + 2. Let i(o) = -34*o + 10. Let t = -1284 - -1287. Determine t*i(j) - 14*w(j).\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1066733, -1066735, -1066739, -1066745, -1066753?\n\"Answer: -p**2 + p - 1066733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**7\/42 + 5*a**4\/3 - 4*a. Find the third derivative of r(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let c(u) be the third derivative of u**5\/60 - 5*u**4\/24 + u**3\/2 - 3*u**2 - 564*u. Determine c(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*f - 0*a + 5, -5*a = 5. Let b(n) = -3*n**3 - 6*n**2 - 3*n - 2. Suppose -6*r - 8 = 4. Let o be b(r). Solve f = -5*z + o - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:36 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26*((-820)\/(-8) + -2). Suppose -4*r - 2*x - 6601 = -1379, -3*x = 2*r + u. Calculate the remainder when (-4)\/(-10)*r\/(-9) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 220, -1, -12 in descending order.\nAnswer: 220, 4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 4, k: 8, o: 5}. What is prob of sequence ks?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 2*l**3 + 3*l**2 - 8*l + 4.\nAnswer: -(l - 2)*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3212, 6420, 9628, 12836, 16044, 19252?\nAnswer: 22460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 7259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0, 13, -26, -5 in decreasing order.\nAnswer: 13, 4, 0, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llvl when four letters picked without replacement from vblvbvlllvlll.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 2*q - 2. Suppose 0 = m + 2. Let y be w(m). Suppose -5*o + 0 + y = 0, -c = 4*o - 13. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 7) in base 13?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75283 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6240019225 to 5 dps.\nAnswer: -2.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (48 - 55) + 58560\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, -135, -3 in increasing order.\nAnswer: -135, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.08, -5, 3\/7, 5\/2, 0.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/12 - 670*n**2. Let y(t) = t**2 - 27*t. Determine k(y(v)).\nAnswer: -2*v**2 + 54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - 152.56. Round r to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132 - 57) + -34 - (0 - -13).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.159663\nAnswer: 0.159663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylplpllp. What is prob of sequence ply?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 4*g - 1. Calculate s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/120 + 7*t**5\/60 + 7*t**4\/24 + 3*t**3\/2 - 4*t**2. Let v be ((-5)\/2)\/(5\/(-4))*4. Let r be n(v). Sort 3, -4, r.\nAnswer: -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -379 + 378. What is the second biggest value in -157, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/588833 and -13\/16823800.\nAnswer: 117766600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/7 + (-3268)\/(-602). Solve 10 + n = o - 2*g, -3*g - 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1697 + -5620. Let w = p - -39169\/10. What is the common denominator of -95\/8 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760 divided by -440?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 9. Suppose x - 4 + 1 = g, 15 = 5*x - y*g. Suppose -x*w + 17 = -1. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = 12. Suppose -20 = -2*r + 4*y, 3*r - 2*y = -2*r + 10. Calculate the lowest common multiple of 8 + 2 + r\/(-2) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/5 - 6*b**4\/5 + 6*b**3\/5 + 14*b**2\/5 - 12*b\/5 = 0. What is b?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**7*p)\/p**(-1\/9))\/(((p\/(p*p*p**(-1)*p))\/p)\/p)**(-50)*(p**(2\/19)*(p\/(p**3\/p*p))\/p)**(23\/4) assuming p is positive.\nAnswer: p**(-107069\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 3*b + 2*b)*(-21*b + 16*b + 1 + 0) in the form j*b**2 + u + t*b and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6 and 29\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 14}. What is prob of picking 3 d?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Let y = 17 - s. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 46 = -2*o, 7*c = 2*c - 2*o + 70. Let i(s) = -4*s**2 + 26*s - 14. Let j be i(c). Let l = 826\/3 + j. Find the common denominator of l and 29\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-839)\/364 + 14\/49 and -51\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 627 and 107.\nAnswer: 67089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90360 and 2320244?\nAnswer: 208821960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*i - 62 = -80, 5*i = -16 - 29 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 381*n**2 - 9477*n + 46152. Let j(u) = -190*u**2 + 4740*u - 23075. Let w(x) = -5*c(x) - 9*j(x). Factor w(q).\nAnswer: -5*(q - 9)**2*(q + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/4 - -2. Let n(q) = q**d - 2*q**2 - 4 - q + 5 + 2*q. Calculate n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12306 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (182\/10)\/(-7). What is the third smallest value in 0.1, 0.4, 4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 856*o - 8049. Determine h(-10).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544790?\nAnswer: 2, 5, 157, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -1*sqrt(180)\/sqrt(9) - -4*(sqrt(20) + sqrt(20)*-4))\/(sqrt(30)\/sqrt(12) + 1*sqrt(50)\/sqrt(5)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 29864.7 to the nearest one hundred.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4088657\/133 + 30742. What is the common denominator of p and 74\/399?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -103.7. Let i = 5.5 + n. Which is the nearest to -1? (a) i (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + m - 4*m + 490 = 481, -2*w - 74 = -19*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186, 2309, 6468, 12291, 19778, 28929?\n\"Answer: 832*d**2 - d - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 12*q**2 - 10*q - 9. Let m be t(11). Suppose 104 = m*u + 3*z, 3*z + 28 = -u + 86. What is the remainder when 178 is divided by u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25143054 (base 6) in base 15?\nAnswer: 10e0b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 711, 3007, 6833, 12189?\nAnswer: 19075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -852489, -852011, -850709, -848169, -843977, -837719?\n\"Answer: 69*m**3 - 2*m**2 + m - 852557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 222*r**2 - 10293*r + 117. What is j(-66)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f - 10. Suppose 6 = a + 8. Let g(h) = 4*h + 3. Give a*y(q) - 7*g(q).\nAnswer: -6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.963 - -15. Let a = k + -31.037. Let m = a + 31.000085. Round m to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4 - ((5 - 6) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23389, -23487, -23649, -23875, -24165?\n\"Answer: -32*r**2 - 2*r - 23355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:57 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -132, -224, -350, -522, -752, -1052?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 248 = -4*i. What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 3)*(-3 + 5 - 3)*(3*f + 0*f - 2*f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -3\/4, 3, -1\/4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3429*q = -1036*q - 45467 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -4. Let l = q + -6. Which is the third smallest value? (a) 1\/4 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0343 and -7?\nAnswer: -0.2401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*x - 17, 3 = -4*x - m - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 40. Solve h + j*h - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 1014*f**2 + 42868*f - 1545. Determine z(376).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 52*y**4 - 4168*y**3 + 83840*y**2 - 12800*y = 0?\nAnswer: 0, 2\/13, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00366243 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 780\/11 - 2228\/55. Let b = 30 - d. Let v = 0.4 - 0.48. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p = -2*c - 100*p + 12, -14*p = -2*c + 12 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 387 + 16*s**2 + 391 + 3*s**3 - 778 + 2*s in the form x*s**3 + q + y*s**2 + m*s and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4 - 4) + 2 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - s - 6. Let u(l) = l. Let y(b) = -3*b**2 - 7. Let h(x) = 2*u(x) - y(x). Let k(i) = -3*h(i) - 4*w(i). Give k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 - 6\/(-4). Let d(n) = 25*n**2 - 14*n**2 - 12*n**z. Let h(k) = -7*k + 3*k - 7*k. Determine h(d(s)).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:33 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 91*p = -3*r + 48*p + 149, -5*p + 25 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 + 16*t**4 - 48*t**3 + 68*t**2 - 46*t + 12 = 0. What is t?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) + (sqrt(153)\/(sqrt(27)\/sqrt(3)))**2 + 4 + (sqrt(17) - sqrt(51)\/sqrt(3)))*-2*-4 + -3.\nAnswer: 8*sqrt(17) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 + 4*n + 4. What is the remainder when 32 is divided by s(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 400, 523, 594, 595, 508?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 + 2485*x\/3 + 6175225\/6.\nAnswer: (x + 2485)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*o = 18, -3*v + o - 1 + 18 = 0. Let u(w) = 2*w**2 - 5*w - 2. What are the prime factors of u(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -22. Suppose 0 = x + 8 - 3, -5*y + v*x + 330 = 0. Is 3*7\/(y\/66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 273*w**2 - 2 - 3*w - 274*w**2 - 272*w**2 + 1088*w**2 - 274*w**2. Let a be 1*18\/3 + 0. What is c(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 42*l - 278546. What is k(-507)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4934 + -0.3994. Which is the fourth smallest value? (a) -2\/3 (b) -1\/7 (c) -3 (d) 1 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1458 - -2831\/123930. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 + 15*p**2 - 13*p + 1. What is q(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 7*f**4\/6 + f**3\/3 + 3*f**2\/2 + 2*f. Let x be a(-2). Suppose -5*p - 5*g = 10 - x, -5 = -5*g. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 - 283. Let s = -211 - r. Suppose -s*n = -181*n. Solve 0 = b - n*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-5))\/((-1)\/5). Let v be 2\/((-1)\/((-26)\/4)). Suppose -3*z + v = y, -3*z = -2*z - 5*y + 1. Solve -g*t + z*t - 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:47 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297885 (base 14) to base 10.\nAnswer: 1442285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**4 - 6*a**3 + 6*a**2 - 6*a - 5. Let h(g) = 6*g**4 - 5*g**3 + 5*g**2 - 5*g - 6. Let x(n) = -6*h(n) + 5*i(n). What is the derivative of x(c) wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 14)\/8 - -1. Is -2\/57 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**3 + 6*o**3 + 0*o**3)*(2*o - 3 - 4*o + 4) as t*o**2 + s*o**4 + b + a*o**3 + i*o and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/12 - p**4\/4 - 3*p**3\/10 - 103*p**2. Determine f, given that v(f) = 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/2 - (73 + -44). Let g = j + 24. Let v be (-2)\/6 + (-16)\/(-30). What is the closest to g in v, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idaayttjj. Give prob of picking 1 t and 2 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 0*k**2 + 1\/5*k**5 + 0*k**4 + 0 - 2\/3*k**3 + 12*k. Find x, given that i(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 2*d**2 - 2. Let q(s) = -s**2 + 5*s**2 + 2 + s**2 - 6*s**2 - 4*s. Let r be q(-4). Calculate f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 41*s + 74. Let u(b) = 430*b. Give x(u(p)).\nAnswer: 17630*p + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663973268 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*r - 183, -5*v - 5*r + 267 = -588. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46513, -46512, -46503, -46480, -46437, -46368, -46267, -46128?\n\"Answer: l**3 - 2*l**2 - 46512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21.4772 and 1637960191?\nAnswer: 1637960212.4772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2 - -3) + 4. Solve 6*v + 16 = -f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3 - -3)*-18*1\/(-234)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 14247 + 24813. Is y a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14936*w**4 - 14668*w**4 + 30509*w**4 + 2)*(-2 + 6 - w + 2*w).\nAnswer: 905*w**5 + 3620*w**4 + 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -271 (base 15) to base 8.\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 0, 4*h + 193 = -3*x - 382. What is the remainder when 40 is divided by 2\/4 - x\/14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4 = -5, -u = -3*n - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59722908*p**3 - 6597051?\nAnswer: -179168724*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 4:29 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 4. Suppose -3*x - 9 = 3*b, s*b - 5*x = -x - 23. Put 0.1, -2, b in descending order.\nAnswer: 0.1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 8*u - 34. Calculate g(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1120886672 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3392 divided by -424.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180)\/(sqrt(9) + -5*sqrt(9)))\/(-5*(sqrt(360) - -3*sqrt(360)))*-1.\nAnswer: sqrt(2)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33440 and 931?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(4*z - 3*z - 2*z) - 964*z + 942*z - 4214 + 4070.\nAnswer: -25*z - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (7 + -5)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -196*n**2 + 7*n - 780. Let c(p) = -66*p**2 + 2*p - 259. Let t(h) = -7*c(h) + 2*l(h). What is the first derivative of t(d) wrt d?\nAnswer: 140*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*g - 20*g - 42*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 8*u + 40. Suppose -19*l - u = -23*l. Solve -l + 7 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -34*k + 276. Let y be n(8). Let x(h) = -54*h + 247. Calculate the remainder when 122 is divided by x(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(6 + 1276\/(-213)). Let l = 94 + y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 9520 = 4*s - 0*s + 9568, -3*s + 4 = z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79353.085 rounded to the nearest ten?\nAnswer: 79350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-16) + (-1784434)\/(-1494544).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*j - 6. Suppose 5*f + 216 = 4*z, 3*z - 246 = j*f - 29. Let i = f + 50. Let s(h) = h**2 - 8*h + 8. What is s(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85712, -24, -41.\nAnswer: -85712, -41, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -646 + 382*k**3 - 22 + 742877*k**2 - 742877*k**2 wrt k?\nAnswer: 1146*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2 - 60*f - 1 - 4 + 5. What is the tens digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128.244 - -0.244. Let v = u + 128.000348. What is v rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31300 (base 4) to base 2\nAnswer: 1101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-6*d + 12*d**4 + 6*d).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.602 to the nearest integer.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/13))\/(j**(1\/11)\/j)*j**(3\/10)*j**(-4)*j assuming j is positive.\nAnswer: j**(-911\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (56\/12)\/(4\/6). Find the second derivative of -3*o**2 + 0*o - 2*o - g*o + 0*o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -13*g + 4. Let b(o) be the third derivative of 0 - 5\/6*o**3 + 0*o + 0*o**4 + 5*o**g + 7\/60*o**5. Find the first derivative of b(q) wrt q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpbb when four letters picked without replacement from {b: 13, p: 6}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -141\/1358?\nAnswer: -141\/1358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1339*n**2 + 65*n**2 + 1027*n**2 + 900*n**2)*((-1 + 3 + 2)*(1 + 4 - 3) + (4 - 2 - 1)*(1 - 2 + 3)) to i*n + j + d*n**2 and give d.\nAnswer: 33310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**8\/2016 + c**7\/1260 - c**6\/720 - c**5\/360 - c**2\/2 - 3. Let t(s) be the second derivative of o(s). Factor t(m).\nAnswer: m**2*(m - 1)*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 19 = 4*s, -z = 4*s + 3*z - 4. Which is smaller: 5 or s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrdrrdrrnd. Give prob of sequence dr.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 4*(sqrt(1539)*1 - (sqrt(2299) + -2))*-5)**2.\nAnswer: -3280*sqrt(19) + 32081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 14*z**2 + 12*z + 17. Let q be w(13). Suppose n - 28 + 187 = 5*k, q*n = 4. Calculate the remainder when 124 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let g be c(-4). Suppose 2*p = 4*p - g. Suppose -5*t - 20 = -4*k, -k - p*k = t - 34. What is the smallest common multiple of 4 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 603*a**2 + 17*a + a**4 + 21*a**3 - 65*a - 4*a**4 - 627*a**2.\nAnswer: -3*a*(a - 4)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1552, -3\/4, -0.28 in decreasing order.\nAnswer: 1552, -0.28, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d**2. Let o(u) = 42*u. Give o(h(n)).\nAnswer: -294*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24 - 0.14. Suppose 0*c - 426 = -6*c. Let a = c - 211\/3. What is the fourth smallest value in 1\/3, p, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 1, g: 2, k: 1, n: 1, a: 1}. Give prob of sequence ogk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4 and -13\/12562.\nAnswer: 25124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*f + 2. Let l(y) = -2*y + 6. Let q be l(f). What are the prime factors of 13 + 2 - q\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + z + 2. Let r be a(0). Suppose i = -2*v - 4 - 1, r*i - 15 = v. Sort -4, i, 6 in descending order.\nAnswer: 6, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 = 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1029, 2333, 4507, 7551, 11465, 16249, 21903?\n\"Answer: 435*r**2 - r + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 divided by 5.\nAnswer: 149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:56 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75713?\nAnswer: 11, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475151773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + (sqrt(108) - (-2 + sqrt(108) + 2)**2))) + (sqrt(108) + (sqrt(108) - 2*sqrt(108)))**2 + 1 + -4 + -3*sqrt(108) + -2)*-5.\nAnswer: -515 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2) + (5 - -68). Suppose -2 = s*p - 76*p. Solve -n + 0 = 2*t + 3, -p*t + 3 = -5*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336.937 kilograms in grams?\nAnswer: 1336937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2. Let k be q(-3). Let n be (k\/6)\/(6\/(-5)). Which is the closest to -0.1? (a) n (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjiigvjvghjjigj. What is prob of picking 2 v, 1 g, and 1 i?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4414715*b**2 + 8829346*b**2 - 4414626*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1474)\/8)\/(-5 + (-133)\/(-28)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -2. Suppose 125*n = 128*n - 558. Let i(k) = -n - k - 183 + 369. Give i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 23843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 67, 61, 55, 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2044 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21112212 (base 3) to base 14\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 22. Find the first derivative of 1 + 53*f**3 - 15 - 49*f**y wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-115)*(-10)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2841, -3471, -4513, -5961, -7809, -10051, -12681?\n\"Answer: a**3 - 212*a**2 - a - 2629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16*z**3 - 1. Let k be x(1). Let d(u) = 5*u**2 - 3*u + 19. Is d(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22339721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((2 - 1) + 4). Solve -5*k + 2*r + 13 = 0, 0 = x*k - 3*k + 4*r - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-12)\/30*5. Are v and -1\/670 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -307*h. Let b be 2\/(-4 - (-4 - -2)). Is x(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 7, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 + 43\/(-3). Let p = i + 47. Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 * 1.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1660 divided by -20.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.02 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 16 in decreasing order.\nAnswer: 16, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 17*c + 49 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(351\/57 - 6). Suppose -2*j + 6*j + 48 = -2*r, j = 4*r - 3. Let w = j + d. What is the smallest common multiple of 9 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j. Let d be p(1). Which is the biggest value? (a) d (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -0.3 (c) 0 (d) -1\/63 (e) -1\/7 (f) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from kjnngkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.9. Let k = 24 + -20. Which is the third biggest value? (a) k (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000072332 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 8)*(4*l - 2*l + 0*l) as h*l + y and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -623569?\nAnswer: 623572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -27) + -20 - 25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 1 = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k**2 - 1418*k**2 - 33 + 35 to the form a*k + c*k**2 + g and give c.\nAnswer: -1437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3513174, 3513112, 3512964, 3512694, 3512266, 3511644, 3510792?\n\"Answer: -6*w**3 - 7*w**2 + w + 3513186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-4))\/((-3)\/(-2)). Let n(c) be the third derivative of 1\/12*c**4 - c**2 + 0*c + 0 - 1\/2*c**3. Let r(s) = -6*s + 10. Determine g*r(i) - 7*n(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 1. Suppose -2*y + 12 = 8*v - 3*v, 16 = v - 3*y. Let t be (0 - -1)\/(2\/v). Solve o + 4*d = -h - 2, -t*o + 4*d = -18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1987200 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 98926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-108)\/90)\/(0 + 1\/(-5)). Let n(t) = 20*t - 21*t + k*t. Let u(q) be the first derivative of -2*q**2 + 1. Determine u(n(h)).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 559 + -554. Suppose -p - 10 = -4*o + p, -4*p = l*o + 20. Suppose 16 = -4*n, -3*f + 3*n = -0*n - 21. Put f, o, 1, -3 in descending order.\nAnswer: f, 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5801 = -20*d - 710 + 909. Solve -d*p - 60 = -285*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -45406443 and -45406444 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -42*f**2 - 18. Let c(n) = -n. Determine c(y(k)).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27983952793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 5*x + 2. Calculate c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - 3.99. Let d = s + 4.2. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/32360 and -31\/11?\nAnswer: 355960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 - -95. Suppose 17*c = -4*c + y. Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13*p = 18. Let q = 90 + p. Suppose 100 = 6*g - q. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -17. What is the closest to 0.01 in -0.5, i, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3 - -2) + (-25 - (-2 - 3))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 454690 - 454686.99977. Let n = -3 + t. What is n rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.07, -1\/3, 0.1, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, 5, 0.5, 27\/4, 7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*a - 15, 0 = 2*l - a + 5 - 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/547?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 4782?\nAnswer: 33474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*x + 325 = 143*x. Let b = x - -109. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 - 277 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-33 - (-10 - 21) - (-7 + 3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*w**2 - 77*w**2 + 72*w**2 - 76*w**2.\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 9*p + 6. Let g be t(6). Let y = -18 - g. Is 22 a factor of (-88)\/y*(-3 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -7, -33, -91, -193, -351, -577?\n\"Answer: -2*j**3 + 2*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 528141.4 weeks?\nAnswer: 3696989.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86466418.\nAnswer: 2, 43233209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24981.\nAnswer: 3, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(2*y + 0*y + y)*(-y + y - y)*(y**2 - 3*y**2 - y**2).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64*-25*(-420)\/(-48000)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 114*j**2 + 117*j.\nAnswer: -3*j*(j - 39)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4, 0 = 4*t - j - 19 - 5. Let g be (-3)\/(-5) - (-7)\/t. Put -4, g, -3 in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 2. Let n(r) be the first derivative of r**3\/3 + 1. Determine h(n(v)).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/35 + 11\/140. Is r at most as big as 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -4*t**3\/3 - 6*t**2 - 4*t - 8203. Let l(b) = -5*b**2 - 13*b - 5. Determine 7*c(r) - 6*l(r).\nAnswer: 2*r**2 - 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9618, -19184, -28750?\n\"Answer: -9566*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 + 4. Let g(u) = -281*u**2 - 1212*u - 4. Let z(t) = g(t) + x(t). What is the second derivative of z(b) wrt b?\nAnswer: -574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 equal to 4\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:49 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5263713 or 5263712?\nAnswer: 5263712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/16 + (-6)\/16 + 4. Let g be 9\/(-81) + (-164)\/(-18). Solve 0 = -y - n*m + 8, -2*y - 2*m + g = -m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*f - f + 2*f)*(-5 + 5 + 3*f) + 5*f**2 + 4*f**2 + 2*f**2)*(0 - 3 + 0) to the form p + t*f**2 + c*f and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1885*a**3 - 143*a**3 + 37 - 20 - 17.\nAnswer: 1742*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 2*b**3 - 6*b**2 + 2*b**3 + 2 + 8*b + 5*b**2 to the form o*b**3 + n*b**2 + j + v*b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239779667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 + 5*i**4\/12 + i**3\/6 + i**2. Let r = 2669 + -2679. Let j be h(r). Sort 4, j, -17 in descending order.\nAnswer: 4, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i*k**2*p - i*k*p + 5*i*k - 6*k**2*p + 4*k**2 + 2*k*p wrt k.\nAnswer: -8*i*p - 12*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2658933 and -17.\nAnswer: 45201861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6ab (base 16) to base 5\nAnswer: 23312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169013.\nAnswer: 13, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5586.3 - 5823. Let h = 237 + s. Let i = -0.9 + 1.1. What is the biggest value in 3, i, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w + 5*w - 6*w - 11*w. Let q(h) = -3*h. Calculate q(g(n)).\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -34. Let t(u) = j + u**2 - 58. Let m(f) = -2*f**2. Give m(t(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38 (b) 2 (c) 4\/9 (d) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1873, -6033, -12969, -22681, -35169?\nAnswer: -50433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.73 minus -39.93816?\nAnswer: -266.79184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 43*k**2 + 99*k + 469. Determine z(-41).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2726601749?\nAnswer: 43, 63409343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16660 + 66643\/4. Let w(d) be the first derivative of -3*d**2 + l*d**3 - 1\/16*d**4 + 4 + 4*d. Factor w(r).\nAnswer: -(r - 4)**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**2 + 1. Let h(g) = 298*g**2 - 2*g - 6. What is h(x) + 6*u(x)?\nAnswer: 256*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 c when three letters picked without replacement from {q: 1, x: 2, r: 1, l: 1, c: 5, w: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 45 = 8*d + 39 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 775793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 596350931 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyyuuyuyuyyyyuyuu. Give prob of picking 2 y and 2 u.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 3*r**2 + 8 - 9 + (-2*r + 2*r + 36*r)*(-r - r + r) to p*r + x*r**2 + l and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*u - 40*u + 87*u - 3*o - 21, -5 = -3*u - 5*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 4*x + 8*x - x**2 - x + (-x + 0*x - x)*(-3*x - 4*x + 6*x).\nAnswer: x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (1 + 1) - (-46 + 55).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4 + 0 + 2*z - z. Let j be x(-5). Let p(s) = -9 - 4 - 4 + 2 - s + 3. What is p(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - (-3 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235458*w = 235449*w - 153 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 3. Let b(r) = 2*r - 5. Let l(m) = 3*b(m) - 5*d(m). Let z(t) = 17*t**2 - 25. Let g(n) = -8*n**2 + 15. Let s(a) = -5*g(a) - 3*z(a). Give s(l(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 160906 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x - 11*x + 2*x**2 + 0*x**2 + 0 + 1. Let o(r) = r - 4. Let g be o(5). Let z be h(g). Is z > -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12397289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 669420157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2448598 times 45\nAnswer: -110186910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - x + 51. Give o(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 + 97*s**4 - 1882*s**3 - 146297*s**2 + 29?\nAnswer: -60*s**2 + 2328*s - 11292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3*p**4\/2 + 3*p + 6. What is the derivative of q(v) wrt v?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44a + 72?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4)*(-5 - 23 - 7)*(-3*d - d**2 + 3*d).\nAnswer: -105*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 2. Let h(r) = 481 + 4*r**2 + 0*r**2 + r**3 + r - 479. Let n be h(f). What is the biggest value in 0.3, n, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3195.79 + -3201. Round p to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 381288 = -3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from {c: 2, f: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273959 is divided by 16797?\nAnswer: 5207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/36*(-3300)\/3025\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 15*y + 62. Which is the closest to 1? (a) y (b) -0.9 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 3 + (0 - -2). Suppose -6 = -y*o + 2*o. Sort o, -2, -5.\nAnswer: -5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and -465722424?\nAnswer: 465722423.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 48 - 99 - -162?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**18\/((u\/(u\/(u*u**12)))\/u) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (283 - 233 + 158)*(45 + 46 - 38)*(f**4 - f**4 - 3*f**4 + 5*f**4).\nAnswer: 22048*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 2112012?\nAnswer: 2112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -541, -809, -1075?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 11. Let n be (6\/c)\/((-1)\/7). Suppose 97 = n*y - 107. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 4*m**2 - m + 4. Let p be z(4). Solve p = -5*x + x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308 + -3192 + -30 + (2 - 2)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 1823*b**2 + 12728*b - 114. Calculate p(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6368 and 81248.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-15)\/(-140)*(-8)\/21. What is the closest to 1\/4 in -1, x, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204.971 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1142216935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:00 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -646*q**2 + 148\/3*q**3 - 1444*q - q**4 + 73. Factor s(a).\nAnswer: -4*(a - 19)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2035 + 2035 - 14*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 758905467 to the power of 1\/3, to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 2*c**3 - 5*c**3 + (0*c**3 + c**3 + 0*c**3 + (0*c + 0*c - 2*c)*(-4*c**2 + 3*c**2 + 2*c**2))*(11 - 2 - 31).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 + 495 = -4*s - 6*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 + 1)) + 3 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 899 divide 12870237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 79*d**2 + 5*d + 18. Let p be h(-3). Suppose 0 = p*c - 707*c. Put 5, c, -3, -14 in decreasing order.\nAnswer: 5, c, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 7*r**2 - 6*r + 4. Let x be 4\/(-6) + 40\/6. What is the units digit of f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*k - 8983*k**2 - 4*k**3 - 8979*k**2 + 17962*k**2 as y*k**3 + q*k + g*k**2 + o and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -27*l. Let o = 335 - 323. Let i(a) = -48*a + 10*a**2 + 48*a - o*a**2. Determine f(i(u)).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k**2 - 2 + k**3 - 2*k**3 - 20*k**2 + 2*k. Let w(l) be the first derivative of -3*l**4\/2 - l**3\/3 + l**2\/2 + 2. Let n be w(1). What is h(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 10*s + 55. Find the third derivative of -2*g**3 + 3*g**2 - 10*g**2 - s*g**3 wrt g.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*z**5 + 13*z - 6*z + 6*z wrt z?\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86220809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 + -2422.\nAnswer: -2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2504*r**5 + 1735*r**2 wrt r.\nAnswer: -150240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - -5. Is 18 a factor of n - (9 + -2 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/5 + 70538886*z**2\/5 - 414644677587819*z\/5 + 1658577581729292\/5.\nAnswer: -3*(z - 11756479)**2*(z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 50*l - 15. Let m be y(-17). Suppose f + 1 = 0, 0*k + 4*k + 2*f - 34 = 0. Sort m, -6, k in ascending order.\nAnswer: -6, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(4\/1))\/((-2)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6*u + 8. Let x(n) = n**3 + 6*n**2 + 2*n + 6. Let l be x(-6). What is the least common multiple of i(l) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5503, -6034, -6551, -7048, -7519, -7958?\nAnswer: -8359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**3 - 3*d**2 + 4*d - 5. Let h(a) = -6*a**3 + 3*a**2 - 3*a + 4. Let x(v) = -6*h(v) - 5*m(v). Give x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 39*y**5\/20 + 53*y**3\/6 - 34*y - 2. What is the second derivative of u(x) wrt x?\nAnswer: 234*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 48\/5 of a hour?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -97.401 and 694629490?\nAnswer: 694629587.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21999?\nAnswer: 3, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 168.37794 and -2.3?\nAnswer: -387.269262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8811 and 1394541?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 82, -5, 5 in decreasing order.\nAnswer: 82, 5, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:11 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 352 * 2.1328.\nAnswer: 750.7456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 683 - d + d**4 + 0*d**4 - 639 as f + l*d**4 + h*d + g*d**3 + o*d**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 110540 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4 + 39 + 38 - 24 + (2 - 4 + 3)*(3 - 1 - 4))*(-2 + 0 + 3)*(-14*x**2 + 1 - 6*x**2 + 0*x**2) to the form j + r*x + s*x**2 and give j.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17985? (a) 1 (b) 4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, -4, -1\/3, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1529, 2636, 3741, 4844, 5945, 7044?\nAnswer: 8141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = u + 7, 5*u + 2*t + 0*t = -29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4198*n**2 + 5*n + 7878*n**2 - 4*n.\nAnswer: 12076*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -148503 divided by -2517?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ca5 (base 14) in base 4?\nAnswer: 213001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1207 - -1904. Let v = t + -162. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*p - 8, a + 0*p - 5*p = 20. Solve a = 14*x - 20 - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 + 119*c**2 - 211*c - 2. Determine b(-31).\nAnswer: 1734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132\/13 - 976\/91. Let u = -5.489 - -0.489. Sort p, 5, u in decreasing order.\nAnswer: 5, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.114146 and -3956.\nAnswer: -451.561576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**3\/3 + x**2\/2 - 2*x + 1387. Let n(d) = -9*d + 21. Calculate n(a(k)).\nAnswer: -18*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316639653.\nAnswer: 3, 11, 2029, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-56))\/(80\/28*-1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 6*x + 2285. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/3 - 742*o**4\/3 + 4612*o**3 - 65368*o**2\/3 - 5264*o\/3 + 124480 = 0.\nAnswer: -389, -2, 4, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(700) - ((sqrt(700) - (sqrt(700) + 0)) + 5)) + (sqrt(700) - (1 + sqrt(700) - sqrt(700))*-2))*6)**2.\nAnswer: -4320*sqrt(7) + 101124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 - 2*y - 7. Let t be n(-5). Suppose 0*m + t*m = 222. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18)*(-141)\/(-94)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*n + 2, -3*q = -5*n - 2791. Suppose 0*y = 9*y - q. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91791, 183567, 275343, 367119?\n\"Answer: 91776*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o + 24. Let r be 356\/o + (-5)\/10. Suppose -t = -52 + r. Solve -4*d + t = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 7*u - 11 + (-3 + 4 + 0)*(0*u - 2*u + 0*u))*(-u - u**2 + u) as i*u**2 + r*u + s + f*u**3 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(99)*5*1)\/(sqrt(45)\/(sqrt(5) - sqrt(100)\/sqrt(5))*2).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40433005.8 rounded to the nearest one hundred thousand?\nAnswer: -40400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o - 7. Let m(n) = -5*n + 3. Let l(u) = 9*m(u) + 4*v(u). Let h(r) = -2*r**3 - 1. Let i be 8\/(-44) - 39\/(-33). Determine i*l(b) - h(b).\nAnswer: 2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 29 in increasing order.\nAnswer: -4, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001238 rounded to 7 decimal places?\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b - 1. Let c(h) = -23*h**2 - 2*h + 17. Let f(a) = -2*c(a) + 4*z(a). What is the first derivative of f(p) wrt p?\nAnswer: 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 740 = 2*u, 2*k - 4*k + 2*u = -302. Let w = k + -141. What is the remainder when 32 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 2. Let k be n(1). Let y = -231 + 228. Let o be y*(-2 + k - (-16)\/6). Which is smaller: -1\/19 or o?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {y: 14, v: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 2*s + 3. Let m be z(-4). Let i(y) = y + 20. Let c be i(m). What is the third derivative of -c*n**2 - 9*n**3 + 5*n**3 - 3*n**3 - 9*n**3 wrt n?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368871994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15202\/33*12\/(-8). What is the common denominator of 7\/64 and -6 - y\/120 - -1?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.655 times 65?\nAnswer: 1862.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -365 + 357.04. Let t = n + 0.3. Let f = 0.24 - t. Round f to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/8 + 1077*g**2\/4 - 6489*g\/8.\nAnswer: 3*g*(g - 3)*(g + 721)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 40 = -2*f - 2*f, 0 = 2*n + 3*f + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**2 - 6*p - 20. Let m be d(6). What is the greatest common factor of m and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208\/5 + -41. Let w = -11370.3 - -11370.1. What is the closest to 2\/5 in w, -2\/17, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/((-3*sqrt(63))\/sqrt(7))*4)**2*-3.\nAnswer: -112\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.94 + 27.64. Let b = 9 + -13. What is the second biggest value in b, -5, 7\/16, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 175630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -150 times 0.2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 27. Let h = 3123 + -3118. Suppose 0 = 3*p - h*p + k. Calculate the highest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a - 4*a - k, -4*k = 16. Suppose a = i + 2*i - 1257. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7*z - 5*z + 1520, -2*z + 3800 = 5*a. Suppose -6*r + a = 82. What is the remainder when r is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 938.0042 millimeters?\nAnswer: 938004200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00995067334 rounded to 5 decimal places?\nAnswer: 0.00995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (sqrt(77)\/(sqrt(7)*1))**2 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Let z = j + 9. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 + 16*v - 2. Let p be c(5). Suppose -3*d + 22 = 7. Let j = -4 + d. Solve -j + p = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaaqafqfaaqfafaff. What is prob of picking 2 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a**2 - 12*a + 46. Let x be i(3). Find the second derivative of -12*m + 147 + 33*m**4 - 147 + x*m wrt m.\nAnswer: 396*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 776592313*m**6 - 448200220*m**2 wrt m?\nAnswer: 93191077560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 - 9*f**2 + 5*f + 3. Let s(y) = -7*y**3 + 19*y**2 - 11*y - 5. Let a = 8 + -10. Let r(l) = a*s(l) - 5*w(l). Is 4 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -11 (c) -0.3 (d) -4\/9595 (e) 2 (f) 0.1 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -68. Let c = 144 - l. Let p = 61.9963 - c. What is p rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11169 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j. Suppose 3*g - 67 = -4*q, -g = -1 - 4. Suppose 3*c - q + 1 = 0. Suppose -c = 2*f - 0. Give o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 2, n: 3, a: 1, v: 7, m: 1}. What is prob of sequence vv?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 353561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in 2\/31, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192 (base 12) to base 5.\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -955174.09 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**33\/(z**(-2\/3)\/(z*z**3\/z)) assuming z is positive.\nAnswer: z**(-121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -699 (c) 12 (d) -3 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 17. Put -4, a, -3 in descending order.\nAnswer: -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/42 and -101\/255144.\nAnswer: 1786008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*s + 176*s = -20*n - 445, 4*n = 4*s - 104 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*-5 - sqrt(95))\/(1*sqrt(80)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lclcllccllllc. Give prob of picking 2 c.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:30 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 46 - 386*z + 144 - 50.\nAnswer: -386*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 3*n - 7 + 10)*(-n - 10*n + 9*n) to the form b*n**2 + h + r*n and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 1*(sqrt(156)*1 - sqrt(156)))\/(sqrt(36)\/(-3*sqrt(3))))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 343 - 793 - 51 - 788.\nAnswer: 2*x - 1289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-20)\/4 - -4. Suppose 13 = j - r*j + 2*n, -4*j = 4*n - 36. Suppose -2*l + 80 = 2*h - 38, -j*l + 289 = 2*h. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -3 - 4 - (4 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012 + 1010122011?\nAnswer: 1010210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f\/f**(-1\/3)*f)\/f)*f)**(-9)*(f**(4\/5))**(-2\/69) assuming f is positive.\nAnswer: f**(1027\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Let r = x - 82. Let n = r + 96. Which is the second biggest value? (a) n (b) 3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27, -2 in increasing order.\nAnswer: -2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - 4*u**2 + 4*u**2)*(6*u - 4*u - 4*u) + 5*u**4 - 4*u**4 - 6*u**4.\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 14*c - 7. Calculate the remainder when j(-9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let k(z) = 777*z**2. Give k(c(o)).\nAnswer: 777*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109320573.\nAnswer: 3, 36440191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (769166\/32039 - 24)*(13 + 1). Are 0 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 279*o - 1132*o + 929 + 1630. Factor -1\/8*z**4 + 0 + 0*z**o + 1\/4*z + 3\/8*z**2.\nAnswer: -z*(z - 2)*(z + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 551*x**2 - 8*x - 17. Is c(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.034 - 0.166. Which is the third biggest value? (a) x (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**4 - v**3 + v. Let x(k) = 16*k**4 - 16*k**3 + 2*k**2 + 16*k. Let c(j) = 36*r(j) - 2*x(j). Determine y so that c(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-187)\/(-51)*1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/148410 and -143\/7667850?\nAnswer: 23003550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834370901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34524 + -20121?\nAnswer: -55045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 1, f: 2, d: 4, j: 1}. Give prob of sequence fj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 1\/5*n - 1\/5*n**2 + 6\/5 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/11 - 62\/33. Which is the fourth smallest value? (a) t (b) 3 (c) 2 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 22. Suppose -3*a + 5*a = 0. What is the tens digit of s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 3*q - 8. Let w(a) = -3*a - 30. Let g(k) = k + 12. Let b(f) = 5*g(f) + 2*w(f). Determine -3*b(r) - o(r).\nAnswer: -2*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/273 and -95\/672.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y - 4. Let u(c) be the third derivative of c**4\/24 - c**3\/6 + 5*c**2. Let o be u(3). What is the remainder when 70 is divided by r(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrdz when four letters picked without replacement from rrdzrzkr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -818320*q**2 - 408950*q + 105 = 0?\nAnswer: -1\/2, 21\/81832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 4*c - 6. Let z be f(5). Let v(g) = 133*g**2 - 3*g + 4. Let u be v(2). Let r = u - 314. Calculate the highest common divisor of z and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(2 + (-15)\/6). Let l(u) = -5*u**2 - 3*u - 2. Let p(x) = 16*x**2 + 10*x + 6. Give h*p(j) - 10*l(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9908651 is divided by 289?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 130 = 6*k. Calculate the greatest common factor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*i = -114747 - 582541. Calculate the remainder when i is divided by 671.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(44)*-5*2 - sqrt(33)\/(sqrt(12)\/(2*sqrt(4)) + sqrt(3))) + 4.\nAnswer: 4 + 62*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*d = -12, 0 = -4*o - 23*d + 24*d + 11. Suppose 0 = -o*m - 5*g + 2049, 0 = 7*m - 5*m - g - 2079. What are the prime factors of m?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-3*-4 - -6*2*sqrt(102))\/((sqrt(1350) + sqrt(54))\/sqrt(9) - sqrt(6)*-2*6))**2.\nAnswer: 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 - x**4 + (9*x**4 - 3*x**4 + 0*x**4)*(1 + 4 - 1 + (-2 + 2 - 2)*(-1 + 1 - 2)).\nAnswer: 47*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from llrzzlrz?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*n + 24, -22 = 4*p + n + 29. Which is greater: -21 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + -3 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 14673 = 242. Let v = -653 + p. Calculate the lowest common multiple of 60 and v.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.71 * -34.768.\nAnswer: 59.45328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6820904028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cb (base 13) in base 12?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -497*f**2. Let z(t) = -10*t**2 + 2. What is z(k(p))?\nAnswer: -2470090*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 915205775.\nAnswer: 915205774.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 3*s - 10. Let j(r) = r**2 - 2*r + 10. Calculate 3*f(q) + 4*j(q).\nAnswer: q**2 + q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1370*z**2 + 3*z**3 + 3*z - 5*z + 1 + 1385*z**2 to the form u + s*z**2 + c*z**3 + o*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -3 - (-12 - (-11 + 19)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 437101\nAnswer: -218550.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*d - 2829 - 5725 - 1003 = -85 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20111222 (base 3) to base 13.\nAnswer: -2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9*n - 5 - 11*n)*(2*n**4 - n**4 - 2*n**4).\nAnswer: 2*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*l - 12 = 0. Let p be (-30)\/(-2) + (-8)\/l. What is the highest common divisor of p and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128 - -117 - (-3 + -2 + 21)) + -4\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/12)\/(3 + -4). Let f = -6 + 4. What is the closest to 0 in -1, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -64*t + 118*t - 368. Solve 2*z - 14 = 4*q, -2*q + 102*z - 104*z = -t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -180. Let d = 0 + 0. Suppose -5*l + i - 29 = d. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -17.1. Let f = -5 + 4.8. Let z = f + 0.3. What is the biggest value in -5, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30409587 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1049? (a) -0.2 (b) -82 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/6))\/t*t\/(((t\/(t\/t**7)*t)\/t)\/t*t)*(t*t**5*t)\/(t\/(t*t\/(t\/(t**2\/t))*t)) assuming t is positive.\nAnswer: t**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2884*x. Let u(o) = -2*o + 4551. Determine u(v(p)).\nAnswer: 5768*p + 4551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d + 1606 - 543 - 571 - 548 + 9*d to k + y*d and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 439627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*m - 4*m - 24*m + (2 - 1 + 1)*(-1 + 1 + 2*m))*(0*m**3 - m**3 - 5*m**3) as n + d*m**2 + x*m**4 + q*m**3 + p*m and give x.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1154792*p**5 + p**4 + p**3 - 2*p**2 + 37355*p + 31 wrt p?\nAnswer: 69287520*p**2 + 24*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(2057))**2 + -5*(sqrt(17) + (sqrt(34)\/(sqrt(2)*-2))**2).\nAnswer: -5*sqrt(17) + 8159\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -3*v**5\/20 + v**4\/24 + 3*v**2 + 13*v. Find the second derivative of b(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3734*k*n**5*r - 2129*k*n**4 + 14*k*n*r + k*n + 7*n*r - 470 wrt n.\nAnswer: 74680*k*n**3*r - 25548*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12 and 37\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*v - 196*v = 5*w - 169, -4*w = v - 128. Solve w*z - 32 = 25*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58478 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.125443 rounded to 1 dp?\nAnswer: 403.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 2, r: 3, i: 6, j: 4, a: 3}. Give prob of sequence rria.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301 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 l = 7 + -4. Let i be -1 + (-4)\/(8\/6). Put i, -2, l in descending order.\nAnswer: l, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.299 and 4.\nAnswer: 4.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/360 - h**5\/60 + 2471*h**4\/24 - h**3\/3 + 10*h**2. Let p(k) be the first derivative of v(k). Is p(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 232, 826, 1980, 3880, 6712, 10662, 15916?\nAnswer: 22660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 111 = 3*v. Let m = v - 8. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.103131g to micrograms.\nAnswer: 103131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1446*p - 1444*p = 104. What is the greatest common factor of p and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Suppose -s*n - 14 - 8 = 0. Let a = -7 - n. Sort 0, a, 5 in decreasing order.\nAnswer: 5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 12 = 28*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**(-2)*d)\/d)\/d)**(-28\/3)\/((d*((d*d\/(d\/((d**(-7)\/d)\/d*d))*d)\/d*d*d)\/d*d)\/(d*(d**9\/d)\/d*d)))**(4\/3))**(2\/105) assuming d is positive.\nAnswer: d**(328\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84390276 and 5436?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -2911837838.\nAnswer: -2911837838.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 155703 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -35*y**3\/4 + 20*y**2 + 85*y\/4 - 15\/2 = 0?\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9094284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o + 5*o + 9*o + 9*o - 2*o - 2012 in the form t + u*o and give t.\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/3 - 188*i**4\/3 + 8471*i**3 - 97600*i**2\/3 - 123200*i\/3 = 0.\nAnswer: -280, -1, 0, 5, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 8*k - 15*k. Suppose -3*o + 5*v = -64, -2*o + k = -v + 3*v. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2643, 5319, 7995, 10671?\nAnswer: 13347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/(-125)*(1 + 0 + 569). Let i = 4 - 0. Calculate the smallest common multiple of 152\/p + (0 - 17\/(-3)) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1288)\/42)\/((-4)\/6). Let h be -4*1*(-23)\/b. Suppose -3*z + 4*k = -272, -5*k + 266 = h*z + 77. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -17 + 0*b**2 + 1\/3*b**3 + 0*b. Let s(f) = 2*f. Calculate g(s(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -x - 3*x + 112, -3*j - 17 = -x. Let q = 42 + -27. What is the third derivative of 10*a**6 + q*a**2 - x*a**6 - 7*a**6 + 5*a**2 wrt a?\nAnswer: -3120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-295)\/(-295))\/((-7)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 934*v**2 + 417*v wrt v?\nAnswer: 1868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -337661 or -337658?\nAnswer: -337658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222341 and 198864.\nAnswer: 32017104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let u be ((-9)\/6)\/((-6)\/44). Let a = u + -10. Is a > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*o = -4*s - 44, -68 = 5*s + 4*o for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 77 = 3*g, -5*g - 2*v - 3*v + 155 = 0. Solve j + 11 = -6*q + 4*q, 4*q = -3*j - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 + 8*a**4 - 8*a**4 + (2*a + a**4 - 2*a)*(-479290 - 789*a + 479290 + (-a + 3*a - a)*(3 + 2 - 3) - a - 4 + 4).\nAnswer: -784*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7421118 and 6858?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/150 + a**4\/30 + 12*a**2. Factor f(b).\nAnswer: -2*b*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**2 - 3602 - 11*x + 3602.\nAnswer: 37*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2413 - -2477. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*g - 79*g + 153*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 542739803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996854 is divided by 274?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 653*w**2 + 9*w + 2. What are the prime factors of t(-2)?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9274096 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13164 - -13288. Solve d*h - 112*h - 84 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from vvvrrpvspvvvpvvrvr?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64\/117 - -10\/13. Suppose -3*x = -3*k + 2*k, -2*k + 3*x - 12 = 0. Let b = k + 9. What is the third biggest value in u, b, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = 11*c + 221 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -64\/7, 0, -0.9, 0.93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/7 (b) 3 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*v + 2*v + 56 = 0, 22 = f - 2*v. Suppose 4 = -2*s + f. Solve -s*m = 16, x + 0*m = 2*m + 13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = -62. What is the units digit of (-1 + 2)*f + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1477, 1389, 1235, 1009, 705, 317?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664674*i**2 - 1664674*i**2 + 21*i**3.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*f - 111 = 91 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26838 in -2\/7, 1\/3, -5\/3, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*n - 50*n + 162 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v**3 - 36*v**2 + 201*v - 300. Let a(z) = -26*z**3 + 109*z**2 - 602*z + 900. Let g(n) = -6*a(n) - 17*u(n). What is s in g(s) = 0?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25216 (base 12) to base 6.\nAnswer: 1025230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 1. Let n be u(-1). Let a = 0 - -2. Solve -3*f + 6 = 0, 2*y = -a*f - n*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*p + 5*w, 2*w = 4*p - w + 9. Suppose 0*i + 13*i - 98917 = p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 1431 (c) -0.2 (d) -0.083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 165*b - 169*b + 4.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (2 + -5 - -11). Calculate the common denominator of -75\/4 and (-119)\/h - (17 - 21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4200 and -19\/2800.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 32*g. Let n(b) be the second derivative of -b**3\/3 - 121*b. Calculate n(h(v)).\nAnswer: -64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1760 and 55781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 4\/(-20) + -2. What is the second biggest value in 5, 62, 2\/3, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 381, 439, 0 in decreasing order.\nAnswer: 439, 381, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25453, 25386, 25391, 25462, 25593?\nAnswer: 25778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 4 (b) -22 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/(-232))\/(-5))\/(-297*109\/(-14388))?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 170*m**2 + 3*m - 2. Let o be x(1). Let s(p) be the first derivative of -3*p + 173*p**2 - o*p**2 + 5 + 3*p. Let q(a) = 4*a. Give q(s(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 - -0.29. Which is the closest to r? (a) 0.5 (b) -10 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - -0.02. Let u = -0.04227 + 0.54227. Which is the closest to p? (a) -3 (b) u (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 305*q. Let v(r) = -45*r - 44. Give v(k(f)).\nAnswer: -13725*f - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-69)\/(-15)*(-5 + 10). Calculate the greatest common divisor of 46 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 850, 852, 854?\n\"Answer: 2*q + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -38. Suppose 0*j = 2*j - c. Let b = j + -8. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-21))*((n*(n\/(n*n**(-9)*n)*n*n)\/n)\/n)\/n*n*n)**(-2\/63) assuming n is positive.\nAnswer: n**(-62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + c + 6, 49*y - 4*c - 10 = 48*y - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19329086560.999999176 - -19329086195. Let x = -366 - h. Round x to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*f - 678*f = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(21)\/(sqrt(6)\/sqrt(2)*-6)*-1.\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3143192\/11 - 285742. Let 96\/11*q + 128\/11 - o*q**2 + 2\/11*q**3 = 0. What is q?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(300) + 1 + sqrt(300))**2 + (2*(-1 + sqrt(300)))**2 - ((-2*sqrt(36))\/sqrt(4))\/(sqrt(3) - -2*sqrt(12)).\nAnswer: -198*sqrt(3)\/5 + 2407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10996 is divided by 5481.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kor when three letters picked without replacement from {h: 2, r: 1, k: 4, x: 1, o: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 460*s + 453. Determine z(91).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31103 is divided by 15514?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 348, -4, -124 in descending order.\nAnswer: 348, 3, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9495338*q**6 + 23557*q**2 - 135?\nAnswer: -1139440560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 672047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = h + 4*d, -3*d = -4*h - 0*d - 12. Suppose 5*w + 5*l = 0, 5*w + l + h = 8. Let o(p) = -p. Let x be o(5). Sort w, 0, x in descending order.\nAnswer: w, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 35. Let l be (g + 2)\/((-4)\/42). Suppose -4*d = 4*j - 100, j - 3*j + 35 = -3*d. Solve j = -5*y - 2*v, 5*y = -3*v - 2 - l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 17320133?\nAnswer: 17320147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -326, -659, -992, -1325, -1658, -1991?\n\"Answer: -333*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*t - 5 = -7*j, 4*t - 35 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0099 + 1.4099. Which is the second smallest value? (a) 3\/2 (b) -3 (c) -5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149821 + 64660. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3*t**3 - 11 + (2*t**2 + 1 - 1)*(-3*t + 4*t - 3*t) + 2*t**3 + 0*t**3 - t**3)*(-39*t**2 - 17*t**2 - 278*t**2).\nAnswer: 2004*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = -3*r + 4*j, -r + 4*j + 20 = 0. Suppose -f + r = 2. What is the smallest common multiple of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 2, 6, -14, -11.\nAnswer: -91, -14, -11, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 8*u**3\/3 + u**2 + 248*u. What is z(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 4*d + 300. Let k be (-20)\/d*-5*(-3)\/42. Let s = -0.4 - -0.5. What is the biggest value in -0.4, s, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 8*l + 10. Calculate h(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326799*j + 326799*j - 14*j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 + 0*u**3 - 2*u**3)*(10*u + 6*u - 19*u).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - z**3 + 0*z**3 - 2 + 1 in the form c + h*z**2 + k*z + v*z**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16171 or 210205\/13?\nAnswer: 16171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/30 - 2*m**2 + 26. Let d(v) = 2 + 9*v + 17*v - 13*v + 11*v. What is r(d(h))?\nAnswer: -1152*h**2 - 192*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 6 - 6)*(-4*x**2 - x**2 + 3*x**2) - 18*x**3 + 29*x**3 - 12*x**3 - 73*x as y*x**3 + n + h*x**2 + t*x and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 722949.6 to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 246*i + 8*i**2 - 246*i. Let x(b) = 8*b. What is g(x(t))?\nAnswer: 512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/11))**(6\/19) assuming s is positive.\nAnswer: s**(18\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 16*s - 9. Let m be ((-3)\/(-1) - 2)*-9 - 3. Let b be z(m). Let k = b - 25. What is the greatest common divisor of k and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y**3 - 47*y - 6. Let m(u) = -31*u**3 - u**2 + 142*u + 17. What is -6*m(n) - 17*w(n)?\nAnswer: -n**3 + 6*n**2 - 53*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12272670*f + 1055880.\nAnswer: -12272670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4296 = -h - 790337, 3*h = 2*l - 529760. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 3 - 2\/(-2). Let t = z + 0. Let x be -2 + (2 - 4 - -4). Put t, x, -3 in decreasing order.\nAnswer: t, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.57045?\nAnswer: -0.11409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + t + 49 - 40, -5*t = -3*r + 9. What is the smallest common multiple of 3075 and r?\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951 a factor of 7849839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8029591 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**7\/2520 + a**6\/360 + a**4\/4 + 2*a. Let c(o) be the third derivative of t(o). Factor c(j).\nAnswer: j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + f + 3*f + (-6 + 3 + 5)*(f + 0 + 0) - 1 + f + 1 - f - f + 0*f - 88001 + 176013 - 3889*f - 88012.\nAnswer: -3887*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) 2 (c) -151 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 156, -1, 2, -26, 3, -5 in descending order.\nAnswer: 156, 3, 2, -1, -5, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -8*z**6\/15 - 332*z**5\/25 - 503*z**4\/5 - 2212*z**3\/15 + 2934*z**2\/5 - 1296*z\/5 + 1056. Suppose m(i) = 0. Calculate i.\nAnswer: -9, -4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8333 - -10804. What are the prime factors of r?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - (3*sqrt(240) - sqrt(240))*2)\/sqrt(8))\/((sqrt(10) + 3*sqrt(10)*4)*-4).\nAnswer: 3*sqrt(3)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3461858062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -43. Let j(f) = 18*f - 1. Determine j(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ittt when four letters picked without replacement from {i: 3, l: 5, t: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 + 308\/21)*-6*1. Let m(t) = 20*t**3 + 4*t**2 - 2*t + 1. List the prime factors of m(s).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 278615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460671351 a multiple of 2601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 4*q**2 + 0*q**2)*(-10*q - 9*q**2 + 10*q).\nAnswer: -45*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q)**(-37\/5)\/((q\/(q*((q*q**4\/q)\/q)\/q))\/q)**(-24) assuming q is positive.\nAnswer: q**(-286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 5, -26 in increasing order.\nAnswer: -26, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -957, -1913, -2861, -3795, -4709, -5597, -6453?\nAnswer: -7271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 28. Let t = 8 + 5. Let s be n(t). Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 6*j**2 - 8*j**2 + 10*j**2 + 40044 - 40044.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2434918 divided by 23.\nAnswer: -105866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7876*z - 5325*z + 6781*z.\nAnswer: 9332*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 135131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*q + 5, 3795*n - 3*q = 3796*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2403 by -89.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(21\/18)*9\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-10)\/47151210*9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7861, 15412, 22963, 30514, 38065, 45616?\n\"Answer: 7551*k + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 82\/123*18\/4. Solve -4*a - 11 = g, -7*g + 3*a = -j*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 241\/1962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -8. Let k be 6\/(-21) - (-149)\/448. Let l = k + 113\/320. Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416 by -13.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.1 - -36. Which is the nearest to -0.2? (a) 40 (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4167\/39818)\/((9\/(-15))\/(4\/10))?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)\/n)\/(n*n**(-5)))\/(n**(-2\/7)\/(n\/(n*(n\/(n**(2\/9)*n))\/n*n))) assuming n is positive.\nAnswer: n**(263\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/8)*s*s)*s)**(-5\/8) assuming s is positive.\nAnswer: s**(35\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p - p + 4*p)*(340*p**2 + 104*p**3 - 340*p**2) in the form n*p**4 + a*p**3 + i*p + m + d*p**2 and give n.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -366315.182 rounded to the nearest one hundred?\nAnswer: -366300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 divided by -7?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 116 - (0 + 2 + (0 - 4) + 7)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61747, 62083, 62419?\nAnswer: 62755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-399681)\/(-104145) + (-95)\/25.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 393774735 divided by -3\nAnswer: -131258245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -13, 0.3, 73 in ascending order.\nAnswer: -13, 0.3, 0.5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 2, c: 1, j: 1, k: 1, g: 2}. Give prob of picking 2 p and 1 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 - 19197*h + 38397\/2.\nAnswer: -3*(h - 1)*(h + 12799)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 96009 divided by 5\nAnswer: 96009\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44017 - 19085. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8 and 59\/1700.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007891871 to 6 dps.\nAnswer: 0.000789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -30*d**3 + 2*d**2 - 2*d + 1. Determine n(2).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19728 - -19727. Let p = -10 + 8.6. Which is the closest to -1? (a) w (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2329 = -t + 4*n, -5*t - 5*n + 11047 = -598. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 339 - 307. What is the least common multiple of 12 and s?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9718148 divided by -11.\nAnswer: -883468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -2*f**6\/15 - f**5\/20 + 19*f**4\/3 - 5*f + 5. What is the third derivative of j(h) wrt h?\nAnswer: -96*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Suppose y*a + 2*q = 2, 4*a = -0*a - 2*q. What is the units digit of (1\/(-3))\/(a\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 less than -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115619*p**4 - 226287*p**2 wrt p.\nAnswer: -2774856*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 16. Let k(m) = -2*m - m**3 - 8*m**2 + 0*m**2 + 1 + 4*m**2. Calculate the remainder when k(-4) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2118*f = -335*f - 878*f - 159888 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 3637*x + 3.\nAnswer: -3637*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 4:26 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190\/3 - 253\/6. Let g = -74519\/14 + 5330. What is the common denominator of j and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.4 (c) 3.4 (d) 4 (e) 0 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571, -598, -649, -730, -847?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 55. Is 4 a factor of 3*n\/(75\/155)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(1*-2))\/(-11*(-12)\/(-660)). Put 0, 2, -4, b, 32 in decreasing order.\nAnswer: 32, b, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 47*o**2 + 46*o - 76. Let y be i(-48). Calculate the highest common factor of y and 69000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.9, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c + -5?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1198d9a (base 14) to base 16\nAnswer: 80bfec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -206 - 1?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538251 greater than or equal to 4538258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/(-2499))\/(-6*(-16)\/(-1764))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -43813?\nAnswer: -43813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, p: 1, k: 4, h: 3, y: 1}. What is prob of sequence dq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {v: 1, k: 5, j: 8, a: 3, e: 2}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**5 - 10*p + 2*p**5 + 0*p**5 wrt p?\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5\/2 - 5350*g**4 + 290315*g**3 - 564570*g**2 + 559215*g\/2 = 0. Calculate g.\nAnswer: -2193, 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/4 - 1\/(-4). Which is the nearest to 1? (a) -4\/7 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/o*o**11)\/(o**(2\/7))**24 assuming o is positive.\nAnswer: o**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 - -228. Solve -2*l = -f - 6, l - 12 = f + o*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - 144\/(-27). Solve u - 5*u - 12 = -r*t, 0 = -t - 3*u + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuc when three letters picked without replacement from {c: 2, f: 1, y: 1, u: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 1. Let n be q(-3). Suppose -4*t - 3*u = -5*u - 14, -4*u = -2*t + n. What is the remainder when 8 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let q(v) be the third derivative of -v**4\/8 + 7*v**3\/6 - 185*v**2. Give q(j(c)).\nAnswer: 3*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**2 - 5*d**2 + 8*d**2 - 3*d**2 + d**2 + 4*d**2 + (15*d - 41*d - 38*d)*(1 - d - 1) as x + k*d + j*d**2 and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 0.143 (c) -2 (d) 1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 913540.6ng?\nAnswer: 0.0000000009135406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 59*h + 59 = -725 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 - 8892 + 8952 - 64*h + 3*h**2 = 0. What is h?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 * 7.88\nAnswer: -464.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33240098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 - 246*r**2 + 30*r - 533. Determine m(82).\nAnswer: 1927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b9 - -9?\nAnswer: -7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12194 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieie when four letters picked without replacement from {z: 2, e: 2, i: 5}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 878239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79812*m + 79366*m - 132151*m to the form f + s*m and give s.\nAnswer: 27027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 3, q: 2, n: 12}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/3, -23, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*3*1*sqrt(99)*-3)**2.\nAnswer: -1002375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 6\/13, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2. Let c(j) be the second derivative of -433*j**4\/12 + 829*j. Determine c(b(n)).\nAnswer: -3897*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 2*c - 5*c)*(-c**2 - 5*c**2 - 2*c**2) + 0*c**3 - 52*c**3 - 156*c**3 to a*c**3 + b*c + i + u*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-4 - -4) + 1. Suppose -25 = -5*v + 5*o, -3*o = -v + 3*v - 25. Solve 2*u = m*b, 0 = 2*b + 3*u + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*x + 516 - 516)*((-4 - x + 4)*(-3*x + 2*x + 2*x) + 0*x**2 + x**2 + x**2) as p*x**2 + y*x + v + q*x**3 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v**3 - 2*v**3 - v**3)*(1 + 3 - 5)*(-6 + 2 + 3) + 2*v**3 - 6*v**3 - 5*v**3 to o*v + j*v**2 + s*v**3 + r and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25643 times 324?\nAnswer: -8308332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 421364759 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1 + (-392 - -422) + 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 457 + -409. Calculate the common denominator of (-46)\/84*(1 - -1) and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*x - 891*x - 25472 = 0 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 - 2*x**5 + 4*x**5 + (6*x**4 - 2*x**4 - 2*x**4)*(-2*x + 1 - 1) + x**5 - 2*x**5 + 2*x**5 + x**5 + 5*x**5 - 1 - 1.\nAnswer: 2*x**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, -0.02, 1, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -7*m - 244 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89253?\nAnswer: 3, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, -6, 365, 3 in decreasing order.\nAnswer: 365, 3, -6, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**9\/84 - u**5\/15 + 11*u**2\/2 + 3. Let a(n) be the second derivative of l(n). What is the third derivative of a(d) wrt d?\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468))**2 + sqrt(832) + 0.\nAnswer: -4*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -36. Let i be (-1 - g\/(-2))*18\/(-3). Suppose -2*h + i*b = -160, h - 4*h + 226 = -b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7149999 to two dps.\nAnswer: -2.71","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2625094, -2625141, -2625188, -2625235, -2625282?\nAnswer: -2625329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1329 or 1328?\nAnswer: 1329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2750510*c**4 + 2750513*c**4 - 2*c**3 - 3 + 3*c - c**3 - 3*c**2 to f*c**3 + n*c**4 + h*c + d*c**2 + r and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 63. Let y = 9 + v. Suppose y*h = 13 + 77. Calculate the smallest common multiple of h and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5 = -6*s, 0 = -2*h - s - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166385856 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 17. Let b(j) = -5*j**2 - 76*j - 11. Let g be b(-15). What is the greatest common factor of k and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7814 in 0.1, 2\/3, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**4\/12 - 17*g**2. Let y(n) = 4*n**2. Calculate l(y(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*a**6*y**2 - a**3*y**2 + 26*a**2*y**2 + 2*a**2*y + 2*a**2 wrt a.\nAnswer: -9960*a**3*y**2 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 (base 9) in base 8?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 90 = 29*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5581*a**3*t**2*y**2 + 14*a**3*t**2 - 53*a**3*y**2 + 11*a**2*y**2 - 2*a*t*y**2 - 18*a*t*y wrt t.\nAnswer: 11162*a**3*y**2 + 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. What is the smallest value in 0.3, -2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18370592 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 - -7)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*m**5 - m**2 + 905*m?\nAnswer: 420*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t = -70*t + 64. Let j(i) = 2*i**2 - 41*i - 6. Let w(r) = -r**2 + 27*r + 4. Determine t*w(a) + 5*j(a).\nAnswer: 2*a**2 + 11*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20484 and -88?\nAnswer: 20396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -2\/15*p**6 + 0*p**3 + 5\/12*p**4 + 0*p**5 + 2*p + 0 + 0*p**2. Find the third derivative of k(v) wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -162484*v**2 - 1814629.\nAnswer: -324968*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + -52. Let j = i + 11. Let x = -12 - j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 2*f - 1. Let b be i(-1). Suppose 0 = b*n - n - 10. Suppose -14 = 4*l + 2, -12 = c + 4*l. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -9. Let g be 4\/((1 - c) + (-10)\/30). Suppose -602 = -g*p + 184. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3484)\/(-6))\/(18\/27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + -3.3. Is 3 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4296755873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 - 2*f + 12. Let q(y) = 11*y**2 - 3*y + 24. Let u(t) = 9*j(t) - 4*q(t). What is the units digit of u(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + m)*(-15 - 10 - 58)*(-18*m**2 + 0*m**2 - 105*m**2).\nAnswer: 10209*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-208)\/2730*198\/(-264)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, -163, -5, 5.\nAnswer: -163, -5, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918 divided by -459.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141037558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6)*(-21)\/2. Let c = r + -7. Suppose c = -6*y + 3*y + 2*m + 60, 4*y - 5*m = 80. Solve 0 + 4 = -g, -5*z + y = -5*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -14, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -153244141 (base 6) in base 4?\nAnswer: -30113033131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91548 divided by 3?\nAnswer: -30516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -17. Calculate the remainder when (-258)\/(-10) + w\/35 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 96464*o**2 + 6774576*o - 60368256 = 0 for o.\nAnswer: -78, 8, 24186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/137 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-1080))\/((4\/2)\/(-50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26189340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:35 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -28, 3\/4, -0.2, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/25 and 27\/34600.\nAnswer: 34600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3673326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 - 40*l**2 - 128*l - 128 = 0. What is l?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098320859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53 * 82.\nAnswer: -43.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.8565 litres to millilitres.\nAnswer: 90856.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -57.32. What is g rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2639 + -0.26392814. Round l to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, 34, 136, 330, 646?\n\"Answer: 5*m**3 + m**2 + 2*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:44 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3 = -27*j + 22*j, p - 7 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 260 = -11*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 231413, 462826, 694239?\n\"Answer: 231413*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22970 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -5. Solve -2*s + y*s = -3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15072050 and 12600.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -4*z + 143. Let u = 38 - z. Let k be (-2)\/(-6) - (-9)\/u. Solve k = y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (-15 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 85\/3 + -1 + (-4)\/(-6). What is the highest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 19*f + 77. Calculate h(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/3 + 120*m. Let x(c) be the third derivative of -7*c**4\/6 + 31*c**2. Determine x(g(d)).\nAnswer: -112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4731 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 62*k**3 + 3*k**2 - 8*k + 62. Let y(z) = 42*z**3 + 2*z**2 - 7*z + 63. Calculate -2*p(h) + 3*y(h).\nAnswer: 2*h**3 - 5*h + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5. Let w be -1*(33*s)\/3. Let y(m) = m**3 + 10*m**2 - 10*m + 13. Let d be y(w). Solve -d*r = 1 + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f + 1. Let j be p(0). Let c = j - -1. Solve -c = -k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 5*h**3 + 5*h**3 + (-4 + 4 - 1)*(2*h**3 - h**3 - 3*h**3) - 35*h**3 - 49*h**3 + 18*h**3 to the form f*h**3 + n*h**2 + i + w*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**5 - 3*j**4 + 8*j**3 + 8*j**2 - 5*j + 5. Let n(r) = r**3 + r**2 - r + 1. Let x(w) = 5*n(w) - y(w). Factor x(b).\nAnswer: 3*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227984103?\nAnswer: 3, 25331567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2534789 greater than -2534789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36861274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 53431*r - 6438*r.\nAnswer: 46993*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 16. Suppose -l - l + 2*t = v, l = 5*t - 9. Let z = 3 + l. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -51*b**3 + 6*b**2 - 16*b. Let v(f) = 52*f**3 - 5*f**2 + 16*f. Let a(o) = -4*v(o) - 3*y(o). Find the third derivative of a(i) wrt i.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5291 + 82*u + 148*u - 9657.\nAnswer: 230*u - 14948","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -212, 67, 2, 1 in descending order.\nAnswer: 67, 22, 2, 1, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13699341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3206\/2 + -25 + 20?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-305797)\/(-111982))\/((-2)\/52)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 380 in 9, 0.11, 0.3, -7, 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 8*d + 4*w + 6 = 0, -w - 3 = 0. Let q(y) = y**3 - 3*y**2 + 2*y - 5. Calculate the remainder when q(5) is divided by ((-19)\/2)\/(d\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10780 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.434 rounded to two dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39926*u**2 - 97427*u.\nAnswer: 79852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -9. Suppose -4*j - 4 + 28 = 0. Suppose -4*r = 0, -6 - j = -h + r. What is the greatest common divisor of a and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -13*c**3 - 29*c**3 + 41*c**3 - 4. Let j(g) = -3*g**2. Determine v(j(r)).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 - -138 - (1 - -24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-10\/9))\/m*m*m**(2\/25)*m)\/((m**(-2\/17)*m)\/((m*m*m\/m**(-6\/13))\/m)) assuming m is positive.\nAnswer: m**(237203\/49725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*m + 86249, -29923 = -2*w - m + 13200. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from {a: 3, v: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1.375.\nAnswer: 1.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 13*m = -41, -114*m + 110*m - 1 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.9 + 1.1. Let d = n - 7.48. Let a = d - 0.02. Sort 5, 0, a.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*h**2 + 23*h**3 + 4 - 21*h**3 + 9.\nAnswer: 2*h**3 + 336*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**4 + 2*o**3 + 5*o**2 - 18*o + 3. Let p(n) = -11*n**4 - 12*n**3 - 31*n**2 + 108*n - 20. Let c(v) = 34*g(v) + 6*p(v). Suppose c(r) = 0. What is r?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847*c**3*x**2 - 3*c**3 + 2*c**2 + c*x**3 + 25*x wrt x.\nAnswer: -1694*c**3 + 6*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 215898 divided by -215898\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*o - 31, -2*o + 95 = 3*o + 4*b. What is the highest common divisor of o and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - -b0?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732180 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*o = 75, -o - o - 88 = -4*v. Suppose 0 = 5*n + 2*u + v, 4*n + u + u = -20. Which is the smallest value? (a) 2 (b) n (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1098 divided by 3.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 259548 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45253 divided by -1\nAnswer: 45253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -33679*j. Let o(r) = r. Calculate z(o(g)).\nAnswer: -33679*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*39284\/(-427))\/(3\/6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 483208701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15236)\/(-10) + (-6)\/(-15). Let b = y + 2976. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 6*r**2 - 3*r + 2*r + 2*r**3 as b*r**2 + c + q*r**3 + y*r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/17 - 2808*o**3 + 47730*o**2\/17 + 95468*o\/17 = 0. What is o?\nAnswer: -1, 0, 2, 23867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3709581723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100*5\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496 and 100192.\nAnswer: 100192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 - 3*d + 6. Is y(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = j + 4 - 16, -6 = -2*a - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -1\/3*r**3 - 1\/60*r**5 - r**2 - 1\/4*r**4 + 0 + 0*r. Is b(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 22*j**2 - j + 3. Let h(b) = -2*b - 8. Let c be h(-5). What is the tens digit of y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11773 * 0.31\nAnswer: 3649.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/11 in 4, 5\/9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 9*s**2 - 2*s + 12. Let x be h(9). Let q(z) = -14*z - 58. Calculate the remainder when 76 is divided by q(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 1:20 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -958*w + 19155. What is u(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 41 - 93*i + 1998*i**2 - 2058*i**2 - 11 + 63*i**3 = 0.\nAnswer: -1, 2\/7, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5 + 1)*(-3*i**3 - 1718*i**2 - 185 + 1718*i**2).\nAnswer: -9*i**3 - 555","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0138561334 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) -0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709 a factor of 664191976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 627 and 0.039.\nAnswer: 24.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 - 4*c + 3. Let u be y(5). Let d = u + 4. Suppose -m + b + d = 0, -5*m - 5*b = -47 - 63. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*c*h**3 - 6*c*h**2 + 36*c*h - 34*c + 9223507*h**3 wrt c?\nAnswer: -8*h**3 - 6*h**2 + 36*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 7*d + 15. Let l be q(9). Let m be 2913\/9 - 1\/l. Suppose m = 9*k - 162. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -20. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**0)*v\/(v\/(v\/v**(3\/8)*v)))**(-3\/22) assuming v is positive.\nAnswer: v**(-63\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -835, -3358, -7563, -13450, -21019?\n\"Answer: -841*x**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 14.8. What is the closest to 2 in -0.5, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005182649 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -23. Let r = -13 + 12.9. Let m = -7.9 + 6.9. Which is the nearest to r? (a) h (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 4*v + 8, 0 = -4*t + 5*v - 11. Let a = t + 19. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -22*s**3\/3 + 139. Let l(u) = -u**2. Calculate i(l(j)).\nAnswer: -22*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 135.6, -44, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*n**5 + 2*n**4*y**3 + n*y**3 - 362*n*y**2 wrt n.\nAnswer: -3040*n**3 + 24*n**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - r - 271, o - 2*o + 4*r = -94. What is the remainder when (1\/(3\/(-228)))\/((-17)\/(1989\/52)) is divided by o?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 - 65*h + 67. What is u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(1\/3))\/c)\/c*c)**33*(c**(-1\/7)\/c)\/c*c**(-7\/5)*(c*c**(-4)*c**(1\/3))\/(c\/(c*c\/c**1*c))**(-3\/16) assuming c is positive.\nAnswer: c**(-29227\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*y + 3 - 4, 0 = -5*y + 10. What is the third derivative of -268*c**x - 15*c - 12*c**2 - 8*c**2 + 14*c**2 - 3*c wrt c?\nAnswer: -1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**3\/6 + 6*v**2 - 3*v. Let h be f(-10). Solve -p - 17 = q + h*p, -4*q + 12 = -4*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 377 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110 (base 2) in base 9?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3449043715.\nAnswer: 5, 13, 53062211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/600 + (-118)\/(-208). Let p(s) = s**3 - 9*s**2 + 7*s + 10. Let x be p(8). Suppose 5*b - 10 = x*k, 2*k = -2*b + b + 2. Is b at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6497615 millennia to months.\nAnswer: 7797.138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 3 = 5*u. Let s(l) = -l**2 - 5*l - 4. Let b be s(-4). Suppose 5*n - 2*d + 3*d = 14, 0 = -n + d - 2. Sort n, u, b in descending order.\nAnswer: n, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 8*f**2 + 3*f - 6. Is l(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 + 12*r + 8 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*i + 9*i - 31*i - 13142 = 2872 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a factor of 626299580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68801*71.\nAnswer: 4884871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 259194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163 and 794951.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4217 + 35836. What are the prime factors of p?\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + x - 4)*(-2*x**2 + 4*x**2 - 3*x**2) + 2*x**3 + 0*x + 0*x + x**3 - 2*x**3 + 3*x**3 + x**3 + 0*x + 0*x + 11*x**3 - 9 - x**3 - 8*x**3.\nAnswer: 6*x**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -4*i + 4*n, 0 = -4*i - 574*n + 579*n + 91 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -332032471\/16 - -20744535. Let v = r + 7491. What is the common denominator of v and (-1822)\/252 + (-4)\/(-14)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5693 by 837.\nAnswer: 5693\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*a - 2. Is 1\/24 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3051 divided by -3.\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 101*d**2 + 5. Let v(b) = -b**2 - 1. Let r(c) = 5*v(c) + w(c). Let q(p) = -2593*p**2 - 2596*p**2 + 7779*p**2 - 2589*p**2. Give r(q(s)).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 3 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 2566363?\nAnswer: 2566413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983.43139 rounded to the nearest ten?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -5826184?\nAnswer: -7\/832312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 23 = 3*w, -g - 3*g + 3*w = 7. Let o(h) = -h**2 + 6*h - 1. Let b be o(5). What is a in -2*a**2 - a**3 + 3*a**3 + b*a**g = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713896 less than 0?\nAnswer: -1713896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2, 1, 4, -4 in descending order.\nAnswer: 4, 2, 1, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303313230 (base 4) in base 5?\nAnswer: -110141404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/638 and 113\/18.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:20 AM?\nAnswer: 567","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 8*r**2 + 9*r + 17. Let f be (-6)\/(96\/(-244)) + (-5)\/20. Suppose -f*m - m = 112. Give z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 29. Put v, 1\/7, -3\/2 in descending order.\nAnswer: 1\/7, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22968.1 centuries to decades.\nAnswer: 229681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -0.14 (c) 39 (d) -203 (e) -4 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**12\/s))\/(s*s**(1\/9)*s)*(s**17)**(-2\/197) assuming s is positive.\nAnswer: s**(-21779\/1773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 49*q + 50*q - 2 - 94*q. Let n(x) = x**2 - 5*x + 2. Let c be n(5). Suppose -2 = -j + c. Determine i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3\/5, -0.1, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 - 652?\nAnswer: -6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098891237 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 298794 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 31 - 7 = 0. Let u(v) = -4*v - 19. List the prime factors of u(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2.13.\nAnswer: -4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + 399\/4. Is -3 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 4*f**2)*(-f**3 - f**2 + f**2 + (-5 + 0 + 1)*(-8*f**2 - 6*f**3 + 8*f**2)).\nAnswer: 92*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(168\/16)*215\/(-15)*36\/(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94083 - 94088. Let g = 0.3 + -0.2. Which is the closest to 0.06? (a) 0.5 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-606529)\/(-22) - 120\/48?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/17 in 0.6, 41, -1\/2, -0.09, -3\/31?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 61 - 229 = -3*n, -2*n + 5*r = -99. What is the remainder when 214 is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/11)*o*(o*o\/(o\/(o\/(o\/o**(1\/9)))))\/o*o**(2\/15)*o**(-6\/5)\/o assuming o is positive.\nAnswer: o**(-518\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eooe when four letters picked without replacement from {o: 6, e: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-852)\/(-72) + (-4)\/(-24). Let w be 0 + -4 + (3 - 1). Let l be ((-1)\/w)\/(2\/8). Solve -g + l = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009*2.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5 - 5 + 45*d**2. Let w(y) = -y**3 - 5*y**2 + 7*y + 6. Let h be w(-6). Let r(i) = -8*i**2 + h*i**2 + 9*i**2. Give v(r(s)).\nAnswer: 45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 2 + 0*w - 9 + 0*w. What are the prime factors of c(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26065*n - 8666*n - 8639*n - 8748*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2629311*q**4 - 34*q**2 - 5760*q wrt q.\nAnswer: -63103464*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 110067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1104 - -677. Let a = 25 + y. Let x = -188 - a. List the prime factors of x.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -486435 and 0.3.\nAnswer: -145930.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 3\/4, 3 in descending order.\nAnswer: 8, 3, 3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)\/i*i\/i**3*i**(1\/2)\/(i\/i**(3\/2)) assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4035583 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000841649 rounded to five decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1307293155 to the nearest integer?\nAnswer: 36157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 3:44 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550 - 462. Calculate the lowest common multiple of k and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 20 = -54*f. Let u be (-3)\/(-2 + (5 - (2 - f))). Solve u*q - 16 = 4*b + q, 2*b = -3*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*l + 6 = 0, -34 = -3*f + 4*l - 0*l. Let o be 2\/4*f - -209997. Round o to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10658*z = 5128*z + 4912*z - 73542 for z.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794292394?\nAnswer: 2, 897146197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 19 - (-16 - -7)) + (-3 - (-64 + -7)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 260 (b) -0.4 (c) 1\/10 (d) -0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2213 - 2209. Suppose 0*g = -g. Solve -n*t - t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31533 and 69007?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*z**4 + 17*z**3 + 16*z**2 - 68*z + 6979535 wrt z.\nAnswer: -56*z**3 + 51*z**2 + 32*z - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, -19, 3, -8 in decreasing order.\nAnswer: 3, 1, -8, -19, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -24. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 0.3 (c) -2\/4249245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27007, -318, 4 in increasing order.\nAnswer: -27007, -318, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 - 1. Suppose -2*b - 16 = -4*c, 16 + 7 = 3*c + 4*b. Suppose 5*f + 0 + c = 0. Let x(z) = 5*z**3 - 4*z**2 + 4. Give f*x(j) - 4*k(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2529 and 4491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 3) to base 16.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 - 35*a - 790. What is the hundreds digit of n(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133660 = 27*a - 59471. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141557, 141550, 141543, 141536, 141529, 141522?\nAnswer: 141515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -3 - v + 0*v**3 + 0*v**2 - 1\/2*v**4. Find the first derivative of o(j) wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 7*x = 261. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547 = 30*v - 29*v. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-94662*j - 218474*j + 235940*j) as r*j + i and give r.\nAnswer: 77196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3) + 2 + sqrt(3) + (-1*sqrt(3) + -4 - sqrt(3)))**2 - -3*(sqrt(6912) + -2)**2.\nAnswer: -576*sqrt(3) + 20797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1399765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7930420.\nAnswer: 2, 5, 31, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045955732 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.640459ns to seconds.\nAnswer: 0.000000002640459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*m + 27*m + 30*m + 174*m**3 to i*m + v*m**2 + j*m**3 + t and give j.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 111*i**2 + 5885*i + 117. What is v(-53)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 142, 212, 282, 352?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2754 and 216138?\nAnswer: 5835726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a + 3. Let q = -5 + 18. Let i(c) = 17*c - 6. Suppose 0 = -3*k + 2*g + 26, -2*g = -7*k + 10*k - 10. What is k*i(x) + q*u(x)?\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.5. Let r = -178\/225 - 2\/225. What is the second biggest value in r, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 7 + 17 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23904154 + -20?\nAnswer: 23904134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-3))\/(-1))\/((-32)\/(-32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 778.66 and 825.93.\nAnswer: 1604.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 15) to base 14\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86024069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o. Let z(g) = -18*g**3 + 2*g**2 + 2*g + 19. Let k(h) = 2*r(h) - z(h). Find the first derivative of k(c) wrt c.\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8889*h + 106 = -8947*h - 532 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/15 + 5)*3*1. Solve 0 = -b - u - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h**3)**7*(h**(-1\/5)*h\/(h**(-1)\/h*h*h))\/(h**1*h)**28 assuming h is positive.\nAnswer: h**(-556\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234444508 a multiple of 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 + -267. Let s = -123 - y. What is the remainder when s is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125360 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: Express (-5*u**2 + 2*u**2 + u**2)*(u - 3*u - 2*u) - 41*u**2 + 41*u**2 + 11*u**3 + u**3 - 3*u**3 + 4*u**3 as y + f*u**3 + t*u**2 + q*u and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7157, -7893, -9117, -10829, -13029, -15717?\n\"Answer: -244*i**2 - 4*i - 6909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173792759 a multiple of 2689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n - 74. Let a be q(8). Let z(g) = 38*g**2 + g - 8. What are the prime factors of z(a)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1\/6, 2, -0.3 in increasing order.\nAnswer: -0.3, 1\/6, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -179 - 27. Let m = -15562 + 248893\/16. Calculate the common denominator of m and a\/20 + 1 - -2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + y + 3. Let o(p) = 28*p**3 - 104*p + 28. Let c = 790 - 800. Let r(q) = c*i(q) + o(q). Find the second derivative of r(x) wrt x.\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 20. Solve 2 = 5*n + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-11*(-20)\/330). Solve 56*z + s*n = 54*z + 6, -2*n = 3*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgy when three letters picked without replacement from kkrkgyykrkykkgkkykr?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*c = -2*x - 4, 3*x = 2*c - 12. Let u be x\/(-14)*(-70)\/(-15). Factor -u*d**3 + 1\/3 + 2*d**2 + 1\/3*d**4 - 4\/3*d.\nAnswer: (d - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 11 + 5 + 0*r.\nAnswer: -r + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 604910767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -516 + 850. Let p = q - 2334\/7. Which is the second biggest value? (a) 1 (b) 1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1781, -3645, -5495, -7325, -9129, -10901, -12635, -14325?\nAnswer: -15965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21434 + 10342?\nAnswer: 32220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.5 + 13. Let v = -1.3 - o. Let t = v + 2.2. What is the closest to 2 in t, 4, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 3:35 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 190, -4, 2 in increasing order.\nAnswer: -4, 2, 3, 6, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 43 = -509*j + 507*j + 4*x, j + x - 18 = -0*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 23. Suppose 20*b - 13*b - 73*b = -462. Let r(f) = -2*f + 11. Determine b*r(i) + 3*z(i).\nAnswer: -2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 6) to base 7.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - (-6 - (-18907)\/(-2)). Let p = m - 3880. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l. Suppose -2*d + l*d + 7 = -g, -5*d = -3*g - 16. Suppose -m + r - 141 = 156, -g*m = -r + 897. What is m rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -655 divided by 775851\nAnswer: -655\/775851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7663864 divided by -64948\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151649.7744 - 151549. Let b = 0.4356 + g. Let z = -101 + b. Which is greater: z or -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76902*c**3 + 76866*c**3 - 153674*c**3.\nAnswer: 94*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.017 (b) -0.07 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15492569837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18910 times -4663\nAnswer: 88177330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 162.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63493733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.203 - -0.303. Let a be 6*1 + -9 + 5. Suppose -a*w - 10 = -7*w. What is the nearest to t in w, -11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 1 (c) -4 (d) -2\/3 (e) 0 (f) 31\/3 (g) 157\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1037296400 to the nearest integer?\nAnswer: 32207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6069?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-10)\/t**(3\/4)*t*t\/t**(-2\/37)*t**(-7) assuming t is positive.\nAnswer: t**(-2323\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g - 1. Let l(x) = 9*x - 1. Let t(a) = 5*c(a) - 4*l(a). What is the tens digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*z, -z - 8 = -s + 3*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 22*p + 78. Give t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - 59712\/(-1520)) + (-6)\/10?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/744 and 7\/1488.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962*g - 960*g = 0. Suppose -4*h + 24 + 48 = 0. Solve g = 3*n + h - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t - 13. Give r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8639, -36, -4, -1.\nAnswer: -36, -4, -1, 8639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.32 + 24.32. Let o = p + -24.2. Let r = -41 + 42. Which is the nearest to r? (a) 2 (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-20)*168\/(-606). Let v be (-62368)\/(-9090) - (-36)\/(-27). Let y = v + x. Find the common denominator of 99\/8 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-2)\/(-6))\/((-2)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-3*-2*(sqrt(34) + sqrt(306)))\/(sqrt(16)\/(sqrt(8) - sqrt(24)\/sqrt(3)*-3)) + 2)*2)**2.\nAnswer: -768*sqrt(17) + 626692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n. Suppose -4*i - 8 + 4 = n. Let s = 4 + i. Solve -3*x - 21 = 3*b, s*b - 2*x - x = 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -10\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -5 + 2440\/56 - 9\/(-21) and 377?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 195.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -91*o - 44. Let d be u(-4). What is the highest common factor of d and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 662577 + -389288. Let n = -273280.99972 + j. Let u = -8 + n. Round u to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -2 - (10 - 4). Let x be 0 - 2 - 68\/a. Suppose 12 = 3*m - x. Solve 2*j - m = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.43097 to two decimal places.\nAnswer: -21.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 75*c**2 - 2*c - 7. Let b(k) = 2*k**3 - 75*k**2 - 2*k - 6. Give -7*b(a) + 6*v(a).\nAnswer: -2*a**3 + 75*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -59 - (-1233 + 1293)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2609890.\nAnswer: 2, 5, 31, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-37 + 34)*(0 - (-4)\/(-3)). Suppose -z*t = -4*a + 8, 9 = -6*t + 3*t. Put 1, -18, a, -2 in ascending order.\nAnswer: -18, -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 + -235. Let s = 71.9 + p. Let d = s + -3.90000058. What is d rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -28. Let m be ((-31)\/(-3))\/((-2)\/w). What are the prime factors of m\/(-6) - 4\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/3 + 946*j\/3 + 1585 = 0. Calculate j.\nAnswer: -5, 951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcb when three letters picked without replacement from {c: 8, b: 8, h: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -842, -1269, -1700, -2135, -2574?\nAnswer: -3017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*g - 17 = 2*r, 4*g + 25 = -7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 7*y + 2*y)*(290*y**2 - 1116*y**2 - 700*y**2) - y**3 - 6 + 2*y**2 - y + 6.\nAnswer: 13733*y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/10)\/a*a\/(a*a*a\/(((a\/a**(2\/15))\/a)\/a)))**(-2\/39) assuming a is positive.\nAnswer: a**(121\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a + 3*m, 3*a + m - 19 = 3. Let f(r) be the first derivative of -130 + 1\/2*r**2 - 10*r. Give f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158648411*b**3*g**2 - b**3*g - 4*b - 1563892*g - 3 wrt g.\nAnswer: 317296822*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 20*v**2 - 566*v\/9 - 248\/3.\nAnswer: 2*(v - 4)*(v + 1)*(v + 93)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -919 or -909?\nAnswer: -909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/7871173 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16325*m**4 - 23721?\nAnswer: 65300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -8467864\nAnswer: 1016143.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 63. Suppose 9*w - 64 = h*w. Let u = -8 - -17. What is the remainder when w is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*c + 98*c = 4104 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 119331398 to the power of 1\/3, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1343 - -54?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*a + 50 = 34, -3 = 5*q - 17*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-868)\/196)\/((-7)\/(-49)))\/(5*5\/25)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 162 + 1378 = 0. Calculate the highest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8924 or 8925?\nAnswer: 8925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.461, 1, 3, -0.1?\nAnswer: 0.461","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2643 + -901. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 64*k**2 + 1363*k + 1138. Calculate l(81).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4\/3 + 5075*u**3\/3 + 467705*u**2 + 19051935*u.\nAnswer: 5*u*(u + 49)*(u + 483)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 - 33*a + 62. Let n be o(0). Solve -397*q + n = -366*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -2)*(-12)\/(-10). Let i be n*(-4)\/(-16)*32000. What is i rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2. Let k be (2\/6)\/1*6. Suppose 2*h + 3*n = -4, -3*h - k = -2*n - 9. Let b(j) = -2*j**3 - 6*j**2 - 2. What is h*b(l) - 4*q(l)?\nAnswer: -2*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 64618?\nAnswer: -64617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*9\/(225\/(-10)). Let q be (4 + 72\/(-16))*t\/1. Calculate the remainder when (-2)\/(-1) + (20 - q) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:14 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2702 and 277298?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/32627 and 13\/4256?\nAnswer: 19837216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -289601.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149282.\nAnswer: 2, 7, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by 68.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48743581 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 6*c**2 + c - 5. Give z(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1078344 and -139\/4582962?\nAnswer: 18331848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2408 times -6392\nAnswer: 15391936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-470))\/(-2*(-3)\/90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 384 or 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -11001001010?\nAnswer: -11001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (5 - (-9 + 11))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 - 221 = -16*a. Solve 5*n = 3*w + 3*n - 1, 4*w = -4*n - a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 + 246. Let g = 59 - j. Let h = 40.000005 + g. What is h rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -99. Does 4 divide (q\/15)\/(-7) + 177\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, -2\/5, -1, -2\/15?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65817 is divided by 5964?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 399\/27 - 8\/(-36). Suppose -h + 37 = -83. What is the highest common factor of h and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 277800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-182)*497)\/(150\/100)\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -350*h + 345*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5825661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 27*v**2 - 427*v - 12106. What is h(-30)?\nAnswer: -1996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317*x**3 + 186*x**2?\nAnswer: 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v**2 - 96*v + 311. Determine t(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1365378*-1\nAnswer: -0.1365378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 7*w - 7*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/60 - u**4\/6 - 11*u**3\/6 - 235*u**2. What is c(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -4, 8, -6\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:16 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 774655?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/192 and 61\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 36, 25, 14, 3?\n\"Answer: -11*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6338*r**3 - 10*r**2 + 30*r - 2. Let l be k(21). Round l to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1437544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-24)\/21 - 2. Put i, -1.2, -1 in descending order.\nAnswer: i, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (-130398)\/(-9) + 4 - 86\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665589725 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 381*j + 2290. Let z be r(-6). Solve -33 + 5 = -z*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 6 = 12*q. Let k = 0 + 0. Suppose -q*z + 6*z = k. What is the nearest to -0.1 in 2, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/585 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(6\/7)\/a)\/a)\/a*a**22*a**(3\/8)*a**(-3\/13))**(-2\/141) assuming a is positive.\nAnswer: a**(-14561\/51324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6954\/(-228))\/((-7)\/49*7)?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 97*w - 99*w - 2, 0 = l - w + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3935 or -145638\/37?\nAnswer: -145638\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (490\/35)\/(1 - -1). Solve 4*j = -o*y + 5*y, 4*j = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85536479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*w + 949 + 108*w - 79*w to the form f + s*w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 4*k = 33, 21 = 3*s - 3*k. Let o be 2\/s + 8\/(-20). Let z = 4 + o. Solve 2*b + 17 = -5*n - 0*b, z*b + 9 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - 0.11. Let i = -3.15 - s. What is the closest to -0.1 in 3\/2, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -10, 0*j + 10833 = 4*j + 3*s. Suppose -4885 = -4*y - 5*t + j, 9445 = 5*y - 4*t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let x be j(3). Suppose x*y + 3*i + 66 = 0, 3*y + 131 = -2*y + i. What is the tens digit of 9\/y + 140\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 10233?\nAnswer: -10241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 6, e: 3, y: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45048960 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946568182?\nAnswer: 2, 7, 19, 72623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*(h*h**(-1\/2)*h)\/h*h))**(-43)\/(h**(1\/4))**(-10))\/(((h\/((h*h**0*h)\/h))\/h)**(14\/9)*(h**2*h)\/((h*h\/(h*(h*h**0)\/h))\/h*h)) assuming h is positive.\nAnswer: h**(1373\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -620 + 311 - z + 308. Let s(g) = 3*g + 7. Give 6*j(v) + s(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 - 8*n + 5. Let y be l(-8). Sort 2, 4, y in increasing order.\nAnswer: 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42911883 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -25449?\nAnswer: 25451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x, -5*l - 1489*x - 1 = -1491*x. Which is greater: -43\/35 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/120 + 221*t**5\/30 - 4033*t**4\/2 - 16428*t**3 - 6*t**2 + t + 228. Factor d(z).\nAnswer: -(z - 222)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 3 + -1*6. Let s = d - -23. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 6*p + 2*p)*(-71 - 11 + 5) + 4*p - 4*p - 3*p.\nAnswer: 74*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/3 - 7*c**2\/2 - 5*c. Let s be 228\/9 - (-1)\/(-3). Suppose -s = -d - 4*d. What is i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*y - 164*y + 112*y + 115*y + 328*y.\nAnswer: 653*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from ptjotktptpjo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 588 + -581. What is the remainder when 229 is divided by b\/14*-2*-13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-48))\/(((-2)\/4)\/((-60)\/140)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*k - 6*l, -4*l + 926 = -5*k + 905 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-31 + 12 + 11)) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = s - 0*s. Let n be 40000\/(-3)*s\/(-2). What is n rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9667074 and 6.\nAnswer: 9667074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 + 17*l - 4. Calculate z(-4).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -639 or 1?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*v + 0*v + 0*v)*(-3 - 2 + 4) + (-1 + 4 - 1)*(-v + v + 2*v) in the form j*v + r and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 108*b - 1866. Is 89 a factor of d(42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(425) + 1) - -1*sqrt(425)*1 - ((-4*(-2 + sqrt(425)))**2 + (-5*sqrt(425)*3)**2).\nAnswer: -102493 + 305*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1 + 0)*801\/(-356).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, 23\/174, 0.929?\nAnswer: 23\/174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.00025 + 13. What is s rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 4, -7, -3, -5, 245 in descending order.\nAnswer: 245, 12, 4, 0, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/19 - 8*k**4\/19 + 118*k**3\/19 - 356*k**2\/19 + 424*k\/19 - 176\/19 = 0. What is k?\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbmt when four letters picked without replacement from {t: 2, b: 8, m: 2}?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-108)\/81*3\/4) + 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 2280186352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 22*l - 55. Let b = 2 - -2. Calculate the least common multiple of b and c(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -13*b**3\/3 + 5351. Let u(y) = 0*y**2 + 2*y**2 - 10*y**2. Give u(w(r)).\nAnswer: -1352*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 237.\nAnswer: -1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -4\/11, 2\/101, -3, 2569?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**7\/t))\/t**(-2\/3))\/((t**(-1\/6)*t)\/(t*t\/t**(-2\/9))) assuming t is positive.\nAnswer: t**(-53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 25 + 21 - -41\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.09 + 26443409.\nAnswer: 26443406.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 40 = 11. Calculate the remainder when 48 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.6 + 16. Let m be 4\/14 + (-14)\/49. Which is the third biggest value? (a) -4 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/(-63)*(-2520)\/(-540) + -9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3688.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 2832?\nAnswer: 11328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 138 = 61*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 w when four letters picked without replacement from wewwewwwwwwe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 333501 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-212*w + 400*w - 269*w)*(-2*w**3 - w + w).\nAnswer: 162*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.6. Suppose -38 = -0*k + k - 5*m, 62 = -2*k - 4*m. Sort n, 2, k, -0.1 in increasing order.\nAnswer: k, n, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)\/(n**(-2)*n))\/(n*n**(1\/3))**(-42) assuming n is positive.\nAnswer: n**(231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4364 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - 1445\/25 - -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2526 + 4044452?\nAnswer: 4041623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -744*c**2 - c. Let l be q(3). Let j = l + 73640\/11. Calculate the common denominator of j and -5\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let t be j(0). Let s = t + 8. Suppose -5*l = 2*d - 1, d + 2*l + 5 = 2*d. Solve -d*w = -s*w + 5*p + 30, 5*p = 2*w - 27 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 699*u + 2751*u + 2353*u**2 + 364*u + 1824*u**2 wrt u.\nAnswer: 8354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 9*d**2 + 16*d - 11\/6*d**3 + 0. What is the derivative of u(l) wrt l?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 18*s - 1412. What is the tens digit of j(-65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5979 - 164 - 1511*h + 1512*h as m*h + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 10 + 5. Suppose 8*b + 3*z + 237 = 11*b, -2*b + 151 = w*z. Let f = b - 77. Put -1, 2, f, -5 in ascending order.\nAnswer: -5, -1, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k - 101*k + 682*k.\nAnswer: 600*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108851 or -5\/308?\nAnswer: 108851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -37*y + 712. List the prime factors of a(-5).\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by 135\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - 2*g + 2*g)*(-3*g + 2*g + 0*g) - 29*g - 18*g**3 + 29*g to the form r + u*g + v*g**2 + w*g**3 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -361.18 + 367. What is l rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14942*b*c**4 - 9*b*c**3 + 7*b*c**2 - 2*b - 2*c**4 + 89*c**2 + 26 wrt c?\nAnswer: -358608*b*c - 54*b - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 15 = 5*w. Suppose -4*m = -m + 3*y - 12, w*m - 16 = -4*y. Solve m = -r + 3*k + 5, 5*r - 4 - 4 = -2*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/6 + -7\/2. What is the biggest value in x, 10, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r*r\/(r\/(r\/(r\/r**(-5)))))\/r)*r)\/r**(3\/7))\/((r\/r**5*r)\/r**1) assuming r is positive.\nAnswer: r**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*u - 4, 104*u = 109*u + 7*r - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 18 = 3. Let v = -3 - -6. Calculate the lowest common multiple of (v\/2)\/(c\/(-4)) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 506 - 503. Suppose 9*m + 3955 = 14*m - 5*i, -s*m = i - 2357. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*c**3 - 161*c**2 - 2*c - 30891 wrt c.\nAnswer: -108*c**2 - 322*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -18.186 and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 2:19 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29034 - 28910. Which is smaller: 3\/26 or v?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 221.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8127816.7 to the nearest 100000.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 5. Solve 0 = a + 2*a - v + 5, b = a + 5*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, 1, 0.4, -1 in decreasing order.\nAnswer: 27, 1, 0.4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 17*k**2 + 2*k. Let o(z) = -z**2 - 6*z + 21. Let d be o(-8). What is the smallest common multiple of 55 and y(d)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = -3*z + 24*s + 1924, -3*z - 3*s = -1926. Suppose 0 = -2*i - 3*f + z, 3*i - 983 = 3*f - 23. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 3*a**2 - 4*a + 1. Let t be s(4). Let l be 18\/20 + -2 + t. Let j = 942\/13 + -1845\/26. What is the closest to -1\/3 in l, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 928182, 1856396, 2784610, 3712824?\nAnswer: 4641038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 244*o - 1461. What is w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Suppose 3*v + j*v - 102 = 0. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28452616397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:15 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16047 times 0.25?\nAnswer: -4011.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrqrrqrqqqrrrqqrrq. What is prob of picking 1 r and 2 q?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.8. Let f be (15\/195)\/((-1)\/2). Which is the closest to 0.1? (a) -3\/4 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 8*g - 24 + 8*g. Let a be m(-10). What is the tens digit of 57 - 0\/(a + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 27*h**4 - 1617039*h**3 - 26957859*h**2 - 17432889*h - 2875536 = 0.\nAnswer: -16, -1\/3, 59907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 4\/7*i + 1\/14*i**4 + 6 + 0*i**3 - 3\/7*i**2. Solve j(r) = 0 for r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 7, 5, -3.\nAnswer: -3, 5, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 9. Suppose -2*f = -5*d - 21, -2*f + 17 = x*d + 4. Let j = f + -5. Solve j*g + 3*i = g + 2, -2*g - 5*i = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11246*p**2 - 15591945*p + 15591945*p to v + d*p + l*p**2 and give l.\nAnswer: -11246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -32368485 < -32368485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -242, -244 in descending order.\nAnswer: 3, -242, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 38 = 3*g. Suppose -y + 20 = 3*y. Let w be (-18 - -15)*y\/(-1). What is the highest common factor of g and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 + -159.7. Round i to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + (sqrt(1584) - ((-1*sqrt(1584) - sqrt(1584) - sqrt(1584)) + -4))**2 + -1.\nAnswer: 396*sqrt(11) + 25359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9068.6238 rounded to the nearest one hundred?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46200?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-1))\/((-144)\/(-1357704)).\nAnswer: 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-6)\/12*-1*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19951 is divided by 109.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 7*n**4\/2 - 116*n**3\/3 - 4*n**2 + 8*n + 6129. Let p(a) = -9*a**3 + 77*a**2 + 5*a - 5. Calculate 5*m(t) + 8*p(t).\nAnswer: -2*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.8612l to millilitres.\nAnswer: 16861.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 584145 - 89145 = 0. What is w rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 7*p + 5. Let j be y(-2). Let d be (-3 + 0)\/(j*1\/1). Suppose -7600000 = h + d*h. What is h rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(((sqrt(7) + sqrt(448))*4 - sqrt(7)) + sqrt(7)))**2.\nAnswer: 17\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**4 - 2*y**4 - 10*y**4 + 51*y**2 + (-4*y + 4*y + 3*y)*(2*y**3 - 3*y**3 + 3*y**3) to the form j*y**3 + o*y**2 + i*y**4 + h + n*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/(n\/n**(-2\/21)))\/(n\/n**(3\/5)*n\/(n*n**(-1)*n*n*n*n))*(n**(1\/4)\/n)**(-24)\/((n\/(n**6\/n))\/n*n\/(n*n**(1\/7)*n)*n) assuming n is positive.\nAnswer: n**(2063\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) - (-16)\/6. Let b be 12\/(2 + 2) - (0 + 4). Is b bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 4*v**2 - 21. Let o(m) = -2*m**3 + 9*m**2 + 42. Let z be (190\/133)\/((-5)\/(-14)). Give z*o(x) + 9*k(x).\nAnswer: x**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 + 2*q**2 + 2*q - 9. Let j(n) = 9*n**3 - 3*n**2 - 4*n + 17. Let o(d) = -6*j(d) - 11*z(d). Calculate o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5 - d)*(-3*d + d + 0*d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 6*c**2 - 13*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/5)\/((r*r**(1\/21))\/r) assuming r is positive.\nAnswer: r**(37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00393987661 rounded to seven dps?\nAnswer: -0.0039399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:35 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29378528 divided by -6.\nAnswer: 14689264\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h. Let t be r(1). Let j be (3 + 1)*t\/4. Let k(f) = -2*f**3 + 30*f**2 - 28*f + 9. Let z be k(14). Solve -z = j*u - 3*v, -3*v = -u - 0 - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 + 4*s - 11. Let q(u) = -u**2 - u + 3. Let f be q(0). Let x be r(f). What is the units digit of (-7 - (-329)\/28)\/(x\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32\/7, -0.3, -2\/19, 0.128, -3 in decreasing order.\nAnswer: 32\/7, 0.128, -2\/19, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11422 - 1?\nAnswer: 11421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001597922 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 21 - 24 + 2*p**2 + 43 in the form f + d*p + j*p**2 + x*p**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1144 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/126*-18*(35\/(-75))\/(-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5071?\nAnswer: 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2443 - -2442.9. Let f be (2 + -3 - 0)*0. Suppose f = -3*u + u - 4. Sort q, 0.06, u in increasing order.\nAnswer: u, q, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 3*r**2 + 4*r + 22. Give t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/44 + -2*42\/112.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(7488) + 1*sqrt(7488)))**2*-5 - (-2*(sqrt(7488) + 1*sqrt(7488)) - (sqrt(7488) + sqrt(7488) + 0 + -2 + sqrt(7488)))) + 3)*1.\nAnswer: -149759 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308025709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 312367965 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + h. Let a(t) = 4*t**3 - 11*t**2 - 3*t. Let k(m) = -a(m) - 3*u(m). Find the third derivative of k(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -6 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 23 + 3 = 0. Let t be (-12)\/30 - (-34)\/y. What is the units digit of t + -2 + (-16)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -14. Let i = j - -15. Let b = 2 - -1. Solve -i*p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2807790 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2227*y + 131423. Give p(-59).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 m when three letters picked without replacement from {a: 2, k: 1, m: 2, q: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7668766um to centimeters.\nAnswer: 0.00007668766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135118 is divided by 44954?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a kilometer in meters?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 - 57 = 11*b, 0 = 5*s + 4*b + 28. Solve 3*w - 24 + 21 = s, 2 = -x + 2*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*r - 3*u, u = -4*u - 20. Suppose -6*f + f + 100 = 0. Calculate the remainder when f is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*q - 31*q - 44*q + 16*q.\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -42963033 = -42963033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10064 - -10284. Calculate the remainder when y is divided by 117.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b = -4*l + 43, 11 = -58*b + 56*b + 3*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*t + 44 = 0, 2*f - 2*t = 3 - 1. What is g in -9\/2*g**4 + 15\/2*g**3 + 9\/2*g**2 - f*g**5 - 3\/2*g + 0 = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/2 - 7*a**2\/2 + 5*a + 8 = 0?\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 214877212 divided by 2?\nAnswer: 107438606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 514*z**2\/7 - 1032*z\/7 + 8\/7.\nAnswer: 2*(z - 2)*(257*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3350 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -35*h**2\/3 - 5*h\/3 + 10 = 0.\nAnswer: -1, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/376 and -69\/295160.\nAnswer: 295160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190 - 140 = 7*o. Let s = o - 150. Solve h - 5*p + 2*p + 3 = s, 15 = -5*h + 4*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 11*y + 70. Let d be l(9). Suppose 65*o = d*o + 1066. What is the remainder when o is divided by 77?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2110.2708 months?\nAnswer: 0.1758559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2829457 and 210799.\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - 8*a**3\/5 - 56*a**2\/5 - 64*a\/5.\nAnswer: 2*a*(a - 8)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 20*c**2. Suppose 3*a + 3*r = 5*a - 11, -5*r = -a + 16. Let t be q(a). Suppose 2*u = -2*u + t. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*v + 16, 125 = -5*g - 2*v + 117 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 873*t + 34040. Calculate a(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -259590.\nAnswer: -259590.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from {m: 6, h: 4, p: 3}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7874222, -7874217, -7874208, -7874195, -7874178?\n\"Answer: 2*x**2 - x - 7874223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68598222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y - 221*y + 11560 = 241*y for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-34)\/8 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1375 + 1236 = 3*q - 2*r, 0 = r - 4. What is q rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**1*l)*l\/(l*l**8*l)*(l*l**8*l)**(5\/4))**(-1) assuming l is positive.\nAnswer: l**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/72800 and -121\/820.\nAnswer: 2984800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 90 + 50 = 0. Let m be p\/(-76) - (-61)\/(-38). Which is the second biggest value? (a) m (b) 0.2 (c) 1 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 618870.78us?\nAnswer: 0.00000716285625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(-3*b - b + 15*b) + 14 + 2*b + 12 + 16)*(0 - 2 + 0).\nAnswer: 40*b - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 861571 = 467705. List the prime factors of v.\nAnswer: 3, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in -11.4, -5\/3, 1\/4, 1, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, z: 3, q: 2, l: 1, j: 2, c: 1}. Give prob of sequence rrz.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389 - -4843.\nAnswer: 5232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let o(z) = -z. Let l(g) = 12*g. Let t(p) = -l(p) - 8*o(p). What is -24*n(x) - 5*t(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 24543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 20 - 280 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:23 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = -214*c + 35*c + 5916 + 10296 for c.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) 5 (c) 2\/13 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 282. Let d(u) = -22*u. What is d(c(z))?\nAnswer: -44*z + 6204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 502962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163475172*k**2 + 24*k**3 - 163475172*k**2.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 2, a: 4, w: 8}. What is prob of picking 1 w and 2 i?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 78 - 87 - (-92 + (-8 + 9 - (4 - -3)))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -270*p**5 + 48*p + 2?\nAnswer: -5400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 + s**2 - s**2)*((-5*s + 2*s + 2*s)*(-4*s + 4*s + 2*s) + 946 - 2*s**2 - 11*s - 946) to the form v*s + x*s**4 + w*s**3 + q + o*s**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 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: Let t = -280 - -282. Suppose -t*x = 10 - 8, 5*w = -4*x + 2621. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + 5*b**2 + 2 + b**2 - 3*b + 5*b**2 to m*b + p + h*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 26*m. Let q(x) = 19305*x**2 + 669240*x. Let f(i) = q(i) - 25740*u(i). Let y(h) = 2*h. Determine y(f(d)).\nAnswer: -12870*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**5*s)\/s))\/(s\/s**(-10)))\/(s*s**(-9)\/s)**3)**(-33) assuming s is positive.\nAnswer: s**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**2\/3 - 7846*p\/3 + 1256\/3.\nAnswer: -(p + 314)*(25*p - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945400 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*((q\/((q**(-11)\/q*q)\/q))\/q)\/q*q*q**(-2)*(q**(-3))**18 assuming q is positive.\nAnswer: q**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 1494*a**2 - 13665*a + 12168.\nAnswer: 3*(a - 8)*(a - 1)*(a + 507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8130 divided by -35\nAnswer: 1626\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 43047486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + f - 4*r + 128, 0 = -5*r - 10. What is the remainder when f is divided by 8 - ((-216)\/(-18) + -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-5)\/90*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/49 (b) -0.3 (c) -1463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 635 + -560. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188982 times 34?\nAnswer: 142425388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -35879?\nAnswer: 195\/35879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 + 0 = 0. Let y be (-4)\/10 + 81\/k. Factor 2*t**3 - y + 2*t**5 + 5 - 4*t**4.\nAnswer: 2*t**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mommmmymymmcoomyy.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6 + 406\/140)*(-15)\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2602134498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -6.4, -2\/7 in increasing order.\nAnswer: -6.4, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -164415.3 rounded to the nearest 1000?\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 27 = -3*u + 2*u, 4*k + 39 = 5*u. Let q be 1\/(-15) - k\/15. Which is the third smallest value? (a) -2\/3 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -13. Let o be 255\/12 + 9\/12. Let z = q + o. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/15*(-45)\/36). Suppose 20 = 4*r + 4*c, 0*c = 3*r + o*c - 16. Solve -4*k = -4*v + r - 32, 15 = -3*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 - 44*l**2 + 59*l**2)*(-2*l**2 - 4*l**2 + 4*l**2) as f + k*l**4 + w*l**2 + o*l**3 + u*l and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 391880*y. Let w(r) = r. Calculate k(w(f)).\nAnswer: 391880*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -7730158 and -7730172 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 = 7*d. Let f = 8 - d. What is the third derivative of -3*v**2 - f*v**4 + 6*v**2 + 4*v**2 wrt v?\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (7 + -4 - 3791). Let n = 34066\/9 + d. What is the common denominator of -64\/15 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 2:51 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 4725 = -18959. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - 2. Which is greater: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6378 + 6381. Which is the biggest value? (a) -5 (b) 2 (c) -20 (d) x (e) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*m - 44 = 0, 0*r - r - 5*m + 11 = 0. Put 17, r, 4 in ascending order.\nAnswer: 4, r, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {z: 1, a: 1, d: 11, c: 4, g: 1, l: 1}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -236*m**3 + 79*m**2 + 355*m - 24. Does 12 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (11 - 5) - -1) + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 60. Let k = 92.00122 - z. What is k rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*s - 5, 103*y = 100*y - 3*s + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 104*w = -108*w - 9, 5*f - 4*w = -21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 90 = -21*f. What is the remainder when 69 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = -140. What is the units digit of r - -4*(2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2771428 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 730?\nAnswer: 28470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m\/m**(1\/2))\/((m**3*m)\/(m\/(m**(-8)\/m)))*(m**(2\/9))**(4\/9)\/(m**0\/m**(-5)) assuming m is positive.\nAnswer: m**(259\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24579329*f*s - 15540834*f with respect to s.\nAnswer: -24579329*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-119)\/(-14) + -9)*3\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -1152.\nAnswer: 11\/384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1925*b + 26482 - 5307 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30102 (base 5) to base 14\nAnswer: -99c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 25. Suppose 0 = l*d - 24 - 3. Suppose -334 = -d*x - 5*w, -3*x - w = -6*x + 322. 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: What is the distance between -11840381651 and -22.2?\nAnswer: 11840381628.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65434524 divided by -716.\nAnswer: -91389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*a + 3*a + 15, 4*a = -x + 102. Solve 0 = 3*y + 3*u + 18, 5*y - 5*u + a = -9*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 11 + 14. Suppose -t + 1 + c = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3151 + 538?\nAnswer: 3689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 + -18.33. Let f = i - -20. What is the biggest value in -8, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 11}. What is prob of sequence ddde?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -118376.67 plus 0.0018?\nAnswer: -118376.6682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66643*m**3*u + 8620*m**3 wrt u.\nAnswer: 66643*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*k**5 + 2*h*k**4 - 2*h*k + 102*h + 11*k**3 + 6 wrt k?\nAnswer: -40*h*k**3 + 24*h*k**2 + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504042 is divided by 10078.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*x + x - 10416, x = -g + 5211. Suppose -g = -15*v + 9*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750206 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-30)\/(-9))\/1)\/(14\/(-21)). Let d be (v + 4 - (-9)\/3)*-2. Let u(j) = -j**3 - 4*j**2 + j + 5. What is u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 508, -4, -356 in descending order.\nAnswer: 508, -4, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 155 + 23*y**2 - 155. Let q(h) = h**3 - 7*h**2 + 7*h - 4. Let g be q(6). Let z(j) = -17*j + 17*j + g*j**2. What is t(z(k))?\nAnswer: 92*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 3, 6, -6 in decreasing order.\nAnswer: 6, 3, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 + 1776*g**3 - 6*g**2 - 5324*g + 3552 = 0 for g.\nAnswer: -888, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i - 6. Is i at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110001000 + -1010101110?\nAnswer: 11011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61761 + -24814. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**3\/2 - 2*r**2 + 14*r. Determine k(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 + 6*h + 2. Let p = -9 - -15. Let f be s(p). Suppose -m - 80 = -2*o, o - 40 = -f*m + 4*m. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(125)*2 + -3 + (sqrt(125)*-2 - sqrt(125))*-5)*3 + -4))**2.\nAnswer: -1672800*sqrt(5) + 130076896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 11. Let f be n(-8). What is the second derivative of 0*h + f*h + 3*h**4 - 4*h**4 - h**4 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -5*p - 2*j, 0 = 5*p + 1571*j - 1574*j - 177. Let d(g) = 2*g**3 - 79*g**2 + 34*g + 187. What is d(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1943 and 160283?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p + 3*p - 5*p + 0*p - 3*p + p + 3*p + 2*p - 6*p + (-2*p - 2*p + 6*p)*(3 - 3 + 2) + (13 + 69 + 131)*(-5*p + 0*p + 3*p).\nAnswer: -424*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 960.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -81*y**3 + 25*y**2 - 57*y + 15. Let m(d) = 163*d**3 - 50*d**2 + 114*d - 32. Let o(g) = -13*a(g) - 6*m(g). What are the prime factors of o(3)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 19859 (b) 7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5070 divided by -1690.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/32797244 and -91\/8?\nAnswer: 65594488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (728\/(-70))\/(-26)*6\/((-84)\/(-49)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54292.81369 rounded to the nearest integer?\nAnswer: 54293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -4857, 5.\nAnswer: -4857, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -z + 48, -5*z + 5*w - 44 + 159 = 0. Is 28 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**2 + 0 - 1\/12*u**4 - 4*u + 1\/2*u**3. Factor y(o).\nAnswer: -(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 12*r**2 - r + 11. List the prime factors of a(9).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. Let f = 147 + -150.02. Let j = -0.02 - f. What is the second biggest value in k, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -12*a + 29. Let x be j(-7). Find the common denominator of 43\/12 and 2\/(-24)*(x - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128466800 divided by 2365.\nAnswer: -54320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - l)*(0*l - 2*l**2 + 0*l) - 3*l**3 + 9*l**3 + 4*l**3 + (-3*l + 2*l + 0*l)*(-2*l**2 - 4 + 4).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*f + 238 - 247 = 0, -2*f = -2*v + 6. Solve v*d = -3*b, -4*b = -2*b + d + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 - 39*h**2 - 261*h - 3566. What is t(-13)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2 + -2 - (-27 + 22). Let p = 84 - 85. Put -5, -2, p, w in descending order.\nAnswer: w, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 2*c - 2*c)*(8 + 1 - 1)*(1 + 0 + 1) to w + x*c and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.45964336 + -82?\nAnswer: -98.45964336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:01 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -36738?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*l - l + 51, 4 = -l. Let d = z - -35. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6. Let h be t + 2\/(-3) - -1. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-16 - -23)) + (-5 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f + 1164*f**2 - 2*f**3 + 10*f**3 - 1161*f**2 to the form h*f + x + v*f**2 + r*f**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 3.03. Let r = m + 5. Which is the second biggest value? (a) 5\/7 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1504 - -83.8796. Let r = 83.4891 - s. What is r rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6727818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27313 and 2575826.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -406164.8 rounded to the nearest one hundred?\nAnswer: -406200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + c650bc?\nAnswer: c650c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/4)\/(1\/64). What is the highest common divisor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/432 - 2\/(-27). Suppose f = -3*l + 5*s + 19, 3*s - 4 = 8. Solve 4*h - 2*q = -l + 3, 0 = 4*h + q + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -52*o**2 - 6*o + 4. Let b be s(-5). Suppose 4*j - b = 2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2458, 2654, 2840, 3010, 3158, 3278, 3364, 3410?\nAnswer: 3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6170*m**2 - 11*m - 1496. Let k(f) = 1234*f**2 + 2*f + 299. Let l(a) = -11*k(a) - 2*x(a). Find the first derivative of l(p) wrt p.\nAnswer: -2468*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*x + 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6*3 + -3. Let x(p) be the first derivative of 3*p**4\/4 + p + 2. What is x(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34160.32 kilograms in grams?\nAnswer: 34160320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(4\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.134437344 rounded to 2 dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1158? (a) -1\/5 (b) 3\/4 (c) -20\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 11*o - 3. Let s(w) be the second derivative of w**3\/6 + w**2\/2 - 6*w. Let g(n) = k(n) - 6*s(n). Is g(-12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/12 + 2585\/66. Let b = h - -212. List the prime factors of b.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/4 - 1403*f**2 - 6456677*f\/4 + 6467905\/2 = 0.\nAnswer: -3995, -1619, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 20*t**2 + 59*t + 537. Calculate the remainder when s(-8) is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a3c (base 16) in base 13?\nAnswer: 6a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 1\/4*y**4 + 1\/12*y**5 + 0*y + 0 - 3*y**2 + 0*y**3. Find the second derivative of q(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (128\/(-112))\/(2 - (-32)\/(-14)). Solve -y = -7*x + 45 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a - 36402?\nAnswer: -3642c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 + 4*t**3 - 21*t**2\/2 + 9*t.\nAnswer: -t*(t - 3)**2*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3381 = 17*m - 5731. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 5*u - 9. Suppose 5*d + w = 17, -4*w - 2 = -4*d + 26. What is a(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l - 34. Suppose 8 = 7*z + 78. What is the smallest common multiple of 48 and t(z)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.5434mm in nanometers?\nAnswer: 82543400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 2*q**3 + 8*q)*(3*q + q - q)*(-2*q + 3*q - 3*q).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Let s(o) be the second derivative of -5*o**4\/12 - 4*o. Determine n(s(r)).\nAnswer: 25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 24*g**2 - 7*g + 178. Give b(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191467 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 1. Let w(n) = 5*n**2 + 7*n. Let y(v) = -3*v**2 - 4*v. Let o(t) = 4*w(t) + 7*y(t). Let f = 10 + -13. Give f*o(k) + x(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(14\/5)*h\/(h*h**(5\/3)*h) assuming h is positive.\nAnswer: h**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138 + -138. Suppose 5*m - 5*a - 1660 = f, 4*a = -4*m - m + 1615. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = -10567 + 10827 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 451860767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t - 46*t + 18 = 0. Let c(x) = -2*x**2 + 2*x + 88. Let f(d) = -2*d**2 + d + 89. Let a(s) = t*c(s) + 4*f(s). Differentiate a(i) wrt i.\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j**2 + 244*j + 7. Calculate w(-2).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -a - 4*g, -2*g - 6 = -4*g. Suppose -2*s = -5*s + a. What is the remainder when s is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 2d1?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/45*5\/((-325)\/(-40)). Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 + 159*r - 1507. Calculate j(13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Suppose o*f - 10 = 22. Solve -z - 8 = -4*h + 6, -f = -h - 2*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 106*t**2 - 62*t - 238. What is the thousands digit of y(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k + 4. Let w(u) = -u**2 + 20 + 22 + u - 41. Let s(g) = -37*g**2 + 4*g - 13. Let h(y) = k*w(y) - s(y). Differentiate h(n) with respect to n.\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - d - 7 = 0, -6 = 2*m - 3*m - 4*d. What is the tens digit of (-896)\/(-10) - m\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19945 is divided by 2848.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:21 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150*i - 1046*i = 159016. What is the smallest common multiple of i and 834?\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10804, -21428, -31958, -42400, -52760, -63044, -73258?\n\"Answer: -f**3 + 53*f**2 - 10776*f - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p**2 - 3. Let l(h) = -2*h**2 + 10*h - 4. Let f be l(4). List the prime factors of w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12116753 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -76 - -107 - 41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = 3*r. Suppose -r*o = -o - 13. Calculate the remainder when 38 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/39, 1\/2, -14 in decreasing order.\nAnswer: 1\/2, -2\/39, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 + 560*r**4 - 16528*r**3 + 134392*r**2 - 221420*r + 103000 = 0. Calculate r.\nAnswer: 1, 10, 25, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 + 21*k. Let i(f) = -f**2. Determine x(i(j)).\nAnswer: -3*j**4 - 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-8 - 3) - -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 2 = -6*j + 14*j + 19, -41*n + 4*j - 2 = -39*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 812 in -3, -3618, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67890 * -1.02.\nAnswer: 69247.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -19.78. Let t = o + 1.22. Is t equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132609*n**5 - n**3 + 5*n**2 - 2*n + 18313.\nAnswer: -7956540*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 30 = 2*m. Let p be (-4)\/m + 14\/40. Let r = 2\/211 + -641\/844. Sort -4, r, p in increasing order.\nAnswer: -4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 125*v**2 - 3526*v - 9. What is b(-43)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4444 = 4*f, 29*r + 2221 = 30*r - f. Does 148 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 7 = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7100263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*c + 4*c + 0*c)*(-1189 + 587 - 502*c + 600) to p*c**2 + g*c + b and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p - 2216. Let r(m) = 6*m + 2175. What is -4*r(i) - 5*v(i)?\nAnswer: 6*i + 2380","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1128 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 10 (c) -3 (d) 2\/3 (e) -9905\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**3 - 14*q + 9. Let x(s) = -s**3 - s - 1. Calculate -b(m) - 6*x(m).\nAnswer: 2*m**3 + 20*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 760*l - 316166. Determine z(416).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -772409 and 0.04.\nAnswer: -30896.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c - 3. Let k be q(6). Suppose 422*z - 51 = 405*z. Solve -2*u - z*u = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x**2 - 27\/2*x - 3\/2*x**4 - 3\/2*x**5 + 15*x**3 - 27\/2 = 0. What is x?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 - 8 - 7)*(0*i + 4*i - i)*(-5 + 0 + 3) to a*i + o and give a.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 88*w**2 + 244*w - 77. Let g be o(-41). Sort 0, 3, 8, g, 1.\nAnswer: 0, 1, 3, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -3*r - 4, 7*w - 8*w + 2 = r. What is the least common multiple of 3360 and r?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/19)*x\/(x\/x**(2\/5)))\/(x**(1\/3)\/x**(6\/13)) assuming x is positive.\nAnswer: x**(1762\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.4, 1\/3, 0.0036, 2.8, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)*z**3)\/(z**0\/((z**(1\/8)*z)\/z)))\/(z**(-2)*(z\/(z*z\/z**(3\/5)))\/z*z**(-3)\/z**0) assuming z is positive.\nAnswer: z**(181\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 68. Let y be (-7*(-12)\/70)\/(2\/f). Solve y = -k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 1, a: 2, s: 2, c: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-6\/5)\/q)\/q)\/q**(-2\/5))\/(q*q**(-14)*q**(-1\/9)) assuming q is positive.\nAnswer: q**(464\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 355?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - 259. Is g at least as big as -312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vozzhnzhznnvnnevhhnz. Give prob of sequence nz.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a, 515 = 5*r + 7*a - 2*a. Suppose 5*y - y - 2*b = -78, -2*b - r = 5*y. What is the units digit of (-190)\/(-4)*y\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:34 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 56 = 5*p. Let h = 103 - 123. Let n = p - h. Sort 1, -2, -5, n in descending order.\nAnswer: 1, -2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103322000 rounded to the nearest 100000?\nAnswer: -103300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 195703907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/20 - 15\/(-2). Suppose 2*j - 4*v - p = 8, -3*j = -4*v - 15. Let c = j - -1. Solve -2*y + 18 = -3*o - o, -8 = -c*y - o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5187\/(-24206))\/((18\/(-8))\/(-3))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -46*x - 1207. Calculate b(-27).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 1 + 2. Let n(b) = b**2 - 2*b - 3. Let j be n(3). Solve j - q = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) + -8 + (-3388)\/33. What is q rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*4 + sqrt(3) + -3)**2 - sqrt(108)*-2.\nAnswer: -18*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 61*f - 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 4. Suppose 5*z - 10*b = -6*b - 11, 5*b = 3*z + 17. Calculate w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104715 and 209430?\nAnswer: 209430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5571317 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6.5. Let c = 0.1 + 0.3. Let b = 5 + -3. What is the nearest to -2\/7 in b, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 5:38 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*l + 15*n - 13*n, -3*n = -2*l - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 505*x**4\/4 + x**3\/3 - 1085*x**2\/2 - 2393. Find the second derivative of s(y) wrt y.\nAnswer: 3030*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -44. Let o(r) be the second derivative of -3*r**4\/4 - r**3\/6 + r**2 + 5*r. Let d be o(1). Which is bigger: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 24. Suppose 0 = 3*z - 6*z + c. Let r(n) be the first derivative of n**3\/3 - 3*n**2 + 6*n + 1. What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 192 = 12*q - 16*q - 3*q, -3*o - 5 = -q + 17 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 3*a**2 - 6*a + 1. Let u be n(2). Let h(v) = -u - 2 - 7 + 1 + 1 + 3*v. Let k(r) = -2*r**2. Calculate h(k(m)).\nAnswer: -6*m**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 0.11. Let m = f + 0.2. What is the third smallest value in m, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jki when three letters picked without replacement from kjiiizizfztjjjktfzj?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7623, 15217, 22811, 30405, 37999, 45593?\nAnswer: 53187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103002222 - 11?\nAnswer: -103002233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176.842 decades in centuries?\nAnswer: 617.6842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17 - -15) + (-5)\/(10\/(-4)). Let m be (-8)\/(-6)*-1 - -2. Factor 1\/3*t**3 + 1\/3*t - m*t**2 + x.\nAnswer: t*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 14*l**2 + l - 11. Calculate k(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 11:51 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -756, -758, -760?\n\"Answer: -2*f - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 797*t**2 - 5574*t - 31. What is h(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 50. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -7?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 16 = -2*j, 16*j - 12 = r + 19*j. Let q(f) be the second derivative of 1\/3*f**3 + 0*f**2 + 0 - r*f. Let x(c) = 2*c. What is q(x(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -73\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0704, 0, -0.5, 2\/2283.\nAnswer: -0.5, 0, 2\/2283, 0.0704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549023 divided by 4.\nAnswer: 549023\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:24 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*r - 4*r - 2*o, -1 = -o. Suppose r = -4*d - 3*n + 22, -n = -2*d + n + 18. Suppose -d + 2 = -5*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2332 and -7 + 2628\/372 + (-12360)\/26288?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 minus 202027.0633?\nAnswer: -201969.0633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/65 - -7\/65. Which is greater: o or -0.25?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i + 14 = -3*h, 5*h + 8 = i. Let d(s) = 3*s**3 + s**2 + 3*s + 1. What is d(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142495485*b**2*s + 63580*b*s + 2*s + 3 wrt b.\nAnswer: -284990970*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**2\/2 - 753*z + 1. Let m(j) = -2*j**2 - 2*j - 6. Give m(q) + 3*u(q).\nAnswer: -2*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8817656\/25 or 352706?\nAnswer: 8817656\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3467*a + 4953*a + 10912*a**2 - 1155*a wrt a?\nAnswer: 21824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1196 + 116886575\nAnswer: 116887771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) 1 (c) -1 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1588*f**3 - 3071*f**3 - 15*f**2 + 0*f**2 + 7*f**2 + 1484*f**3 + 8*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133228, -266454, -399692, -532942, -666204?\nAnswer: -799478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -5, 0.21.\nAnswer: -5, 0.09, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/3 + 10873*w**2\/3 - 30065231*w\/3 + 2758925495\/3 = 0. What is w?\nAnswer: 95, 5389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 - -1758879.8?\nAnswer: 1758879.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*(-192)\/252?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*g + 2*z - 19, -29 = -5*g - 2*z. What is the second biggest value in g, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -9828970\nAnswer: -29486910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14721, 32188, 49657, 67128, 84601?\nAnswer: 102076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -10 - (1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 + 0)*11\/(11\/29)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 0.4, 0.5, 0.51, 2.\nAnswer: -247, 0.4, 0.5, 0.51, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + 16. Suppose 5*p + 2 = 5*t - 3, 4*p + 22 = -2*t. Is l greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 8 + 2. Suppose -4*x - i*y + 16 = 0, 3*x = -0*y - 2*y + 12. Solve -2*t + x = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 5*i. Let g be d(-6). Suppose -4*k = -g*k + 10. Suppose -6*f + k*s + 55 = -f, -11 = -f + 5*s. Calculate the greatest common factor of f and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 2*y. Solve y = -5*v + 3*z + z - 10, 3*v - 4*z = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318 - -297. Put -0.3, z, -1 in increasing order.\nAnswer: z, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/60892 and -57\/20.\nAnswer: 304460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 22533*t - 90103. Determine z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3175 - 3175.06. Let i = -0.09 - 0.01. Which is the second smallest value? (a) -3 (b) t (c) i (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = s + 15, 4*s + 0*r + 4 = 2*r. Let g(p) = -5*p + 1. Let d be g(s). Let c(y) = -26 - 3*y + 4*y + 30. What is c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 4*c**2 - 5*c - 4. Let d(u) = u**2 - u. Give -5*d(v) + k(v).\nAnswer: -v**3 - v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:00 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 + 3*g**4 + 2*g**4 + (-g**2 + 4*g**2 - g**2)*(5*g**2 + g**2 - g - 4*g**2).\nAnswer: 7*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-5 - (6 + -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -2. Let y = b + 3. Let h be 0 - (-20)\/(y + 0). Solve -5*f + h = 0, 2*v - 5*f + 3*f = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15153.02 and 0.02?\nAnswer: 15153.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 961.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3519 - 26?\nAnswer: 34b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0245 + 34.9755. Which is the biggest value? (a) l (b) 0.07 (c) 3\/5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-345780)\/(-3528) + -58\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 88?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -32, -2, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 4. Let d(i) be the first derivative of i**2\/2 - 20*i - 5. Let w be d(17). List the prime factors of p(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25884 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-26))\/((-3)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -668 - -671. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280615701 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -33\/7, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 2\/5, 0.1, -4915?\nAnswer: -4915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-63))\/(((-112)\/7)\/(-8)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*q**2 + 229*q**2 + 14*q - 14*q + 218*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19975746169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*p**3 - 11285*p**2 - 8740*p + 2500.\nAnswer: -5*(p + 1)*(p + 250)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36c38 (base 13) in base 7?\nAnswer: -600200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:14 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/2731 - 226252\/630861. What is the common denominator of n and 5\/187?\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:54 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/964 + 3313\/241. Find the common denominator of a and 91\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 34. Suppose 0 = a*i + 273 - 779. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 5*j**5 - 2*j**5 - 5*j - 3*j**2 + 0*j**2 + 2*j**2 + 2*j**5 + (0 - 3 - 2)*(-j**5 - 2*j**4 + 2*j**4) + 2*j - 2*j**5 - 2*j.\nAnswer: 8*j**5 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -447, -1010, -1975, -3342?\n\"Answer: -201*d**2 + 40*d - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igii. What is prob of sequence gi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/11))**(2\/33)*k**(-1\/2)*k**(12\/5) assuming k is positive.\nAnswer: k**(7057\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187)*-3 - sqrt(187)) + sqrt(187))\/(sqrt(99)*-5).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n**3 + 24*n**3 - 35*n**3 + 226 - 117 - 111.\nAnswer: -48*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*w + 6, 2*y - 12 = -3*w - 2*y. Suppose -3*r = -w*r + 6. Which is the biggest value? (a) -0.6 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 42*x + 2. Solve -h - 4*n + 5*n - 1 = 0, -4*h = x*n + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 30*h**2 + 6 - 4*h + 24*h**2 + 27*h**2 - 67*h**2 to the form s*h**2 + c + l*h and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 12*p - 9. Let q be t(18). Calculate the greatest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:52 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 14606633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2669 and -2670 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*t + 46*t + 9. Suppose -j = t*v + 8944 + 8322, j - 2*v + 17256 = 0. What is j rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4474 + -4456.09. Let f = -17.9 + g. What is the fourth biggest value in -0.1, 2\/15, 2, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**11\/2328480 - y**9\/423360 + y**5\/60 + 2*y**2. Let z(f) be the third derivative of a(f). Determine s, given that z(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18393 + 90226\/5. Let h = v + 345. Is -4 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486735319 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7 and 9\/(-24)*1605\/(-585)?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*z + 47 - 47)*(2*z**3 + 4*z**2 + 2*z**2 - 5*z**2).\nAnswer: 94*z**4 + 47*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10 - 2 = 0. Suppose 0*m + 3*m + 4*z = -1608008, 0 = -v*m - 5*z - 1608010. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = -2*d. Suppose 19*p = d*p - 5. Solve -16 = -5*o + 9, -p*g - 20 = -o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) + 1\/(-1). Let g be n\/((6\/(-4))\/(-3)). Let k = 25 - 23. Solve -g*l - 5*m + 11 = 0, 0 = -2*l - l - k*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -898 divided by 2.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -53. Let q = a - 120. Let o = q + 44.00000169. What is o rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-1053)*6\/(-21).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1549099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 31*d**6\/60 + 115*d**3\/6 + 83*d**2 + 169. Let t(x) be the second derivative of f(x). Find the first derivative of t(c) wrt c.\nAnswer: 186*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21459 and 2553621?\nAnswer: 2553621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*g - 6*g - 7, 5*n - 3*g = -29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -78*n - 7. Let k(p) = -39*p - 4. Suppose 25 = 6774*v - 6769*v. Calculate v*k(b) - 3*l(b).\nAnswer: 39*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from {x: 12, s: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 - -162. Let d be (-186)\/4*q\/30. Which is smaller: d or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72564887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 238 - 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 2:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11837?\nAnswer: 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 20797027212391 and -0.09.\nAnswer: 20797027212390.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11290 and 4735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 671373791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4))\/sqrt(9) + -2*sqrt(50).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 12*p + 72. What is the smallest common multiple of b(19) and 35?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 1254 - 409 - 418 - 408.\nAnswer: -s + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(3\/(-6)). Let w be 7*(u + -1 + 3). Let r = w - -36. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 8*y + 13. Suppose -3*o - 24 = -t, o - 25 = 6*o. Give i(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.214 less than 76098998299?\nAnswer: 76098998298.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23481? (a) -2 (b) -1 (c) -0.2 (d) -0.111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**5 + 1045*v**4\/3 + 12545*v**3\/3 - 117265*v**2\/3 - 12560*v\/3 + 38740 = 0.\nAnswer: -149\/3, -26, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 62*r - 43. Is k(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -12, 2, -1, -1776 in decreasing order.\nAnswer: 111, 2, -1, -12, -1776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007219511 rounded to 7 decimal places?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 9. Let m be (-6)\/(-15) + f\/10. Let d be 15\/(-18)*(-5)\/25. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17 - 11\/(55\/20). Let x be -3*(-6)\/(-9)*(-1 - z). What is the greatest common divisor of x and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167088 and 75468.\nAnswer: 1050816432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = 0. Suppose z = -a + 52 - 3. Suppose g = -1 + a. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = v - 4, 4*t + t - 5*v + 20 = 0. Suppose -4*g = 5*c - 9, t = -2*c + 4*g - 3*g + 1. Is 2\/201 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/18)\/(3\/(-9)))\/(1114\/10026).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -45*(-1)\/(-40)*4*22*-1\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-3 + -1 - (-3 + 17))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 774, 641, 432, 159, -166, -531?\n\"Answer: 2*x**3 - 50*x**2 + 3*x + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddfvffdvdvgdfgkfik. Give prob of sequence kgvf.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10130 - ((-1)\/5)\/((-15)\/((-6525)\/(-29))) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 26*y - 11*y + 9 - 3*y. What is the remainder when 24 is divided by m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4) + (6 - 9) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 7, -128, -5, -112 in decreasing order.\nAnswer: 93, 7, -5, -112, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 4*j + 4*v + 167, 2*j = -4*v. Which is bigger: -2\/985 or j?\nAnswer: -2\/985","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**3 + 13*m**4 + 4*m**3 - 1 - 2*m + 4*m**3 - 11*m**4 - 2*m**2 in the form u*m + b*m**3 + p + f*m**2 + q*m**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102*(-2)\/(-60))\/((-8)\/(-10)*(-58)\/(-232))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 905269.6t to micrograms.\nAnswer: 905269600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5483*h*k**2*w + 85*h*k**2 - 2*h + 13*k**2*w + 13*k*w - 3*k + 5291*w wrt k?\nAnswer: -10966*h*w + 170*h + 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*w - 35 = -j, -j + 3*w = -16. Let y(d) = -j*d + 22*d - 17*d. Let g(t) = -t. What is g(y(h))?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199017451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-26) + (-26)\/(-28)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-6) + 135\/90. Let l(y) be the first derivative of 2\/3*y**6 + y - 9\/5*y**5 + 1\/2*y**o + 8\/3*y**3 + 12 - 3*y**2. Determine m, given that l(m) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -103329.007.\nAnswer: 103329.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -86 - 34 - (0 - -9 - (19 + -19))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2941999 (c) 1.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -65. What is the smallest common multiple of 50 and f?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 2)*(-3*j - j + 2*j) + 4*j + j - 4*j - j + 3*j - j - 2 - j + 2 + (-1 + 1 - 3)*(4*j - 2*j + 3*j) to z + n*j and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -u - 132, -4*u = 1 + 7. Suppose 2*m - 134 + 0 = -2*f, -f + m = -q. Calculate the remainder when f is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2631020 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02406472131 rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -18*m + 15. Sort 20, m, -2, 5 in increasing order.\nAnswer: m, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 49*t - 94. Let y be r(2). Let h(a) = -a**2 - 6*a + 2. Let p be h(-7). Let o be (1 - 0)\/(-4 - p). Calculate the greatest common divisor of y and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 1. Let p(n) = -6. Let a(l) = 7. Let u(t) = -5*a(t) - 6*p(t). What is 2*u(d) - v(d)?\nAnswer: -6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129265945 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2455 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4444 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: b\"What is the vth term of 50, 57, 64, 71?\n\"Answer: 7*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*i*x**2 + 54*b**3*i + 21*b**3*x**2 + b**3 - 2*b*x - 3*i*x**2 wrt x.\nAnswer: -4*b**3*i + 42*b**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 37.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -s - 2, 12 = 4*h + 2*s. Suppose -7*z + h*z = 10. What is the smallest common multiple of z\/(-4) + 45\/10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o*r**3 - 101*o + 163*r**4 + 2 wrt r?\nAnswer: -3*o*r**2 + 652*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -629 less than or equal to -629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 72640*h + 290571. Calculate t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 2*l**3 + l**3)*(129 + 113 + 53).\nAnswer: -295*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*u - 5)*(-4*u + u + 5*u) - 2*u**2 - 2*u**2 + 2*u**2 + 3*u - 3*u + 2*u**2 + 3*u**2 - 5 + 10 + u - 2*u.\nAnswer: -u**2 - u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 5*m - m)*(m + 6*m**2 - m) + 3*m**3 - 4*m**3 + 2*m**3 to the form b*m**2 + u*m + g*m**3 + f and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*u = -12, 0*u = 2*u + 8. Suppose r = 4*j - 40 - 108. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 109. Let p(m) = 46*m**2 - 4*m. Is 14 a factor of p(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + x - 22, 2*u + 109*x - 32 = 105*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 22 - -5)\/(-4 - 44\/(-8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 277, 929, 2135, 4063, 6881, 10757?\n\"Answer: 28*r**3 + 25*r**2 - 5*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7429488 and 7654624?\nAnswer: 252602592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f\/f**(-1\/5))\/f)\/(f*f**(-5\/4))*f**2*f**(1\/4) assuming f is positive.\nAnswer: f**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -52.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from wtssstwtstdstdtsswt?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnp when three letters picked without replacement from nnnnnpnnnpnnnnnnr?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 633.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(60)\/(sqrt(108) + sqrt(12)) - (-1 + sqrt(10)\/sqrt(2)*-2))**2*6.\nAnswer: 108*sqrt(5) + 1407\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 11*z = -78. Let j = -65 + z. Suppose 5 = -2*g + j. Solve 3*l = -g + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 30366776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**3 - 35*d**2. Let z be n(-7). Solve z*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -63*h**5\/20 + h**3\/3 - 39*h**2\/2 - 32*h. What is the second derivative of r(k) wrt k?\nAnswer: -378*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 15 = a. Let k = 0.895 + -0.855. Sort 3\/7, k, a in descending order.\nAnswer: a, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -353853*r**4 - 1235*r**5 + 353853*r**4 + (4*r + 2*r - 5*r)*(-r**4 + 0 + 0) + (2*r**3 - r**3 - 3*r**3)*(-3*r**2 - 2*r + 2*r) + 0*r**5 + 0*r**5 + 2*r**5.\nAnswer: -1228*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 12*a + 10 = 0, f + 5 = 3*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0423 and -0.5.\nAnswer: 0.02115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 86*h**2 - 964*h - 384. What is j(-96)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 1, r: 2, t: 7, h: 4}. What is prob of sequence ftht?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 730811.7um in nanometers?\nAnswer: 730811700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/20 - 59*r**4\/12 + 895*r**3\/6 - 9*r + 36. Find the second derivative of x(y) wrt y.\nAnswer: 6*y - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -442*u + 232*u + 33 - 24*u**2 + u**3 + 232*u. What is v(23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 8) in base 2?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (172\/26*1*(-439374)\/(-101394))\/(8\/6)?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2. Let c(m) = m. Let i = -22 + -11. Let b(l) = 5*l. Let q(x) = i*c(x) + 6*b(x). Calculate w(q(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1626, 0.09, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14067*a + 14069*a + 14069*a - 42177*a.\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8.13. Let n = t - -0.43. What is the third smallest value in n, -2\/19, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)*(-1 - 436*-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or -734\/23?\nAnswer: -734\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 430 - 216 - 49*m**2 - 214. Let v(g) = -g + 3. Let j(x) = -12*x + 27. Let w(n) = -j(n) + 9*v(n). What is w(b(l))?\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -164185?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -547*u**2 + 8*u - 1514. Let t(j) = j**2 - 2*j + 4. Let o(r) = -g(r) - 4*t(r). Differentiate o(w) wrt w.\nAnswer: 1086*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(125)*-2 + -4 + -1*sqrt(125) - -4*2*(sqrt(125) - sqrt(125)*3)*3)**2.\nAnswer: 1720*sqrt(5) + 231141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13917 is divided by 240?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 514 + 82 = 0. Suppose 2*d + 4*r = 5*r + 119, r - 1 = 0. Let t = d - h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -55*s - 782. What are the prime factors of o(-48)?\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196706?\nAnswer: 2, 59, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.1 + -8. Let q = 97\/3 + -32. What is the smallest value in q, 2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.33 and 9734216320.\nAnswer: 9734216320.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)*(t\/(t**(-7)\/t))\/t)\/(t\/t**(-1))**35 assuming t is positive.\nAnswer: t**(-808\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - b\/3.\nAnswer: -b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 25023303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -301\/52 + 72\/13. What is the second smallest value in 2\/9, c, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = 3*z, -2*s - 7 = 3*z - 23. Let o be (-15)\/(-30) + z\/16. Let p = 2.2 + 0.8. What is the biggest value in p, 1\/50, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/25 + 12\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157652 = 5*u - 4*x + 45180, -4*x - 89976 = -4*u. Is (1 + u)\/(-1 + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/8866 and 43\/4056.\nAnswer: 1383096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 - 30?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -19. Suppose u = 3*h + 33, t = -u + 2*h + 55 - 17. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*k - 280, -4*k + 395 = -5*i - 9*k. Is 22276*(i\/(-4))\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -3\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n - 4 + 2 - 8 + 10 - 1 to the form d + p*n and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1404 + -46001. Let l = a + 47371.921. Let w = 33 + l. Round w to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -113 + 35 + 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336\/1081 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of -6 - (-76)\/12 - 11315\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o - 3*p = -13, 3*p - 3 = 0. Solve -2*u - 17 = o*u - l, -5*u = 5*l - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*l**3 - 803*l**2 + 1185*l**3 - 588*l**3.\nAnswer: 2*l**3 - 803*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -8\/1637?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 24 + 104 = 0. Suppose 0*i + j = 8*i. Suppose i*a = -0 + 10. Let w(r) = -r**2 + 6*r - 3. What is w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(3*i**2 - 4*i**2 + 0*i**2) - i**2 + 4*i**2 + 0*i**2 + (-2 + 2 - 2)*(-2*i**2 + 6*i**2 - 2*i**2).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a + 60 = 0. Calculate the common denominator of (-2)\/(8\/(-10))*25991\/(-16590) and (a\/126)\/(2\/78).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -33\nAnswer: -41\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (11 + -4 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4676 and 2268.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 493*f**2 + 25610*f - 417. Calculate u(59).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1191 - -1749. List the prime factors of b.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -42, 2\/151, 2, 1106\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/502080 and -76\/135?\nAnswer: 4518720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72925656989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7664.02 take away -0.1?\nAnswer: -7663.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -43*x + 54 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2) + 5\/1. Suppose 0*m + 46 = m. Let o = -26 + m. Solve 2*g + o = n*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -98*j + 488. Let r be l(5). Let m(p) = p + 1. Let y(o) = -10*o - 3. Let d(z) = -5*m(z) - y(z). Give d(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 5*n + 8*n**2 - 16*n**2 + 6*n - 14*n + 13*n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 4*a**2 - 2*a - 5. Suppose -7 - 1 = 2*h. Let q be v(h). Solve m = -4*m + 15, -2*m = q*l + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from hhnhhhhhnwhhhh?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 19. Let l = w + 90. Suppose l = v - 5*m, 2*v + 14 = m + 98. What is the remainder when v is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 1. Let l(i) = i**2 + 0*i**2 + 7 + 0 + 9*i. Let p be l(-8). Let f = -5 + p. Calculate c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4917, -9831, -14735, -19629, -24513?\n\"Answer: 5*m**2 - 4929*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n + 3*n)*(-1237 - 589 + 429).\nAnswer: -1397*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**4 - 5*c**4 + 3*c**4)*(-3664 - 2581 - 353) as n*c**2 + x*c + i + p*c**4 + y*c**3 and give p.\nAnswer: -13196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4. Let u = c + 6. Let a = 27 + -18. Solve -d = u*d + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 9*l**2 - 88*l - 430. Let h be b(-5). Let a be -1*49*10\/(-2). Calculate the highest common factor of h and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.05 - -1.95. Which is the smallest value? (a) u (b) 0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026343 (base 7) in base 10?\nAnswer: -124687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300883?\nAnswer: 11, 17, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 2. Let f be t(2). Let s(k) = -k + 1. Let u be s(4). Let b be (-1 + 26\/30)*u. What is the closest to -1 in b, 1\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.065 - 0.935. Which is the second smallest value? (a) -129 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30414, -60827, -91252, -121695, -152162, -182659, -213192, -243767?\nAnswer: -274390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - (-6 - -10) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -273?\nAnswer: 218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-4\/5)*t)\/t))**19*(t\/t**(-2\/7))\/t**(2\/37) assuming t is positive.\nAnswer: t**(45884\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from zzzczzzzczzzcc.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1632 greater than or equal to -60436\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1932, -3, 1, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k = -2*a + 9, -5*a = 5*k - 45. Let i(c) = c**3 + c**2 - c + 1. Let f be i(-2). Let v be 55\/10 + f\/2. Solve 2*x - v*x + a = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4641, 9106, 13271, 17004, 20173?\nAnswer: 22646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**3 + h**4 - 12*h**3 - 4*h**2 + 6*h**2 + 17*h**3 - 6 as z + d*h + n*h**3 + g*h**4 + j*h**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 384583001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 74 + 136 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)\/j**4)**17 assuming j is positive.\nAnswer: j**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15014822 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -575 + 577.433. Let h = u + -0.433. Which is the third biggest value? (a) -5 (b) 26 (c) h (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*f - 1, 0*c = -2*c - f + 1. Suppose 0 = 4*m - c*i + 34, -42 = 3*m - 0*i + 4*i. Let v = 14 + m. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3182865, 6365820, 9548775?\nAnswer: 12731730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 3\/5*o**5 - 1 + 0*o**4 - 4\/3*o**3 + 0*o**2 + 0*o. What is the third derivative of v(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -116?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2632827 is divided by 438490.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1020 + 1043?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 46\/((-1288)\/(-1260))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/9 + -8 + 3488\/(-48) + 14.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 29)*(-2)\/6. Let s(g) be the second derivative of g**4\/12 - 5*g**3\/6 - 13*g**2 + 9*g + 3. Does 3 divide s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**34*m\/(m**(2\/21)*m) assuming m is positive.\nAnswer: m**(712\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/7)*b*b**8)**39 assuming b is positive.\nAnswer: b**(2691\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15)**(-3\/14) assuming o is positive.\nAnswer: o**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -211, -462, -817?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -282, -1109, -2506, -4485, -7058, -10237, -14034?\n\"Answer: -2*m**3 - 273*m**2 + 6*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80)*-1 + sqrt(80))\/sqrt(5))\/(sqrt(64)\/(3*sqrt(8))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let h = 26 + -20. Let c(r) = -5*r + h*r - r + 9*r**2. Determine a(c(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -4 (b) -2 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/7)*u)**(1\/21))**(8\/13)\/((u**(-2\/19)\/(u*((u*u**2\/u)\/u)\/u))\/(u**(-2\/9))**(-46)) assuming u is positive.\nAnswer: u**(1241165\/108927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 3*y**2 + 26842 + 27802.\nAnswer: -3*y**2 + 54644","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -4. Sort -2, c, 6 in decreasing order.\nAnswer: 6, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -550425?\nAnswer: 550422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 10. Let f(l) = -6*l + 12. Let b(s) = -4*f(s) - 5*p(s). Let r be 6*1\/(6\/(-8)). Let d = -12 - r. Determine b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23760 + 10948. Let b = o - -1805. Let g = b - -6407. Round g to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2246755*f**3 - 5263631*f?\nAnswer: 13480530*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 12*i**2 + 12*i + 4. Let m be d(6). Let p be 2\/((-144)\/m) - 2. Is p less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*f + 355*f + 2*u = 18, 0 = 5*u - 35. Suppose -1024\/5 - 48\/5*z**f + 384\/5*z + 2\/5*z**3 = 0. What is z?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 12}. What is prob of sequence vr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*o + 14467786 - 140464817 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.02626173 - 2.014261. Let y = 0.012 - m. What is y rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017.\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156365137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Let q be (-1)\/n + 38\/40. Factor -1\/4*k**3 - q*k + 3\/4*k**2 + 1\/4.\nAnswer: -(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c2 (base 15) to base 9.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2354 and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (1\/2 - 1). Let v = 11 - 7. Sort v, j, -2\/7.\nAnswer: j, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2869?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 8, l: 3, i: 2, e: 4, j: 1}. What is prob of sequence sjl?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 3, -5 in descending order.\nAnswer: 3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(117)*6 + (sqrt(13) + 6*((sqrt(52)\/sqrt(4))**2 - sqrt(13)) - sqrt(26)\/sqrt(8)).\nAnswer: 25*sqrt(13)\/2 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-178)*(-23 + 9 + 18)\/(-10)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/135405 and -73\/10620.\nAnswer: 541620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 4}. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - m**3 + 2*m**3 - m + 2*m**3. Suppose -g + 21 = 4*l, 0 = -4*g - 9 + 29. Let x(t) = -l*t**2 + t**2 + 4*t**2 - t**3. Give 2*b(p) + x(p).\nAnswer: p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 1. Let s be q(-1). Suppose 2*p = 5*d + 6, -3*p - 2*d + s*d + 9 = 0. Calculate the remainder when 8 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 7*k = -78. Let d be 2\/(8\/(-6))*-2. Let p be (d + -1)*k\/(-18). Which is the nearest to p? (a) -4\/7 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 3*f**3 + 3 - 33.\nAnswer: -3*f**3 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 81*s + 114*s + 36*s - 57*s. Let q(r) = 2*r**2. What is q(k(l))?\nAnswer: 60552*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 + 29. Let x(z) = 105*z**2 - 2. Determine a(x(p)).\nAnswer: -11025*p**4 + 420*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 923228 - 923228 + 2431*r to w*r + q and give w.\nAnswer: 2431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1737053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029 - 1041 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2, 1\/2, 0.3, 14363?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 14 (b) -21 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 11) to base 4\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 310?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104707000 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 15*u - 3. Let o(c) = -4*c**2 - 64*c + 13. Calculate 9*l(j) + 2*o(j).\nAnswer: j**2 + 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309251.6 micrograms to milligrams.\nAnswer: 309.2516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 3810569.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*n**4*p**2 - 13078*n**4*p + 3*n**3 + 6*n**2*p - 1989*n*p**2 + 16 wrt n.\nAnswer: -672*n*p**2 - 313872*n*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -68. What are the prime factors of 10*2*g\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 77, 125, 173?\n\"Answer: 48*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317476 take away 1022.829?\nAnswer: 2316453.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 48, -2\/3, -0.08, 4, -5, 2\/15, -386?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5896783 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (1 - 3) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -3, -10, -21, -36, -55?\n\"Answer: -2*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 13152 = -58752. Suppose -9*i = -348 - v. List the prime factors of i.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.8 + -1.8. Let r = h + -16. Let o = 9.000076 + r. Round o to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4 + 12*c + 9 - 3*c. Let n(f) = 6*f + 0 + 4 + 2*f. Suppose 18*y = 16*y + 7*w - 14, w + 28 = -4*y. Determine y*n(j) + 6*l(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 8*k**3 - 6*k**2 + 8*k + 7.\nAnswer: -(k - 1)*(k + 1)**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2291*z + 16035. Calculate a(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5690 + 5688 - 605*i - 11378 in the form w*i + l and give w.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-45))\/(-3*80\/(-288)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1602.16922\nAnswer: -1598.16922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*d**5 + 58*d**4 - 267923*d**2.\nAnswer: 1980*d**2 + 1392*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/11 - 6\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -79, -284, -687, -1354, -2351, -3744?\nAnswer: -5599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 633, 5198, 17625, 41844, 81785, 141378?\n\"Answer: 655*d**3 + d**2 - 23*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 12159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2830877 by -49.\nAnswer: -57773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9955804*h. Let s(c) = -3*c. Calculate s(y(t)).\nAnswer: -29867412*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 - 18. Give w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 59. What is the hundreds digit of (-989 + 30)\/((-1)\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 123.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.8 + -27.7. Let v = 2 + -2.4. Let b = -0.11 + -2.89. What is the nearest to g in v, b, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4465134, -7, -1 in ascending order.\nAnswer: -4465134, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2*l**3 + l**4 + 27 - 3 - 11 - 2*l + 15*l**2 + 1 to f*l**2 + i + o*l**3 + j*l**4 + a*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 182570 divided by -6\nAnswer: -91285\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.3, 70, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9022713.69 to the nearest 1000.\nAnswer: 9023000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 + 111. Sort 1, -6, r, 2 in descending order.\nAnswer: 2, 1, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 10*y - 13*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29914145, -29914136, -29914113, -29914070, -29914001, -29913900, -29913761, -29913578?\n\"Answer: f**3 + f**2 - f - 29914146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 12 - 6)*(52 - 21 - 29 + 8*x).\nAnswer: -96*x - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950330 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*s + 296*s = -318*s - 77*s + 95418 for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*x**5 + 2021*x**4 - 2346*x**3 - 39548*x**2 + 39320*x + 672 = 0. What is x?\nAnswer: -4, -2\/119, 1, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*q - 34. Let t = 26 + q. Suppose 2*p - m = 4*m - 12, 4*p - t = 2*m. Solve -p*u = -u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**4*c)**(1\/13))**48)**49 assuming c is positive.\nAnswer: c**(14112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8591 - -627165\/73. Calculate the common denominator of 3\/9 + 341\/30 and n.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 18*x + 14. Let g(l) = 6*l + 5. Let k(w) = 8*g(w) - 3*n(w). Calculate the remainder when 31 is divided by k(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 + 4*i + 5. Let a(c) = -6*c**2 + 3*c + 4. Determine -5*a(b) + 4*n(b).\nAnswer: 10*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 166 = 210. Let s(c) = 8*c + 52. Let x be s(h). Calculate the highest common factor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -26*w + 4. Let h be 8*((-10)\/6)\/((-4)\/3). Let v = -12 + h. Let f be g(v). What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*a - 840 = 11*a + 21*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32495315 to the nearest integer?\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1428 times -163.3?\nAnswer: -23.31924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/55 and (-12)\/(18 + (-3400)\/(-119)).\nAnswer: 8965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5437*g**3 + 11645.\nAnswer: 16311*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*x - 15 + 30*x**3 + 286*x - 51.\nAnswer: 30*x**3 + 2*x - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-4 - (-11 - (3 + (-18 - (4 + -18))))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26880659?\nAnswer: 13, 227, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 = k, 2*l - 11 + 35 = 4*k. Calculate the remainder when 1 + 1 + (-30)\/(-3) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45\/7 + 211\/35. Let n = -5 + 3. Put x, 0, n in ascending order.\nAnswer: n, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109292.\nAnswer: 2, 89, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 575, 571, 565, 557, 547?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1432)\/17094 - (-140)\/2310)*-7?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -5*f**3\/3 - 44. Let h(x) = 4*x**2. Determine h(u(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3420*k**2*w**2 - 119252*k**2 - 2*k*w**2 + 1133*k*w - 3*k - 17 wrt w?\nAnswer: 6840*k**2*w - 4*k*w + 1133*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*1*156\/(-156).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.123 - -261269851935.\nAnswer: 261269851934.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Let i(h) = -2*h**2 - 7*h - 4. Suppose -5*t - 5*y + 0*y = -1685, -4*t + 1340 = 2*y. Let s = -328 + t. What is s*n(j) - i(j)?\nAnswer: 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**8\/168 + o**7\/105 + 37*o**5\/60 + 5*o**2 - 2*o. Find the third derivative of c(p) wrt p.\nAnswer: 120*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -806, -715, -554, -317, 2, 409, 910, 1511?\n\"Answer: t**3 + 29*t**2 - 3*t - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one eighths of a micrometer?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-56)\/(-2)*-2. Find the common denominator of -17\/10 and (-40)\/6*105\/h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*g**2 + 228*g**2 + 1267*g**2 + 455*g**2 as x*g**2 + m + j*g and give x.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g. Let b(k) = -105*k. Calculate b(a(x)).\nAnswer: -315*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25408151 is divided by 25408097?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1016*m + 5*m + 617*m)*(2*m**4 - 5*m**4 + m**4 + (5*m - 5*m - m**2)*(1 + 2*m**2 - 1)).\nAnswer: -6552*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*b**2*y - a*b**2 + 5*a*b*y**2 + a*y**2 - a + 9*b**2*y**2 - b**2*y + 2*b**2 - 18*b*y**2 - 2113*b*y wrt y?\nAnswer: 10*a*b + 2*a + 18*b**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12912 + 2496. Let a(n) = 7696*n - 4. Let r be a(3). Suppose -2*x - 4*t + 2*t = -w, r = 3*x - 4*t. What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2271*p. Let n(a) = 2*a - 185331. Determine s(n(t)).\nAnswer: 4542*t - 420886701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 + 356 + 356 - 712. Let l(x) = -2*x. What is l(a(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 1, 3, 2347, 24 in descending order.\nAnswer: 2347, 24, 14, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19515 and 24870?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 2, a: 1}. Give prob of picking 1 a and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 220902 to the nearest one thousand.\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111111021110210 - -11?\nAnswer: -111111021110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 6*m**2 - 4*m + 1. Let v be c(4). Suppose 5*o + 1 = 6, 0 = -3*p - 2*o + v. Solve -p*i = 3*x - 8, -x = -0 + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -461, -463, -465, -467?\n\"Answer: -2*w - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2. Suppose 3 + 77 = 40*q. Let k(p) be the first derivative of 0*p + 0*p**2 - q + 2\/3*p**3. What is k(z(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -76, -106, -134, -160?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w + 9. Let v be (10\/8)\/(-11 + (-405)\/(-36)). Let y(b) = -9*b + 6. Calculate v*m(k) - 8*y(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18876008\/(-52) - (-6)\/39. What is r rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k + 11*k = -792. Solve 2*b - 5*h + k = 0, -3*h + 35 = -5*b - 0*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7198 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -2. Suppose -2 = -3*s - 4*c, -4*c + 11 = 4*s - 7*c. Let f(p) = -27*p - 19*p - s + 45*p. Determine f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 minutes after 6:08 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283*b**4*v*w**2 - 364*b**2*v + 4*b*v*w**2 - 867*b*w**2 + 7 wrt b.\nAnswer: 3396*b**2*v*w**2 - 728*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21312083 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 1, l: 2, c: 1, q: 2, u: 1}. What is prob of picking 1 u, 1 q, and 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-150.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7)\/(29\/(-203))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = -4*r, 5*x + 1 = -r - 3. Let c be (1 - 1)\/(r - 0). Let q = -597 - -598. What is the nearest to 2\/3 in 0.1, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 6*s\/5 - 1.\nAnswer: -(s - 5)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -261*l**2 - 92*l - 9. Let v(o) = -95*o**2 - 31*o - 3. What is 4*n(h) - 11*v(h)?\nAnswer: h**2 - 27*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*(-12)\/(-2). Let y be x\/21*(3 + -6). Let p = -6 - -10. What is the closest to -1 in 0.1, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpccpccwccpcuccpwucp. Give prob of picking 2 c and 1 t.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = a + a - 8, 0 = -4*r + 4*a + 8. Solve 3*n + 2*x - 12 = 0, 3*n - 4*x = 2*n + r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000201 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -10*a**3\/3 + a**2\/2 + 1. Let k be (-80 - -73)*2*1\/(-14). What is s(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u - 5*u + 2*u)*(-2*u + 3 - 3) + 22*u**2 + 21*u**2 - 51*u**2)*(-3*u + 0*u + u) - 4*u**3 + u**3 + 2*u - 9*u**3.\nAnswer: -4*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1331810, 1\/7, 2\/23 in descending order.\nAnswer: 1331810, 3, 1\/7, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 4*t)*(5 + 9 - 6).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 - -4) - (-1 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/5 + 2248\/10. Suppose c = -5*y - a, 4*a = -0*y - 2*y - 104. Suppose 2*i - 146 = 6*i + 30. Is y at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7900056473 take away -4.872?\nAnswer: 5.6620056473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*d = 36, -2*d + d = 3*a - 26. Suppose 6*v - a*v + 128 = 0. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f**2 + f - 1. Let z be 3\/((-5)\/((-40)\/(-12))). Calculate the lowest common multiple of k(3) and (z\/6)\/(4\/(-216)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11292286 to the nearest integer?\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 102 - 22295?\nAnswer: -22193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3601*f - 905*f - 912*f - 911*f + 3*f**3 - 881*f.\nAnswer: 3*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 40 + 20 = 0. Let d be ((-40)\/50)\/(2\/n) + 3. Sort 0, d, 1, -4 in decreasing order.\nAnswer: 1, 0, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1944 divided by -324.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 26*u + 242. Let b be p(-9). Solve 0 = 5*k - k - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -65*p**2 + 0 + 0*p + 1\/8*p**4 + 5\/2*p**3. What is l(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6891*b - 34631 + 221380 = -47545 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 4*h**2 + 2. Let x be q(-3). Let b = 166 - 168. Let r(c) = -2*c + 3. Let g(p) = 6*p - 10. Determine b*g(l) + x*r(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1869 - -6?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 464b + -44?\nAnswer: 4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/18 - (0 + 2). Let q = 0.04 - 0.16. What is the biggest value in -0.2, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = s + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (-6 - -4 - -3). What is the units digit of (-1035)\/(-63) - (-3)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*u + 192*u + 108*u - 124*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -972 and -17.\nAnswer: 16524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*z**2 - 245*z + 245*z - 1165.\nAnswer: 654*z**2 - 1165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -67*q + 271 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o - 20 = -3*h, -3*h + 2*o + 16 = 0. Suppose -h*s = -13 - 7. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6062912 and 24?\nAnswer: 18188736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.05 and -0.34.\nAnswer: -1.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 26141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825.21*0.4.\nAnswer: 330.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -255064.102167 and -1.\nAnswer: -255065.102167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxszzszshhzzzxijz. Give prob of picking 1 x and 1 i.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -465993*x + 65762588 wrt x?\nAnswer: -465993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -81625458 < -81625456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8062171?\nAnswer: 13, 281, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(17) + -3)**2 + (sqrt(85)\/sqrt(5) + -3 + -2)**2 + 3.\nAnswer: -22*sqrt(17) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3079 + 3217. What is the remainder when 306 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose 6 = t*f - 3*x + 2*x, 0 = -5*f - 3*x - 7. Calculate the remainder when 37 is divided by f\/(-2) + 39\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2. Let j be g(5). Let f = 11 - j. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 2. Let o be i(4). Let h = 0 + o. Calculate the highest common divisor of 8 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-34)\/l*l)**(3\/5)*(l\/l**(4\/35))\/l**(33\/5) assuming l is positive.\nAnswer: l**(-914\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*h*p**2 + 165097*d*h*p - 3*d*h - 162282*d - 40*p**2 with respect to h.\nAnswer: 3*d*p**2 + 165097*d*p - 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1586\/7 + 17432\/77. Let v = -1680510\/7 - -240505. Let k = -433 + v. What is the fourth biggest value in -3, x, -1, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06556 take away 0.05?\nAnswer: 1.01556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2. Let m(f) = 0*f - 5*f + 0*f - 4*f. Give a(m(g)).\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:35 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + (3 - 1) + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-12)*96\/(-80). Solve -3*r = m*a - 22, 5*a + 10*r - 5 = 15*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/92, 69, -0.1, 3\/7, -0.5, -0.4?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29707*g - 29709*g + 21 = 3*f, -13*g + 4 = -7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k. Let t(x) = 2*x. Let u(r) = 6*t(r) + y(r). Let j(i) = 9*i + 4. Determine u(j(p)).\nAnswer: 9*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*n*r**2*z**3 + 87*n*r**2*z + 5*n*z - 7*r**2*z - 13*r**2 + 2*z**3 + 5*z wrt n?\nAnswer: 4*r**2*z**3 + 87*r**2*z + 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 + 39*g**2\/2 + 2160*g.\nAnswer: -3*g*(g - 45)*(g + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21383*d**5 - 8*d - 121?\nAnswer: 427660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 86?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -194, -73, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 25*c**2 - 85*c - 16. Let s be t(-21). What is the nearest to 1\/3 in 0.1, 2, -2\/13, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27926\/15 + 3727\/2. Let r = t + -13\/6. Let d = -4 - -2. Which is the closest to -2\/3? (a) -0.1 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5585 is divided by 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30383*3.\nAnswer: 91149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -76 - (-3)\/(-3 - 0). Let c = -54 - j. Let a = c - 23. Solve a = 2*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2911 + -2812. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 30*t**2 - 3 - 88*t**2 to the form r + k*t**2 + w*t and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 137715 - -6?\nAnswer: 137720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 2 - -4 - 3 - -16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a**2 - 16*a - 4. Let f(p) = 26*p**2 + 36*p + 9. Let d(q) = -4*f(q) - 9*j(q). Let v(i) = 7*i. Give v(d(n)).\nAnswer: 154*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5653898?\nAnswer: 2, 29, 43, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -941086400 rounded to the nearest 1000000?\nAnswer: -941000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -3, -1, -2 in decreasing order.\nAnswer: 34, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10806, 10329, 9542, 8451, 7062, 5381, 3414?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14668?\nAnswer: 2, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 13*j**2 - 9*j - 26. Is 13 a factor of g(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 13*a**2 - 15*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*b - 21, 2*w + 0*b + 10 = 2*b. Let l be w\/(-27) - 50\/(-18). Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 z when three letters picked without replacement from zozjzzzjzjzzjjjjjo.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Which is the closest to -2\/27? (a) -0.1 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.071314 and -0.04.\nAnswer: 19.031314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 4) in base 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 - 13*q**3)*(3 + 4*q**2 - 3).\nAnswer: -52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1560*a**2. Let r(c) be the third derivative of -c**5\/30 + 123*c**2 - 31. Determine r(o(v)).\nAnswer: -4867200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5784086630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = -74*q + 500 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 + 6598*m**3 + 2477*m**2 wrt m?\nAnswer: 24*m + 39588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) 1 (d) -825 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2616 and 72.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 - d**2)*(3 + 2*d**2 - 3) - 5*d**4 + 2*d**4 + 5*d**4 + (-4*d**3 + 3*d**3 - d**3)*(-3*d + 6*d - 4*d) - 9*d**4 + 5*d**3 - 5*d**3.\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47349072427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -69. Suppose r = -3*j + c, -18 = -2*j + 6*r - 4*r. Suppose -2*f + 4*f = j. What is the closest to -1 in -3\/5, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 + 0 - 1\/6*q**4 - 5\/6*q**3 + 0*q = 0. Calculate q.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c + 1. Suppose 0 = -z - 99*k + 95*k + 7, -5*k + 30 = -3*z. Sort 1, c, z, -1.\nAnswer: z, -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:54 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/5)*q*q*q)*q\/q**(-1\/3)*(q\/(q**(-2)*q))**(-7))**40 assuming q is positive.\nAnswer: q**(-1736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 3382223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 33. Let d = c - 9. Let l = 30 + -30.1. Sort -5, d, l in ascending order.\nAnswer: -5, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3258*z**3 + 74*z - 10?\nAnswer: 19548*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/5, -20.8, 3, 18.5, 2 in increasing order.\nAnswer: -20.8, -3\/5, 0.4, 2, 3, 18.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 12:10 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39\/9)\/(34\/6834). Let o = 872 - j. Which is bigger: o or 12\/47?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 411 + 604. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = 0, -x = 2*y - 4*y + 28. Let l(r) = 403*r + 1. Is l(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 580995851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)\/x)**(8\/9))**16 assuming x is positive.\nAnswer: x**(-128\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h**2 + 9*h - 6. Let s be t(5). Let u = 513 + s. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4336 divide 221773392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717990 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 107 times 5\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 2*g + 22, 0 = -4*w + 2*g + 76. Suppose 3*a - w = -0*a. Is (1110\/(-12))\/((-3)\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 87*p**2 - 462*p - 168. Let q be v(-92). Suppose 0 - 48 = -3*d. What is the greatest common divisor of d and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 4. Let d be 1\/j*-2 - -21. Let b = 29 - d. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5113*s**3 - 6*s + 18. Let k(f) = 5111*f**3 - 5*f + 15. Determine 5*i(l) - 6*k(l).\nAnswer: -5101*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/((70\/(-75))\/(-14)*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + -3)\/((-27)\/(-18)) + 6 - -67027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126616 is divided by 126544?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.053 - 1.947. Which is the biggest value? (a) 2 (b) -2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:58 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 6. What is p(-9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.45?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1\/(-4)*6. Let a be ((-3)\/o)\/(2\/(-26)). Let x = -10.9 - -11. Sort -0.5, -3, a, x in decreasing order.\nAnswer: x, -0.5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5144941 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5991, 10411, 13261, 14541, 14251, 12391?\n\"Answer: -785*t**2 + 6775*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -5661\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -0.4 (c) 12 (d) 8\/85 (e) -2 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - -138. Let b be (-20)\/(-40) + (-225)\/2. Let p = b + l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 26 = 20*n + 10*s, 3*s + 2*s = -4*n - 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-6 - (80 - 43)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 - 130*t**2 + 428*t + 1360 = 0.\nAnswer: -68, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781, -1654, -2645, -3814, -5221, -6926?\nAnswer: -8989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2413 - 22798?\nAnswer: -25100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3. Let h(n) = 2*n**2 - n**2 - 3*n**3 + 4*n**3. Let l(a) = a**3 - 4*a**2 - a + 1. Let j be l(4). What is j*s(p) - 2*h(p)?\nAnswer: p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let x(i) = 4*i + 29. Let z(s) = -533 - 536 + 1065. Let v(f) = -x(f) - 6*z(f). Determine -2*p(k) + v(k).\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 69*t. Let i(o) = 10*o. Let p(s) = -27*i(s) + 4*j(s). Let u(f) = -f. Determine u(p(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12620 + 12620. Let r(c) be the second derivative of 37*c + 0*c**2 + 0*c**4 + 1\/21*c**7 + q + 0*c**6 + 1\/3*c**3 - 1\/5*c**5. Factor r(m).\nAnswer: 2*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 563*o + 28 - 94 + 31.\nAnswer: 563*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4, -11*a - 12 = 4*b - 7*a. Suppose -2*n - 30 = -n - 2*g, g - 85 = 3*n. Sort -1, n, b in descending order.\nAnswer: -1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892 > 1904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347169 is divided by 115269?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 9:50 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6893987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/(-26)*(-6)\/14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/7))\/p)\/(p**(-6\/5)\/p)*(p*p*p\/(p\/(p*p\/(p\/(p*p*p\/p**(1\/5)*p))))*p*p)\/p**(1\/41))**1 assuming p is positive.\nAnswer: p**(3068\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38491, -38494, -38497, -38500?\n\"Answer: -3*r - 38488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 2*h**2 - 5*h - 6. What is q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 3, l: 8}. Give prob of sequence qnq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-2 - 0))*32. Let s(l) = 13*l**2 - 62*l + 4. Let n be s(4). Let f = n - c. Sort f, -9, 2.\nAnswer: -9, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7805751 to the power of 1\/2, to the nearest integer?\nAnswer: 2794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. Let n = -2 + z. Let g(c) be the second derivative of c**3\/2 + c**2\/2 + 21*c. Give g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**5 + h**5 - 2*h**5)*(6 + 15 - 3).\nAnswer: -18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**2 + 47914750 - 47914750 - 13*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789 = -1125*w + 3711 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.12133 less than -8850.742?\nAnswer: -8849.62067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiaiiwwiwzawi. Give prob of picking 2 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 18*t**2 + 19*t + 14. Let b = 1235 - 1254. Determine x(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 o when four letters picked without replacement from osooosooossooooooos.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18226a + 48?\nAnswer: 1822b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.956 and 1628023.2.\nAnswer: 1628027.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 0 + 2)\/(2\/(-2)). Suppose -80 = -j*u - 8. What is the second derivative of 10*s**2 - 31*s**2 - u*s - 5*s**2 wrt s?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 2. Let h(d) = -547*d - 6. Calculate 6*c(z) + 2*h(z).\nAnswer: -1082*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 2:11 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*-2*2\/4. Let u(o) = -2*o**3 - o**2 + 2*o - 1. Let c be u(w). List the prime factors of c\/5*(-27 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 9*o + 11. Let g be d(-9). Suppose -3*j - 5 = -g. Solve -2*a + 4*a = -j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75139881 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3 - 46\/(-15)). Suppose -p = 4*c + 15, -5*p - c = c - r. Let y(k) = k**2 - 6*k - 2. Give y(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2. Let y be (2\/(-6))\/(1\/(-9)). Let w = 105 - 105. Let h(l) = 3 - y - l**2 + w*l**2. What is d(h(f))?\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1. Let g(t) = 2*t**2 - 2. Let u = 32 + -30. What is u*n(q) + g(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/7)\/(0 + 1). Suppose 0 = -0*n - y*n + 8. Suppose 290 = n*p + p. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31160 and 86100?\nAnswer: 3271800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*c - 21 - 19, 3*c - 11 = y. Solve 2*k + 5 = w, -c*k + k - 4 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10035223*b**4 - 143782491 wrt b.\nAnswer: 40140892*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/616)\/(160\/1344)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 15*t - 51. Suppose -t*p + 11*p = -144. Suppose 0 = 4*u - 64 - p. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 113*w**2 - 607*w + 1992. What is n(118)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 4. Suppose -2*c - 20 = 4*d, -d = -2*d - 4. Let l be i(c). Solve l*p + w = 2, 2*w - 5 = -p - 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25741.122 months in millennia?\nAnswer: 2.1450935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 15845 + 163119 = 2*q, -4*v = 5*q - 368213. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d = -238*d - 14477 + 3569 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*z - 5*u - 20 = -560*z, 3*z = -4*u - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -b3b2 (base 12) to base 16\nAnswer: -4c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0880205 to four decimal places.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u + 37*u - 168*u - u - 2*u + 5*u + (0*u + 3*u - u)*(2 - 4 + 3) + 0*u + 6*u - 4*u in the form b*u + k and give b.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from kefgzjjkjkgf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 329\/5406 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ssiiissssi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5 = 5*b - 6*b, -2*f + b - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:40 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/50 - 11*u**4\/30 - 8*u**3\/3 - 48*u**2\/5 + u - 6. Factor m(d).\nAnswer: -2*(d + 3)*(d + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/(-20))\/(2\/(-40)). Suppose -6*o - t = -12*o. Solve -7*k = -o*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2 and 18\/1508621.\nAnswer: 3017242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 91 = 11. What is the greatest common divisor of 515 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*g + 43. Let l be (-6 + g)*2\/(-4). What is the tens digit of l*2 + (89 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/6 (b) 0.4 (c) 96 (d) -2\/3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1730 = -3*t - 1695, -18*t + 9 = 3*y - 10*t for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 1 (c) 34\/2903573 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/45*(-3 + 0)*18. Calculate the common denominator of 37\/103 and o + (2 - (-510)\/42).\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 130*p**3 - 5814*p + 5814*p + (2 - 3 + 2)*(-3*p**3 + 2*p**3 + 0*p**3) + (3*p + p**2 - 3*p)*(0 - p + 0).\nAnswer: 128*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3388 - 700. What is the highest common divisor of d and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429 (base 12) to base 5.\nAnswer: 4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3288 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -643 + -137?\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6) - 181\/(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/31, -0.2, -12, 2\/9?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011875207 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167457848 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 351344 divided by -6?\nAnswer: -175672\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Is -2\/35 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i**2 - 752*i**2 - 514*i**2 + (i - i - i)*(-4*i + 0*i + 2*i) to the form v*i + s + t*i**2 and give t.\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2003*a - 90130. Give f(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c + 2. Is (189 + c)\/(5 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 815503\/39144 + -1\/13048. What is the common denominator of (1\/(-24))\/(4\/(-424)) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/5)\/(4\/6*(-27)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9178 divided by -6.\nAnswer: 4589\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7288985 is divided by 560690.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Suppose -500 + 530 = -5*d. Let s(t) = 4*t + 3. Let c(w) = 3*w + 2. Let u(h) = 6*c(h) - 4*s(h). Determine d*u(r) - 11*g(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -31*g**2 + 30*g**2 + 4 - 10*g - g. Let a be v(-11). Solve 0 = c - a*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 2\/25, 0.5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 26 + 19. Let a be 2\/(-15) - 366\/c. Suppose -4*n = 3*y - 4, 2*n + 2 = -4*y - 6. Solve l = -3*l + n*q - a, 5*l = -2*q + 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3235548 and 5627040.\nAnswer: 129421920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54200 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148*1\/2)\/(336\/96*(-20)\/(-35)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257781, -1031130, -2320083, -4124670, -6444921?\nAnswer: -9280866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31817 + -51198. Let x = a - -19380.9700088. Let g = 0.03 + x. Round g to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 2, o: 5, v: 1, s: 3, a: 8}. Give prob of sequence ai.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**2 - p**2 - 2*p**2 + 4*p**4 - 3*p**2 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1*-1)\/(sqrt(80)\/(sqrt(8) + sqrt(8)*1)) - (4*(-1 + sqrt(847) + sqrt(847)) - (-1 + sqrt(847) + 5)))**2*-5.\nAnswer: -197195 + 6000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -3*j**4\/2 + 2*j**3 + 5*j + 11073. Let b(n) = -n**3 + 1. Give 10*b(q) - 2*h(q).\nAnswer: 2*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 78232?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/3))**33*(i*i**(4\/9))**(1\/9) assuming i is positive.\nAnswer: i**(7141\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.04, 1\/14 in descending order.\nAnswer: 1\/14, -0.04, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 2. Let a be l(-3). Suppose 2 + 31 = -r + 2*h, -3*h + 137 = -5*r. Let s = -21 - r. Solve s = -2*g + a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 796 or 8\/21?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 883686.4 decades in months?\nAnswer: 106042368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f + 301. Let w(b) = -3*b + 76. Give 6*a(d) - 22*w(d).\nAnswer: -6*d + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*w + 87*w + 227*w**2 + 89*w - 258*w to m*w + a + z*w**2 and give z.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422.499 years to millennia.\nAnswer: 2.422499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgg when three letters picked without replacement from {f: 6, b: 1, g: 2, h: 2, u: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 - -191. What is the second smallest value in 3, x, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/1)\/(-2))\/(12\/(10\/(-5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.632336 centuries?\nAnswer: 63.2336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 36833*u - 36607*u. Suppose b + 2 = -5*j + 6, -3*b + 12 = 5*j. Solve j = -u*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 12, 18, 24?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 7:33 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 - -208.8. Let k = g + -207.98. Let s = k + -0.02. What is the second biggest value in -3, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {x: 15, d: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6323.083 decades in years?\nAnswer: 63230.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.11521255 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 7*r - 9. Is 11 a factor of l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -0.0164.\nAnswer: 2.9836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f - 2. Let z(b) = 39*b + 36. Calculate -2*d(q) + z(q).\nAnswer: 19*q + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 18631461*l**2 + 37262919*l - 18631459 = 0. Calculate l.\nAnswer: 1, 18631459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 - 9*b**2 + 6*b - 5. Let r be m(5). Suppose 5*w - r = 5*l, w = -2*w - 5*l + 105. Calculate the greatest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -l + 1, 5*z - 7 = -2*l + l. Let i be (-1)\/(-2)*-4 + l. Suppose i = -4*j + 3*j + 3. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-14) - 4\/14. Let l = -0.08 + -0.02. Let y be (-1)\/(116\/145 + (-1)\/(-5)). Which is the closest to y? (a) 3 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/771 in -0.0039, 0, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 906 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n**2 - 110*n + 101*n + 8 - 2*n**2 + 9. Let g be 15*(-4)\/((-120)\/18). Let q(w) = -3*w**2 - 2*w + 4. Give g*q(m) - 2*l(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:39 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - 416. Let c = d + 336. Let b = 0.02 + 0.24. Is c less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28799774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 85. Suppose -i = -24*f + 23*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let b be (-2)\/(-10)*(y + -4). Let c be (0\/4 + (-1 - 2))\/3. Is c < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 40. Let n = b + -6. Is -1\/4 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 20*n + 16. Let s(a) = 5*a - 1. Let d(y) = -4*y + 1. Let v(f) = 6*d(f) + 5*s(f). Let z(o) = b(o) - 16*v(o). Calculate z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (10 + 1)\/((-5)\/15). Suppose -t = -4*o + 162, 211 = -0*o + 5*o + 3*t. Suppose -2*m = -p - o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/12 + 7*h**5\/15 - h**4\/4 - 19*h**2. Factor z(g).\nAnswer: 2*g*(g + 3)*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 5 + 1)*(-4*b + 21*b + 23*b) - 5*b + 0*b - 2*b)*(-2 + 2 + 2*b) to the form g*b**2 + v + x*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2375240 + -2375250.99993. Let l = 115 + -104. Let x = n + l. Round x to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dduvuvvd. Give prob of sequence ud.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29458 divided by 22?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8866208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/15 + b**3\/2 - 13*b**2. Is z(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - o - 10. Let a be m(0). Let c = 18 - a. Suppose 3*n - c = 8. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/7 - 4*s**2 + 176*s\/7.\nAnswer: -4*s*(s - 4)*(s + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j\/(j*j**(1\/3))*j)**(-34) assuming j is positive.\nAnswer: j**(-986\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*p + 130*p + 13*p)*(2 - 5 + 0).\nAnswer: -336*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r - 113*r = -252. Solve -2*s - 10 = -3*y - 19, -3*s + 2*y + r = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102\/239 + 15745\/2868. Let c = -41731\/16 + 2605. Find the common denominator of j and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -2. Let t = 21 - y. Calculate the remainder when 19 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -4*k - 145*k + 45844. What is the highest common divisor of 730 and k?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10)*o*o**(-5)\/o*o*o*o**(-10)*o\/o**6 assuming o is positive.\nAnswer: o**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 2*q**2 + q + 8. What is x(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 356*q + 1. Let o(z) = 98*z**2. Give o(d(a)).\nAnswer: 12420128*a**2 + 69776*a + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-37))\/k)**(-2\/5)*k**(2\/63)*k**(-1\/53))**(2\/5) assuming k is positive.\nAnswer: k**(494602\/83475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2. Let r(l) = -15*l. What is r(z(v))?\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 7)*(-6651282*h + 6651282*h + 6480*h**2).\nAnswer: -25920*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose -14 - 14 = -z*f. List the prime factors of 3 + (f - (-1 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/67656 and -39\/304.\nAnswer: 2570928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/99 + (-196)\/(-63).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 1}. Give prob of picking 1 m and 1 a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7119 (b) -0.3 (c) 0.1 (d) -2\/7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -190*a - 6728 + 3698 = -618*a - 30422 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 11 = -5*s, -5*d + 0*s + 31 = 4*s. Suppose -2 - 4 = -3*y. What is the second derivative of 5*o - y*o + o**4 + d - 3 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 times -5574?\nAnswer: 11705.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 374700629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 7, p: 4, j: 2}. What is prob of sequence npn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21373?\nAnswer: 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 24*o. Suppose -a - 32*m - 16 = -28*m, 5*m = -a - 20. Let k(y) be the first derivative of a*y + 0*y**2 - 5 + 2\/3*y**3. Give k(c(i)).\nAnswer: 1152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 k when four letters picked without replacement from mcekccmemmkmk.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, x: 2, q: 10}. Give prob of picking 1 x and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -14.9. Which is the closest to -0.1? (a) 2 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g + 4. Let f(y) = -15842*y - 1068. Calculate -f(u) - 267*k(u).\nAnswer: 13706*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose -k*j + 240 = 2*j. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -508, 1, 5, -2 in increasing order.\nAnswer: -508, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z - 4 + 5 + 3*z + (-4 + 6 + 2)*(3 - 3 + 2*z).\nAnswer: 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0208 - -0.9208. Which is the closest to v? (a) 2 (b) -2\/11 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -14. Let f = p + 4. Factor 0*x**3 + 0 + 1\/2*x**f + 0*x - 1\/2*x**4.\nAnswer: -x**2*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + 0.7. Let f = k + 0.03. Round f to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x**3 - 2*x**3)*(2*x**2 - 6*x**2 + x**2) + (-x**4 + 6*x**4 - 3*x**4)*(5 - 5 - 3*x) + 0*x**5 + 0*x**5 + x**5.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 2*y**2 - 5*y**2)*(-5*y**2 + 3*y**2 + 3*y**2) - y**4 + 0*y**4 + 3*y**4 + 2*y**4 - 5 + 5 + 610*y**4 - 261*y**4 + 300*y**4.\nAnswer: 652*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 421*a**3\/3 + 207*a**2\/2 - 4*a - 12. Is z(50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01969351 rounded to four decimal places?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 176*v**2 + 28*v - 29. Give p(1).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 42\/(-1))*1 + 18 + -23. Solve -50*r - 162 - a = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+2738.8\nAnswer: 2738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (4 + sqrt(68) + sqrt(68)*2 + sqrt(68) + sqrt(68) - sqrt(68)))*2 + (2*sqrt(68)*6 + sqrt(68) - (sqrt(68) + -3*(1 + sqrt(68)))))**2*6.\nAnswer: 6600*sqrt(17) + 255726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 860\/(-3784)*-1*(-12)\/(-5)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/14)\/(32\/(-56)) - 1485\/(-220).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2975?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 9*i + 8. Let p be k(-8). Suppose p = 5*f - 11 - 39. Suppose -a = -57 - f. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 59*j - 59*j - j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 1. Let f be p(4). Let c = 22 + -16. Solve 0 = l + 4*k + c + 9, -l + f = -3*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -257812 + 257812 - 13665*a as x*a + v and give x.\nAnswer: -13665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (204\/(-5))\/6 + 28 + -22. What is the closest to 1 in t, -29, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1836 divided by -612?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18735 is divided by 372.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716095.1 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 11905395?\nAnswer: 1\/3968465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314381072?\nAnswer: 2, 181, 108557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**7\/280 + v**6\/160 - 2*v**2 + 3. Let q(z) be the second derivative of l(z). Suppose q(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c**2 + 2*c + 2. Let x(k) = 35*k**2 + 33*k**2 + 35*k**2 - 108*k**2 - k**3 - 1 + 6*k. Let f be x(-6). Let g be y(f). Solve g*o + 2 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*((-30)\/(-765)*85)\/(-1*(-88)\/(-6))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*(-1)\/(-6). Let l = 7.166 - 7.106. What is the smallest value in v, l, 0.4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510 (base 7) to base 8.\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9582012 is divided by 106.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, 0.18, 3, -1\/51?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 6. Let g be k(7). Let l be 1\/(-2) - 0\/g. Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Let h(g) = g**3 + 18*g**2 + 5*g. Let l be h(-12). Let c = -4007\/5 + l. Is k at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52542644 and 1302.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkkfkifkvfjkifjjfif. What is prob of sequence kfjj?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*12*15\/(-300)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1989, 2\/3, -0.03, -7, -5?\nAnswer: -1989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u. Let a(d) = 4*d. Let o = 80 - 72. Let m(f) = -o*f - f**2 + 4*f - 9*f - 28. Let q be m(-10). Determine q*g(v) + 5*a(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 117, 257, 459, 729, 1073, 1497?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -321*l**4 - 375*l**2 + 550*l**2 - 32*l**3 + 609*l**2 + 322*l**4 - 24*l**3.\nAnswer: l**2*(l - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-8) - (996\/48 + -10). Let x(s) = -s**3 - 12*s**2 - 26*s - 42. Is x(y) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 - 8*j - 9. Let p be a(-5). Suppose -2*k - 6*i + i = -94, -5*i + p = 3*k. What is the remainder when k is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 3*c**2 - c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(270) - sqrt(270)))\/(sqrt(9) - sqrt(36)\/(sqrt(4)*-1)))\/(sqrt(10) + 5*sqrt(40) - (sqrt(110) - (sqrt(110) + sqrt(110)*-2))\/sqrt(11))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35 * 11.3\nAnswer: -395.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 62. Determine m(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0*g**2 - 6*g**2 - g**3 - 3 + 3*g - 2. Suppose 0*y = -4*y - 28. Is q(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5186?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*q + 0*q + 25 = 0, 2*k - 4*q - 10 = 0. Let v be 5\/(k\/3) + 0. Solve v*p - 4 = 7*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + 38 + -91 - (1 + -2 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by 1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 5*x**2 - 6 - 6*x**2 - 2 - 1 to m*x + h + y*x**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgykgkkykkk. Give prob of picking 1 g and 1 k.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from {b: 6, i: 3, n: 2, k: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*d*l**2*t**2 - 374*d*t**3 + 2*l**2 - 2*l*t**3 + 307*l*t + 12*t wrt d?\nAnswer: 18*l**2*t**2 - 374*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8790)\/(-5)*17\/17?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-40)*l)**(-21)\/(((l\/(l**(-6)*l)*l)\/l)\/l*l\/(l\/((l*l**20*l)\/l))) assuming l is positive.\nAnswer: l**772","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -17*o + 90. Let y be i(5). Suppose -3*z + 4*n + 1505 = 0, -y*z + 1291 + 1194 = -2*n. What is z rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:16 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 95 = -d + 259, -3*d + 5*q + 452 = 0. Suppose -2*x = -r - d, 3 = -x - r + 72. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6883470*p**3 + 3*p**2 - p - 1136738.\nAnswer: 41300820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 386698 and 107?\nAnswer: 386698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 47, -9, 36 in ascending order.\nAnswer: -9, 4, 36, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 108993198 divided by 2?\nAnswer: 54496599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9.1. Let p = -0.12 + 0.82. Let c = 0.6 - p. Sort c, s, 3\/5 in increasing order.\nAnswer: c, s, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) - -3*(sqrt(800) + sqrt(800)*2) - sqrt(800)*-2*4)\/(-2*sqrt(36)*6*-6).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-6) - 7\/21. Let i be -6 + 0 - 0\/(-1). Let d = i + j. Let r(m) = -m - 3. Let u(a) = 1. What is d*r(t) + 4*u(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a factor of 204296161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4 + 9*z - 1472*z**2 - 6*z + 1488*z**2. What is f(2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w - 3. What is the units digit of (9\/2)\/((-3)\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 3*l - 4*l)*(-1 + 0 + 3).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 2*g + 2*g)*(-6 + 1 + 0) + (-5 + 2 + 2)*(5*g + 9*g - 7*g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -127*l**2 + 287*l + 4. Let z(k) = 126*k**2 - 288*k - 3. Let w(d) = -3*n(d) - 4*z(d). Find the second derivative of w(y) wrt y.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/210 + 17*l**6\/360 + 31*l**5\/180 + 23*l**4\/72 + l**3\/3 - 5*l**2 - 15. Find b such that h(b) = 0.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/8 + 7*b**2\/8 - 3*b - 45\/2.\nAnswer: (b - 5)*(b + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117379\/16 + 7339. Let f = 632\/11 + -1279\/22. What is the common denominator of z and f?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122724 at most as big as -122724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*u - 9*u = -14, k = u + 7. Solve -3*a = -2*p + 8, k*p - 11 = 4*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 128 - -1a70?\nAnswer: 1b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 11*m + 1. Let c be f(11). Factor 1 - c + 3*o**4 - 5*o**4 + 2*o**2.\nAnswer: -2*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155818900 rounded to the nearest one hundred thousand?\nAnswer: 155800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(468) - (sqrt(468) + -3*sqrt(468) + 4))**2)*2.\nAnswer: -288*sqrt(13) + 8450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + w = -37, -2*k + 2*w - 21 = 9. Let j = k + 21. Let l(f) = f**2 - 6*f - 5. What is the units digit of l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 19. Let v be 36\/(((-18)\/4)\/(-3)). Suppose 3*h - 11 = o + a, o + v = 5*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r**2 - 5*r + 394. Does 10 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94682 divided by -14.\nAnswer: 6763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let d = -0.2 + 0.1. Which is the third biggest value? (a) i (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -2.04. Let k = y + 2.019. What is k rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -247. What is the common denominator of 141\/s - 2\/(-3) and -85\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n - 64. Let y be w(-26). Suppose 2*x + y = -4*j, x + j - 54 + 178 = 0. Let t = -123 - x. Calculate the greatest common divisor of 22 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.96 or -1?\nAnswer: 3.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8286102?\nAnswer: 2, 3, 11, 41849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f**1\/f*f))))**(2\/5)*(f\/(f**(-5\/6)*f))\/(f*f**9) assuming f is positive.\nAnswer: f**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*((-8)\/32)\/((-1)\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 16 - f - 34 to the form t*f + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105798237 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -36*v**2 + 15*v. Let x(d) = -1543*d**2. Calculate q(x(h)).\nAnswer: -85710564*h**4 - 23145*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - (-20)\/5) + 6. Solve -4*k - 2*b = -10, 5*b + 1 = 2*k + m*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 78. Suppose 0 = -4*z + u + 9. Let q(f) = 2*f**2 - 7*f - 8. Calculate the remainder when q(6) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - -11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 2:51 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 2 (c) 526 (d) 41 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z. Let y(c) = 56*c**2 - c - 1. Let n(j) = 3*x(j) + y(j). Let o be n(1). Suppose -2*m = -0*m - o. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 2*s = 156, 6*s - 134 = 3*m + 4*s - 50 - 53 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 798 times 1\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220 - -658\/3. What is the nearest to 14\/9 in 1, a, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y**2 - 5*y**2 + 2*y + y**2 - 6*y to o + v*y + s*y**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1537 + -1458. Calculate the lowest common multiple of a and 3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253205510 (base 6) in base 15?\nAnswer: 671783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/3 + 2 - 6\/(-54). What is the second biggest value in 1\/10, 5, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -97. Let p be 1\/(15\/l)*(-2 + -8). Let u be ((-45)\/(-12))\/5 - (-18)\/p. Solve -4*a = 3*d - 4, u*a - 2 = -2*d + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46286 divided by -46286.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakaakkkka. What is prob of sequence ak?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o + 4*p - 24, -2*o - 3*p + 28 = 0. Suppose 4*r = 3*n + 2*r - 6, -o = n - 4*r. What is the closest to -0.2 in 2, 3, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 39. Solve -6*q - 15 = -s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-8)*-2 + 7. Let h be (-3)\/(-6) + (-2)\/l. Let k be -1*h\/((-25)\/5). Solve k = 4*s - 3*g + 8 + 24, -5*s + 3*g - 37 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6)\/9)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/23*(-1432)\/(-11456)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3356461\nAnswer: -3\/3356461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14700777, -29401537, -44102297, -58803057, -73503817, -88204577?\n\"Answer: -14700760*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**2*o**2 + 22673*f**2 + 1050*f*o**3 - 2*f*o wrt o.\nAnswer: 12*f**2*o + 3150*f*o**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from hhkljmjmp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2944 or -2943?\nAnswer: -2944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -0.0305.\nAnswer: -0.5185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:12 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2356820 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 36\/21 - (-472)\/(-14). Let p = a + 138. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 239*t - 242*t - 21, 0 = 3*k + 4*t - 90722. Is 58 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*a - 32 - 14, -3*y = 4*a - 38. Let f = 1402 + -1397. What is the remainder when y is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-19536)\/(-1078))*7*168\/18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 45 - 24 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249610*j**4 + 31698*j + 2.\nAnswer: 2995320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -630 + 945. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46955630523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 9*q**2 - q**3 - 3 + 2*q - 2*q**2 - 4*q + 3*q**2. What is w(8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -51. Which is the biggest value? (a) i (b) -3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -50\/13 (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 = 34*u + 410 - 316 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 10*j**2 - 2*j + 20. Let s be k(10). Suppose 3*r - 22 = -2*p - 1, -p + 2*r - 7 = s. Sort -1, 4, p in decreasing order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6511, 12964, 19423, 25888, 32359, 38836, 45319?\n\"Answer: 3*b**2 + 6444*b + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r - r + 110 - 114. Let l be s(-6). Solve l*z - 4*f + 13 = -1, -5*z + 3*f = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.14902 and -4?\nAnswer: 20.59608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.5 - -33. Let h = 0.49 - 0.11. Let c = h + -0.08. Put f, c, -3 in ascending order.\nAnswer: -3, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2. Let g(f) = -27*f**2 - 3. Let p be (-2)\/(-5) - ((-108)\/(-45) + -5). Let m(c) = -296*c**2 - 32. Let j(s) = p*m(s) - 32*g(s). What is r(j(u))?\nAnswer: -1152*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 8*p**2 + 9*p - 1. What is r(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from iodwzwwww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500897 is divided by 901?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005879494 to seven decimal places.\nAnswer: 0.0005879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 12 - (-95)\/25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 15*x**2 + 17*x + 9. Let n be q(-16). Let l be (-5 - n)*-2 + 26\/1. Let z be 4\/l - ((-265)\/55 + 2). Solve -z = 4*p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from hxxhhhsxxxhhhwhhh.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 12*q - 7. Let s(a) = -a**2 - 8*a + 4. Let z be s(-7). Let j be o(z). Solve f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-211)\/((-9284)\/(-264))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (1 - -4) - (120 + -135)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 6 = 0. Suppose -y*b + 4 = -b. What is the tens digit of b\/6 - (-56)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**7\/504 + 2*s**6\/3 - 96*s**5 + 7*s**4\/24 - s**2 - 14*s. Let p(a) be the second derivative of m(a). What is h in p(h) = 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1392 - 40*h**2 - 1392.\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1697.1 - 1697. Which is the nearest to 1? (a) f (b) 0 (c) 0.3 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4, -172 in descending order.\nAnswer: 4, -2, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 12*s**3 + 4*s**3 + 2*s - 12*s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97 in -0.4, 3.8, -91?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-920) + 0)*12. Which is the biggest value? (a) -3 (b) 1 (c) 2\/3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102125540 to the nearest integer?\nAnswer: 10106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*d**2*i**3 + 168*d**2 - 3*d*i**3 - 2*d + i**3 - 21*i**2 wrt d.\nAnswer: 44*i**3 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(2*(sqrt(45)\/sqrt(5) + sqrt(9)))*-6.\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 - -50. Let x be -13 + 83\/(-1) + 3 + -1. Let m = y + x. Calculate the remainder when m is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**3 + 16*p**2 - 4*p - 17. Let c(t) = -31*t**3 - 52*t**2 + 12*t + 51. Let q(j) = 2*c(j) + 7*k(j). Determine q(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 72*u - 1382 = 967 + 1515 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 33*a**2 + 23*a + 25. Let t(j) = -16*j**2 - 12*j - 13. Let v(p) = 6*i(p) + 11*t(p). Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1209, -1210, -1211?\n\"Answer: -u - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*s + 57 = -x, -x + 4*s = 26. Let o = x - -12. List the prime factors of (-15)\/(-12)*(-72)\/o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -19. Let l = 17 - n. Let p = 15.064 + l. Round p to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-27 - (-9 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1891171 to the nearest ten thousand.\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(2 + -4 + sqrt(539)).\nAnswer: -42*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 484 + -484.00000343. Round m to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/72 - 105\/(-24). Suppose 4*h + 1 = z*w + 13, -w = -4*h + 3. Is 7\/79 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 2*o**2 - o - 14. Let a be u(0). Let s = a + 18. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l - 20 = -36*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 2*a - 5, -a - 5*o + 6 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 + z + 316 - 4*z + 2*z + 248.\nAnswer: -z + 733","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9 = 23*o - 17*o, -o + 16 = 4*m. Solve -3*i - p - 10 = 3, 10 = 2*i - o*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 - p**5 + 3*p + 6*p**5)*(0 + 3 - 1).\nAnswer: 6*p**5 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 78*g - 128040 = 0. Calculate g.\nAnswer: -220, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-4*j**4 - 3*j**2 + 3*j**2) + (2 - 2 - j**2)*(-j + j + 3*j**2).\nAnswer: -7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4788*y**2 - 5*y - 2. Let a be h(-3). Suppose -a = -6*q + q. Suppose 3021 = -2*o + q. What is o rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/50*2*-2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 + 5 = 0. Let f = -1\/3 + n. Solve -2\/3*r**5 + 0*r - 2\/3*r**4 + 2\/3*r**2 + 0 + f*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by 10.\nAnswer: 104\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/y)**(18\/13)*y\/(y\/(y*y**(-3)))*y*y*y**0*((y*y*y*y**(-2\/7)\/y*y*y)\/y)**(-16)*(y**1*y)\/y**(2\/7) assuming y is positive.\nAnswer: y**(-3958\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1374 and 93170253?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/15699 and 37\/33.\nAnswer: 172689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 2\/11, 12, 133, -0.4 in decreasing order.\nAnswer: 133, 12, 2\/11, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(288) - ((sqrt(288)*-1 + sqrt(288))*-3 - sqrt(288))) + 5 + (sqrt(288) - (sqrt(288) + sqrt(288)*-3 + sqrt(288))) + -1)**2.\nAnswer: 576*sqrt(2) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 9*x + 11. Let c = -66 + 57. Let b be m(c). Suppose -b - 20 = -w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 7*m**2 + 2*m + 4. Let b(p) = -p**2 - 2*p + 4. Let l be b(-2). What is the units digit of r(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8813.258 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644.42 rounded to the nearest 10?\nAnswer: -2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-91) + 480\/(-2106).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23a - 32aa6?\nAnswer: -33124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21120112211002 (base 3) to base 8.\nAnswer: -17267426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 12\/(4 - 1). Suppose 3*h + 16 - 37 = p*z, 5*z = -3*h + 48. Solve -3*f - 13 = 2*f - m, 5*f - 2*m = -h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26425579 equal to -26425566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -110.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -15. What is the remainder when 45 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10030 - -10068. Solve -16*j + v = -42 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87333883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (4 + -3 - -2). Suppose -n + 25 - 5 = v. Calculate the greatest common factor of n and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -5 (c) -46 (d) 4 (e) -1\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4253 + -4241. Solve 4*f - y*f = 15*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 - 29*n + 18. Is 9 a factor of b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 18 - (-201 + 208)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8511127 is divided by 10096.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**4 - 2*d**3*n**2 + 180*d**2 - 21*d*n**2 + 109*n**2 wrt d?\nAnswer: -48*d**2 - 12*d*n**2 + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 742\/(-212) + 3\/((-36)\/(-44))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4808, 4, -2, 9, 33 in ascending order.\nAnswer: -4808, -2, 4, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 53*w - 4. Calculate the remainder when j(3) is divided by 5\/(1 - -84) + (-7282)\/(-187).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/2808 and 97\/294684.\nAnswer: 5304312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Suppose -7*q - 406 = m - 2*q, 2*m - x*q + 784 = 0. Round m to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 14*u + 11. Suppose 3*b = -2 + 23. Is o(b) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 9:37 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*l**3\/2 - 425230*l**2 - 7232992205*l\/2 - 1446530405.\nAnswer: -5*(l + 17009)**2*(5*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5027*n + u + 11 = 5032*n - 24, 0 = -4*u + 20 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00596313196 to seven dps.\nAnswer: -0.0059631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12404 + 12402.8. Which is greater: r or -955?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22365\/8 or -2797?\nAnswer: -2797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3969 + -198.0969. Round f to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -26722*(195\/(-13))\/15?\nAnswer: 2, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 1 - 11*i**2 + 9*i**2 + 22*i + 4*i**2 - 2*i**2 - 3*i**2 + 4*i - 2*i**2 - 4*i + (1 + i - 1)*(0 + i + 0) to the form f + r*i**2 + p*i and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 1. Let x be 0*((-21)\/(-14) + -1). Suppose x = -5*j + 15*j - 40. Give s(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n + 6. Let p(m) = 5*m**2 - 22*m - 11. Let i(w) = 2*w + 1. Let x(b) = -22*i(b) - 2*p(b). Give t(x(h)).\nAnswer: -40*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 782221 and 6853.\nAnswer: 5475547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 716165856 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*v - 66*v - 243*v.\nAnswer: 254*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**7\/420 - a**4\/8 - a**3\/6 - 4*a**2. Let y(m) be the first derivative of r(m). Find the first derivative of y(u) wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3189.8*-9.\nAnswer: -28708.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 39*w**3 - 3*w - 4 + 15*w**4 + 1 + 27*w**2 - 3.\nAnswer: 3*(w + 1)**3*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104230271 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: Calculate the remainder when 5684898 is divided by 2669.\nAnswer: 2597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25200 divided by 315\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/2 - 1039*b**2 - 55253*b\/2 + 127162 = 0?\nAnswer: -2051, -31, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -74 (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 2)*(35 + 8*w**3 - 35) - 3*w**3 - 2*w**3 - 3*w**3 to z + l*w + j*w**3 + y*w**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a6294 (base 12) in base 2?\nAnswer: -1001011000000000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/67817 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769589467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/33 + 0)\/((-78)\/(-117)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**7\/84 + g**6\/12 + 423*g**5\/40 + 2167*g**4\/24 - 3025*g**3\/6 - 5140*g. Determine z so that a(z) = 0.\nAnswer: -11, 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007734657729 to seven decimal places.\nAnswer: 0.0000773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -543 + 579. What is the highest common divisor of 192 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(153)*2 - sqrt(153))*3*-1)\/((sqrt(441)*-1*2 - sqrt(441)) + sqrt(441))*-4*5.\nAnswer: -30*sqrt(17)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/14 (b) -0.1 (c) -13 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*u + 190190, 4*a + 2*u = 283040 - 29450. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(3 - 5*w**2 - 3 + 2*w**2 - 2*w**2 - 2*w**2 + (1 - 1 + 2*w)*(4 - 4 - w) - 3*w + 3*w + w**2 - 3 + 3 + w**2 + (-3*w + 4 - 4)*(2*w + 0 + 0)).\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 335652067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/3, 2\/167, 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4))\/u**(-6)*u**(-3)*u*u*u**(-4) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 4*u**2 + 8*u**2 + u - 2. Let d be c(-1). Solve 4*f - 2*f = -2*t - 2, d = -f - 5*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -74*b**3 - 2*b**2 - 6*b + 2. Let k be d(4). Let s = 38241\/8 + k. Let z = 1708 - 10195\/6. Find the common denominator of s and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**4 - 4572*f**3 - 1391936*f**2 - 48523008*f - 273014784 = 0?\nAnswer: -552, -32, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*p - 66714 = -44898 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:37 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 269 - 83. Let b = a - 186.00000395. Round b to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 8 = o + 11*z, -4*o - 3*z + 150 = 0. Calculate the greatest common factor of o and 45177.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14451779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 296 = -116. Let b = 68 + t. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -450 + 455. Suppose -w + 76 = 4*a, -9*a + u*w + 40 = -8*a. Let i = -16 + 30. What is the remainder when a is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -288 - -293. Suppose -2*y - 3*t = -72, -h*t - 62 = -11*y + 10*y. Let p = 2 + 4. Calculate the highest common factor of y and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/16 and 123\/4928.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5\/5 - 548*l**4\/5 + 5052*l**3\/5 - 11848*l**2\/5 + 10742*l\/5 - 3396\/5 = 0?\nAnswer: -283, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1086*j + 3112*j + 298136 = 606*j for j.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/20 - l**4\/4 + l**3\/6 + 3*l**2 - l. Let d be f(5). Let w = d - 25. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*u - 10 = 0, 0 = 4*f + 293*u - 292*u - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2871994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6 - 2)*(-70)\/21. Suppose a = -2, 60 = -g*o + a + 437. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1891859599 - 8*h**2 - 1891859599.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1148122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3194*z**3 - 12920636649 + 6373*z**3 - 3182*z**3 - 14643*z**2 - 23824161*z.\nAnswer: -3*(z + 1627)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5656.96874507 and 4.\nAnswer: 5660.96874507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -281*-0.13\nAnswer: 36.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m + 2 - 1\/15*m**5 - 1\/8*m**4 + 1\/840*m**7 - 1\/160*m**6 + 0*m**3 + 6*m**2. Factor l(r).\nAnswer: r*(r - 6)*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167825 minus -0.23682232?\nAnswer: 167825.23682232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-32))\/((-9)\/(-8)). Let a = -2 - -1.4. Let l = -0.1 - a. What is the smallest value in s, 5, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12690*t + 8. Let u(g) = 2*g. Calculate y(u(i)).\nAnswer: -25380*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 183, 169, 155?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -335, -2, 5828 in decreasing order.\nAnswer: 5828, -2, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 5*z - 11*z to the form m*z + c and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*u - 43 - 75, 2*u = -2*d + 50. Let x be (-2)\/(-8) - (-206)\/8. Let r = 10 + x. Calculate the greatest common factor of d and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1818, 3632, 5450, 7272?\nAnswer: 9098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0871216m in centimeters?\nAnswer: 8.71216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782315457?\nAnswer: 79, 3623, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 15*o**3 - o**2 + 5 - 2*o - 2 - 2. Give s(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80481 - 4?\nAnswer: -80485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 11*v = -102. Suppose -4*c - 46 = 42. Let f = c + v. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332643883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**2 + 953*n - 478*n - 3*n**2 - 475*n.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884896 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 659618 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: Convert 58 (base 16) to base 11.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 46, 65, 90?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + z + 23 = 0, -83*h = -86*h - 2*z - 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3935756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(170)\/(sqrt(1440)*2).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-178)\/(-445) + 6\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001193 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v + (-2*v + 3*v - 4*v)*(-2 - 2 + 2))*(-v - v + 3*v)*(30*v**2 - 28*v**2 + 80 + 63).\nAnswer: 10*v**4 + 715*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77.531 + 77.5438212. Round n to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10020336 divided by -1712.\nAnswer: -5853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46706387.21 - -46706528.20999533. Let o = l - 141. What is o rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-5)\/3)\/(-2)*2\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 398 - 395.83. Round u to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 5 + 12)*(-8*j**3 - 3*j**3 + 14*j**3 - 4*j**3) as v*j**2 + k + y*j + o*j**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 - 139 = 29*z - 187 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 11*h - 2 = 9*h, -32 = -5*w - 4*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) -61 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4\/5, -1\/2, -30, 15\/8, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1432*i + 1392*i - 2000 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from ffffcfcfffcffcffffcf.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:15 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2082974 - 2083854.571. Let j = -881 - s. What is j rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178136 and 44534.\nAnswer: 178136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by -14.\nAnswer: -291\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.695 - 7.8. Let f = s + -0.105. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13427*f**2 - 46395*f.\nAnswer: 26854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from {q: 4, j: 5, e: 1, v: 3}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 3*h - 1. Let d be f(-2). Let c(v) = -v**3 + 4*v**2 + 12*v - 42. Let l be c(3). Is l + 1 + d + -12 + 1068 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95474.\nAnswer: 2, 47737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -12\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 196685 a multiple of 695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -24*c + 2688. Let x be u(112). Let y(p) be the second derivative of x + 9*p + 0*p**2 + 0*p**3 - 1\/6*p**4. Solve y(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-549)\/366*(-2)\/26).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2b?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10102011221211 (base 3) to base 2\nAnswer: 110111010111110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 3. Let g be l(-8). Suppose -3*c + 196 = 4*a, 3*c - 245 = -g*a + c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9306 - 9298. Solve z*s = -38*s + 368 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 6\/7*d**2 + 0*d**3 + 0 - 3\/28*d**4 + 26*d - 3\/140*d**5. Factor c(q).\nAnswer: -3*(q - 1)*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 340, -5, 310, -3, 3, -4 in ascending order.\nAnswer: -5, -4, -3, 3, 310, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**5\/6 - 25*u**4\/24 + 5*u**3\/2 + 4*u**2. What is j in v(j) = 0?\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195459504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4938 + 4942. Solve h = -x*j + 2*h + 10, -22 = -4*j - 5*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73, 505, 1675, 3955, 7717?\n\"Answer: 62*w**3 - 3*w**2 + 7*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i + i - 5*i + (-2 - 3 + 4)*(2*i - 4*i - i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 590*j - 62*j + 403*j to r + d*j**2 + l*j and give l.\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, 3239, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 7 - 15. Suppose 5*i - 1 - g = 2*t, 5*i + 2*t - 8 = 0. Let j be 1 + i - 5 - -6. Is j not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 576 - 572. Solve -g + 0*g = 3*q - 8, -5*g + 7 = o*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 22*y + 121. What is f(4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12244150131 + -5?\nAnswer: 12244150122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1062\/95 + 58211\/665. Let o = 99 - c. Sort -0.5, 3\/5, o in increasing order.\nAnswer: -0.5, o, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/113 at least as big as -295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142602800.\nAnswer: 2, 5, 17, 67, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + 2*q)*(89*q - 89*q + 24*q**2).\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2 - 2)*(-8*i + 3*i - 6*i) - 15*i**2 - i + 6 - 7 + 16*i**2.\nAnswer: -10*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 32*y**3 - 56. Let d(o) = 3*o**3 - 5. Give -56*d(l) + 5*j(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 118 (b) -1797 (c) -0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 16864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7bb (base 15) to base 14.\nAnswer: 1024c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = k, -5*k - 13 = -5*p - 8. Find the third derivative of -201*h**2 + 55*h**2 + 111*h**3 + 5*h**3 + 25*h**k - 49*h**3 wrt h.\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*m - 93 = 0, 60 + 246 = 3*k - 3*m. Suppose -9*n = -6*n - 27. What is the greatest common divisor of n and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**2 - 5. Let m(v) = -8*v**2 - v + 7. Determine -2*m(i) - 3*w(i).\nAnswer: -5*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 20. Let m = 14 + f. Let b be ((-47)\/(-15) + -3)*-3. What is the second smallest value in b, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 50.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, z: 6, s: 3, w: 1}. What is prob of picking 4 z?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.977883 rounded to three dps?\nAnswer: -1.978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6427919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 399, 400, 401, 402, 403?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 261, 973, 2159, 3813, 5929, 8501?\n\"Answer: -s**3 + 243*s**2 - 10*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 6)\/5 - 0. Solve x = -c*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695828 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: Solve 0 = -3*l + 26*p + 653, 4*l + 211*p = 206*p - 121 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/7*(-10)\/8*78\/975*-10?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -845, -1839, -2827, -3803, -4761, -5695, -6599, -7467?\nAnswer: -8293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6937026.5 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/567?\nAnswer: -2\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -11. Let n = -6 + h. Solve 5*m - 9 = n*q, -6*q + 2*q = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10769 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((10 - 1 + 6)*(-2 - 2 + 3) + 4 - 6 + 1)*(3*z - 3*z - 2*z)*(-4 + 2 + 3) to the form q*z + m and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:13 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 4, -2.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 34. Let f(t) be the third derivative of 3*t**5\/20 + 1589*t**2. Determine k(f(p)).\nAnswer: 18*p**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 10*b**2 + 84*b - 422. What is r(5)?\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 5*c**6\/6 + 7*c**2\/2 - 7. What is the second derivative of i(h) wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/125*(-10)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a - 421 + 421.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 31300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose -t*z + 13 = 4. Suppose -a - z*a + 15 = -o, -15 = a - 4*o. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/8725 and -79\/6975?\nAnswer: 2434275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -489 + 491. Solve o*b + 23 - 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/55 (b) 65.7871 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1054012*v*w + 103059*w wrt v?\nAnswer: -1054012*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -970, -0.5, 0, 2 in descending order.\nAnswer: 2, 0, -0.5, -970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2)*r)\/r**1)\/(r*r**(2\/3)*r*r)**36)\/((r\/r**(-2\/7))**(-28)\/(r**2)**(-11)) assuming r is positive.\nAnswer: r**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 + 397\/2. Let n = 37\/6 + h. Put -1, 1\/8, n in increasing order.\nAnswer: -1, n, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 5*w**2 - 4*w + 18. Calculate q(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 28*b**2 - 77*b - 159. Calculate o(-2).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2a7a (base 12) to base 14\nAnswer: 1b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 3574811.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 4, 3, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyuzmy. Give prob of picking 1 z and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -90. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (6 - (25 - 13 - 28)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70168 is divided by 13949?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 22*j - 30 - 29)*(-5*j + 2*j + j).\nAnswer: 44*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 4203*j + 31. Let z(m) = 5*m**2 - 4203*m + 36. Determine 7*n(k) - 6*z(k).\nAnswer: -2*k**2 - 4203*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68536844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 628836493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2231 or 2229?\nAnswer: 2229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2379 + 2376 + (-1 + -2 - -6 - 59).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-45) + (-12237)\/(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 7. Let q = w - -11. Let a(s) = -28*s**3 + s**2 + 2*s + 1. What is the remainder when 82 is divided by a(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7823.\nAnswer: 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6880.56 + 6883. Is d less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.4 (c) -50 (d) -23 (e) 0.08 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1250a + 1996?\nAnswer: -10624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2332, 9321, 20968, 37273, 58236, 83857?\n\"Answer: 2329*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219 + 355. Suppose -2*q - 3 = -5*q, -2*g + 2*q = -2. Suppose -g*x - v - 3*v = -u, -x - 5*v + 62 = 0. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*l + 4924 + 2258. Put 5, l, -1 in decreasing order.\nAnswer: l, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-129)\/2408 - (-120)\/91.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*g, 48 = 3*a + 2*g + g. Suppose 3*d = -4*w + 2*d + 9, 0 = 5*w + 3*d - a. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 3205 + 1107 = 0. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 90011*i**2 + 90013*i.\nAnswer: -i*(i - 1)*(2*i + 90013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 + -132. Let i = h - 95.4. What is the smallest value in 3, -2, 35, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775 + 1558 - 783 - 13*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 64566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/48)\/(2\/8) - -10. Suppose 4*n = 3*c + 1837, -l*n + 2298 = -2*n - 2*c. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 - 5*t - 2. Let o(h) = -h**2 + h. Let f = 5 + 0. Suppose 0 = -4*i + f - 25. Give i*o(a) - j(a).\nAnswer: -a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95814 by 7.\nAnswer: -95814\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 + 3*r - 4. Let k be b(4). Let d = k - 19. Suppose d = 5*c - 24. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 83*a + 13 + 1 - a**2.\nAnswer: -a**2 - 83*a + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/9))\/c)\/c*c**(-1)*c*c*(c\/c**(-1))**(20\/13)*((c\/c**(2\/7))**(2\/69))**(6\/11) assuming c is positive.\nAnswer: c**(593854\/207207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-210)\/4*80\/60. Let d = -59 - w. Let m(x) = x**3 - 12*x**2 + 12*x + 10. What are the prime factors of m(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0439 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-18) + ((-290)\/12 - 1). Let h = -9 - r. Calculate the highest common factor of 48 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28731796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631656, -1263311, -1894966, -2526621, -3158276?\nAnswer: -3789931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 417 + -122. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:37 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 377*b + 20358. Determine d(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133202 (base 7) to base 11.\nAnswer: -17984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 2, e: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*u + 6, -5*u - 26*b = -29*b - 29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/64? (a) -0.1 (b) -4 (c) 2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-3)\/n*n)\/n**4)\/(n**3*n**1))\/((((n*n**(2\/5))\/n*n)\/(n\/n**(-1\/5)))\/((n**(-1)\/n)\/n)**31) assuming n is positive.\nAnswer: n**(-516\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*g**2 + 3 + (5 + 41*g - 307*g + 3*g - 96*g)*(3*g - 2*g - 2*g).\nAnswer: 357*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 10, -1, 4\/7, -5, -6\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*26\/260\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 1\/4 (c) -2\/21 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 5, k: 2, b: 3}. Give prob of sequence uub.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 42086026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 11*k + 31. Suppose 4*u - 12 = 0, -29 = 2*z - 4*z - u. What is the remainder when r(-11) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-12)*168\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 3 + (-3 + 1 + 3)*(-4 - 4 + 6))*(0*b + 3*b - 5*b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 627939.\nAnswer: 2\/209313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177976 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 206623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 18 = 0. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 185?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/8)\/(18\/72))\/((-4329)\/(-11544)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 5. Suppose 0 = -s*k + 2*k - 264. Let i = k - -69. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, 15, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555 (base 7) in base 10?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 10*j**2 - 8*j - 34. Let t be x(11). Let l be t\/4*456\/(-38). Solve -4 = -d - l*g + 2*g, -20 = d - 5*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2 + 76008*d - 1518560 = 0.\nAnswer: 20, 18982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 4)*(-q + 1 + 0*q - q)*(70*q - 42*q - 39*q) in the form v*q + r*q**2 + n and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u, -r + 2*u - 88 = -3*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076265?\nAnswer: 3, 5, 23917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1819145205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -3. Suppose -t + 4 + 2 = 0. Let m = 12366 + -12363. Solve 3*a + 6 = -o*r - 2*r, 4*r = -m*a - t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63205.\nAnswer: 5, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d6d + -1?\nAnswer: -2d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d - 110 = 0. Let a be 8\/((-40)\/(-45)) - 9. Sort 5, d, a in descending order.\nAnswer: 5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 587 = -271. Suppose 5*h + 56800025 = y, 4*y + 73*h - 227200025 = n*h. Round y to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - p**2 - p - 1. Let f(u) = -30*u**3 - 2*u**2 - 2*u + 23. Let v(m) = 2*c(m) - f(m). Differentiate v(i) wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 9*l**3\/2 + 3*l**2\/2 - 3*l. Let j be y(-5). Calculate the common denominator of (-246)\/j + (-4)\/(-22) and 59\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19892*u - 1625*u - 7927*u)*(-4*u**3 - 3*u**3 + 4*u**3).\nAnswer: 88332*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/75)\/((-12)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/15 and -43\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 250147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5070599 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 13. Let h be q\/63 + 4083\/27. Let t = h - 225. What is t rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 30, 3\/2, 0.07, -1\/3819?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 8*z + 5*k + 45, -5*z + 7*k = 4*k - 280 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60366486 and 11898?\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1168 and -0.17151.\nAnswer: -0.020032368","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3102202132 - 13311?\nAnswer: 3102122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcv when four letters picked without replacement from vncvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608*d - b + 0*b = -1606*d, -b - 3 = -3*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242506 and 373725.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + (-3 - -5). Let d = 1 + -1. Suppose 0 = p - 5*p + 20. Solve -3*y + p = -u*s, 1 + d = -s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*z + 82*z + 139*z.\nAnswer: 418*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1191, 4815, 10863, 19341, 30255?\nAnswer: 43611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (-2)\/(-13) + 297\/13.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 - 5*p**2 - 3*p**4 + 4*p**2 + (3*p**2 + 3*p**2 - 5*p**2)*(-16*p - p**2 + 16*p) + 2*p**4 + 0*p**4 - 3*p**4.\nAnswer: -p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15442*t + 14381 wrt t?\nAnswer: 15442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -5, 5, -44, 0, 23 in decreasing order.\nAnswer: 23, 5, 0, -5, -44, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0582, 3, 4, 1\/2, 1\/6, -2.78?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286923\/25 + (-1 - 0) - 678\/(-8475).\nAnswer: 2, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2251 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11960 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 16*y**2 - 58*y - 13. Let o be l(4). What is the greatest common factor of 1331 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 3*v**2 - 4*v + 1. Let l(t) = t**3 - t. Let x(i) = -6*l(i) + 2*q(i). What are the prime factors of x(-4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:45 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:32 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1210 - -157?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2432105 + -3?\nAnswer: -2432111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6 + -2)\/((-1 - 13)\/924).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10 - z**2 - 2*z + 8 + 7. Determine c(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-16) + (-10)\/8. Let l = z - -5. What is the derivative of -3 - 2 - 1 - l*d**2 wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -15677*b**2 + 7932*b**2 + 7744*b**2. Let u(h) = 6*h**2 + 6*h**2 - 6*h**2. Suppose -4*d = -0*k - 5*k - 12, 0 = d + 2. Calculate k*u(g) - 21*m(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/9, -2\/9, -34\/37, 0.06?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 1 - 1)*(0 + 3 - 5) + 4 - 4 + 9*k + (1 - 1 - k)*(0 + 3 - 4) - 64*k - 26*k + 62*k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v = -97*v - 333 - 657 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**3 - 3*n**3 + 1 + 5*n**3. What is m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3382 + -3010?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and 64.2?\nAnswer: 64.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4803118079.\nAnswer: 59, 151, 443, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311 - -11?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 14) to base 11.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 37\/7 - 6\/21. Calculate the remainder when 30 is divided by 8\/z*(1 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 2 k when four letters picked without replacement from zzxzkkxkxmxxvxy.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 11:49 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(76))*-6 - (-4 + (-1 + sqrt(475) + 1 + sqrt(475))**2).\nAnswer: -1884 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j - 9. Suppose 3*g + g - 20 = 0. Let k(m) = 5*m + 9. Let n(l) = g*k(l) + 6*s(l). Give n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16\/24 - 764\/(-6)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22709239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 85. Suppose 5*l - n = 424, -4*l - 4*n = -j*l - 174. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*f + 3*i, -6*f + 3229 - 3223 = -3*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/70840 and 131\/488796?\nAnswer: 4887960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/14))\/(u\/((u\/(u**(-2\/3)*u))\/u*u)*u)*(u**(-1\/3))**(26\/5) assuming u is positive.\nAnswer: u**(-449\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*s + 2212 = 1 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10328733*p**3 + p + 46525.\nAnswer: -61972398*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126222144869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292337?\nAnswer: 3, 143593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07502 - -0.16502. What is the third smallest value in v, -2\/13, 0.4, -0.37?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209\/45 + 49\/9. What is the closest to 3 in 2, c, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 141*r - 4. Let f be j(3). Let a = -5815\/14 + f. Find the common denominator of a and 1\/((144\/(-10))\/4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -5*a**2 + 0 + 0*a + 1\/200*a**6 - 1\/100*a**5 - 1\/40*a**4 + 1\/10*a**3. Find h such that c(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 16*s**2 - 2*s - 41. Let r be p(8). Let m = 683 - r. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n + 6193 + 4467. Let g = 823 + n. Solve -g*s = s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -337 - -350. Suppose -z - 5*d + 55 = 0, d = 2*z - 75 - o. What is the greatest common divisor of 405 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131511 + 165019 = -4562*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from ccqj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-7))\/((-7)\/98). Let t(v) = v + 5. Determine t(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24\/5, -38, 0, 2.17 in decreasing order.\nAnswer: 24\/5, 2.17, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 578264?\nAnswer: 14456600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209350?\nAnswer: 2, 5, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3\/8, -8484\/9287?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + j + 8. Let i(k) = 2*k**2 - 3*k + 24. What is i(t) - v(t)?\nAnswer: 3*t**2 - 4*t + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 108 = -5*q + 118, -3*r + q = -8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1728) + sqrt(1728))\/(sqrt(48)\/(sqrt(8) + 1*sqrt(8))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49803 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 13*x**3\/3 + 2*x**2 + x + 996. Let n(p) = 7*p**2 + 2*p + 1. What is -6*j(q) + 11*n(q)?\nAnswer: -q**2 - 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a0834 (base 11) in base 8?\nAnswer: -4177171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -13. Suppose j - l*j + 150 = 0. Let k be (j\/9)\/((-1)\/852000). What is k rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -714 - -752. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28975, -28974, -28973?\nAnswer: -28972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17741*o - 2950*o - 4568*o + 13449*o + 2027*o.\nAnswer: 25699*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2 - x - 3. Let d be j(-7). Suppose -d*m = -18 + 6. Calculate the remainder when 13 is divided by (m + 2)*(1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 1364.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/5, 2, 0.114.\nAnswer: -33\/5, 0.114, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 0*i**2 - 2*i**2)*(2 - 2 + 6) + (3 - 3 + 2*i)*(-3 + 3 + 3*i) + 174*i**2 - 311*i**2 - 51*i**2 as l + y*i**2 + r*i and give y.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.2 + -21.629. Let s = 0.029 + r. Sort -1\/2, 1, -2\/21, s in decreasing order.\nAnswer: 1, -2\/21, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-3 - (1 - 1)). Suppose 4 = 4*i - 0*i. Calculate the remainder when 7 is divided by (2 - -1 - q)*i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -619, -1189, -1759, -2329, -2899?\nAnswer: -3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1520.\nAnswer: -7600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16203 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 - 18*w**2\/7 - 264*w\/7 + 576\/7.\nAnswer: 3*(w - 12)*(w - 2)*(w + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/6)\/(-5) + (459563\/1610)\/(-53)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*0.006187.\nAnswer: -0.06187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 8:00 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**3 - 26*p**2 - 26*p. Let b be v(-4). Solve -3 + b = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 a, and 2 b when four letters picked without replacement from kckubba.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - p + 1. Let j(f) = -361*f**3 + f**2 + 1554*f + 7. Let v(u) = j(u) - 7*q(u). What is the third derivative of v(x) wrt x?\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4914096 by 264.\nAnswer: -18614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2))**(-2\/21)*c**10\/c**(-3) assuming c is positive.\nAnswer: c**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from dtdtdtddtddddd?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -263.\nAnswer: -262.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64892 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 + 120*d + 72*d + 42 - 146 + 11*d**3.\nAnswer: -6*d**3 + 192*d - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 40. Let d = -8 + c. Find the second derivative of 2*u**2 + u - 2*u**2 - u**d wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3542 and 88.\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/2*(-6)\/(-5). Let d be (-6)\/(2\/(-8)*s). Let f = 4.94 + 0.06. What is the smallest value in d, f, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z**2 - 4 - z**2 - 7*z - 1. Let u be v(8). Suppose 4 = -2*i + 3*j - u, -j = 3*i - 17. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let y(n) = 2*n - n + 5*n + 2*n**2 + n. Suppose 4*w - 4*k = -10 - 6, -3*w = 2*k - 13. What is w*y(l) - 6*p(l)?\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/8)\/((-23)\/4). Let i(d) = -d**2 + 10*d - 17. Let o be i(8). Which is greater: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 4. Let y be s(-5). Let t be (y + 1)\/3 - 0. Let q(k) = t*k + k - k - k**2. Let z(p) = 2*p**2. Give q(z(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = u + 17, -5*u + k = -u + 56. Let g = 17 + u. Suppose p + g = 6. Solve -1 = 3*h - p*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 31351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1058 = 213*r - 859 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*a*x**2 + 3*a*x + 216*x**2 + 2*x - 751 wrt x?\nAnswer: -88*a + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 140. Suppose 5*j = 27 + p. What is the lowest common multiple of j and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/13)\/s)**(-5\/8) assuming s is positive.\nAnswer: s**(15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 6*-4*sqrt(65) - sqrt(65))*-5*-6)\/(sqrt(6480)*2*2).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 9*t**9\/56 + t**7\/210 + 413*t**5\/60 + 2*t**2 + t. Find the third derivative of m(i) wrt i.\nAnswer: 9720*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87276 and 180684?\nAnswer: 187730676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 475 by -1.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 8, -5, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let v(b) = 6 - 21 + 3*b + 9 + 3. Determine v(c(d)).\nAnswer: -6*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153.061 + 153. Let m = -0.139 + n. Let s = -0.2 + -0.3. What is the nearest to 0.1 in s, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123879317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 - 4 = 0. Suppose 490 = 7*w - u*w. Calculate the remainder when w is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -151, 1099, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 20*k + 165. Let a(s) = -s. What is a(t(u))?\nAnswer: -20*u - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37593.\nAnswer: 3, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bfd - -272?\nAnswer: e6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -530675\nAnswer: -530615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.5, -1\/42, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/11, 5 in descending order.\nAnswer: 5, 3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.44 (b) -0.2 (c) -30 (d) 5 (e) -2997\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)*z**(3\/4))**(-50) assuming z is positive.\nAnswer: z**(-425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(-1) + 104. Suppose 2*w - q = -2. What is the remainder when w is divided by (-114)\/(-4) - 219\/146?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 10 - 14*s + 13*s**2 - 2 - 3. Let l be m(-14). Differentiate -l + 4*h**2 + 0*h**2 + 15 - 3*h**2 with respect to h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 558581347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {w: 4, g: 2, v: 1, t: 2, k: 1, c: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 713*f. Let x(t) = t**2 - 547. What is o(x(n))?\nAnswer: 713*n**2 - 390011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 95*n - 214. Let q be t(18). Suppose q = c + 541. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 46.2. Which is the closest to -1? (a) -4 (b) 3\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419 (base 13) to base 8\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*h + 189*n - 414 = -301*h, 3*h = 2*n - 5 + 37 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 394 and 905412?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2320 - -31?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = -16. Let b = l + 10. Let m = -6 + 9. Solve -b*n = m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 o, and 1 j when four letters picked without replacement from {o: 1, e: 1, j: 2, l: 1, i: 2, h: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3*18\/24. Let c(g) = -2 + 7 - y + g + g**3 - 6*g**2 + 7*g**2. Give c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:22 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 9\/2 (b) 29\/4 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 5*n**2 + 2*n - 12. Let p be m(5). Let y(t) = -104*t**3 - 3*t**2 + 2*t + 1. Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 622419 or 622398?\nAnswer: 622419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005204725 rounded to 6 decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -910400 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Let y(l) = -4*l + 90. Let p be y(22). Let t(a) = -18*a**2 + 30*a**2 + 45*a**2 - 17*a**p + 41*a**2. Give d(t(b)).\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517038 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450432 is divided by 612606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-88) - (-10908)\/396\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/20976 and -137\/228?\nAnswer: 20976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6) - (-18)\/8. Let c = -5\/4 + r. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (7 - 13) + (70 - 61) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*j**6 + 4*j**5 - 940*j**3 - 14*j**2 + 5455.\nAnswer: 2040*j**3 + 240*j**2 - 5640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -10.9. Which is the closest to w? (a) -0.12 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/9)\/(((s*s*s**(-2\/11)\/s*s)\/s)\/s))\/(s**4\/(s\/(s**(-6)*s*s))))**(-1\/7))**(-11) assuming s is positive.\nAnswer: s**(95\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22*27\/297*(-6)\/16*8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -762*x - 9. Let t(z) = -11429*z - 132. Let a(f) = 44*j(f) - 3*t(f). Let r(v) = -v**2. Give r(a(y)).\nAnswer: -576081*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4432418 + 0.071\nAnswer: 4432418.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76737313 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*y - y. Let k(w) = 27*w + 2. Calculate the remainder when k(1) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1179, 3823, 8221, 14367, 22255, 31879, 43233, 56311?\n\"Answer: -h**3 + 883*h**2 + 2*h + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 27. Let x = 21 - o. Let k = 32 - 15. Calculate the remainder when k is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2477622?\nAnswer: 2, 3, 7, 58991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k + 6 = -2*v, -k - 2 = v. Suppose -2*s = -5*i + 167, 4*s - k = -6. Suppose 0 = -x + 50 + i. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -10.1389901?\nAnswer: 10.3389901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 0*q + 3*q)*(-q + 2*q + 0*q) + 981 + 53*q**2 - 270*q - 50*q**2 + 268*q.\nAnswer: 2*q**2 - 2*q + 981","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -931.368 + 925. Let c = p + -0.032. Let a = c + 6.369. Round a to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20773583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**4 + 230*l**3 + 6*l**2 + 13983*l. Let p(j) = 2*j**4 + 2*j**3 - 5*j**2 - 3*j. Let y(h) = 3*p(h) + t(h). Find the second derivative of y(b) wrt b.\nAnswer: 24*b**2 + 1416*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2829135212 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n - 30. Suppose -2*y + 8 = -0*y, f + 10 = 2*y. Let o be (-36)\/n + f\/2. Solve -3*z + o*a = z - 29, 0 = z - 2*a - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/40 and 111\/25280.\nAnswer: 25280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1210 divide 4652448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4573*k + 11. Let v(j) = 918*j - 2. Calculate 6*r(u) + 33*v(u).\nAnswer: 2856*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/4496946 or -1?\nAnswer: 13\/4496946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0751386 to 4 decimal places.\nAnswer: 0.0751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifij when four letters picked without replacement from {c: 3, i: 1, f: 8, p: 6, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*4\/8*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53\/14 + -2\/7. Calculate the common denominator of ((-3025)\/30)\/5 - -3 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - y - 11 = 2*y, -3*y = 4*x + 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25708829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.45 + 1.6. Let j = -0.15 + m. Suppose 4*n + 451 - 411 = 0. Which is the closest to n? (a) -2 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (20 + -19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 17*d - 25. Let v be z(-15). What is the closest to -43 in 0.5, -5\/2, v?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 18*z - 76. Let h be w(5). What is the lowest common multiple of ((-90)\/(-20))\/(1\/h) and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 12 = -5*d, 3*a - 18 = -4*d. Let x(k) = k - 10. Let c(f) = f - 1. Let h(u) = 6*c(u) - x(u). Let n(j) = 4*j + 3. What is a*n(v) - 5*h(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*v + 43*v - 32. Suppose 4*b - 3*u = 285, -3*u = 4*b - v*u - 283. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (170\/(-30) - -6)*21. Solve -3*o + j = -t, 4*j = 3*o - j + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*o + 2*o - f, 2*f = -o. List the prime factors of ((-18)\/o)\/(3\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -3*t**2 + 0*t - 3\/2*t**3 - 30 - 1\/24*t**4. Determine m(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1473 + 2636. What are the prime factors of c?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16684 - 16735. Which is the fourth smallest value? (a) -1 (b) w (c) 2\/27 (d) -0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.37 - 0.63. Put 0.04, 5, 3, b in ascending order.\nAnswer: b, 0.04, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(3\/5))*y**5*(y**(-1\/3))**(-46) assuming y is positive.\nAnswer: y**(296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 8. Let k be d(11). Suppose 0 = -7*v + k*v. Suppose -3*l = 8*t - 3*t - 32, v = l + t - 12. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 9*m**2 + 6*m**2 - 5*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2365.60436 to one dp.\nAnswer: -2365.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.09, 5, -1317, 0.1 in descending order.\nAnswer: 5, 2, 0.1, -0.09, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*16\/1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 6*z**2 + 10*z - 7. Let l(t) = -2*t**3 + t**2 + t + 1. Let n be l(-1). Suppose 2*a = 5*a - n*r - 24, 0 = -a - 3*r. Does 20 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63949\/11 + -5818. Find the common denominator of d and -35\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + 5)*(-2)\/(-4))\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(6\/24*1*20)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {f: 5, t: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**4 - r**2 - r. Let i(k) = 51*k**5 + 8*k**4 + 4*k**2 + 11*k - 6. Let w(v) = 4*d(v) + i(v). Find the second derivative of w(t) wrt t.\nAnswer: 1020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -75. What is the remainder when (2\/(d\/38))\/((-51)\/408) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*m - 358, 2*m - 99 = -j + 81. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 57 = -5*b. Let p be ((-4)\/b)\/(10\/15). Suppose 0 = -4*l + 3 + 1. Is l greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7627911?\nAnswer: 3, 19, 163, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*(-1)\/4*(-12)\/(-28). What is the smallest value in -2, b, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*f + 266 = 260*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7 - 1 - 2*i**2 + 30*i + 25*i + 3 to o*i**2 + y*i + k and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 2288.87.\nAnswer: 2292.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172 and 40?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, p: 3}. Give prob of picking 4 o.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvdd when four letters picked without replacement from dvqndvku?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100921269 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 67099.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2283, -9125, -20529, -36495?\n\"Answer: -2281*s**2 + s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -83*w**3 - 66*w**2 + 5*w - 25. Let q(y) = 84*y**3 + 67*y**2 - 4*y + 20. Let m(k) = 4*b(k) + 5*q(k). Find the third derivative of m(a) wrt a.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 e when three letters picked without replacement from bbebyyl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 1, -2, 7.33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a hour in seconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 + -7 + 16 - (2 - 1). Suppose 0 = 6*t - 205 + 31. Put 2, -5, t, q in increasing order.\nAnswer: -5, q, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c*g**2 - 66*c*g - 5*c + 11076*g**2 wrt c?\nAnswer: -3*g**2 - 66*g - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*h = -75, 27*h = -41*i + 43*i + 32*h + 27 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57364 and 10?\nAnswer: 286820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 2 in ascending order.\nAnswer: -5, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x. Let i = 0.1 + 0.1. Let h = 0.2 - i. What is the nearest to x in h, 2\/3, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21018366 divided by 6.\nAnswer: -3503061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 946*y**4 - 689?\nAnswer: 3784*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -28*a**3 - 2*a**2 - a + 2. Is l(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24747192007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7574 is divided by 1840.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5141308 rounded to 4 dps?\nAnswer: -0.5141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7)*n**1*(n*(n*(n*n**(2\/7))\/n)\/n*n)**(-4) assuming n is positive.\nAnswer: n**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:17 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 1073?\nAnswer: 197432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -510 + 514. Suppose b*y - 12*l = -9*l - 70, 2*y + 24 = -4*l. Is -17 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070 is divided by 130?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -24. Let m(k) = -k. Let n(o) = o**2 - 2. Determine z*m(l) - n(l).\nAnswer: -l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 468506541 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*k - 117371 - 32820. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 526.14, -0.054 in ascending order.\nAnswer: -0.054, 0.2, 526.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:29 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44346 and 73910.\nAnswer: 221730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9052956 and 8052?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 46 + 95 - 102*s**3 + 108*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -67.9, -1, 0.059 in increasing order.\nAnswer: -67.9, -1, 0.059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1219177704*r - 1219177704*r + 5*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1403 - -1420 - (36 + -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36481 is divided by 1520.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*x**4 + 17281*x**3 - 12*x**2 - 50682.\nAnswer: 696*x + 103686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*d + 1 = 2*d, k - 5 = -2*d. Let a(y) = -4 + y - 7*y + 8*y. What is the units digit of a(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*a - 5708 + 5708)*(41*a - 21*a + 39*a).\nAnswer: -6254*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*z + 45*z - 85 = 38*z. Let y(d) = -3*d + 4. Determine y(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/5)\/(f\/(f*(((f\/((f**7*f*f)\/f*f))\/f)\/f)\/f)))\/(((f*f**(-5))\/f)\/(f**(6\/5)*f)))**16)**(14\/11) assuming f is positive.\nAnswer: f**(-4032\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 207220*h**3 + 10*h.\nAnswer: 207220*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(2\/28). Let d(t) = 6*t + 6. Let x(u) = 11*u + 12. Let o(z) = 5*d(z) - 3*x(z). Let g be o(y). What is the highest common divisor of g and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37\/7 in -0.23, 2\/3, 2\/19?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215126369\/1001490 - -1222320\/4769. Let t = -40865 + 81525673\/1995. Let h = d - t. What is the common denominator of 5\/24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 divided by 154?\nAnswer: -45\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7*45\/(-105))*-9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 16*m - 3. Let i be b(15). What is the highest common divisor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i**5\/8 + 27*i**4 + 717*i**3\/8 + 81*i**2\/2 - 39*i\/2 = 0.\nAnswer: -2, -1, 0, 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/10)\/2 - 0. Let x = 0.0457 + 0.0031. Let c = -0.1488 + x. What is the biggest value in -1, -2, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 16*b**2 - 40*b - 93. Let y(h) = -h**3 - 5*h**2 - h - 3. Let d be y(-3). Let z be s(d). Put -5, -1, z in decreasing order.\nAnswer: -1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16*h - 31. Let k(j) = -12*j + 15. Let c(t) = -2*d(t) - 5*k(t). Let n(p) = 5*p**2. Calculate n(c(x)).\nAnswer: 3920*x**2 - 3640*x + 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 942 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3268\/5 + 656. Let d be 9\/(-5)*(54 + -55). Factor d*p + i*p**2 - 3\/5.\nAnswer: 3*(p + 1)*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 491 + -488. Suppose -q + 4*m = -374, 5*m + 449 = o*q - 694. Calculate the smallest common multiple of 20 and q.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*r - 8. Let f be -1 + (r - -3) - -3. Let k = -0.141 - -0.541. What is the nearest to -15 in k, 5, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2172179908?\nAnswer: 2, 4027, 134851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1197 and 1475635.\nAnswer: 13280715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**3 - 22*j**3 - 15*j**3 + 114*j**3 - 21*j**3 - 26*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251\/4 - (-15)\/(-20).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + t = -33. What is the second derivative of -4*p**3 - 31*p + 4*p**3 - 4*p**3 + t*p**3 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6028 is divided by 1925.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/20)\/((-6)\/20*420\/30)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 76, 162, 282, 436, 624?\n\"Answer: 17*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) -4\/3 (d) 3\/1741\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 22956106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a factor of 2670822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 675 + -133651\/198. Find the common denominator of k and (27 - 10511\/414)\/((-7)\/(-5)).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 40 = 4*o, 10*j - 5*j + 5 = -5*o. Factor -27*t**2 + j*t - 1 - 4 + 15*t**2 + 13*t**2.\nAnswer: (t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -381 + 1212. What are the prime factors of -8 + l + -5 + -4?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59064919.\nAnswer: 17, 1549, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935226808?\nAnswer: 2, 116903351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-2\/15)\/((k\/(k**(-2)*k)*k)\/(k\/(k\/(k\/(k**(-1)*k)))*k)) assuming k is positive.\nAnswer: k**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7. Let u(b) = -b + 6. Let z = -9200 - -9193. Determine z*u(k) - 6*p(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 31, 92, 183, 304?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 16*t**2 - 59*t - 10. Let l be z(10). Let s(k) be the first derivative of -3\/2*k**2 + 7 + l*k + 2*k**3. Determine w, given that s(w) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2577 by 7828.\nAnswer: -2577\/7828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 - g. Let s be x(1). Let m(k) = -k + 5 - s + 16*k. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let d be m(4). Let h be (9 + 1\/((-2)\/6))\/(-1). Let w be 1\/h*d*0. Which is the third biggest value? (a) w (b) 1\/6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 - y + 4. Let m(q) = -6*q**2 - 2*q + 5. Let f(a) = -3*m(a) + 4*w(a). Determine f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 44 = 3*b, -y - 2*b = -6*y + 148. What is the highest common factor of 84 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**2 - 2*l + 17. Let q(z) = -4*z - 11. Let o be q(-6). Let h(m) = -4*m**2 - m + 8. What is o*h(t) - 6*r(t)?\nAnswer: 2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -390*v**3 + 9*v**2 + 12065*v?\nAnswer: -2340*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-33))\/((1245\/830)\/(27\/2)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 353*q**3\/3 + 1319*q - 480. Find the first derivative of o(t) wrt t.\nAnswer: 706*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 8:53 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*u - 10 = 5*q - 962*u, -3*q = -14*u + 39 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3521 is divided by 874.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -810973 * -0.3.\nAnswer: 243291.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 127*d**2 - 903*d - 361. Calculate v(10).\nAnswer: 3309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 17}. Give prob of picking 1 c and 3 y.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -m - 1, -3*v = 2*m - m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 4, -108 in descending order.\nAnswer: 4, -3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(2\/(-40))\/((-3)\/18). Solve 4*h - k*w - 4 + 0 = 0, 0 = -w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236 + 154. Let r = b - -102. What is the lowest common multiple of 10 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2399872 by 64.\nAnswer: 37498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 1. Suppose -8*r = -9*r + 1. Let z(q) = 2*q + 4. What is r*z(b) + 5*f(b)?\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 - 48*o - 2. Let p(k) = -7*k**2 - 51*k - 2. Give 5*j(a) - 6*p(a).\nAnswer: 7*a**2 + 66*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -8.984\nAnswer: -3.5936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 331 - 6. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23139?\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 477*y**2 - 55*y + 57. What is the least common multiple of 4 and v(1)?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.089 + -8.389. Let p = -13.87 + -0.13. Let i = 20 + p. Sort i, l, -1\/4 in increasing order.\nAnswer: l, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/208)\/((-126)\/(-72))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -235 - -204.1. Let p = 23 + d. What is p rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11351 is divided by 2566?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -1001100000001?\nAnswer: 1001011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 3. Let k = u - -1.8. Let g = 2.4 + k. Is -8 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402291254?\nAnswer: 2, 3, 7, 13, 2568299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.3 (c) -0.251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2\/2 + 9*c - 5478. Let y be (0 - -2)\/(6\/(-24)). Determine t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*1\/(-3) - -1. Suppose -b*c + 13 = 5*v, -3*c = 2*v - 2*c - 6. Solve v*p + 4 = -16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -7, -1.\nAnswer: -7, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.1 - 31.\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -58112.9 - -2.174\nAnswer: -58110.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2036*z - 6113. Determine o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -417366.32 rounded to the nearest 1000?\nAnswer: -417000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.002 and -5.5.\nAnswer: -5.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 487244412 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 2:00 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/5 + 66307*o**2\/5 - 1193769*o\/5 + 1074465 = 0. What is o?\nAnswer: -66325, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1298856 and 74\/374127.\nAnswer: 68839368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, v: 2, b: 7}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852328 by -6.\nAnswer: 426164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3802 is divided by 413?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/768*(-1)\/((-1)\/(-1)))\/(-1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*i**2 - 1 - 12*i**2 - 22*i**2 - i**2 - 1 + 7*i as m*i**2 + g + d*i and give m.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 2\/15 (c) 1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c + 10*c + 23*c + 1 - 1.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2008195\/11 - -182783. Let q = -220 + j. Let k = 8 - 7.6. Which is the second smallest value? (a) -0.02 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456962 is divided by 57120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 + 20*o**3 - 11*o**3.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q - 19. Is 15 a factor of j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 50*d - 53*d. Suppose d = 19*o + 4. Solve -o*n + 0 = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18))**1\/(z*((((z\/z**26)\/z)\/z)\/z)\/z*z)**(-12) assuming z is positive.\nAnswer: z**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -819*b**6 - 6*b + 1903*b**2 + 6*b - 4155*b**2 - 230*b**6 wrt b?\nAnswer: -125880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y**2 + 5*y**2 - 34*y**2 + (2*y - 4*y + y)*(0*y - 2*y + 3*y))*(0 + 2 - 4) in the form q + l*y + i*y**2 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -939957295+122694\nAnswer: -939834601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8981683 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-7075)\/1132)\/((1\/1)\/(-4))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1800)*-2 + 1 + sqrt(1800))**2*-3 - ((1 + sqrt(1800))*6 + 3)).\nAnswer: -5411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 98 = 13*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23 - -16) + 3\/2. Suppose -2*p + 4 = 3*d + 25, 12 = -4*d. Is p >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -5*y + 5*i + 20, -2*y - 4*i - 22 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/11400 and 121\/32870.\nAnswer: 1972200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 783 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76505\/3 - -4768796\/187. Calculate the common denominator of 47\/99 and i.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 9 = 65*a - 69*a, -a = -3*r - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*i\/(i*i**(-1\/6))*i)*i)**(6\/5) assuming i is positive.\nAnswer: i**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 98051480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/20 - 7*i**4\/12 - i**3\/2 + 4*i**2 - 92*i - 2. What is w(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u**2 - 13*u - 17. Let s(d) = 7*d**2 + 6*d + 8. Let x(q) = 13*s(q) + 6*z(q). Calculate the remainder when x(5) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(684) + -1) - (1 + -2*sqrt(76)))**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -19)\/(-20)*854\/42?\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 3. Let s(c) = 4*c - 6. Suppose -521*d + 508*d = -52. Give d*s(q) + 9*u(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2\/(-7) - 1292\/(-798). Factor -2\/3*a**4 + 2*a**2 - 8\/3 + 8\/3*a - b*a**3.\nAnswer: -2*(a - 1)**2*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y + 5*c = -31, 4 = 4*c. Let l be 7\/3 + (-6)\/y. Let x be l - (-3)\/(3\/(-16)). Is -13 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17 - 73 = 0. Calculate the remainder when l is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bd7ab0 - 2?\nAnswer: bd7aad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*s - 5*a, 3*s - 5*a = -7*a - 6. What is the biggest value in s, -3, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -1631?\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2146789 is divided by 854?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 20*y + 17*y + 4*y**3 - 3*y**3 - 7*y**2. Suppose -5*k = -2*k - 12. Let z(u) = u**3 - 4*u**2 - 3*u. Determine k*w(s) - 7*z(s).\nAnswer: -3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 2, r: 1, l: 2, k: 1, d: 1}. What is prob of picking 1 l, 1 o, and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzggzzgzgzkkk. What is prob of sequence kzgk?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20368 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6530622 and 309150.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -224100 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 85*p**2 + 36*p + 353. What is the least common multiple of 3 and g(-43)?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2\/(-1))\/((-6)\/9) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -465 - -854. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 - 3*z**4 + ((z - z - z)*(-2*z + 2*z + z**2) - 3 - z**3 + 3 + z - z**3 - z)*(-90*z + 85*z - 145*z).\nAnswer: 447*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + 1 + (174 - 178)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-1\/12)*r)\/r))**(-1\/29)\/(r\/(r*r**7*r)*r**(2\/27)*r) assuming r is positive.\nAnswer: r**(21575\/3132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-86)\/(-18) - (-104)\/18. Suppose -9*b + p*b = -12. Solve b*o - 2*z = -o - 21, 2*o = -2*z - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*f + 10 = 0, 2 = 5*u + 4*f - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2617 times -5.82?\nAnswer: 1.523094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Let o be 2\/15*s*-5. Factor y**2 + y**3 - 7*y**2 + o*y + 5*y**3 - 2*y**4.\nAnswer: -2*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 3 (c) -5393\/2 (d) -4\/5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 27 - 1 = -x, 2*l + 3*x - 21 = 0. Let u = l - 6. Let v be 3\/(-63)*61 + u. What is the second smallest value in v, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and -0.3?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/2*(-18)\/24. Let o = 8 + 0. Suppose 2*m - o = x*m. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*z - 2*v, 5*v - 2 = z + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 - 3\/(-4)*-4 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14270 + 8770 - 9212 = 513*l + 10938 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 3175 + 3175 - 23*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 36 = -5*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/173 and -18\/173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -2\/25*b**6 - 2\/75*b**5 + 0 - 1\/25*b**7 + 0*b + 0*b**4 + 3*b**2 + 7\/120*b**8 + 0*b**3. Find k such that v(k) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65\/16 or 4?\nAnswer: 65\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Let r(f) = f**3 - 7*f**2 - 7*f - 9. Let k be r(8). Which is the closest to k? (a) l (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - (3 - -3)\/3. Let n be (-4)\/(-6)*s\/(-4). Calculate the highest common factor of n and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from dnjjdjdyjjjojonjynnn.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s + 26*s + 49787 - 49787.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11100011101111001010?\nAnswer: 11100011101111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 6:17 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 14. Let d be m(-6). Suppose -d*l - 17 = -87. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1907, 1534, 915, 50, -1061, -2418?\n\"Answer: -123*j**2 - 4*j + 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-13*(152\/342)\/(2\/(-3))))\/(-12)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 12. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -5*h**4\/24 + 65*h**3\/2 - 58*h**2. Calculate the least common multiple of 10 and g(28).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w. Let o(p) = 5*p + 2. Let i(v) = -v - 1. Let n = 11 - 13. Let g(c) = n*i(c) - o(c). Calculate f(g(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (5346\/63)\/9.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9 - 7)*(2 + 3 - 6)*(1 + 0 + 0)*(3*u - u - 4*u) in the form w*u + p and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*s = 261*s - 9330 - 8895 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-9) + 18\/(-81). Suppose -d + k*m - 3 = 2*m, d + 6 = 5*m. What are the prime factors of d\/2*-1*28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37838204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2053*h + 75 = -2078*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/84)\/((-50)\/18))\/((-20)\/(-50))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -105.8073*-0.4\nAnswer: 42.32292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 3313959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 + 3234654 - 1617291 - 1617363.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3, 0*j + 11 = -3*j + 2*z. Let u be 23 - 15 - (-1)\/(1\/j). Suppose -u*t + 17 = 3*a - t, -a + 24 = 5*t. Is 31 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = 203 - 163 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + v - 14, -19*g + 20*g = 4*v + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2894514.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m + 2442. Let c be t(244). Find a, given that 2\/3*a**3 + 0 + 26\/3*a - 28\/3*a**c = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 6*y**2 + 0 - 11\/24*y**4 + 1\/120*y**6 + 2*y**3 + 0*y - 7\/60*y**5. Suppose 5*s - 11463 = -11423. Give w(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 426*p - 5472. Calculate the remainder when 1232 is divided by q(13).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189 - 95 - 10*f + 35*f - 91 - f**2 to r + y*f**2 + x*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose -2*b = t*b - 32. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*z - 45*z - 15*z - 37*z - 53*z - 3 + 119*z.\nAnswer: 58*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:51 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1014 and 9\/917332.\nAnswer: 2751996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -28, 0, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(117)\/(sqrt(18)\/sqrt(2) + sqrt(9)) + 0 + -5.\nAnswer: -1 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1818*a**4 - 9*a**2 + 45*a + 14. Let c(z) = 910*z**4 - 5*z**2 + 23*z + 8. Let i(b) = -7*c(b) + 4*l(b). Find the third derivative of i(n) wrt n.\nAnswer: 21648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*-1*-5*3.\nAnswer: 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*w**3 + 2*k*w - 187172231*k - 13633710*w**3 wrt w.\nAnswer: 6*k*w**2 + 2*k - 40901130*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -25, 2, 4 in decreasing order.\nAnswer: 4, 2, -5, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gznbhghhzh. What is prob of picking 1 z, 1 h, and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109636143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 15737, 0, -7, 4.\nAnswer: -7, 0, 4, 23, 15737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(-2\/15)\/i))\/i*i\/i**4 assuming i is positive.\nAnswer: i**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose 5 = -g - 0, a = t - g. Let h(p) = -p + 3 + 1 - 3 - 4. Calculate h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - i - 2*i)*(-120 - 113 + 22*i + 222)*(0 - 2 + 1)*(0*i + 2*i - 4*i) as s*i + t*i**2 + q*i**3 + r and give q.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = 0, f + n + 4 = -4. Let k be (-1)\/f + (-4)\/24. Solve -3*l - l = k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + 3 + (18 - 9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 743198 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.32 and -11.4.\nAnswer: -15.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + (-123 - -55) + 49?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2124 + 922. List the prime factors of u.\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*i*o**2 + 2*g**2*i*o - 2*g**2*i + 13*g**2*o + g*o - 3*i*o**3 + 6*i*o**2 wrt o.\nAnswer: -4*g**2*i - 18*i*o + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 z, and 1 f when four letters picked without replacement from zkkfkykkz?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 11*w - 6 = 0. Calculate the lowest common multiple of 2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 + 4*r + 8. Determine v(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -0.6. Let n = p + 1.2. Let g = -997 - -1000. Which is the third smallest value? (a) n (b) g (c) -2\/9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 6:15 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 2 (c) -5 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 130?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 12}. Give prob of picking 3 b and 1 s.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31.3 * -66\nAnswer: -2065.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a week in minutes?\nAnswer: 64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -930686, -930581, -930476, -930371?\n\"Answer: 105*z - 930791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 393.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.14 + 2.94. Let s be (-16)\/(-6)*(3 - (-116)\/(-48)). What is the third smallest value in s, w, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10815 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 22*h**2 + 4. Suppose -10 = 11*d - 252. What is the smallest common multiple of 26 and l(d)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/(-70) - 206649\/(-15)?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 90. Let d = -1.55 + 0.05. Let h = 1 + d. What is the third biggest value in 5, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 168*z**2 + 687*z - 213. Determine q(-172).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3 - (10 - 39)) + -3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3211*y - 13606. What is t(-5)?\nAnswer: 2449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 833 divided by -11357\nAnswer: -833\/11357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifvi when four letters picked without replacement from vyiyywifiiyi.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + b**4 - 2*b**4 + (0*b**2 + 3*b**2 - b**2)*(3*b**2 + 5*b**2 + 4*b**2).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f**5\/11 - 12*f**4\/11 + 12*f**2\/11 - 6*f\/11 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 8*g. Let l be c(-8). Suppose l = 5*p - 208 + 3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c - 31. Let o(i) = 2*i - 6. Let k(l) = -d(l) + 5*o(l). Let v(w) = -1. Determine k(s) - 4*v(s).\nAnswer: s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -11.8, 5, -4\/3, 4\/3 in descending order.\nAnswer: 9, 5, 4\/3, -4\/3, -11.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18817, 37628, 56439, 75250, 94061, 112872?\n\"Answer: 18811*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 5*o - 2*o + 10 - 3*o. Let m be a(-7). Suppose -2*r - 9 = -4*n + 5, n + 2*r = 11. Solve -n*k = -m*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxxgxxxxxrxxxx. Give prob of picking 1 j, 1 g, and 1 r.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 13. Let c be 8\/(-12)*(1 + -10). Let i be n(c). Differentiate -2 - i - k**2 + 5 + 1 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 81*q - 3897. What is l(34)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - -65. Does k = 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165769 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 + -3)\/(-2))\/(4\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1127440 by 80.\nAnswer: -14093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 11) in base 16?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4145 - 4145. Let g be ((-2 - -1) + 2)*5. Which is the biggest value? (a) m (b) -0.3 (c) g (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-36)*(3 + 3). Put n, -2, 70, 4 in ascending order.\nAnswer: n, -2, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - (5 + (sqrt(612)*2 - sqrt(612)))) + 5)*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) - (-9)\/(-21). Let j = -1267\/552 - -48\/23. Let c = -11\/24 - j. What is the closest to -1\/2 in c, 5, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/800 and (-126018)\/14000 - (-4)\/(-3)*(-5400)\/800.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 6 = -3*x. Let b be ((-63)\/x - -1)*-2. Suppose 4*s - 3 + b = 0. What is the second biggest value in 0, s, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*l + 2*h + 24, 4*l + 96 = 4*h. Let n be (-32)\/15 + l\/(-180). What is the third biggest value in -1\/3, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-1 + (1 + -9 - (35 - 37)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*(sqrt(152) + 2*sqrt(152)) - 2*sqrt(152)*-5))\/(sqrt(64)\/(sqrt(8) + sqrt(8) + sqrt(64)\/(sqrt(8)*-2))*3) + 5.\nAnswer: 5 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50509104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -16. Suppose c = -5*n - 14 + 34, 3*c + 11*n = 56. Solve -c = -4*r - j - 0*j, 23 = t*r - 3*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 625.\nAnswer: 2\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-7)\/(-7)*-5. Let y = 23 + s. Solve 11 - 43 = -y*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3415 and 11065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -80.2 - -46.3. Let o = 23 + h. Let k = o - -11. Which is the biggest value? (a) -2 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764259?\nAnswer: 3, 254753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/20*8\/3 - 91. Which is greater: c or -98?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 453121526*i**4 - 2672*i**2 + 3*i + 2793?\nAnswer: 10874916624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2*d. Let w be u(-2). Suppose w = 2*p + p - 21. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 28*j**2\/9 - 3830*j\/9 - 19600\/9.\nAnswer: 2*(j - 40)*(j + 5)*(j + 49)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 7*(-5)\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let b = 1 - k. Let p = -7.8 - -2.8. Sort p, b, 0 in ascending order.\nAnswer: p, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 5:41 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 13. Let u be p(7). Suppose 27 = r - u. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 252406?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 202.28?\nAnswer: -202.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(544\/102) + (-13115)\/366000\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, y: 3, r: 3, b: 1, k: 4}. Give prob of sequence rku.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 117, 123?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27829890 and 3762.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-249)\/83)\/((-1)\/169) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 66*c + 2449 = 0 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24420 and 72150?\nAnswer: 1587300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 457*m**6\/10 - 57*m**5\/5 + 2*m**2 + 464*m - 1. Find the third derivative of u(j) wrt j.\nAnswer: 32904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + -4.5. Let l = 60\/289 - 987\/578. What is the closest to x in l, 2\/9, 2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 38. Let j(n) be the second derivative of f*n + 1\/12*n**4 + 1\/6*n**2 + 0 + 1\/60*n**5 + 1\/6*n**3. Factor j(x).\nAnswer: (x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m)**(1\/18)\/(m\/m**(1\/2)*m*m*m\/m**5) assuming m is positive.\nAnswer: m**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 - b**3\/3 + b**2 - b + 174. Let a(h) = h**3 - 6*h**2 + 2. Let u be a(6). What is j(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12202112 + -131102?\nAnswer: 12011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*z = -499*z - 4*p + 16, -5*p + 240 = -15*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 813492851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:51 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*o - 2544*o + 22*o**3 + 12*o**3 + 2001*o.\nAnswer: 34*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/9 + 232425668*y\/9 + 6752711393155778\/9 = 0. What is y?\nAnswer: -58106417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 416.2 - 488. Let o = 0.382 - 72.382. Let r = o - u. Which is the nearest to -1? (a) r (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19499 - 11321. Suppose -x = 2*n - 8*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2392 by -26.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -25. Solve -3 = -3*t - 2*b, 4*t - 4*b - i = 17 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4141\/(-328))\/(-101) - (-351)\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26170, -52339, -78508, -104677?\n\"Answer: -26169*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 30 = -5*s, -3*y = -4*y + s + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 + 5. Let f = z - 0.8. Let r = f - -4.6. Which is the smallest value? (a) r (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502939251 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s - 38. Let x be n(-11). Suppose -x*q + 432 = -8*q. Calculate the highest common divisor of q and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -20 - (-2 - 81).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5 - 216*i**4 + 2812*i**3 - 7848*i**2 - 2816*i + 8064 = 0.\nAnswer: -1, 1, 4, 14, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-603 - 626 + 377)*(w + 2*w - 6*w) + 0 + 0 - w + (-2 + 0 + 1)*(0 + 0 + 2*w) + 2*w - 2*w + w.\nAnswer: 2554*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26501 - 1840985.948.\nAnswer: -1867486.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 142*z + 7901. What is h(-29)?\nAnswer: 3783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.08, -0.2, -0.0086?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17959984 to the nearest integer?\nAnswer: 4238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1673 in -4, -2\/17, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*d + 13*d - 2*d - 36*d**2 + 8 - 8*d.\nAnswer: -4*(d - 1)*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4 - 2. Let q be (6\/(1 + p))\/2. Let k(z) = -2*z - 1 + q. Let t(x) = -2*x**2. Calculate t(k(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 946, 945, 942, 937?\n\"Answer: -g**2 + 2*g + 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 657 = -5*d - 642, q - 12 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*o = 1237728 + 2347920 - 453498. What is the remainder when o is divided by 179?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 600002*k + 6. Let w be (2 + -11)*6\/18. Let n be v(w). Round n to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107562258851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 189*d**3 + 162*d**2 - 63*d + 21. Let l(c) = -19*c**3 - 16*c**2 + 6*c - 2. Calculate 21*l(t) + 2*z(t).\nAnswer: -21*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -713*m = -717*m + 3*i + 35, -4*i = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/6)*m)\/m**(-1))\/(m\/(m\/(m*((m**1*m)\/m*m)\/m*m)))**1*(((m*m\/(((m*m*m**(-2\/7))\/m)\/m)*m)\/m)**(-24))**14 assuming m is positive.\nAnswer: m**(-4615\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 + (-1)\/(-1). Let q = -4 + x. Let l = 21 + -20.9. Which is the second smallest value? (a) 3 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dreeebeerbsebbebm. Give prob of sequence bm.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*i - o, 4*i - o = 6 - 4. Let s(b) be the first derivative of b**4 - 2\/3*b**3 + i*b - 2\/5*b**5 + 0*b**2 - 2. Factor s(t).\nAnswer: -2*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 7. Let o be j(4). Sort o, -4, -1 in decreasing order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-1)\/6). Is k\/10 + 393\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:51 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -32. Suppose l - 6*l = -25. Solve -3*q + l*q = f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7059 is divided by 1221?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25810, 25819, 25830, 25843, 25858?\nAnswer: 25875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.229 + -0.039. Let k = -2.81 - v. What is the second biggest value in -1, 0.2, 5, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421*m = -1417*m + 126*y + 382, m - 5 = 2*y - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evyqmefq. Give prob of sequence qf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 38, -0.5 in descending order.\nAnswer: 38, -0.5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2. Let m be a(1). Let n = 3 + m. Suppose 5*f = -2*i + 6*i + 70, n*f - 3*i - 42 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + (1089\/(-12))\/(-3). Calculate the common denominator of 67\/3 and (-602)\/28*4\/j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30380 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -2\/7 (b) 1 (c) 0.1 (d) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -34. What is the remainder when 89 is divided by 0 + (f - 4)*4 + 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, 1\/61, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1889 * -0.4.\nAnswer: 755.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*f - 13, -2*f - 12 = -3*a + 3*f. Let l(j) = 3*j + 1. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3907.515 - 3907. What is j rounded to 2 dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*1*-2 + -2. Let f be (1\/(-2))\/((-4)\/z). Suppose 0 = -f*d + 29 + 101. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 2, p: 6, j: 4, v: 3, i: 3}. What is prob of sequence rjpv?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 73452?\nAnswer: -73447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153178 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*m**4 - 3*m**4 + 5*m**4 + 6*m**4 - 4*m wrt m?\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1805, -36, 50 in decreasing order.\nAnswer: 50, -36, -1805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 8*s**2 + 132*s - 26. Give u(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 20*c - 301007 = 5416. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Solve q*z - 3*z - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*(sqrt(847) + 1)*5 + 2 + (-3*(0 + sqrt(847)) - sqrt(847)) + 2)**2 + 4).\nAnswer: 4598*sqrt(7) + 305892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 46. Let m(h) = -6*h - 14. Let f(o) be the second derivative of -o**3\/3 - 5*o**2\/2 + 3*o. Calculate z*f(p) - 6*m(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-147)*560\/120.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5566 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 447730 to the nearest 1000.\nAnswer: 448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 65.7. Let n = -4.5 + t. Which is the smallest value? (a) 1\/5 (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*m*w**2 - 29*j**3*w**2 - 21*j**3 + 12*j**2*w**2 + 591*j*w**2 + 5*m wrt j?\nAnswer: -6*m*w**2 - 174*w**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182 - 68*m**3 - m**2 - 276 - 11*m + 11*m wrt m.\nAnswer: -204*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/3 + 18*c**2 + 382*c\/3 + 110 = 0. What is c?\nAnswer: -15, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 12. Let y be 46\/(-10) - 6\/15. Let v = y + i. What is the remainder when 2 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1, 8.1?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 7*c**2 + 3*c + 7. Let v be h(-7). Let g be 4*3\/(-6)*(-3 + 11). Let s = v - g. Solve 0 = -4*p + s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by -290819\nAnswer: 137\/290819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/251490 and 7\/415.\nAnswer: 251490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 104 = -2*h. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -217 + 220. Suppose 0*a**2 + 2\/13*a**4 + 0 + 0*a - 2\/13*a**f = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-6)*3*2 + 1. Sort r, 5, -7, -3 in descending order.\nAnswer: 5, r, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129507 and 7056.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 16) to base 15\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cicc when four letters picked without replacement from {c: 6, i: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11560343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7576 + 7573. What is the closest to -2 in -7, 3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -7, 1, 4, 196, 0 in increasing order.\nAnswer: -7, -3, -1, 0, 1, 4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:04 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 - 41 = 0. Let z = a - 6. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -5, -4, -0.4, -6\/7, -61?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 18*i - 102. Let g be m(8). Find the common denominator of 1315\/(-2520) - (g\/16 - 3) and 23\/6.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 30 + 19 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 2 + 15*m**2 + 0 + 2*m as s + c*m**2 + d*m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1300104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -2, 35, -5, -0.8, -1.1 in descending order.\nAnswer: 66, 35, -0.8, -1.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141812?\nAnswer: 2, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46946.53 * 2\nAnswer: -93893.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 5*p - 45 = -10*s, -3*s = -2*p + 18. Solve s = -7*b - 4326 + 4340 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10614.\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 101*s**2 - 570*s + 325. What is z(-95)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 3 (c) -2\/11 (d) 52629 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.068096 and 677.8665484?\nAnswer: 677.9346444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-11)\/(-22))\/(-1)*(1 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-19 - -20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfbzz. What is prob of sequence pz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751629821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u**3 - 2*u**2 - 4*u - 3. Let t be o(-1). Suppose -2*r - 35 = -t*r. Solve 0 = -4*h - 2*p - 24, h + 12 = -r*p - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - 11213?\nAnswer: -11032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-104)\/12 + 10\/15. Put o, -5, 3 in decreasing order.\nAnswer: 3, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g. Suppose 0 = -5*f - 3*i + 6940, -953 = -f - 2*i + 442. Let w(n) = f - 4*n**2 - 1385. What is w(m(d))?\nAnswer: -784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -1\/7, 1\/23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oloy when four letters picked without replacement from ylolyoiyyiyioyywil.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008359 rounded to four dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 9, n: 4, f: 2, r: 4}. What is prob of sequence nrlr?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 + 9 = 0. Solve -l - 3 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4104 - 1132 = 3*m, 2*t - 2*m = 1514. Calculate the remainder when t is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*k - 5*w - 3, 5*k + 11 = w. Let d = 2 - k. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:07 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 581\/174 - 73\/87. Factor t*y**4 - 5*y**2 + 10*y**3 + 45\/2 - 30*y.\nAnswer: 5*(y - 1)**2*(y + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 330.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 4*i**2 - 3*i - 2. Let m be u(3). Let t = -27 - m. Is (4 + -2)\/((-2)\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 48 - 36 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (4 + 61)*(-2 + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t - 53. Let w be a(8). Suppose -2*v + w*z - 7*z + 7338 = 0, 11042 = 3*v - z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -8 (c) 7482\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = h - 229, -z + 3*h - 32 + 95 = 0. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(80) + sqrt(63) + sqrt(9072) + sqrt(9072)*4)\/(sqrt(441)*3*-3*4).\nAnswer: -35*sqrt(7)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*j - 3*x + 20, 3*j - 24 = -3*x. Find the third derivative of -4*q**4 + 2*q**4 - j*q**4 + 14*q**2 wrt q.\nAnswer: -336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28600557 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1171, 3, 236, 0 in ascending order.\nAnswer: -1171, 0, 3, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, q: 3}. What is prob of sequence qooq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(567) + (sqrt(567) - (sqrt(567) + 4*sqrt(567)) - sqrt(567))*3)**2.\nAnswer: 222264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108d4bd (base 15) to base 6.\nAnswer: -1101441254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236 (base 12) to base 2.\nAnswer: -101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 26*k + 240 = 0. Let i = k - -48. What is the least common multiple of 40 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33209 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350 = -3*t + 3*s, -2*t + 2*s = 3*t - 2250. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n - 1. Let i(u) = u**3 - 15*u**2 - 32*u - 29. Let m be i(17). Calculate v(m).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 6, -4, -5, 2 in increasing order.\nAnswer: -20, -5, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8298399?\nAnswer: 3, 541, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.40259 plus 41?\nAnswer: 43.40259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 61302*k - 490414. Calculate m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1.28 (c) 2\/9 (d) -1\/6 (e) 20 (f) -0.2 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.12 (b) 1\/3 (c) -4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 1688043?\nAnswer: -1688035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 221*g**2 - 135*g - 11. Give a(2).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.47270555857 + -5.\nAnswer: -45.47270555857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/65? (a) 2 (b) -5 (c) -1\/4 (d) 34 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 29*y**2 - 2*y - y - 7 + 0*y. Suppose 3*t - 4*z = 12, 3*z + 8 = 2*t + 2*z. Is u(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*s + 1153 - 1460 = -3926 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 300 + -42. Suppose -2*o + g = 4*n - 3*o, 128 = 2*n - o. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89804*d**3 + 188*d**2 - 1316*d - 1967.\nAnswer: 538824*d + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-4*h + 0*h + 15*h)*(1 + h - 1).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 13\/(-3) - (-26 - (-1580)\/60). Let a(h) be the first derivative of 0*h**2 + g*h**4 - 9 + 14\/3*h**3 + 0*h. Find the third derivative of a(u) wrt u.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*s + 5 - 5.\nAnswer: -78*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 7*o - 5*o)*(-15*o**3 - 28*o**4 + 15*o**3 + 2*o**4 - 3 + 3 + (-5 + 5 + 2)*(-2*o**4 + 2*o**3 - 2*o**3)).\nAnswer: 60*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -978 equal to -480934\/491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Let x(q) = -5*q**3 - 9*q**2 - 11*q. Let a(l) = l**3 + l**2 + l. Let k(v) = -6*a(v) - x(v). Determine k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-154)\/10 - 4\/(-10). What are the prime factors of 280\/w*(-9)\/4?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by -55.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -3*h**7\/35 - h**6\/60 + h**5\/45 + 3*h**2\/2 - 7*h. Let f(y) be the first derivative of a(y). Determine w so that f(w) = 0.\nAnswer: -1\/3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a week in hours?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168890928 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*b - 5348, -145*n + 149*n = -12. List the prime factors of b.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(-18*89\/16554)?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 12, t: 5}. What is prob of picking 1 t and 1 z?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 0*m)*(-1 + 3 - 3)*(9*m**2 + 12*m**2 - 24*m**2 + 4).\nAnswer: -6*m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:22 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 36*a**2 - 479*a - 14111. Determine u(-39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66\/2750*30\/9\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.9, -13\/135, -1\/10?\nAnswer: -13\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3 + 4*b**3 + 6*b**2 + b - b**3 - 4*b**3. Let g be o(6). Suppose -45 = -2*w - g*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42, -163, -358, -621, -946, -1327, -1758?\n\"Answer: y**3 - 43*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 164. Calculate the smallest common multiple of w and 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k + 11 + 29. Let j be 1 + (-3)\/(k\/(16\/3)). Solve 3 = j*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/397 + 325\/4764. What is the smallest value in -2, 0.1, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38 - -1)*(-6 - -1). Let p = 1522 - 1518. Suppose -o = p*o + 2*b - 916, 0 = o + b - h. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 1 + 3. Suppose 4*x - 2504 = -4*n, x + 2464 = t*n - 50. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((175\/21)\/5)\/(-1 - -3)*140\/875?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 992 divided by -31.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 8. Suppose 0 = h - 2*h - p*u - 4, 4*u = h + 4. Let y = 1 - h. Solve y*a - 3 + 18 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2612)\/(-84) + -2 - (1312\/(-336) - -4). Solve -f - 34*s = -z*s + 21, -14 = 2*f + 3*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let s be u(0). Suppose 5*o - 27 = 2*r, 2*o - s + 3 = 4*r. What is the second derivative of o*g**3 - 3*g**3 + 2*g - 2*g**3 wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1339, 1345, 1351?\n\"Answer: 6*i + 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 35*q**2 + q - 12. Let l(k) = 36*k**2 + k - 14. Calculate 7*a(v) - 6*l(v).\nAnswer: 29*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-22*(-738)\/108)?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/360)\/((2\/230)\/((-30)\/50)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {q: 3, h: 1, c: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8486303298 divided by -3.\nAnswer: 2828767766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -541*f**3*o**3 - 2*f**3*o**2 - 33*f*o**2 - 3 wrt o.\nAnswer: -3246*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*o + 234705, -16808 = 3*d + 2*o - 157676. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -16 + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 325 = -72*m + 75 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 633*l**2 + 9*l - 18. Let v be n(2). Let x be (-4351)\/(-3) + (-1 - (-20)\/12). Let c = v - x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2276*a**2 + 3 - 686*a**2 - 685*a**2 + 2 - 5 - 911*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*a + 275400003, 0*p + 2*p + 110159994 = 2*a. Suppose -4*w - 27992808 = -2*l + 27087192, 4*w = -l - a. Round w to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p*p**3)\/p)\/p)\/(p**(-8)\/p))\/(p\/(p*p**(-2\/5))*p)**(-12))\/(((p**(2\/7)*p)\/((p\/p**(-2\/15))\/p))\/(p**(-2\/3)*p)**(6\/23)) assuming p is positive.\nAnswer: p**(66979\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/85 and 5\/187.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - 2*k**2 - k. Let x(b) = -b**2 - b. Let a(m) = -2*h(m) + 4*x(m). What is the second derivative of a(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*u + 35*b + 39 + 66 = 523*u, 0*u - 21 = -3*u + 5*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3210 or 3348?\nAnswer: 3348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from udxuxzdrzuuur?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 9659.1541.\nAnswer: 4829.57705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*y**3 - 7611*y**2 + 25062*y + 1 wrt y?\nAnswer: -54*y - 15222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xdwdcwxwwggdwwwwdxc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:53 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 33.837?\nAnswer: 6.7674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:28 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99271*c**6 + 27*c**3 + 99*c**2 + 18*c + 44 wrt c?\nAnswer: 11912520*c**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1100, 2 in decreasing order.\nAnswer: 1100, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 10*l - 1\/2*l**2 - 12. Let y(b) = -b. Determine x(y(z)).\nAnswer: z + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 10 + -5 + 4 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 852*-0.4\nAnswer: -340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/3 + (-10)\/(-6). Let d(j) = s + 15 + 5*j - 8*j**2 - 28 + j**3 + 11. Calculate d(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5218419 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = -19. Is 4*(0 + -1)*x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/40)\/(((-68)\/(-40))\/17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110 - 1000?\nAnswer: -11000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 45060*h**3 - 135204*h**2 - 135212*h - 45072.\nAnswer: 4*(h - 11268)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let p be o(-1). Suppose 3 = p*k - 0. Solve -34 - k = 3*y - 4*g, 2*g = -3*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4)*3 - (-4)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 817b36 (base 12) to base 14\nAnswer: 3aa030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 + (-9 - -9))) + -10 - (-225 - -105)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 22 + 9*a + 9*a - 43.\nAnswer: 18*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 10002?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 617 = 4*v - 1132, 2*g + 1333 = 3*v. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/20 - a**4\/2 + 5*a**3\/6 - 5*a**2 + 4*a. Let y be p(-7). Solve 3*g + 10 = -3*z + g, -y*g - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0 - (-53 + 2). Let x = -16 + z. Suppose -5*c + x + 95 = -5*q, -5*c = 5*q - 140. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235316 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 + 543 + 17 + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*n + 1118 = 299 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 6*m - 4*m + 2, 3*m + 2 = 4*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 29 = -5*u, 0*u = 3*u - 15. Suppose 0 = 3*x + 9, 3*x + 5 = 8*g - 7*g. Is p less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/21*-12723*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2773, -1 in descending order.\nAnswer: 2773, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 425056 + -425058. Let x be (2*1)\/((-4)\/(-10)). Let m = -8\/13 + -2\/39. Which is the biggest value? (a) x (b) w (c) -18 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0, 2 in decreasing order.\nAnswer: 45, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 36*y + 94*y**3 - 94*y**3 + (4*y**2 - 4*y**2 + y**3)*(-y + y - y) - 2*y**4 + y**4 - 2*y**4 - 6*y**4 - 11*y + 11*y.\nAnswer: -11*y**4 - 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.9 + 12.9. Which is bigger: -2\/23 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2 + 8*o - 3. Let p(u) = -8*u**2 + 7*u - 2. Suppose 9*x + 11 + 7 = 0. Let c(y) = x*p(y) + 3*d(y). Solve c(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 648?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = 4*d, 2*d = -4*a + 2 - 14. Let b be (0 - 0)*(-2)\/(-2)*((-3915)\/(-108) - 36). Suppose b + w + 15\/2*w**3 - 17\/2*w**d = 0. Calculate w.\nAnswer: 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, r: 1, n: 2}. What is prob of picking 1 r, 1 n, and 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*f + 139*f - 3*y - 25 = 0, -4*f = -y - 55. Let h be ((-280)\/(-196))\/(8\/f). Which is the nearest to 85? (a) -1 (b) h (c) -5 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -8 (c) -27\/35 (d) 1 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 23*d\/3 - 1058.\nAnswer: (d - 46)*(d + 69)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45252 from 160.4291.\nAnswer: 45412.4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 5. Suppose 0*o = -m + 3*o + 2, 0 = -3*m - o + 6. Let g be w\/((-2)\/m + 2). Which is greater: -4\/7 or g?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 - -197. Let p = g + -108. Factor 377*u**2 - 6 + p*u + 22 + 290*u**2 + 9*u**2.\nAnswer: 4*(13*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-99)\/(-22))\/(1\/(-2))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -56*c + 42. Let v(n) = n - 1. What is d(q) + 42*v(q)?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 564 + -560. Solve -i = 4*c - 2, 3*c = 4*c + l*i + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = -3*o, -2*x + 2*o - 24 = 0. Let i = x + 18. Solve 0 = 2*s + i*a - 7, s - 2*a + 8 = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -586*x + 470*x - 877*x - 41*x**2 wrt x?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -10. Let n = z - -4. Let v = 211\/4 + -53. Which is the nearest to n? (a) -0.1 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 3. Let l(g) = g - 2. Let u(r) = -r**3 + 9*r**2 + 11*r - 6. Let t be u(10). Let s(q) = t*l(q) + 3*d(q). Calculate s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -164 + 713?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/5)*(-6 - -4). Let b(n) = -1 + 2 - 1 - 3*n + 3. Calculate the lowest common multiple of 16 and b(g).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*h*t + h*u**2 + h*u - 345*h + 13*t*u**2 - u**4 with respect to u.\nAnswer: 2*h*u + h + 26*t*u - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/3)*t))**(-38)\/((t\/t**(-5)*t)\/t**(-26)))**(-8\/13) assuming t is positive.\nAnswer: t**(1400\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2 + 8032*j + 49045073 = 0.\nAnswer: -4057, 12089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*t + 4355 = 4367, -14 = 5*f - 3*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = k + 3*k + 1164, -k - 312 = -4*r. What are the prime factors of (8\/(-32))\/(2\/k)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/3 - 12\/18. Let q be 5\/(-10)*(-56)\/(l - -7). Solve -q = -3*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 23*j. Let q(p) = -863 + 3*p + 863. What is -24*q(m) + 3*z(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 5 - 0) + (16 - 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 18. Let g = 32 - o. Which is smaller: 1.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*r**2 + 17 + 7*r**2 + 3*r**2 + 26 with respect to r.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*10 - (10 - 9). Let m(k) = 9*k - 16*k + c + 6*k. What is the remainder when m(3) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*i - 3*z, -12 = -578*z + 574*z. Let o be (-2)\/(-2) - (-6 + 1). Solve -o*r = -i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose -o*l = -4*l - 120. Let r be (7 - 3)\/2 - l. What is r rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 32*i - 9. Let p(h) = -11. Let a(s) = -5. Let x(d) = 14*a(d) - 6*p(d). Let q(u) = 1 + 5*u - 3*u - u + u**2. Calculate i*x(b) + q(b).\nAnswer: b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpphppqppii. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from {h: 3, n: 7, e: 5, y: 1, o: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35, 8 in increasing order.\nAnswer: -2, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5653b3 (base 12) to base 5.\nAnswer: -323042113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 2, e: 1}. What is prob of sequence ejj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -2*b**2 - 76 + 1\/3*b**3 - 3*b. What is w(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82662 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 2 g when four letters picked without replacement from hjgjehbjbjug.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 4. Let w(d) = d. Let t(y) = o(y) + 2*w(y). Determine t(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6131 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36.949 - 37. What is s rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717800 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = -6*r - m, -r = -m - 4. Is 10\/179 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -3 - (-3 - 1). Let l be (-3)\/(21\/(-2)) - 252\/1911. What is the nearest to 3 in -3, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 66618, 66620, 66622?\n\"Answer: 2*f + 66616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:10 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19 + (-608)\/240)*5. Which is the closest to p? (a) 0.3 (b) 2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)\/h)**(-1)*h\/(h\/h**4)*(h**(17\/4)*h)\/h assuming h is positive.\nAnswer: h**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 29659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - f - 981 = -987, 5*f + 18 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + (4 + sqrt(1573)*1 - (0 + sqrt(1573))*3) + -1*(sqrt(1573) - -2*(sqrt(1573) + -1)) + -1)**2.\nAnswer: -880*sqrt(13) + 39389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 7*n**2 - 4*n + 4. Let f be x(-6). Let o be 1*4\/f*0. Do o and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 22\/47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5104419 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 60404.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = -25*j - 491 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9234 + -9236. Sort 3\/2, 4, 0.3, 5\/3, l in ascending order.\nAnswer: l, 0.3, 3\/2, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((5*sqrt(1088) - sqrt(1088))*-1)**2 + 0 + 1).\nAnswer: 104454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4565 divide 194076410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/7 + 0)*7. Let l = u + 39. Solve j + 5*f + 3 = 0, 4*j - j + l*f = -9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 - 6*g**2 - 6*g - 26. Let b(l) = 12*l**3 - 11*l**2 - 11*l - 53. Let x(n) = -6*b(n) + 11*z(n). What is the derivative of x(w) wrt w?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -69. Suppose z = 2*r - 8 - 0. Suppose 0 = -r*x + 90 + 678. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/16))**(4\/5) assuming x is positive.\nAnswer: x**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 77, 121, 163, 203, 241?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + 5*sqrt(180))\/sqrt(4) + (sqrt(180) + -3 - sqrt(180))*-5)**2.\nAnswer: 480*sqrt(5) + 1505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 1690 = -15*p. Calculate the highest common factor of p and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-14 - -12) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -483476 + -0.5\nAnswer: -483476.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-12*6\/60.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.5, 1734, 1\/6, 24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*w + w + 2, 0 = -2*t - 4*w - 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4205360470.\nAnswer: 2, 5, 29, 1097, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 127 + 13943?\nAnswer: 14070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 86*n - 754. Let q be h(-10). Solve 3*v + 2 + 8 = g, -3*g + q = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(9 + 0 - 7) + 1 + 3 - 5 - 1 + 2 - 2)*(-4*n + 5*n + n + (-1 - 3 + 3)*(-n + 1 - 1)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 21*s**2 + 22*s - 6. Give u(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 753081 + 406?\nAnswer: 753487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 313179221\/1853 - 169012. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 698908*m**3 - 2290*m**2 + 4580*m - 13740. Let s(r) = 916*r**3 - 3*r**2 + 6*r - 18. What is -2290*s(v) + 3*t(v)?\nAnswer: -916*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/2 - 2*s**3 - 6*s + 230. Let c(m) = 5*m**3 + 13*m**2 + 13. Give 6*c(i) + 13*v(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 143391683 - -1700\nAnswer: 143393383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*o - 80*o + 728. What is the remainder when o is divided by 21 + (-6)\/5 + 4\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.2566?\nAnswer: 0.05132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.4 (c) 2\/15 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b696 (base 12) in base 3?\nAnswer: 2001212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8937 times 0.1?\nAnswer: -893.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131327 is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*f**2 - 4)*(326 - 294 + 2*f**2 - 204) in the form t + y*f**4 + i*f**3 + w*f + q*f**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 4*d**2 + 4*d**2 - 6*d**2. Let a(w) = 6. Let s(c) = -c + 1. Let z(f) = a(f) - 6*s(f). Calculate z(n(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313224 (base 5) to base 13.\nAnswer: 49a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -2522?\nAnswer: 7566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0213? (a) 1 (b) -5 (c) 4 (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -2*i, 4*l - 3*i + 6*i + 6 = 0. Let j be (6 + l)*(-27)\/6. Let a = 46 + j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 138. Let m = a - 99. Suppose 0*x = x - v - 8, 4*x + 5*v = m. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*y - 126, 0*q = -5*q + 3*y + 111. Suppose 4*t + 16 = q. Let l(w) = w**3 - 5*w**2 - 5*w - 4. Let v be l(6). Solve -t = v*s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 1.475\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -136. Let m = l + 249. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420.967*-287\nAnswer: -120817.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(11\/22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by 3.\nAnswer: -122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/14 and -9\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 574 - 352. Suppose b - 3*r + 2*r = 48, -v = -4*b - 2*r. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 60645. Let d(l) = l. Determine d(n(p)).\nAnswer: -3*p - 60645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 756 - 695 - h**2 + 2*h - 16*h. What is the smallest common multiple of b(0) and 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 153 + 1881. Suppose v - 28 = 2*l + 2*l, -25 = 5*l. What is the greatest common divisor of g and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0450025934 rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 r when three letters picked without replacement from rrqqrqrqqqqr.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 158.53 and -49618.91.\nAnswer: -49460.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2. Let n(i) = -5135339*i. Give n(g(t)).\nAnswer: 5135339*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n + 183 = 67*n. Let r = n - -304\/5. Which is the second biggest value? (a) r (b) 4 (c) -4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/((-12)\/(-40)) + 4. Suppose 5*w + 4*o = 64, u = -5*w + 5*o + 8 + 92. Solve -l + 2 = -5*l + 5*k, 5*k - w = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**9\/10080 - s**8\/1680 - s**7\/720 - s**6\/720 - s**4\/8 - s**2. Let a(h) be the second derivative of x(h). Factor a(i).\nAnswer: -i*(i + 1)**2*(3*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210 + 255 - 780 - 3*n**2 + 2*n**3 + 199 to b + j*n**3 + x*n + d*n**2 and give b.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(2\/57)))\/(s\/(s\/(s\/(s*s**7))))*(s\/(s\/(s\/(s\/s**(-7\/5)))))\/(s\/(s*((s*(s**2*s)\/s)\/s)\/s*s)) assuming s is positive.\nAnswer: s**(2176\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 - 1. Let q(p) = -p**3 + 23*p**2 - 41*p - 18. Let r be q(21). What is the units digit of f(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - (0 + -3)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or -11?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 - 4*r**2 + 5. Suppose -m + 12 = 4*c - 0*c, -5*c - 5*m + 30 = 0. Let f(u) = c - 2*u**2 - 6*u**3 + 4*u**3 + u**3. Give 5*f(o) - 2*q(o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -55 - (-69 + -17) - 34\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.1 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2339\/196 - -793\/49. Solve -1 + m**3 - w*m**2 + 5*m = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) + 1*sqrt(77) + sqrt(77)) + (sqrt(77) - 5*sqrt(77)*3))\/(-1*sqrt(448)*1 + -3*(1*sqrt(448) - sqrt(448))) + -2.\nAnswer: -2 + 13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*h - 3*f + 23, 2*h + 430*f = 426*f - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 28138 = j, -277*p + 5*j = -282*p + 35165. What are the prime factors of p?\nAnswer: 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/627426 - -18282494\/1568565. Let o = h - 37\/45. Calculate the common denominator of o and 71\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.028 + 0.272. What is the second biggest value in -10, o, -1\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1057, -2104, -3137, -4156, -5161?\nAnswer: -6152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2*(480\/50)\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 707\/561 + -55\/51. What is the closest to 4\/15 in -5, s, -31, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unw when three letters picked without replacement from {o: 5, w: 1, u: 9, n: 1, t: 4}?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 418 = 10*n + 89. What is the remainder when 231 is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 5, -1, -1446, 3, -3 in descending order.\nAnswer: 5, 3, 2, -1, -3, -6, -1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/5 + 9*o + 42\/5 = 0. Calculate o.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(252) - (-2 + 1 + sqrt(252)) - (sqrt(252) + (sqrt(252) + -2)*-1))*1)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1751250 divided by 10\nAnswer: 175125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from othhhooohhthahhao?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w - 3. Let u be o(3). Let q be (u\/(-3))\/((-3)\/3). Calculate the remainder when q\/(-24) + (-42)\/(-8) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*x + 49*x + 1449 + 3005 = 0 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1704, 3410, 5116?\nAnswer: 6822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v - 39*v - 286 - 34 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.44 to one dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 204*b + 1847. Calculate m(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387 (base 14) in base 16?\nAnswer: d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4899883.4 - -4900333.93578. Let r = -499.5364 + j. Let q = r - -49. Round q to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-236)\/(-220) + 4\/(-5))\/((-72)\/(-48)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -17*w + 20. What is the second biggest value in w, 2\/3, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 3\/2, -0.0294, -4, 2\/25?\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**7\/945 - x**6\/135 - x**5\/15 - 5*x**4\/27 - 7*x**3\/27 - 12*x**2. Factor h(a).\nAnswer: 2*(a - 7)*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - -182?\nAnswer: 181.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 261051751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*i = -16, -8*z + 2*i + 40 = -3*z. Solve -z*b = -0*b - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.6644 to one dp.\nAnswer: -102.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Suppose 5*p - 3*q + 4 = 0, h*p + 3*q = p + 11. Let j = -9949\/29 - -343. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:49 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3 + 7*h + 4*h + 3. What is the remainder when m(3) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*c = 187, 0*u - c - 37 = -u. Calculate the remainder when 114 is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 14) to base 12.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.3, 9405?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26786, -28605, -30424, -32243, -34062?\n\"Answer: -1819*g - 24967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 + 1. Let h = -42\/13 - -255\/91. What is the third biggest value in h, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10608 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 - 30*a - 9. Let q(f) = -144*f**2 + 14*f - 56. Let d(v) = 31*v**2 - 3*v + 12. Let k(i) = 14*d(i) + 3*q(i). Give w(k(l)).\nAnswer: 16*l**4 - 60*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + z**2 + 13*z - 13. Let x be b(7). Let v = x + 411. List the prime factors of v.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20357 bigger than 3179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3336071 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 514.1382757 rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(18) - (sqrt(648) + sqrt(18)) - sqrt(18)) + sqrt(18))\/(sqrt(9) + (sqrt(9) + sqrt(9) + sqrt(81) + sqrt(9))*-2).\nAnswer: 13*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -92, 0.3854, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -0.085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/23055 and -97\/50?\nAnswer: 230550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 1\/3*s**3 - s - 1\/2*s**2 - 26. Give b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08669116 take away -0.01?\nAnswer: -0.07669116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - -2.08. Let t = 0.68 - o. Which is the nearest to -1? (a) -5\/3 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -28. Which is smaller: y or 15\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 1 - 335. Calculate the remainder when j is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -p - 159, 5*m + 2*p - 265 = 0. Let w = m + -14. Let u = w + -36. Solve -u*a = -1 - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 11, g: 2}. What is prob of sequence ggss?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2, -8, -5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 43 + 65 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93430?\nAnswer: 2, 5, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534632, 534637, 534642, 534647?\nAnswer: 534652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448778264 to the power of 1\/2, to the nearest integer?\nAnswer: 66699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -8, -2*o = 12*j - 8*j + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15346 - -11310?\nAnswer: -4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 277*q**3 - 46*q**2 + 3*q wrt q.\nAnswer: 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 3. Let j(a) be the third derivative of -a**4\/12 - a**3 + 59*a**2 + 3*a. Calculate -5*i(t) - 2*j(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -199, -201, -203, -205?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 30, 27, 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -51, -84, -117?\n\"Answer: -33*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 802*b**2 - 18*b + 1241. Let k(r) = -1604*r**2 + 42*r - 2481. Let h(u) = -7*d(u) - 3*k(u). Differentiate h(g) with respect to g.\nAnswer: -1604*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10673993 and 1133?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -4, -3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crlv when four letters picked without replacement from vvlvrcqv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76.03 - 76. Which is the nearest to 1? (a) 1 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 25 = -5*f, 0 = -0*u + 5*u + 4*f + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14\/3)*s)\/(s\/(s**(-6\/25)\/s)) assuming s is positive.\nAnswer: s**(-443\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231 = -4*s + f, s - 5*s = -5*f + 1243. Let h = s + 910. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 19*c - 697. Let v = -683 - c. What is the greatest common divisor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*n**2 - 19*n - 324 wrt n.\nAnswer: 30*n - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/15, -206, -4, -2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12772.83 - -12773. Let p = -3 + 0. Which is the smallest value? (a) 1\/8 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + (20 - 6 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 6, -4, -1\/4.\nAnswer: -4, -1\/4, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -19 in decreasing order.\nAnswer: -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010000 (base 2) in base 16?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 169343, 333293, 497243, 661193?\n\"Answer: 163950*b + 5393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 697968 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**5*k + 108*i**4*k - 3*i**2 - i*k + 4*k wrt i.\nAnswer: 120*i**2*k + 2592*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 9415*a**4\/24 - 1111*a**3\/2 - 3*a**2 + 1374. Differentiate r(y) wrt y.\nAnswer: 9415","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102315251 (base 6) to base 5.\nAnswer: -430024420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -v - 1, -2*v - 7 + 3 = 0. Let z be (1 + -3)*l - (-6)\/(-12). Which is the nearest to 0? (a) z (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - 37\/4. Let b(p) = -p**2 - 9*p + 3. Let j be b(v). Suppose 5*w - 46 = -0*z - 2*z, j*w = -12. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Suppose 2*c - 3*f = 31, v*c = 3*c - f - 29. Solve 0 = -2*q - 0*q + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-6)*(-126)\/(-12). Let o = -50 - w. Let u = -2 - o. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (-6 - -15)\/(-45) + (-269642)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*n + 95*n - 82 - 180*n)*(-1 + 3 + 0)*(-n - 3*n + 2*n) to m*n + g + j*n**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(756\/24))\/((-6)\/963). Solve 5 - f = 17*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c = 101. Let u = 305 + c. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90429 is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.37526 - 0.04874. Round u to one decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201 - 59. Calculate the common denominator of 75\/22 and 1 - 3 - 2119\/f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(6\/(-2) - -2). Suppose q = z - 2*t - 3 - 2, 15 = 3*z + t. Suppose z*x - 134 = 3*x. Calculate the remainder when x is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6409 + 38.5759. Let i = o + 0.065. Let d = 16 - i. What is the biggest value in 4, -0.2, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-4) + (-11 - -7))\/(3\/(-6))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 32*a**3 + 79*a**2 + a + 1. Let s(p) = p**3 + p**2 - p - 1. Let v(i) = s(i) + w(i). What is the third derivative of v(t) wrt t?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 65*x**2 + x. Let p be b(-1). Let l = p + -53. Calculate the highest common factor of l and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 670*u**3*y - 2*u**3 - 3*u**2*y + u**2 - 20*u*y + 82*u + 2*y wrt u?\nAnswer: 4020*u*y - 12*u - 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6315 - -35001232.\nAnswer: 35001234.6315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(2768\/519)*(-388)\/(-6).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 45123?\nAnswer: 45122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 5. Is 1\/1 - x\/((-1)\/(-122)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 + 168*n**2\/11 - 1498*n\/11 + 1332\/11.\nAnswer: -2*(n - 74)*(n - 9)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8871?\nAnswer: 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tppm when four letters picked without replacement from {h: 3, t: 1, p: 2, k: 4, m: 1}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c**3*c**7*(c\/((c\/((c\/c**(2\/7))\/c))\/c*c))**(2\/107) assuming c is positive.\nAnswer: c**(9733\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 d when four letters picked without replacement from iddnimddddbbim.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208\/7 + -30. Which is the closest to -0.2? (a) p (b) 0.5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0735 times 0.06\nAnswer: 0.00441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2132878782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5\/3 + 56*r**4\/3 - 28*r**3 - 176*r**2\/3 + 400*r\/3 - 64 = 0. What is r?\nAnswer: -2, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11471586?\nAnswer: 2, 3, 7, 39019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306 - 306 + 13*c**3 - 3*c**3 - 29*c**2 - 8*c**3.\nAnswer: 2*c**3 - 29*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 772 + -761. Let o(r) = 13*r**3 + 11*r**2 - 11*r + 11. Let v(f) = 7*f**3 + 6*f**2 - 6*f + 6. Calculate d*v(m) - 6*o(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 591193309 and 357.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.55781 millennia in years?\nAnswer: 93557.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/15*(1 - -2). Let m = -0.976 + -0.024. Which is the second biggest value? (a) -4 (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63280764 divided by -108?\nAnswer: 585933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*f + 2 - 315*f**4 - 2*f**3 + 2*f**2 + 327*f**4 in the form o + y*f**3 + h*f**4 + n*f**2 + b*f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*r + 4*r. Let v be -1 + 3 - (r + 1). Let b = -66470 - -66518. What is the highest common factor of v and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**1\/t)*t*(t*t*t*t**11\/t)\/t*t)**13*(t*t**(1\/4)\/t)**(-4)\/(t*t**0*t)**(-2\/35) assuming t is positive.\nAnswer: t**(6794\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 585319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*w + 65*w = 131*w - 41676 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 130 (c) 0.5 (d) 5 (e) 0.3 (f) -1\/160 (g) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -57, -130, -223, -330, -445, -562?\n\"Answer: z**3 - 19*z**2 + 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92897 and 2576.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269 + -263. Let s = -5.02 - -0.02. Sort o, s, -1, -4 in descending order.\nAnswer: o, -1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, m: 4, v: 2, l: 3}. Give prob of picking 1 m and 1 l.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2389553\/362 - 6601. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*((m*m*m*m**(-6\/13)*m)\/m)\/m)\/(m*(m\/m**(-13\/7))\/m))\/((m*m\/((m**(-3)\/m)\/m))\/m**(-23\/4)))**37 assuming m is positive.\nAnswer: m**(-176009\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 242*d + 865. What is n(-4)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Suppose -9*d + 10 = -4*d. Let a(u) = 136*u**d - 133*u**2 + 0*u + 0*u. Calculate a(p(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.994 - 11.994. What is the nearest to 8 in 3\/4, n, -1\/13, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3684 or -3685?\nAnswer: -3685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226.6 + -226.5. Let z = -4 - -5. Let j = -1 - z. Which is the nearest to j? (a) k (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 941 = -929 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 - (507132\/(-4))\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4484728*f. Let g(j) = -3*j**2. Give g(n(c)).\nAnswer: -60338355701952*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74520419.\nAnswer: 43, 1733033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 0 - 2 - 3*i**3 - 2*i**4 + 3*i**2 to the form y*i**2 + o*i + h*i**4 + s*i**3 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 6*h**2 - 5*h + 1. Let x be 105\/140 - (-38)\/(-8). Calculate b(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -60, -0.2 in ascending order.\nAnswer: -60, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22510*l - 21861*l + 43993*l.\nAnswer: -378*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*k**3 - 85*k**2 - 411*k**3 - 386*k**3.\nAnswer: -337*k**3 - 85*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42063 - 29000. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 - 5*p + 2. Let v be d(5). Suppose v*u - 125 = -105. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15.1 times -198.561\nAnswer: -2998.2711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r. Let h(v) = -v + 0*v + 2*v - 2*v. Let y(q) = -3*q. Let w(p) = 9*h(p) - 2*y(p). Let u(a) = 5*g(a) - 16*w(a). Let b(n) = 13*n. Determine b(u(f)).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1394 - -2541. Suppose 4*k - n - 357 = 0. List the prime factors of k.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 + 10\/14 + 1. Suppose g*p + 4*y - 4738 = p, -y = 2. Let t = p - 2353. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2103 and 100.6392.\nAnswer: 100.4289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1084604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 + 1.5. Let c = p - 8.2. Which is smaller: 31 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 23 - 18, 3*t = -5*y + 8. Let v be ((-6)\/(-105))\/((-1)\/5). What is the third biggest value in y, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**3 + 7*n**3 + 448809*n**2 + 359357*n**2 - 26*n**3.\nAnswer: -4*n**3 + 808166*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 103.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/14 + 0)\/(1\/(-7)). Suppose 3*r + 7*w - 4*w = -141, -4*r = -5*w + 224. What is the tens digit of 8\/(-2)*r\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 43*p - 29. Calculate v(-17).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*f - 57*f - 209*f + 24442 = -133*f for f.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let s(q) = 10*q - 7. Let o be (189\/45)\/(1\/5). Let h(u) = 3*u - 2. Let n(v) = o*h(v) - 6*s(v). Calculate n(w(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h\/h**2*h)\/(h**2\/h*h*h*h*h\/((h*h**(-3\/2))\/h)) assuming h is positive.\nAnswer: h**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 + 9*r - 204. Calculate d(8).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 5*m - 44, -3*m - 210 = -d - 225 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106171 smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11. What is the closest to p in 6, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Suppose -u + 8 - 4 = k. Solve -4 - 4 = u*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 21954000*x - 180741793500000.\nAnswer: -2*(x + 16465500)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-144)*6*6\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 155. Suppose -t - k = -10. Suppose 5*u - 2*u - 6 = 0. Put -5, u, 1, t in ascending order.\nAnswer: -5, t, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(576) - (sqrt(576) - -1*(4*sqrt(576) - sqrt(576))))\/((sqrt(882)*2)\/sqrt(9)).\nAnswer: -18*sqrt(2)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18618 and 1218.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -14.5. Which is the biggest value? (a) -2\/7 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61673 divided by 20?\nAnswer: 61673\/20","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -15673 + -0.02\nAnswer: -15673.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 3\/2*b**2 + 0*b - 1\/3*b**3 - 1. What is the second derivative of s(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4638 (base 12) in base 2?\nAnswer: -1111010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 142, -4, -0.1, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15144 + 1717 = 201*b + 7967 - 1495 for b.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1608207769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 13) to base 4\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43489 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*j - 95*j + 90*j + 211*j.\nAnswer: 383*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97986a (base 11) in base 16?\nAnswer: 17e129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 777259101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539409 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2, -130, 9324, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74.13398 tonnes?\nAnswer: 74133.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 67719707?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 25 = -3*o + 3, 2*o + k = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*j + o, 4*o - 93 = -4*j + 11. Suppose j*i + 3297 = 29543. What are the prime factors of i?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60661 (base 15) to base 16\nAnswer: -4a827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/201 - 193\/804. Which is the nearest to 1\/4? (a) -1 (b) 3 (c) o (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (5 - (14 + -4))) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*w + 2*c + 121 = 0, 828*w - 825*w + 101 = 4*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, f: 3, k: 2, z: 2, i: 1, n: 1}. Give prob of picking 2 z.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2 - 7*c**3 + 2*c**3 + 0*c**2 - 2*c**2 wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*w = -11, 2*f = -w - 6 - 5. Let v be (-18)\/(-8) + f\/12. Suppose v*k = 6*k - 24. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 1463.425757.\nAnswer: -1450.425757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 25, -3*o = -0*n - n - 11. Let w(c) = c**3 + 8*c**2 + 7*c - 2. Let h be w(-5). Let z = h + n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q + l + 4 = 0, 8 = -2*l. Let z be 0\/3 - (0 - q)\/1. Suppose -11*d + 7*d + 132 = z. Calculate the highest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8133631*a + 22553618.\nAnswer: -8133631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -125241?\nAnswer: -125211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026793814 rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -13*r**2 + 28*r + 5. Let t(s) = 57*s**2 - 113*s - 21. Give -2*t(a) - 9*x(a).\nAnswer: 3*a**2 - 26*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*k - 5*q, 3*q = 2*k + q - 10. Find the common denominator of k\/(18\/(-151)) + 2 and 15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7859614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 7:32 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*r**2 + 8*r**3 + r**3 - 10*r**3 in the form n*r**2 + g*r**3 + o*r + s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/21)\/(124\/434)*(736\/24)\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 35. Let v(p) = p**2 - x*p**3 - p**2 + p**2 + 17*p**3. Give v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 2, e: 4, q: 3}. What is prob of sequence fef?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, 38, -5, -2 in decreasing order.\nAnswer: 38, 3, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.436 + 1.564. What is the nearest to h in 0.1, 5, 61?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 23*v - 2. Let p(w) = 24*w - 3. What is 4*g(a) - 3*p(a)?\nAnswer: 20*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1199 + -1195. Let n be ((-1)\/(-3))\/((-2)\/(-6)). Sort x, n, 7 in descending order.\nAnswer: 7, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42469225 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 9*u = -3*o + 13, 25 = -5*o. Solve 0 = a - 0*a - z - 8, -z = -3*a + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15433 and 13387.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 3*c**2 - 8*c. Let b be v(-5). Let w(s) = 4 - s**3 - 1 - 2*s - 2*s + 3*s**2. Let k be w(3). Is b less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4*-2)\/(7\/70). Let h(y) = y**2 - 3*y + 2. Let o be h(-9). What is the greatest common divisor of g and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196544 is divided by 541.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -6\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 1. Let u(o) = -8*o - 7. Let f be (-6)\/12*1*4. Determine f*u(n) - 14*y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 2*t + 53.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -5, -3, 3, 13, 27, 45?\n\"Answer: 2*o**2 - 8*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {r: 7, h: 2, n: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/4 (b) -0.1 (c) 0.5 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1022222 (base 3) to base 10\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 3 + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46494b + -3?\nAnswer: 464948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11511 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 - 43*p**2\/3 - 40*p.\nAnswer: -p*(p + 3)*(p + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183580 rounded to the nearest 10000?\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 45851520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m + 8. Let h be a(0). Let n = h - 4. Calculate the lowest common multiple of 10 and (-2)\/n - 99\/(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162225019.\nAnswer: 11, 14747729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -211 divided by 35289\nAnswer: -211\/35289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/(-10))\/((-2211)\/275 + 8). Let u be 4\/(64\/a) + -4 + -3. Factor 2*l**3 - u*l**2 - 8*l + 2.\nAnswer: (l - 2)*(l + 2)*(4*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0)*721\/206.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/5 - d**4\/4 + 2*d**3\/3 - 5*d**2 + 19*d. Suppose -4*i - 18 = -2*l, 0*i + i - 2*l + 3 = 0. Is a(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -698 at most -696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 66 - 1021 + 17 = 0 for x.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24\/35 + 757\/70. Let m = 73417\/20 + -3667. Let i = m - 1467\/220. What is the common denominator of d and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.423 + -0.037. Let s = -132885.459973 + 132885. Let l = j - s. What is l rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 50*z**2 + 83*z - 8560. Calculate l(48).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 88894*j - 15912049. Give r(179).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 + w**2 - 4*w - 1. Is z(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h + 1. Let b be d(0). Solve 4*z - 10 = 5*k, b + 1 = 3*z - k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6 - 1 = -256280*p + 256276*p, 5*f + 5 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63712804522616 from -0.1.\nAnswer: 63712804522615.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(128) - (sqrt(19) + -2*sqrt(19)*2).\nAnswer: 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let u be (1 - ((-37)\/(-7) - 70\/245)) + -1. Let b(w) = -w + 1. Determine u*z(n) - 2*b(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9278399 rounded to two decimal places?\nAnswer: 1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12162*a + 886*a - 8522*a + 1845*a)*(-1 - 2 + 0) to the form o + d*a and give d.\nAnswer: 53859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1137)\/(-6)*(-12)\/3. Are -760 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 435*p + 2162. What is i(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 5*r**2 + 4*r - 1. Let m be g(7). Is m\/1 + -2 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5531762 and 1.4.\nAnswer: 7744466.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/60 + 224*d**5\/5 - 50176*d**4 + 89915392*d**3\/3 + d**2 - 211*d. Factor r(v).\nAnswer: -2*(v - 448)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*s**6 + h*s**3 - 13*h + 137*s**4 + 2*s**2 - 7 wrt s.\nAnswer: -120*h*s**3 + 6*h + 3288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 23*y**2 - 232266*y + 232266*y.\nAnswer: 23*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -101.5. Let q = -14.5 - x. Let s = 2 - 1. Which is the third biggest value? (a) -0.4 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10*((-43)\/6 - -8). Which is the nearest to p? (a) -1 (b) 5 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 70. Let w(m) = 3*m - 71. Let r(h) = 5*i(h) - 6*w(h). What is the tens digit of r(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 q when four letters picked without replacement from zzzqzzzzqzzzzzzzzzz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/8)\/x**(-3))\/(x*x**7*x**(1\/5)))**37 assuming x is positive.\nAnswer: x**(-7881\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -18) + -13 - (11 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -3053?\nAnswer: -3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**3 + 2*b**2 + b. Let u(o) = -o**3 - o. Calculate s(x) - 4*u(x).\nAnswer: -x**3 + 2*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (sqrt(153) - (2*sqrt(153) - sqrt(153))))*4)\/(sqrt(81)*2))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/6*(-7095)\/(-22). Let v = s + -1587. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 7*q**5\/15 + 11*q**4\/12 - 5*q**3\/2 + 45*q**2. List the prime factors of w(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Solve 0 = z*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 6*s + 6. Let t(u) = 4*u**2 - 5*u + 5. Let b = -45 - -54. Suppose -3*c - v + 12 = 0, -b = 4*c + v - 26. Give c*q(o) - 6*t(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - l. Let o be y(2). Let n = o - -32. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 15*b - 6. Calculate s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461273835.\nAnswer: 5, 7, 23, 259321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 44.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcbcbrhy. Give prob of sequence qyrc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 635 and 138811.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 400*f**4 + 12840*f**3 + 122148*f**2 + 739206*f\/5 - 9609678\/5.\nAnswer: 2*(f - 3)*(10*f + 117)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -83, -114, -141?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100000010011100011001 + -10001?\nAnswer: -1111100000010011100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n - 4*p + 2, -5*n + 5*p = -20. Suppose -2 = n*m - m. What are the prime factors of (2 + (-9)\/m)*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 25. Let f be k(7). Solve f = -4*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12337.8 - 12338. What is the nearest to m in 0.2, 1\/2, -1, 15\/14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 + 199 = 75*o. Solve 2*j + 6*x - 7*x = -2, -4*j - 12 = -o*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 - 40\/(-18). Let b be (-3)\/(j*1\/(-2)). Suppose -i = 3*i - 80. Solve -4*d + 4 = -b*d + 2*l, -i = -5*d - 3*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-6))\/((-274720)\/(-283305))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 8*u**2 + 3*u + 30. Let c be p(-8). Solve 5*o - c = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 8*k + 14. Give t(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w - 162. Let h(t) = 30*t - 257. Let c be h(8). Calculate the remainder when i(c) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*b - 80*b + 5*p = -130, -3*b = -5*p - 76. Calculate the remainder when 87 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 882 - 880. Let y(k) be the first derivative of -14 - 7*k + 1\/2*k**z. Let f(s) = -s + 6. Determine 5*f(x) + 4*y(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 79*a + 248. Let f be c(-11). Is f > -622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.2 (c) -1.1 (d) 45\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153) + 0) + -2*sqrt(153)*-2)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010205 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + 4b?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + 0 - (7 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 5*s + 2. Let g = 244 - 224. Suppose -5*q - w = g, 0 = -3*q - 12*w + 7*w - 12. Calculate b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 5. Let k be i(0). Suppose -2*p - 15 = -k*p. Solve -4*t = -3*t + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1990882672 to the nearest integer?\nAnswer: 44619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = 0. Let m(h) be the second derivative of h**5\/20 + h**4\/3 + h**3\/2 + h**2 - 7*h. Let c be m(-3). Sort c, n, 1 in decreasing order.\nAnswer: c, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 + -125. Let z(d) = -8*d**2 - 6*d - 6. Let x(n) = -n**2 - n - 1. What is y*z(c) + 24*x(c)?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7765513001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3030 = -3*k - 0*k, -4*q - 2032 = -2*k. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94981.911 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 200, -0.2, 20, 2?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/80*6*(-8)\/(-288)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*g - 3887, 5*g + 3 = -2. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 23. Let t be m(-5). Suppose 0 = -8*q + t*q + 1514. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 - 5*a**2 + 24*a. Let w(t) = t**3 - t**2 + 2*t. Give q(z) - 3*w(z).\nAnswer: z**3 - 2*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) - (-12)\/54. Let z be 1 + (3 - (1 - g)). Suppose 5*t = z*t - 3*c - 1, 25 = 4*t - 3*c. Is 5 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632517 by -210839.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255 + 23*s - 21*s + 211 + 691.\nAnswer: 2*s + 2157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 - -699\/4. Do y and -2\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -9. Let x = 9.02 + y. Sort x, -0.1, 1\/5 in descending order.\nAnswer: 1\/5, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 less than or equal to -64630\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -936*t**5*v*w - 28*t**5*w - 3*t**2 - 1949*t*v + 2*t*w + 2*t + v*w + v wrt t?\nAnswer: -56160*t**2*v*w - 1680*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2\/5, -2\/5, 0.5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 8 - 2. Let l = f + -5. Suppose 2*i - u - 610 = 0, l*i = -0*u - 2*u + 1525. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17400 divided by -580\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 0.4, 2\/7, 4 in decreasing order.\nAnswer: 4, 0.4, 2\/7, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 213632.2mg in micrograms?\nAnswer: 213632200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/30 - r**4\/8 + r**3\/3 - 23*r**2. Let f(l) = -l**3 + 7*l**2 - 10*l + 7. Determine -4*f(g) + 14*t(g).\nAnswer: 4*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m**(2\/5)))\/m**(2\/13))**43)**(8\/11) assuming m is positive.\nAnswer: m**(9976\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57149\/90 + 635. Let k(g) be the second derivative of 0 - 2*g + 1\/27*g**4 - 2\/9*g**2 + 1\/27*g**3 - l*g**5. Factor k(h).\nAnswer: -2*(h - 2)*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2\/7, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8183*j - 4077*j - 4076*j + 4*j**3.\nAnswer: 4*j**3 + 30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2373, -2231, -1991, -1653?\n\"Answer: 49*l**2 - 5*l - 2417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702259 and 1311.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 + (-319)\/(-107). Let i = -34892\/535 - f. Let j = i + 67. Which is the second smallest value? (a) 4\/9 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2599, 109 in decreasing order.\nAnswer: 109, -11, -2599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 43 = 7. Let u = 36 - 30. Let a be (u\/s)\/(1\/(-2)). Solve i - 2*x = a, -2*i = 3*i - 3*x - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:40 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 3. Suppose h*o + o - 16 = 2*j, -3*o = -2*j - 12. Suppose j = -5*i + 26 + 4. Solve 2*x - 4 = i*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:27 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 101 + 31. Let p be 597\/5 - 21\/j. Suppose -5*d + 0*d = -p. Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, c: 3, f: 3, a: 3, x: 1}. Give prob of picking 3 a.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -7*a**6\/120 - 5*a**3\/3 + 18*a**2. Differentiate i(s) wrt s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s + 360 = 169*s - 186*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122201111 (base 3) in base 12?\nAnswer: 7587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/8)*z**(-6\/11)*(z\/z**(1\/5))**(5\/8) assuming z is positive.\nAnswer: z**(7\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130335 divided by 914.\nAnswer: 130335\/914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82*g**4 + 50*g**3 - 6*g**2 - 6*g + 34867614?\nAnswer: 328*g**3 + 150*g**2 - 12*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42900 divided by 20?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 621*w = -620*w + 5, 4*f = -w + 35 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*(r\/r**1)\/r))\/r*r\/r**4)**(2\/57) assuming r is positive.\nAnswer: r**(-8\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 at least as big as -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4559, 135, 9\/7.\nAnswer: 9\/7, 135, 4559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 63*d + 14. Let h(u) = -4. What is a(x) + 3*h(x)?\nAnswer: 63*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -439 + 437. What is the third smallest value in 4, -22, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (89*-9 + -3)\/(-1). Suppose 4*a = 10*a - k. Calculate the remainder when a is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7\/((-987)\/(-15040))*(-621)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 8. Let r be b(6). Let p(h) = -2*h + 14 + 2*h - 3*h + r*h. Calculate the remainder when 13 is divided by p(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -r - 128, -3*r - 71 = 4*p - 576. Let f = p + -123. Suppose f*j - 459 = -5*g, -4*j - g + 453 = 2*g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(14)\/sqrt(2)))\/(sqrt(1008) + sqrt(7)) + (4 + -1 + sqrt(200))*-1.\nAnswer: -129*sqrt(2)\/13 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703873 is divided by 2378.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10477818 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.98321 rounded to two decimal places?\nAnswer: 7.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -136 + 2.33\nAnswer: -133.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -163, -162, -161, -160, -159, -158?\n\"Answer: s - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5454 (base 6) in base 9?\nAnswer: -1647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/389934 and -59\/366444?\nAnswer: 30414852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 27*v**4 + 25*v**2 - 14716*v**3 - 22*v**2 + 5 + 14717*v**3 - 3 to q*v**4 + n + z*v**2 + o*v**3 + f*v and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a - w - 14, 40 = 5*a - 5*w. Factor a*c**3 + 4 - 5*c**3 - 2*c**2 + 2*c - 2.\nAnswer: -2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 37 = -3*n, -w + 3 = 2. Solve -2*i = i - n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 j when four letters picked without replacement from gpjjggjjjgvjjvgpggg.\nAnswer: 98\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74111140 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(6)\/sqrt(3)) + sqrt(231)\/(sqrt(33)\/sqrt(3)))\/((sqrt(144)\/(sqrt(12)*-2))\/((sqrt(4) + sqrt(4)*1)*-3)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 23*l**2 + 3*l - 21*l**2 + l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from dwt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69978.7 rounded to the nearest 1000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90063559 to the power of 1\/2, to the nearest integer?\nAnswer: 9490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57608668.3 + -57608696.50000469. Let n = 28.2 + f. Round n to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*-5)**2 + (sqrt(3) + (sqrt(6)\/sqrt(2))**2 + 5 - sqrt(3)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041349 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49\/(-14)*(2 - 0). Let k = 9 + t. Solve k*r + 2 = -4*f, -2*r + 2 = -4*f - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 7*w. Let f be c(6). Suppose 46 - f = 2*j. Differentiate -5 + 1 + 26*i - j*i wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17515 and 33264375.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 3*c**2 + 78 + 0*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6934, -14303, -22554, -32131, -43478, -57039, -73258, -92579?\n\"Answer: -74*p**3 + 3*p**2 - 6860*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.59 + 3.29. Which is the nearest to 0? (a) r (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035485 rounded to four dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88165, 175514, 262043, 347746, 432617, 516650, 599839?\n\"Answer: -v**3 - 404*v**2 + 88568*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than 75?\nAnswer: 77.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -213, -314, -415?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 5, 2, 4, -48 in increasing order.\nAnswer: -48, -31, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -13\nAnswer: -90\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 24. Let o be u(-6). Which is smaller: o or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 40, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from wwwwwswswwwww?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1942 divide 16192396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221.5 + -203. Let z = 12.05 - f. Round z to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 3:50 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**5\/30 + y**3\/3 - 3*y**2\/2 + 7. Let d(c) be the second derivative of u(c). Let d(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-24)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 523 + -186. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039.128ns in minutes?\nAnswer: 0.0000000173188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 + 3546*s**3\/5 - 1573536*s**2\/5 + 1569992*s\/5.\nAnswer: -2*s*(s - 886)**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*275\/660*(-144)\/(-40)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12720 or 5422?\nAnswer: 12720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18154 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37479 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(1\/(-3)). Let m be h\/(-2)*(-5 + 15). What is the highest common divisor of 25 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + l + 557, 0 = 5*b - 5*l - 685. Let c = b + -137. Solve r - 4*r = -c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 7 - g + 2*g + 2*g. Suppose 4*l + 30 = -l. Determine t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/1308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2. Let k(u) = 7598*u. Determine k(c(x)).\nAnswer: -15196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*((-1 + 1 - 1)*(-2*f + f - f) + (4 + 0 - 2)*(30 + 71*f - 31 + 21*f)) to m*f + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.92 + 2067904?\nAnswer: 2067822.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5722 - -5723. Let y = 6 + -4. Let d = 18 + -17.9. Which is the nearest to -2? (a) n (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = x - 2*x. Let n = -13 - x. Suppose 10 = n*t - q - 79, -5*q + 23 = t. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.12 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 336 divided by -7\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 6*k - 2. Suppose 2*f - 70 = -20. Let q = f + -21. Calculate the remainder when d(q) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjddmhmdm. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 13182*w**2 - 105310*w - 118494.\nAnswer: -2*(w - 6583)*(w - 9)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) -0.05 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-34)\/(-9)*-3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056762 is divided by 4840?\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/6 - 4)*(0 - 1). What is the nearest to 0.1 in 4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45899143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0\/1)\/(-2))\/(-1). Put -9, w, -2 in decreasing order.\nAnswer: w, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -5*g + 44. Suppose -5*k + k = -g. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7265.26 * 4\nAnswer: 29061.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 28*i. Let h(y) be the third derivative of -y**2 + 0 + 0*y**4 - 1\/60*y**5 + 0*y**3 + i*y + 1\/120*y**6. Factor h(u).\nAnswer: u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 6*c - 16 = 4*c, 5681*c + 3 = 5684*c - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.724 + 0.424. Sort d, 0.7, 4, -4 in descending order.\nAnswer: 4, 0.7, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197639770 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(320) + 1 - sqrt(320))**2 - (sqrt(320) + 1)**2*-6) + -1 + ((5 + sqrt(320)*-1 + sqrt(320))**2 - (1*sqrt(320))**2*-4))*3.\nAnswer: 288*sqrt(5) + 9690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + t + 1 + t)*(2 - 2 + 7*t) as y*t + q*t**2 + f and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.543 litres in millilitres?\nAnswer: 461543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -43*z**2 - 303*z - 15. Let f be g(-7). Let k(w) = -6*w**3 + 2*w**2 + 3*w + 1. Calculate k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 2, r: 1, l: 6}. Give prob of sequence rpp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1740*z**5 - 14152*z**4 + 2*z**2 + 1470403*z - 12 wrt z.\nAnswer: -104400*z**2 - 339648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/(-24928)*76)\/((-2)\/(-376))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 63*l**2 + 492*l + 144. Let o be t(-70). Determine h so that 314\/5*h**3 - 428\/5*h**2 - 86\/5*h**o + 8\/5*h**5 + 64\/5 + 128\/5*h = 0.\nAnswer: -1\/4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 - 21?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 86 - 64 = 6*n, 3*n - 4*z - 9*z = -10*z + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let x(a) = a**2 - 7*a - 4. Let w be x(8). Suppose w*o = -y*o + 84. 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: Let s be (22 + (-2 - -1))\/(-8 + 9). Suppose -u - s = -8*u. Calculate the lowest common multiple of u and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 809268681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/5)\/(6\/30). Solve 0 = -5*t - 20, 2*w - 2*t + 12 = -r*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 + 1 + -3 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglvggtvlvglllv. Give prob of sequence tgvg.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 - 14 + 0 = -11*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2*13\/((-6006)\/(-44)))\/2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59697125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = -3*c, 3*c - 5*b = -0*b - 7. Let j be 2\/2 - (-5)\/(-1). Let h(i) = i + 1. Let w(k) = 3*k + 6. What is c*w(s) + j*h(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 9*q = 0. Suppose 50 = -q*j + 2*j. Suppose -3*u + c + 4 = -1, -u - 5*c - j = 0. Solve -t + 4 - 2 = u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 41. Calculate the remainder when 123 is divided by j(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -35*t**2 + 10*t + 8. Let l(k) = -44*k**2 + 10*k + 7. Let n(v) = 5*i(v) - 4*l(v). What is n(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.7871 and -1312.\nAnswer: -1317.7871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let d = 1\/4 + -3\/28. Let p be (-14)\/(-154) + (-15)\/(-77). Which is the second smallest value? (a) r (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**4\/11 - 730*d**3\/11 + 16374*d**2\/11 + 12880*d\/11 - 4232\/11 = 0. What is d?\nAnswer: -1, 1\/4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30514 and 2508?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m + (0 - 1 + 0)*(2*m - 5*m + m) + (-3 - 1 + 6)*(0 + 2*m + 0))*(15*m**2 - 15*m**2 - 119*m**4).\nAnswer: -595*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14583, 14583, 14587, 14595, 14607, 14623?\n\"Answer: 2*g**2 - 6*g + 14587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406428 by 33869.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -535*c**5\/8 - 88273*c**4\/8 - 856185*c**3\/2 - 787529*c**2\/2 + 836078*c - 3120 = 0.\nAnswer: -104, -60, -2, 2\/535, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12255 is divided by 233.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32167.96g in kilograms?\nAnswer: 32.16796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/5 + 3711*k\/5 + 238476\/5 = 0. Calculate k.\nAnswer: -1169, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*u = -15, 0 = 10*l - 6*l + 3*u - 39. Let g be -4*(12\/(-4) - (888 - l)). Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/4, -2\/69 in increasing order.\nAnswer: -5, -3\/4, -2\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2401) + -1*sqrt(2401) + sqrt(392)\/sqrt(8)*2)\/(sqrt(112) + -3*sqrt(112) + sqrt(112) + sqrt(7) - 3*sqrt(567)).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + -262544?\nAnswer: -262557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 + 4127106*k**4 - 49525746*k**3 - 57779952*k**2 + 49525743*k + 53652846 = 0. What is k?\nAnswer: -1375714, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2 - 155055*n + 310122 = 0.\nAnswer: -51687, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4860) + sqrt(4860))\/sqrt(12) + sqrt(720)*-2*4 + ((sqrt(220)*-3)\/sqrt(11))\/(sqrt(16)*3))**2.\nAnswer: 123245\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 + -3. Let v = -125\/183 + 1\/61. Which is the nearest to 2\/5? (a) v (b) 2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) + -3)*5.\nAnswer: -15 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 0*r**2 + 5 + 11*r**2 - 19*r + 25*r as n*r**2 + s + z*r and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 13. Let y(q) = -q**2 - 4*q + 9. Let g be y(-7). Let f be b(g). What is the nearest to 1\/2 in 5, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2152*i**3 - 8*i + 2176. Let c(b) = 4300*b**3 + 18*b - 4352. Let f(t) = -4*c(t) - 9*l(t). Find the first derivative of f(m) wrt m.\nAnswer: 6504*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 1 + 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -14.4317 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 7:24 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5777\/462 - -1\/231. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 11) in base 10?\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 n when three letters picked without replacement from {n: 5, h: 5, w: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -57*w - 4. Let g(k) = 2*k**2 - 4*k**2 + 3*k**2 + 6*k**2 - 5*k**2. Give h(g(c)).\nAnswer: -114*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 2*f - 971. Determine p(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 10) to base 14.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4\/4*(19\/10355)\/(25\/(-50)).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 2*z + 1287. Let h = 244 - z. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18312854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6045637 nanograms in milligrams?\nAnswer: 0.0000006045637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (5 - -1)\/3. Factor 2*y**4 + 2*y**5 - 5*y**u + y**4.\nAnswer: 2*y**4*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 61245265\nAnswer: -1\/12249053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t - 1. Let j be (-32)\/(2 + 2)*-1. Suppose -j*a + 3*a = -10. Is y(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1588*u - 3072*u + 2720*u + (-1 - 5 + 4)*(2*u - 4*u + 4*u).\nAnswer: 1232*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.081 and -4.24.\nAnswer: 0.34344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 12 = -17 - 46 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = 42*n - 489*n - 5335 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) - (-268)\/8. Let p = r - 24. Solve 4*b = p - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 87\/4*z**4 + 4\/3*z**3 - 6*z - 5 - 9\/2*z**2. Let i be c(-6). Round i to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1653 + 2277 = 6*r. Suppose -r - 1073 = -18*m. What is the highest common divisor of 240 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 70384*w - 1408115. Determine d(20).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -29*v**2 - 144*v - 52. Let n(o) = 57*o**2 + 287*o + 106. Let f(h) = -13*l(h) - 6*n(h). Factor f(q).\nAnswer: 5*(q + 4)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 + 182*c**2 + 72*c + 57. What is q(-30)?\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13*(5 + (-10 - (-7 + 3))). Solve -8*i + 53 = f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5967, 11997, 18039, 24099, 30183, 36297, 42447?\nAnswer: 48639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {q: 11, g: 1, u: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16739104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 17*b**2 - 6*b + 64. Let d be o(10). Which is smaller: -695 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-864)\/21)\/((-2)\/7) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1772 + 1829. What is the smallest value in 0.04, 2, u?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let z(d) = -47*d + 3. Let q(o) = -110*o + 7. Let k(v) = 3*q(v) - 7*z(v). Give k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 95 + -115 + -5 + -3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240))\/sqrt(3) + 4*(sqrt(5) + sqrt(5)*1 + -4)**2.\nAnswer: -68*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62484*v - 62489*v = 35 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1362515 = -s - 5*v + 186232, -4*s + 4*v = -6195036. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 6 + (0 - 4) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -161. Suppose -o + 8 = -3*h, -q = -4*o - h - 3*h. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30873 divided by -3?\nAnswer: 10291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**5\/10 - 7*c**4\/24 + 3*c**3\/2 - 15*c**2\/2 + 17. Let f(q) be the second derivative of w(q). Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -9*k**2 + 1\/3*k**4 + 0 - 25\/3*k**3 + 1\/60*k**5 + 0*k. List the prime factors of b(-16).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f)*((-4 + 2 + 9)*(-1 + 3 - 3) + (-5 + 5 + 4)*(-5 - 4 + 0) + 0 - 4 + 2)*(-1 + 3 - 4).\nAnswer: -90*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/73486191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {e: 4, t: 1, n: 3, z: 3, s: 6, q: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5754, 5, -2 in ascending order.\nAnswer: -5754, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 - -152. Suppose q = 4*c + 4*q - 21, -g*q - 16 = -2*c. Solve t + 2 + 2 = -5*y, t - c = 5*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 - 3.9?\nAnswer: -3.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*a = 26, -2*a + 8 = -6*a. Let r(u) = -z - 2*u - 8*u + 5*u. Calculate r(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914438.\nAnswer: 2, 7, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 18 = 26*j. Calculate the remainder when 4\/(-6) + (-50)\/(-3) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 247042. Let y(t) = 17*t. What is m(y(i))?\nAnswer: 578*i**2 + 247042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 3*n**2 + n - 1 - 2*n + 2612*n - 780*n**2 - 2612*n + (-3*n + n + 0*n)*(0 + 0 + 2*n).\nAnswer: -783*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 12*f**2 - 6*f + 12. Determine j(-12).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 245504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42 + (1 - (-185)\/(-30)))*53298\/2115.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00544983767 to 7 decimal places.\nAnswer: -0.0054498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3088*f - 106095 = 1159*f for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -262 + 343 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 285*j + 286. Let v be y(1). Is 103\/196 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 832798, 832788, 832778?\n\"Answer: -10*s + 832808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91 + 0.198?\nAnswer: -0.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*p**3 + 0 - 1 + 95*p**3 to the form t*p**3 + n + g*p + u*p**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3900\/(-80))\/((-1470)\/1568)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3, -4*n + 23 + 5 = 4*a. Let y be n\/(-12 - (0 + -1)). Let t = -91\/88 - y. What is the second smallest value in t, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812413 is divided by 1833?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 66 + 18 = -3*w, 0 = 5*f - 11*w + 256 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560\/(-17375) - (-3924)\/1950?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + 1*6*sqrt(1900))**2 + ((sqrt(1900) + sqrt(1900) + (sqrt(1900) - 1*sqrt(1900))*6)**2 - (5 + sqrt(1900) + -2)**2).\nAnswer: -336434 + 2940*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1909102 rounded to 4 dps?\nAnswer: 0.1909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l - 420. Suppose -4*u = 7*o - 2*o - 104, -3*o = -3*u - l. What is the remainder when 71 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/28)\/((-1)\/(-106)). Is b smaller than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:46 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 32, 2\/5, -1438, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 2 - 1)*(-3*w**4 + 3*w**4 + 2*w**4 + (6*w + 2*w - 3*w)*(-3*w**3 + 0*w**3 + 2*w**3)) as n*w**2 + p*w + d*w**4 + y + m*w**3 and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004514135 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 20*d**2 + 7*d + 14. Let j(x) = -31*x**2 - 11*x - 21. Let l(r) = -8*i(r) - 5*j(r). Give l(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3 - 3)*(0 + 2*u + 0) - 51*u + 10*u - 28*u to the form d*u + i and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-264)\/20)\/(192\/240)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 136285.77 and 687235.\nAnswer: 823520.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5519024 - -1539024. What is b rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 10:19 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/76 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73*4.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -98*z + 4813. Determine l(49).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055574933 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6132 + 1078.9868. Round a to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*d = -16521 - 81 - 1044 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 14*a - 18*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 48821250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 2*g - 2. Let d = 8 - 2. Let k = -3 + d. Let j(q) = -2*q**2 - 3*q - 2. Let z(w) = k*a(w) - 2*j(w). What is the derivative of z(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (150 - -42) + 0*(-2)\/(-6) and 288?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/1 + -738*19\/(-342).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 4\/399145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 greater than or equal to 0.2082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511683 (base 9) in base 6?\nAnswer: 45135550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 114*d**3 + 2142*d**2 + 13294*d.\nAnswer: 2*d*(d + 17)**2*(d + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*n - 3*n**4 + 24*n + 5*n**2 - 3*n**4 as a + z*n**4 + q*n + p*n**2 + d*n**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 2. Let q be o(-2). Let m = q + 15. Let r(b) = -2 + 2*b - m - 1 + 6. Determine r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 1\/2 in increasing order.\nAnswer: -4, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10)*(-8651)\/422. Is -9 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46f + -b9?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -12, 1, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(r**2 + 5*r**2 - 3*r**2).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.4036 - -0.2.\nAnswer: 36.6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -14*m + 43. Let f(n) = 9*n - 31. Give -5*f(y) - 6*u(y).\nAnswer: 39*y - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/9, 1.518, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*r - 136*r + 2925 = -307*r for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450661*w**2*y**2 - 5*w**2*y + 2*w*y**2 - 46615 wrt y.\nAnswer: 901322*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*b + 14, 0 = -73385*q + 73388*q + 5*b - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -12)\/(4\/12). Let m be -2 + (-6)\/(-3) + 4. Calculate the greatest common factor of m and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -276961\/16167550 + 8\/6599. Find the common denominator of 109\/2450 and i.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4096*t - 83. Calculate y(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 41*b + 5. Let d(n) = 4*n. Determine p(d(m)).\nAnswer: 164*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6*(11\/22)\/(4\/20)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 128*u - 1068. Give y(10).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, z: 2, h: 2, u: 8, p: 3, g: 4}. Give prob of picking 1 z, 1 c, and 2 g.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -2\/3, 16, 0.07?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -15, 2\/5, -1\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 68. What is the remainder when 93 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 + 17*t**2. Let g(j) = -j**3 - 6*j**2. Give 11*g(z) + 4*p(z).\nAnswer: z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 108*p**2 - 632*p + 5. Is d(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.091137 decades to months.\nAnswer: 10.93644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330432 is divided by 109926.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from htkktkt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 42*l**2 - 7*l - 9. Let z be d(-1). Solve 16 + z = 14*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8645 divided by -247?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-430)\/4 - (-16 - (-330)\/(-44) - -21). Suppose -3*c - n = 381 - 69, 3*c - 4*n + 312 = 0. Which is bigger: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*p**2 + 11 - 5 - 18 wrt p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223335\/47 - 4752. Find the common denominator of k and -54\/11.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*w - 4*v, -2*v + 13 = 2*w + 3*w. Suppose p = w*p. Which is the third smallest value? (a) 5 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -271953\nAnswer: 2\/90651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -2, -0.05, 0, 12, -15 in descending order.\nAnswer: 12, 0, -0.05, -1\/14, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**3 - 259*i**2 + 775*i**2 + 0*i**3 + 262*i**5 - 287*i**2 wrt i.\nAnswer: 15720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(15)\/sqrt(3))*-6.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 1 - -14*236. Suppose -f + t = 2*f. Suppose w - 9201 = -f. Round w to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -2*sqrt(65))*-3)\/(sqrt(5)*1*3).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127 - 1767?\nAnswer: -1767.0127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -34 + (9 - (-8 + -85 + 15)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 41.\nAnswer: -75\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204 - -209. Which is the nearest to -10? (a) 2 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)*w)**(1\/34))**17*(w**1*w)**4*(w**1)**(7\/12) assuming w is positive.\nAnswer: w**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 = -110. Suppose 51 - 3 = z. Let l = z - r. Solve -4*w - 14 + 1 = -o, w = -5*o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 1. Let u be t(-1). Suppose y = -y + u. What is the remainder when (y + 0)*18 + -2 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 6*a**2 + 6*a - 2. Let n be 81\/18 - 2\/(-4). Let b be i(n). Suppose 18 + 25 = 4*g + 3*r, -3*g + b*r = -6. Solve -d + 2 = g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004666 to six decimal places.\nAnswer: 0.000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztzzxuxxzzzut. What is prob of picking 4 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a\/a**(1\/2)*a)\/a))\/(a**(4\/5)*a))\/(a**(-2\/7)*a**(-2\/11)*a*a) assuming a is positive.\nAnswer: a**(-1411\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o + o - 2*o - 2 + 2 + (o + 2*o - o)*(0 - 2 + 4) - 5*o + 5*o - o - 2*o + 4*o + 0*o - 4 - 2 + 6 - 57*o.\nAnswer: -53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 1. Let w(m) = -4*m - 1. Let u(o) = -4*w(o) + 7*z(o). Let g be u(4). Solve -10 = 3*a - g*f, -4*a = -a + f - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7466 + 918269\/123. Find the common denominator of u and -109\/10.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -912067.535647 and 2.\nAnswer: -912065.535647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -721? (a) 0.3 (b) 3556 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Which is the second smallest value? (a) 5 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, 16, -512, -180, 1 in ascending order.\nAnswer: -512, -180, 1, 2, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/2 - 14*s**3\/3 + 19*s**2\/2 + 48*s - 140. Is 3 a factor of i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3 + (-12)\/3. Suppose 15 = 2*s + h. Suppose s*u - 14 = 5*u. Solve -2*k = -m - 3*k + u, 3*k - 16 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {t: 3, j: 1, e: 1, c: 2, d: 4, o: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9180 divided by 6?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -35. Let g(u) = u**2 - 2*u + 2. Let t be g(d). Let k = t - 17. Solve 3*n + 15 - 3 = k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-85)\/(-15))\/(1\/3). Let c = v + 85. Suppose 0 = 3*r - 4*r + c. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/4 - 6974967*d\/2 - 16216721550363\/4 = 0. What is d?\nAnswer: -2324989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -285733036\/4431 - -64485. Let y = x + -44941\/8862. Let c = 25\/33 + -3317\/66. Find the common denominator of y and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 238856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v + 5200 = 117*v. What is the highest common factor of v and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -978*i - 18. Does 30 divide w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000238288683 rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 159337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 4*v**2 - 5*v + 1. Let q(w) be the third derivative of w**6\/60 - w**5\/20 + w**4\/6 - w**3\/6 + 145*w**2. What is 4*q(o) + 3*s(o)?\nAnswer: 5*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 185*n + 430. Determine s(3).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232 + -1121130?\nAnswer: -1123022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9975 at least -10077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 12, 3*u - 1 = -4*g - 2. What is the second derivative of -a**2 - g*a + 3*a + 0*a - 3*a wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Let f = 4619 + -4622. Which is the second biggest value? (a) f (b) -0.02 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q = 35*q - 8. Let i = -8 - q. Which is the nearest to 1\/2? (a) 4 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893865919.\nAnswer: 893865919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = -33. Let o be v\/48 - 44\/(-3). Suppose -o*s + 0*s + 2*s**4 - 35*s**2 + 23*s**4 - 11*s**3 + 10 + 26*s**3 = 0. What is s?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 + 3*b + 1. Let s(x) = -20*x**2 + 16*x + 5. Give 11*p(m) - 2*s(m).\nAnswer: -4*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - -60. Suppose 15*l - 210 = 9*l. Calculate the remainder when a is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-2 - 10)) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 2. Sort 5, 2, f.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose 90 = j*b + 2*b. Let w = 19 + -9. Calculate the remainder when b is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.69 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -12. Let d = -18.4 - m. Put -0.06, 4, d in decreasing order.\nAnswer: 4, -0.06, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 36. Let n(w) = -w - 5. Give k(g) + 6*n(g).\nAnswer: -9*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o + 147*o + z = 73*o + 3, 0 = 10*o - 49*o - 3*z - 87 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-533)\/208)\/((18\/8)\/(-9)).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6131.\nAnswer: 1\/6131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:16 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -1050*o**4 - 957*o**4 + 2006*o**4 - 741*o**2 + 128*o**3 + 1098*o = 0.\nAnswer: 0, 3, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-2 - 21 - -10)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 1. Suppose -3*f - 3*g + 45 = -0*g, 3*f = -4*g + 42. Suppose -12 + f = 3*a. Let v(z) = z + 1. Determine a*v(b) - y(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Let w(v) = 5*v**2. What is 12*l(p) - 4*w(p)?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20389, 15 in descending order.\nAnswer: 20389, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 24505?\nAnswer: 73515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(1\/4))\/l)\/(l*l**(-4))*(l*l\/(l*l\/(l*l\/(l\/(((l*l\/(l**1*l)*l)\/l)\/l))))*l*l)**(-8\/7) assuming l is positive.\nAnswer: l**(41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 - 2*d. Let s be x(-3). Let q be (-1 - 1) + 0 + s. Solve -q*g + 11 = -5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 260018664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16832281763979 and -0.1.\nAnswer: -16832281763979.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182180 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x - 1. Let y be d(-1). Suppose 13*r - y*r = 176. Suppose -r + 62 = 3*c. What is the greatest common divisor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 11*w**2 + 26*w - 4. Give y(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/2463?\nAnswer: -5\/2463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -146499358, -292998715, -439498072, -585997429, -732496786?\n\"Answer: -146499357*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -2*i - 0, 27 = -5*p + 3*i. Let l be p + 8 - (1 - -2). What is m in 0 + 1\/2*m**3 - 3\/2*m**4 + 3\/2*m**l - 1\/2*m = 0?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t + 6. Let u be 0 - (-2 - t\/2). Are 1\/6 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 15 = 5*z, 5*m - 6 = z + z. What is the remainder when 678\/15 + z\/15 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**(-3\/28))**(-2\/129)*(t**7\/t*t\/(t\/((t\/t**(-1\/10))\/t)))\/(t**(2\/5)\/(t**(7\/5)\/t)) assuming t is positive.\nAnswer: t**(73449\/12040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w - 3. Let t(q) = 50*q + 9. Calculate -17*m(z) - 6*t(z).\nAnswer: -11*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 21448022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from {x: 15, m: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 + 2\/(-2). Let b = -2977 + 41659\/14. Find the common denominator of v\/(-8)*33\/(-2) and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 33\/13, 3, -0.4.\nAnswer: -0.4, 33\/13, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 23765305*z - 95061300 = 0. What is z?\nAnswer: -4753065, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*m = 4*c + 12, -3*m = -c - 12. Let g be 4\/c*45\/(-6). Let v(f) = f**2 + 5*f + 9. Let o be v(-6). Calculate the highest common divisor of g and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 14*w - 40\/3.\nAnswer: -2*(w - 4)*(w - 1)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1688*h. Let m(z) = 12*z**2. Determine m(g(w)).\nAnswer: 34192128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(22)*6)\/sqrt(11).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(175) - (sqrt(175)*-3 + sqrt(175) + sqrt(175))))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 + (-182)\/(-80). Let s = 97\/8 - o. Find the common denominator of (4 + -6)*(-159)\/36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 5. Let x(y) = -1 + 6 + 4*y - 4 + 8. Calculate 11*g(k) - 6*x(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) 3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2479267 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from akawkkkkkkwtlhk?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1901 - 1898. Put m, 0, 2\/91 in decreasing order.\nAnswer: m, 2\/91, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2077.718 and -0.5.\nAnswer: -2078.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:43 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:30 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.178.\nAnswer: 0.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26442 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 = 3*d + 99. What is the remainder when d is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -918.65914 - -915.46915659. Let i = p + 3.19. Round i to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67\/710 - 2\/355. Put 0.2, -0.4, 0.4, c in descending order.\nAnswer: 0.4, 0.2, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1298*q**4 + 981*q**4 - 1385*q**4 + (q + 0 + 0)*(-q**3 - 3 + 3) in the form j + d*q**2 + k*q**4 + r*q**3 + n*q and give k.\nAnswer: -1703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -67 and 2133971496.\nAnswer: 2133971429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0094662748 rounded to four dps?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 22 = -7. Suppose 19 = o*a + 1. Solve -1 + a = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (12 - 16) + 7 + 8 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1056, 1909, 5.\nAnswer: 5, 1056, 1909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1321 (base 11) to base 2\nAnswer: -11010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133253314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*w + 376, 96*o = 91*o - 3*w - 648. Let v be (o\/330)\/(1*(-4)\/50). Solve 0*k + 5*k = -v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 969 divided by 488898\nAnswer: 323\/162966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218 - -512. Suppose -l = -2*u + 563, -2*u + u + z = 2*l. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5573 - 5569. Solve -12 = q*c + l, 76*c - 12 = 80*c - l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-756)\/(-15) + -2)*5. Suppose -5*b = 2*j - u, 25 + 24 = b + j. Suppose 2*s - 24 = b. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszsggzzggssgigszs. What is prob of picking 4 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 1. Let u = -150 - -289. Suppose 534 = 5*b + u. Let g = 81 - b. Give x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0.3. Let y(m) = -23*m - 3. Let l be y(0). Sort f, l, 4\/7, 5.\nAnswer: l, f, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72630525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7587706\/13 less than -583671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9060 and 5436?\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.666 - 2.6. Let v = z - 7.866. Let s = v - -8. Is s <= 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -206680, -413348, -620022, -826702, -1033388, -1240080, -1446778?\n\"Answer: -3*y**2 - 206659*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 100.332.\nAnswer: 104.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 4. Suppose 5*k - 4*i = -34, i + 4*i - 11 = k. Let p be (-4)\/k*45\/(-6). Give j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6120 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 114 = 3*n, -2255 - 2215 = -3*n + n - 4*u - 4570 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 3. Let f(w) = -w + 1. Let u(v) = -36*v + 937. Let q be u(26). What is q*m(n) - 2*f(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 3*t**2 + 159*t - 813. Give u(6).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 + 12*t**2 + 3*t - 4. Give f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 4. Determine o(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s + 12 = 0. Let i(m) = -m**2 + 4*m - 1. Let g be i(s). Suppose 7*z - 8 - 69 = 0. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + -180. Calculate the remainder when 172 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84996 is divided by 6864.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373.\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104043 - 142340?\nAnswer: -34253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6105*t + 6105*t - 96*t**3.\nAnswer: -96*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 31. Let x be i(-15). Is -4 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (850\/(-90) + (11 - 2))*-9 + 680\/(-168)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**(-4\/9)*u)\/u))\/u**(-6))\/(u**1*u*u*u*u**(-11)*u))**(-19) assuming u is positive.\nAnswer: u**(-2128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1171399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -469*z**6\/3 - 2*z**3\/3 - 1006*z + 1375. Find the third derivative of u(x) wrt x.\nAnswer: -56280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 42*z + 9*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Let p = w + 1. Do -12 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10365830190*j + 3*j**3 + j**3 - 3*j**3 + 10365830183*j.\nAnswer: j**3 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83687, 334745, 753181, 1339001, 2092211, 3012817, 4100825, 5356241?\n\"Answer: z**3 + 83683*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250660 - 80120 = -10*k. Suppose -13*p + k = -44987. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1690461*x**4 - x**2 + 2291776*x?\nAnswer: 20285532*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2197 + 43522. Suppose -o = 7*u - 132666. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 16, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233760 divided by -120?\nAnswer: -26948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffss when four letters picked without replacement from {s: 9, f: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274309370 by 1.\nAnswer: -274309370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/126*3 - (-85)\/(-210)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902653 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 3*t**2 - 2*t - 2. Suppose 1 = -h - 5*f, -5*f - 75 = 5*h - 90. Suppose -3*j - 4*y = 18, -j - h*y - 3 - 11 = 0. Give d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(200) - (sqrt(200) + sqrt(200)*2))*-4)**2)*-1 - 6*(1 + 0 + sqrt(200) - ((sqrt(200)*2 - sqrt(200))*-2 + sqrt(200))**2).\nAnswer: -11604 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20860097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i - 5*i + 26 - 32.\nAnswer: -17*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 37, 3, 0.1 in ascending order.\nAnswer: 0.1, 1, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0*u - 4*u + 5*u) + 2 + 2*u - 2 + 415*u - 380*u - 291*u.\nAnswer: -252*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-48)*63\/(-24)*47\/(-329)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109469 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 -35 (base 7) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*r + 1031 = 4*z, -5*r = z - 264. Calculate the remainder when z is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - 2. Let s = -0.507 + 299.507. Let d = -300 + s. What is the third biggest value in o, 0.05, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 0*f - 10*f)*(1 - 1 + f**2)*(0 + 0 + 2*f).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1013015336205 and 1.\nAnswer: 1013015336206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1574, -1583, -1570, -1517, -1406, -1219, -938, -545?\n\"Answer: 3*c**3 - 7*c**2 - 9*c - 1561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21e41 - cbc?\nAnswer: -22c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176803*v - 142370 wrt v.\nAnswer: 176803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8200, -16193, -23982, -31561, -38924, -46065, -52978, -59657?\n\"Answer: b**3 + 96*b**2 - 8288*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56100 and 31100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 19 = 0. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2469.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3020 (base 7) to base 5\nAnswer: -13133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18179*f**5 + 27*f**4 - 40617895*f wrt f?\nAnswer: 363580*f**3 + 324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.92 - 56.92. Let z = t - -63. Is z bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2185293ms to nanoseconds.\nAnswer: 218529.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = 4. Suppose 0 = -5*z - h + 14, -z + 3*h + q = -4. Solve 0 = -5*u - 20, 5*u + 11 = z*o - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 - -1343\/5. What is the second biggest value in g, -1\/8, -0.2, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 6*w. Suppose w*t - 488997 = 3*t + a, 0 = -5*t + a - 815003. Round t to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1376, -1372, -1368?\n\"Answer: 4*y - 1380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-134)\/(-26) - 112\/728. Suppose -10 = -0*i + 5*i, z*i - 70 = -5*s. Calculate the lowest common multiple of 80 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*j**2*w**2 - 7*g*j**2*w - 102*g*w + 473*j**2*w**4 wrt w.\nAnswer: -4*g*j**2 + 5676*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, r: 1, q: 6, o: 2, i: 2, x: 1}. What is prob of picking 1 b, 1 o, and 1 i?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 2 (b) 3 (c) 1100.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5003 = -6481. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 52?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 7.8627\nAnswer: -117.9405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 393539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97 + 100)*(-104)\/(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17028 and 95238.\nAnswer: 8190468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + x - 6*x + 0*x**3 + x**2 + x in the form f*x + o*x**2 + v*x**3 + t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29861*h**3 - 29863*h**3 + 59717*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 - 815*g - 9570 = 0. Calculate g.\nAnswer: -11, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(147))*1 + 5 + -1*sqrt(75))**2.\nAnswer: 28*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 42040?\nAnswer: 126120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5850 is divided by 595?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13679, 13722, 13767, 13820, 13887, 13974, 14087?\nAnswer: 14232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from ffdiffzzf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45310038.\nAnswer: 2, 3, 7551673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0923386 rounded to three dps?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 9. Suppose f = -2*j + 6*j. Determine d so that -1\/2*d**5 + 0*d - d**4 + 1\/2*d**3 + d**2 + j = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2752789*x**3 + 2*x**2 - 87*x - 177 wrt x?\nAnswer: -16516734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 19*k**8\/20160 - 7*k**5\/30 + 42*k**2. Let j(v) be the third derivative of s(v). Let t(h) = 2*h**2. What is t(j(f))?\nAnswer: 722*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*q - 996*q = -248 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11024231004 - 15?\nAnswer: -11024231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*q + 13 = j + 230*q, 5*j + 1 = 2*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3200671028 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*k**3 + k**2 - 66*k**3 + 2*k**4 + 124*k**3 - 1 in the form l*k**2 + n*k**3 + g*k**4 + s*k + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 3. Which is the third smallest value? (a) -0.2 (b) -2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/8 - n**3 + 2*n**2. Let d(m) = -8*m + 17. Calculate -6*d(z) - 17*s(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 4, y: 2, u: 2}. Give prob of picking 1 g, 2 u, and 1 y.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6228 and 2076.\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*b + 4*s, -2*s - 5 = 2*b - 1. Solve -7*l + b*l + 1 = 5*a, a + 23 = 5*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13795 (base 12) to base 7.\nAnswer: -141560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*p - 26, 6 = -2*p - 4. Suppose 0 = -5*g + c*b - 5 - 54, 3 = 3*b. Let n = g + 17. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-1 - (2 + -3)). Let m = 3 - l. Find the second derivative of -x**m + 0*x + 0*x + 2*x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75606, 75609, 75612?\nAnswer: 75615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-172)\/(-22) - -1 - (-1222)\/6721. Let y(p) be the third derivative of 0 + z*p**2 + 0*p + 0*p**3 + 1\/8*p**4. Let o(r) = r. Determine y(o(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -183?\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (105 - 38) - 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*m + 228*m - 432*m - 3.\nAnswer: -49*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 4*u + 416. Suppose b + 8 = 2*o, 3*b + 0 - 6 = 0. Sort o, 0, u in decreasing order.\nAnswer: u, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 855901\nAnswer: -2567703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3212250 divided by 15?\nAnswer: -214150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20\/z**(1\/10)*(z*z\/(z*z\/(z**(1\/9)\/z)))\/z*z\/z**(-2) assuming z is positive.\nAnswer: z**(1891\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6163*z - 73947. Give a(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t + 5. Let u(c) = -11*c + 6. Let w(v) = 6*l(v) - 5*u(v). Let n(g) = -g**2 - 2. Give n(w(a)).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 25*m - 46 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 13*g - 16*g + 20, -5*a = 4*g - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -840 by -56.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238, 557, 894, 1249, 1622, 2013?\n\"Answer: 9*i**2 + 292*i - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 55) + (280 - 297)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-40)*((-1792)\/(-2940))\/8\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10674607 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 66*x**3 + 17*x**2 - 11*x + 11. Let c(u) = 21*u**3 + 6*u**2 - 4*u + 4. Give 11*c(v) - 4*h(v).\nAnswer: -33*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27117532 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*t - 715 + 31 = -104*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krkrkjrhrhrhkhhhhhrr. What is prob of picking 1 r, 1 j, and 1 k?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -11*j**7\/105 - 5*j**3\/2 + 35*j**2. What is the first derivative of n(s) wrt s?\nAnswer: -88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) 1\/4 (c) 0.2 (d) 2594\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.55563 and 30?\nAnswer: 30.55563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11588321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 650 + -654.91. Let v = o - -4.91. Let q = -10 + 9.74. Which is the nearest to 1\/2? (a) q (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -587735990.999042 - -587737047. Let d = -1056 + h. Round d to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8065327, -8065331, -8065337, -8065345, -8065355, -8065367?\n\"Answer: -o**2 - o - 8065325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-3)\/83)*2. Is (-2 + 1)\/(2\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 44, 61, 80?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 31. Let b(m) = 12*m + 117. Let a be b(-10). Sort p, 4, 1, a in decreasing order.\nAnswer: 4, p, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3230244 divided by 1908\nAnswer: -1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(152) + sqrt(152)*-2 + sqrt(152)) + sqrt(152))\/sqrt(8)*6.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517 and 1114790039.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 554691924 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/175779031 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4)*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -2, 1 in increasing order.\nAnswer: -2, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -286*c*r - c + 893*r wrt c.\nAnswer: -286*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-22 + 10)) + -4 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 2*x**5\/15 - 4*x**3\/3 + 178*x**2. Let r(s) = 2*s**2. Determine p(r(m)).\nAnswer: 32*m**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127514 is divided by 866.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1030 - 1029.6. Let x = 3 + -2. Let i = 223\/756 - 1\/108. Which is the nearest to x? (a) v (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 6*o**2 - 8. Let f(v) = -2*v**3 - 5*v**2 - 7. Let s(r) = -7*f(r) + 6*k(r). Let g be s(-1). Solve 4*j = -g*a, -a - 2*j = -0*j - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8556\/782 - (-11)\/(-1)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39167 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1028)\/3*(-12 + -3)?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68245 is divided by 241?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*l + 88*l - 4*g + 24, 3*l - 4*l = 48*g - 4*g - 111 - 57 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -19*r**3 - r. Let q(z) = -z**2 + 7*z - 8. Let h be q(6). Let b(k) = -2*k**3 + 3*k**2 + 2*k - 2. What is the lowest common multiple of b(h) and l(-1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 9*v**2 - 10*v + 5. What is the units digit of l(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/3 - 103*s**4\/3 - 409*s**3\/3 + 20107*s**2\/3 + 27320*s + 27300 = 0. Calculate s.\nAnswer: -13, -2, 15, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 34. Let d(l) = l**2. Determine d(a(r)).\nAnswer: r**2 + 68*r + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 30. Put -0.1, r, -0.2 in increasing order.\nAnswer: -0.2, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 260\/6*(-4536)\/(-180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164\/721 - 6\/103. Let f = 2 + -2.5. Let j = f - -0.8. What is the third smallest value in z, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 7*z**2 - 2. Let q = -637 - -630. Calculate d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ad1c15 (base 14) to base 10\nAnswer: -5882763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(-8*45\/(-60)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 114*u - 3494. Is z(33) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337443 is divided by 1534.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:42 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 24 - 9 = 0. Suppose i - q*h = -5*h + 3, i - 3 = 3*h. Let z be 2\/5 + 116\/10. Calculate the greatest common factor of z and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -1264?\nAnswer: -3\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 35?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, f: 13}. Give prob of sequence fff.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 45*v - 84. Let r be t(-43). Solve 0 = r*h - w + 2, 5*w - w = -2*h + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*t + 10. Let w be t\/(-2) - (-1)\/(-1). Let d be (-8)\/(-15) - w\/3. Put -3, -2\/7, d in descending order.\nAnswer: d, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**2 + 10*i**2 + 6*i**2 + 16*i**2. Let l(t) = 2*t. Let j(o) = -11*o. Let s(u) = j(u) + 6*l(u). Give s(b(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211136619 - -0.5.\nAnswer: -211136618.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103110220201 - 1303?\nAnswer: 103110212232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g - 8. Let q(n) = -n + 1. Let y(z) = -k(z) - 4*q(z). Let c(p) = 3*p - 11. Determine -4*c(f) - 11*y(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6005*k**2 - 3783*k - 4.\nAnswer: -12010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(64\/128)*8652\/103.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3012 divided by -420.\nAnswer: -251\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = -i, -3*q = -3*i + 87 - 57. Calculate the lowest common multiple of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1256 times -2.941\nAnswer: 3693.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0*a. Let o(v) = -2*v - 10. Let z be o(-5). Suppose z = -a*k + k - 2. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.041 and -5.\nAnswer: -0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, -75, -130, -197?\n\"Answer: -6*r**2 - 25*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**4\/4 - 5*v**3\/3 - 2*v**2 + 3*v + 6. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 0, -1, -4 in ascending order.\nAnswer: -68, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132 - 15312?\nAnswer: -15444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 22 + 10 = 0. What is the remainder when 22 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*s - 4, 4*t + 17 - 3 = -3*s. Let z(d) = 6*d**2 + 0*d**2 - 5*d**s. Let k(f) be the first derivative of -7*f**3\/3 - 2. Determine z(k(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 26. Suppose 5*q + 9*o = 4*o - 40, 2*o = -5*q - 49. Let i be u(q). Differentiate -2 + 6*m - i + 3*m + 3*m wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48005.177 rounded to the nearest one hundred?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-168)\/(-222)) + 2\/(-7). Find the second derivative of 7 - 1038*w**k + 1036*w**5 + 2*w**2 + w + 2*w wrt w.\nAnswer: -40*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448) + sqrt(2448) + -5 - (sqrt(2448) + (sqrt(2448) + 0)*6)**2)*2 - (-4 + 0 + (-2*-4*sqrt(2448))**2 + sqrt(2448)).\nAnswer: -396582 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*a*q**2*w**3 - 42*a*q**2*w**2 - 2*a*q*w**2 + 41*a*q*w + 3*a*w**2 - 8*q**2*w**3 - q*w**3 wrt w?\nAnswer: -258*a*q**2 - 48*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/2 + 206*x**3\/3 - 2491*x**2 - 16854*x - 5408. Find n such that y(n) = 0.\nAnswer: -3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*f + 6*f - 180, -4*f = 3*r - 270. Let w = r + -61. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289480.9 - -289481. Let c = 21 + -10. What is the closest to k in 1\/2, 3, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-15)*r**17)\/(r\/r**(-2\/7))**(-19))**(-13) assuming r is positive.\nAnswer: r**(-2405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/9)\/p)\/p)\/p**(-2))**(-36) assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3213022 (base 4) to base 9\nAnswer: 22257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*b - 42*b - 18*b)*(0 + 0 - 3*b**2)*(-1 + 2 - 2) + 7*b**3 - 2*b**3 + 0*b**3 as o*b**3 + u*b**2 + x + v*b and give o.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104.00227 - -104. Round a to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2 + 14*l + 4. Let h be (20\/(-5))\/(0 - 2). Let c(d) = 7*d - 6*d + 2*d - 3 + 4 + 2*d**h. Let f(n) = -28*c(n) + 6*w(n). Factor f(q).\nAnswer: 4*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.1, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 1344.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117 or 116?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 - y**2. Let f be c(-1). What is the second derivative of -16*h + 14*h + 2*h**5 - 5*h**5 + h**f wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3215 divided by 1\nAnswer: 3215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 437665141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*((sqrt(5) + 1 + sqrt(405) + sqrt(405))**2 + sqrt(5) + -1 + -5) + 2)*-4 + 2).\nAnswer: 468*sqrt(5) + 21582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25688 divided by -247\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 4\/3*b**3 + 17\/12*b**4 + 0 - 10*b + 0*b**2. What is the second derivative of i(g) wrt g?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-72)*-9*282\/1645*(-620)\/(-6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 30*y + 214. Let s(o) = -2. Let l(x) = -j(x) - 3*s(x). Determine l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 5*d**2 - 6*d. Let g be (-20 - -19)\/(1\/61). Let s = g - -66. Suppose 0 = s*p + 6 + 14. Calculate w(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**5\/4 + q**4\/12 - q**3\/6 - 4*q. Give c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515583580.\nAnswer: 2, 5, 7, 1439, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(6*m**2 - 6*m**2 - 221*m**3 + 120*m**3).\nAnswer: -202*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l, -6*c - 5*l + 520 = -2*c. Suppose -5*y = -4*o + c, -4*y + 0 = 8. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85682 and 8.\nAnswer: 342728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10210230 + 3021?\nAnswer: 10213311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o = -18. Suppose -5*a + 2*m = -o, -2*a = -0*m + 2*m - 10. Let r(q) = q**3 - 2*q**2 - 4*q - 2. List the prime factors of r(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/((-2)\/(-12)). Suppose -t = -4*v + 520, 3*t = -r*v + v + 130. Suppose v + 31 = b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277 + 279. What is the second derivative of 2*q + 20*q - 26*q - 83*q**2 + j wrt q?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p**3 - 96*p**2 - 279*p + 1. Give v(-3).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1029974*j**3 - 1194*j - 1029974*j**3 + j**5 - 2*j**5 + 2*j - 2*j + 0*j**5 - j**5 + 2*j**5 + (2 + 3 - 3)*(3*j**3 + j**5 - 3*j**3).\nAnswer: 2*j**5 - 1194*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 69. What is the smallest value in 2\/21, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (10\/(-45) - (-18670)\/(-5256)). Let w = 1\/292 - h. Put -15, w, -0.3 in ascending order.\nAnswer: -15, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272639066 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 250570*z + 127472000.\nAnswer: 5*(z + 514)*(z + 49600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00071 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 194700 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(50\/(-200) + 4\/(-16)). Let c be (-2)\/(-7) + 68\/7. Solve -c = f - 0*i - i, 2*f = -h*i + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -1 + 21 + -18\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*m + 21, -2*i - 7 = -4*m + 1. Suppose -w + 10 = 2*h - m*w, 0 = -3*h + 4*w + 15. Solve 5*c + 5*u + 10 = 0, h*u - 5 = c - 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/17 - 64*c + 9954\/17 = 0.\nAnswer: -553, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4899726.\nAnswer: 2, 3, 13, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2842\/(-580)*-10)\/(-1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 1675*l + 6 - 838*l - 843*l. Suppose 5*n - 5*c - 23 - 7 = 0, 2*n = 5*c + 15. What is a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:41 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6402 and 52671.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201212 + -211?\nAnswer: -10202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4*c*c**4)\/c**50)\/((((c*c*c*c\/c**4)\/c)\/c**(-2))\/(c**2\/c**0)) assuming c is positive.\nAnswer: c**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -6053276 (base 10) to base 7\nAnswer: -102311015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 21 = 5*z, -5*z + 5 = 5*j - 10. Let n be 50\/15 + z\/3. Solve -2 + 0*u**2 - 4*u + u**2 - n*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31003 (base 6) in base 4?\nAnswer: -1000023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 579*c - 50*c**3 - 520*c + 38*c**2 - 41*c**3 - 36*c**2 wrt c?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/115?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/6 - 2*q**2. Let j(n) = 2*n**2. Let f be 2562\/(-91) - (-4)\/26. Calculate f*j(g) + 6*s(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -106, 6, 4, -4, 1 in descending order.\nAnswer: 6, 5, 4, 1, -2, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 2:59 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/20 + u**4\/2 + 5*u**3\/6 - 5*u**2\/2 + 2*u. Let b be m(-5). Let k(t) = -t**2 - 4*t + 2. What is k(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01 and -255959699.\nAnswer: -255959699.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -60 in increasing order.\nAnswer: -60, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-8) + 6\/(-4). Suppose -2*o - 3*o - 27 = -4*i, -3*i = 4*o + p. Let q be i + 138 + 7 + -4. Calculate the highest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let p be z(3). Let r = 62 - 59. Suppose -p*j = r*t - 75, -88 = -4*j - 4*t + 6*t. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*x = 71 + 68, -n - 123 = -x. Let y = 136 + n. Solve -5*g = -25, 2*g + 5 - y = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(-2*sqrt(7)))\/(sqrt(200)*-3 - sqrt(200) - sqrt(200)).\nAnswer: sqrt(2)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 8*t + 166 = f, t - 48 = 3*f. What is the remainder when t is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15525 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -b38?\nAnswer: -b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/15912 and -157\/7956.\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4364837 is divided by 58?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62921*i - 62921*i + 10*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301613.\nAnswer: 13, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, -6, -2\/3, 29, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -15*u + 19*u. Suppose -3*x - 236 = -3*t - 68, t - u = 2*x. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2. Suppose 3*t - 26 - 1 = 0. Let h(a) = -25*a + t*a + 9*a. Determine q(h(b)).\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 8*s + 2*s - 3*s - 5*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3582 = 26*f - 4102. Solve -2*p + t = 4, -2*p - f + 0 = 3*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3 - 1. Let x(y) = -y**2 + y + 2. Let z be x(r). Which is the smallest value? (a) 0.4 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from tajjg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 4*m - 17. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13676 + 14001. What is the highest common divisor of 200 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 55.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**18\/b**(6\/5)*b*b**(-17)*b**(-1\/2) assuming b is positive.\nAnswer: b**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(114)\/(sqrt(2)*-1))\/(1*sqrt(48)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*h*s*x**2 - 467*h*s*x + 2*h*s - 6*h*x + 2*s*x**2 wrt x.\nAnswer: 124*h*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:14 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 9*p + 10. Let k(c) = 3*c - 15. Let y be k(6). Let q = y + 6. Is 10 a factor of w(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 + 137. Let g = -28 + a. What is the remainder when 27 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r\/(r*r\/(r**(3\/19)*r)*r*r)))**30 assuming r is positive.\nAnswer: r**(2190\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -2*p**3\/3 - 272. Let t(w) = 3 - 2*w + w - 3*w. Let v(c) = -c + 1. Let a(g) = 2*t(g) - 6*v(g). What is a(l(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 25*k**3\/3 - 7*k - 2715. Let f(d) = d**2 - 1. Calculate -5*f(v) + x(v).\nAnswer: 20*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/5 + 738*g**3\/5 + 93534*g**2\/5 + 877982*g + 40443816\/5.\nAnswer: 2*(g + 12)*(g + 119)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 + -7 - 63)\/((-4)\/514)?\nAnswer: 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.169 * -0.21\nAnswer: 0.03549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from {y: 17, i: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10610056 divided by 365864.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4424 + 84017\/19. Let x = 4387\/2128 + z. What is the common denominator of x and 35\/24?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 897 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 - 44. Suppose -2*m + g = 2*m. Solve 3*f = -3*v - m, -2*v = 3*v + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 135283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from xcqqccqcqcv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 5*b - b**3 - b. Let l(o) = -2*o**3 - o**2 - 3*o. Let g(w) = 4*c(w) - 3*l(w). Let j(i) = 3*i**3 + 6*i**2 + 2*i. What is 5*g(x) - 3*j(x)?\nAnswer: x**3 - 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 18 - 8327*w + 47 - 13 as f + d*w and give d.\nAnswer: -8327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94774 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3608\/(-308))\/41)\/(3 + -2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89405, 178753, 268099, 357443?\n\"Answer: -w**2 + 89351*w + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 400, 790, 1176, 1558, 1936?\n\"Answer: -2*o**2 + 396*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -174. What is the closest to -1\/4 in -4, -2\/5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(-3)\/(12\/37) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-12)\/(-15))\/(30\/(-88050))?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 105*g + 145*g - 247*g + 1. Let d(v) = v - 1. Let p be d(4). Determine f(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.037?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4182 and 109\/210?\nAnswer: 146370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4772777.8 rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Suppose 5*s - 3*v = -7*v + 25, i = 3*v. Solve 2*n = -2*d, -2*n - 2*n + 1 = s*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 43217732.\nAnswer: -4321773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -600 + 605. Solve 3*z - 4*a = 24, 5*z + j*a = 2*z - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*b - 405*b - 1030*b.\nAnswer: -1791*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)\/z)\/((z*(z**(3\/5)\/z*z)\/z*z)\/z))**(-26\/3)*z\/(z*z**(1\/4))*z*(z\/(z*z**(2\/13)))\/z*(z*z\/(z*z\/z**(2\/7)))**35 assuming z is positive.\nAnswer: z**(7227\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 11*v = 5378. Is v a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*y + 248, l - 2*l = 4*y - 88. What is the remainder when l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40227506?\nAnswer: 2, 11, 23, 107, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -8*c**3 + 2874*c**2\/5 + 436*c\/5 - 288\/5 = 0.\nAnswer: -2\/5, 1\/4, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1317 - -10539\/8. Find the common denominator of 77\/58 and a.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*v + 231, -18*v + 17*v + 227 = 5*a. Let s(h) = 10*h**2 + 2*h + 1. Let w be s(-1). What is the greatest common factor of w and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13290 and 300.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = -174 - 118 + 31 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - 24 = 0. Solve -2*o - h = -0*o + 12, 2*h + i = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1110\/(-30)*-1)\/(11\/11*-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-10))\/3*15\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7*h = 4*h. Let p = 3192 + -3192.3. Which is the nearest to -0.01? (a) p (b) h (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*g - 130*g - 56*g**2 - 32 + 43*g + 39*g to y + v*g**2 + k*g and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + 36143?\nAnswer: 36126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {i: 2, s: 1, d: 2, p: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -27*i**3 - 288*i**2 - 399*i + 2166 = 0?\nAnswer: -19\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2975040.\nAnswer: 2, 3, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 14*y**2 + 468*y - 5899. Give b(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmtttttmtt?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1. Let l(b) = -b - 2. Let v(m) = -l(m) - 5*q(m). Give v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1193.81 - 1189. Let h = j - 4.77. Round h to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 = -4*l, 0 = 4*l + 2*c + 3 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**3 - 2108 + 2108.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k - 14*k)*(-1 + 2*k**3 + 1).\nAnswer: -34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g + 6. Let p(j) = j + 1. Suppose -r = 2*r - 9. Suppose q = r*q - 16. Suppose -3*o - 3*z + q*z = 3, 0 = -o + 2*z. Give o*p(n) + a(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405769 is divided by 2401.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 1, 1041891?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w, 2*x - 6 + 26 = -w. Let p = -6 - x. Find the second derivative of a**p + 0*a**2 + 2*a + 0*a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5103.0031 + -5104. Let r = -0.0489 - p. Let o = r - -0.012. What is o rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 + 22 = 10*g. Let k(d) = -d**2 + 29*d - 57. Let i be k(g). Let a be (1\/(-15))\/(6\/9). Sort a, i, 2\/17 in decreasing order.\nAnswer: 2\/17, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80872 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1103*x + 123538. Let k be d(112). Suppose -12\/11 - 2\/11*m**k + 10\/11*m = 0. Calculate m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 100*f + 713. Let v be h(-7). Solve -v*c - 60 = 7*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-4))*(-1 - -46). What is the highest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g**4*r + 2*g**4 - 140*g**3*r**3 + g**2 + 9514*r**3 wrt g?\nAnswer: 360*g*r + 48*g - 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-75)*5)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -22. What is the remainder when 18 is divided by (7\/t)\/((-7)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -945*z - 2983. What are the prime factors of i(-12)?\nAnswer: 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3 - (1900006 + -3)). Round c to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3471400 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12878, -51824, -116832, -207902, -325034?\nAnswer: -468228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7617718 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgrqyyk. What is prob of sequence qk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:06 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102b (base 13) in base 7?\nAnswer: 6341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 1441836.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*209\/22*40\/90?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11756, 23507, 35256, 47003, 58748, 70491?\n\"Answer: -m**2 + 11754*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 6)\/((-25)\/(-4) - 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 121*l**2 - 184*l + 128. Give f(-62).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-2*1*-17. Let t = l - -20. Suppose 3*p - 21 = t. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -25. Which is the smallest value? (a) -0.1 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1352635 (base 7) to base 16.\nAnswer: -2c359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -251 times -44.79\nAnswer: 11242.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(20)\/sqrt(2)) - (2*sqrt(35))\/sqrt(7).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -q - q + 4, -3*w + 2*q = 2. Suppose -w*k + 73 = 33. Calculate the highest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 8*i + 5*r, 1143*r - 1146*r = -4*i + 49 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1333*c + 3. Let s(a) = 1. Calculate -l(b) + 3*s(b).\nAnswer: -1333*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 0.2. Suppose 0 = 3*r - 3*b - 3, 0 = -2*r + r - 5*b + 13. Let u be (1\/3)\/((-7)\/r). What is the third biggest value in -0.3, k, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9138 - 9216.104. Let p = t + 78. Let x = 0.23 + p. Round x to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -19*x**2\/2 - 22*x + 22. Differentiate r(z) with respect to z.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 + 317. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 145*a - 75*a - 49 - 60*a + 9. Calculate x(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 2*q + 2*q)*(5 - 27 - 8) + 3*q + 3*q - 4*q to the form h*q + y and give h.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) 41881 (c) -24 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -98*x**2 - 6270*x + 140. What is n(-64)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6326421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, o: 5, e: 4}. Give prob of sequence ekek.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55\/2 (b) 2\/3 (c) 0.2 (d) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/7 + (-90)\/(-42). What is the third derivative of -73*c**6 + 53*c**3 + 79*c**2 - 20*c**h - 33*c**3 wrt c?\nAnswer: -8760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1540*z**3 + z**2 - 9. Let b(r) = -1539*r**3 - r**2 + 7. Determine 5*b(g) + 4*l(g).\nAnswer: -1535*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 times 85?\nAnswer: -2.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28129 and 10501?\nAnswer: -295382629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212572\/(-3)*1539\/(-2052)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4278 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 656*o**2 - 5332*o + 12844. Give q(664).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - l = -11, -2*l - 2 + 6 = i. Let g(s) = 2. Let z(q) = q + 1. Let x = 5936 - 5937. Determine i*z(h) + x*g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(153) - sqrt(153)*1) + 5) + 5 + -3 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 368780 + -155835.9. Let z = s + -212775.1109. Let g = 169 - z. Round g to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.4, 0.07, 4\/9?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - -30. Suppose -3*p = -2*u - d, 0 = -5*p + u - 5*u + 127. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*v - 22 = -2, -7*v - 30 = -4*j. Suppose 0 = 4*h - 6 - 38. Let l(y) = 3*y - 25. Let b be l(10). Solve j = -b*f - h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4961*s**3 - 5768*s**2. Let f(j) = 2479*j**3 - 2885*j**2. Let x(u) = -2*b(u) + 5*f(u). What is the third derivative of x(t) wrt t?\nAnswer: 14838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - i + 317 - 301 + (-1 + 1 - i)*(2 - 2 + 1) - 5*i + 3*i + 0*i in the form f + w*i and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 - 8*h - 8. Determine d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14420 (base 5) to base 4\nAnswer: -103103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 + 240. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/2 + 871*c**2\/2 - 95192*c + 6170982 = 0.\nAnswer: 146, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + h = 4*h + 131, -5*h - 25 = 0. Suppose -o + 26 = b - l, -2*o = 4*b - 164. Suppose -o = -2*p - 6. Calculate the greatest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 2075?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 345\/(-230) - (-3)\/((-1)\/1) - -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-40))\/(-7)*-1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i - 46. Calculate o(-6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:26 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = o, -2*o - 1 = -s - 8. Let l(c) = 3*c + 8*c**2 - c**3 + 20 - 5*c**2 - 17. Calculate l(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4738*t**2. Let i(w) = 50426*w + 1. Calculate i(n(h)).\nAnswer: -238918388*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212222202212 - 122?\nAnswer: 1212222202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b2fd5 - 1?\nAnswer: -b2fd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 51 = 51. Which is the closest to x? (a) 0 (b) 0.3 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.556 (b) -4 (c) -0.158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2cb (base 16) to base 8\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:55 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1229 + 271*k - 72*k - 68*k - 73*k - 52*k to b*k + u and give u.\nAnswer: 1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -3 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/(-1260)*40\/(-312)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 3, s: 2, p: 1, x: 3}. What is prob of sequence eexi?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 13 + 0*x**2 + 366*x - 362*x. Let c = -698 - -704. Calculate d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21510bc + 16?\nAnswer: -21510a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10210213200 + 10?\nAnswer: -10210213130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 109, 146, 167, 166?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*a - g - 2455, 164*g - 162*g - 65 = -3*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35774885*j + 35774885*j + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 636 + -18443?\nAnswer: -17706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16683266?\nAnswer: 2, 233, 35801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 10:58 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + u - 15)*(121*u - 118*u - 2*u**3 - 3*u**3 - 2) to q*u**4 + n + f*u + s*u**3 + b*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-3*(2356\/(-620))\/(6\/(-5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 4?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/11337348 and 35\/96?\nAnswer: 90698784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/7, -0.3, 5, -2, 0.4, -1\/2398405?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -30514.08 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4271822 by -206.\nAnswer: -20737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 6*z**2 - 6*z - 4. Suppose -6*y + 30 = -3*y. Let m = 6 - 2. Let n = y - m. Let f(u) = 2*u**3 + 5*u**2 - 5*u - 3. Calculate n*f(a) - 5*b(a).\nAnswer: 2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 12. Suppose q*a - 6 = 6. Sort -1\/6, 0.1, a.\nAnswer: -1\/6, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125406655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1280123.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 8*p - 16. Let d(m) = -34*m + 6. Let y be d(-5). Calculate the highest common factor of p and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9115, -9109, -9099, -9085, -9067, -9045?\nAnswer: -9019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y - 4*m, -4*y = m - 26 + 8. Suppose n - 275 = -4*n. Suppose 53 + n = y*h. Calculate the remainder when h is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 22 = 5*f, -6 = -5*f + 4*q - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4))\/(f*(f*f**5\/f)\/f)*f**(1\/13)*f**(-12)\/f assuming f is positive.\nAnswer: f**(-272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 14*f**2 + 7*f - 13. Let v be g(7). Suppose v = t + 35. Which is smaller: t or 1\/45?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 609 + -606. Solve -k*o + 0*o - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19697047896.00001314 - 19697047308. Let x = g + -588. Round x to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 17 + 24\/(1 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(95)\/((sqrt(5) + sqrt(15)\/sqrt(3))*-4 + sqrt(5)) + (4 + sqrt(76) + 2 + sqrt(76))**2.\nAnswer: 335*sqrt(19)\/7 + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 + 2137894*p**4 + 6413664*p**3 - 19241014*p**2 + 10689455*p = 0. Calculate p.\nAnswer: -2137891, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -139 (b) -3\/7 (c) -204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.065.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j - 6. Let d(l) = 15*l - 8. Let s(h) = 7*d(h) - 6*y(h). Let a(t) = -1 + 2 + 2*t - 3*t + 0*t. Calculate 20*a(i) + s(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -44311 = -44060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2797*w**4 - 1702*w**2 - 11?\nAnswer: -67128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, -5, -605?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/11 and -149\/373266474?\nAnswer: 4105931214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*p = -5 + 38, -37 = 6*t + p for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yddddddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*x - 1\/2*x**3 + 0*x**2.\nAnswer: -x*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -933.1315 + 214.041.\nAnswer: -719.0905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14*p - 9*p = 78, 0 = -5*w - 5*p + 290. What is the remainder when 207 is divided by w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3279.7 + 3279.6. Suppose -5*m + w + 12 = 0, -w + 2 = -1. Let j be 1\/m + (-38)\/78. Which is the nearest to 1? (a) -0.13 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 + 2)*(5*c**2 - c**3 - 5*c**2 + (21*c**2 + 0*c**2 - 12*c**2)*(4*c - c - c)) in the form q*c + v + d*c**2 + i*c**3 and give i.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 46*h**2 + 691*h + 22. Calculate z(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49 or -539440?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-5))**(2\/31)*v*v**(-5)\/v*v**(-8\/3)\/v assuming v is positive.\nAnswer: v**(-830\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*f + 90061 - 90061.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -108785 greater than or equal to 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 60.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 5*j - 112. Calculate i(10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 12*g**2 - 46. Does 15 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*-4*-1)\/(sqrt(42)\/sqrt(63) + sqrt(162)\/sqrt(3)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*d + 35, 5*d - 7*d + 2*b = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 15. Let p be 60\/k - (-14)\/(-49). Suppose -p*d + 272 = 4*g, -5*g + 0*d - 4*d = -335. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - o = -108, 3*o - 64 = -3*a + 2*o. Suppose 23*g = a*g + 1354. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -12. Let m be (9\/(-1))\/(30\/(-20)). Let n be 1\/m + (-69)\/(-18). Calculate the highest common factor of n and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 37 = -25005*u + 25007*u + q, 65 = -4*u - 3*q for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.522 and 0.13581.\nAnswer: 0.07089282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 270\/(-72)*(1 - 14\/10). Let y = -0.01 + 2.01. What is the nearest to y in -2\/7, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(3\/8)*z\/((z\/z**(2\/17))\/z))**10 assuming z is positive.\nAnswer: z**(1185\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.988607ml in litres?\nAnswer: 0.000988607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*l - 25*l + 95*l)*(2 - 5 + 2) in the form y*l + z and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -389232, -389234, -389236?\n\"Answer: -2*i - 389230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = -6. Let j be (3 + 8\/h)*-7. What is the units digit of 80\/35 - 2\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(720) - (sqrt(5) + 2)*-3 - (-1 + -3*sqrt(5)*-4))**2 + 4 + -1).\nAnswer: -1177 - 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*u + 30 = 95*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -43880*d - 24353402. What is n(-555)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -5, 2, 0, -225 in decreasing order.\nAnswer: 57, 2, 0, -5, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*s - 1782 = 48138. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*i + 3*i - 5 + 16*i - 2 + 8*i to the form n + f*i and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)*y**(-2\/15))\/((y**(1\/2)*y)\/y)**5)**(16\/7) assuming y is positive.\nAnswer: y**(-5384\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-20)*(-7)\/(63\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/48*(-6)\/(-21)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v**4 + 16*v + 4. Let g(l) = -l**4 - 1. Let d(u) = -4*g(u) - s(u). What is the second derivative of d(j) wrt j?\nAnswer: -204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/5, -4646?\nAnswer: -4646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 3.5418\nAnswer: -10.6254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(119))\/(sqrt(7) - (-3*sqrt(14))\/sqrt(2)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 + 37*y**3 - 99*y**2 + 30331*y wrt y?\nAnswer: -24*y**2 + 222*y - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 9*a = 0, 1 = -j + 3*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k**2 - 5*k**3 - 13*k**2 + (0*k**2 + 3*k**2 - 6*k**2)*(2*k + 1 - 1).\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**3 + 19075*a**2 + 76240*a + 76220 = 0.\nAnswer: -3811, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 403584737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 0*c**2 + 0*c**2 + (3 - 3 + 2)*(0*c + 0*c + 2*c**3) + 2*c**3 - 1 + 1 + 25 + 15 - 41 - c**2 + 14*c**3.\nAnswer: 21*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*h - 1432, 1133 = -3*c - c - 5*h. Sort -5, -3, c in increasing order.\nAnswer: c, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 12*f**2 - 28*f + 7. Let x be i(3). Let y(o) be the first derivative of 0*o**2 + 0*o**3 + 2 + 1\/4*o**x - 3*o. Differentiate y(k) wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43675053 is divided by 14558350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5494723.\nAnswer: 13, 17, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 0 = -v, -2790*r + 25*v = -2789*r - 83 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + -4 + (sqrt(800) - (sqrt(800) + 1)) + -5 + (sqrt(800) - (sqrt(800) + -2))*3 + sqrt(800))**2.\nAnswer: -80*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42444544 divided by 8.\nAnswer: 5305568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 686707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 + b**5 + 3*b**5 + (-b**4 - b**4 - 3*b**4)*(-2*b + 4*b + 0*b) + 4*b**2 - 4*b**2 + b**5 + 2*b**3 + 79*b**2 - 3*b**3 - 76*b**2 - b**5.\nAnswer: -11*b**5 - b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**2 - 4*i**2 - i**2)*(57*i + 143 - 143) in the form o + p*i**3 + g*i + t*i**2 and give p.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1646055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45a (base 12) in base 6?\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 57. Suppose 4*h - 4*c - 10 - 14 = 0, 0 = 2*h - 4*c - 16. Let s be 16 - ((-10)\/(-2) - 2). Solve -h*x = s + i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 29 - 29.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Give z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 0*b**2 - 4*b**2 + 6*b + 3*b**2 + 1. What is u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13800 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -536 - -535.9. Which is the nearest to 1? (a) 3 (b) -5.9 (c) -0.4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/30)\/(753\/252 + -3). Find the third derivative of -80*j**3 - 8*j**3 - 99*j**2 + n*j**2 - 63*j**3 wrt j.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 0.3, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12410647 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -153\nAnswer: 76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-5))\/(11\/33) + 0. Which is the second biggest value? (a) -5 (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92153.28 to the nearest one thousand.\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/(1\/3). Let y(u) be the third derivative of u**5\/60 + u**3\/6 - 3*u**2. Calculate y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.46 < -789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f + 121. Give p(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/754 and 107\/2646.\nAnswer: 997542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 175073249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -93, -103, -119, -141, -169, -203?\n\"Answer: -3*n**2 - n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -40 + -4 + 17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d + 1. Let b be (-4)\/10 - (7 + 314\/(-10)). Suppose 11*x - 3*x = b. Let f(k) = k**3 + 9*k + 2. Give x*f(p) - 5*i(p).\nAnswer: -2*p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 145?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/2)\/1)\/((-3)\/38*8680\/19530)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86884008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-356)\/2314 - 38\/(-78)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3726621?\nAnswer: 3, 17, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and -699.39?\nAnswer: 21681.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*a + 23 - 23)*(7*a - 18*a - 9*a) in the form q*a + t*a**2 + j and give t.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x. Let v(t) = 0 + 4 - 13*t + 3 - t**2 - 1. Let w(r) = 2*r**2 + 28*r - 13. Let c(k) = 13*v(k) + 6*w(k). Give -c(h) - 3*u(h).\nAnswer: -2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -k - 8, 10 = d + 6. Let v(r) = 13*r. Let a be v(-1). Let j = a - k. What is the remainder when 10 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292 - 38 - 5*w - 256 + 5*w + 102*w**2.\nAnswer: 102*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/840*(-670)\/(-4) and (252\/(-48) - -5)*37\/(-27)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9172808.\nAnswer: 2, 271, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 1 + 8. Let y = 16 + -8. What is the remainder when y is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867442311.\nAnswer: 3, 43, 211, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33658068 and 56096780?\nAnswer: 168290340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-1 + -1 - -1). Let w(i) = i**3 + 9*i**2 - 27*i - 53. Let g be w(-11). Suppose -g*k = -85 + 65. Sort c, -5, k, -1.\nAnswer: -5, -1, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9569708*s**2. Let r(q) = -q**2. What is n(r(v))?\nAnswer: -9569708*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18*y**2 + 2*y - 12. Let q be a(6). Suppose 14*p = 18*p - q. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*o - o - 3*p, -o + 2*p = 6. Let z be 15\/6*12\/o. Let j be (-2)\/z - (-630010)\/(-15). Round j to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133))*-1 + sqrt(133))\/sqrt(7)*-5.\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 25 - 73. Let o = c + -20. Suppose 0 = o*h - 86 - 14. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 7*d**2 - 4*d. Let u(v) = v**3 - 4*v**2 - 4*v. Let t be u(5). Let o be j(t). What are the prime factors of (o\/(-5))\/(1*-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r, -3*z - 4*r = 2*z - 17. Suppose -4*d + 3*u + 24 = 0, -d - 4*u = -7*u + 3. Let v = d - 9. Put -5, z, v in ascending order.\nAnswer: -5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 21*d**3 - 3*d**2 + 124. Let q(b) = 13*b**3 - 2*b**2 + 62. Give 3*f(c) - 5*q(c).\nAnswer: -2*c**3 + c**2 + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 + 84*f**4 + 14056*f**3 - 443904*f**2 - 990720*f + 89137152 = 0.\nAnswer: -62, -13, 24, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82013707 by -4.\nAnswer: 82013707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 9*v**5\/20 - 15*v**2\/2 - 4*v. Differentiate u(n) wrt n.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-450))\/(6\/(-15)*1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 16*s**2 - 15*s + 3. Let h be j(-15). What is the third derivative of -7*o + 11*o**2 + 7*o + h*o**5 + 0*o wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 15. Let v(z) = -z**3 + 3*z**2 - z + 3. Let u be v(3). What is the tens digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9119, -9199, -9285, -9377, -9475, -9579?\nAnswer: -9689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 3\/(-4 + 1). Suppose -4*d + w*m + 18 = 0, 0*m = -3*d - 4*m + 1. What is the second smallest value in d, 0, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 - 53*h**4\/2 + 1031*h**3\/2 - 9103*h**2\/2 + 18540*h - 28350 = 0. Calculate h.\nAnswer: 5, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 132?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/3 + 1\/(-1). Suppose 69*j + 69*j - 129*j - 18 = 0. Solve u = -0*f + j*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*i + 84 = 0, -5*h + 12*i = 7*i - 100. Solve -3*j + 9*j = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 2 = -6*m - o + 1 - 2, 4*m - 3*m + 2*o = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 288568168 a multiple of 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44960364 to the power of 1\/2, to the nearest integer?\nAnswer: 6705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22071 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/((-127)\/125 - -1). Suppose -5*i - 105 + j = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.751 + 818.189. Let s = 871 - y. What is s rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 76.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -4, -114, -4\/21, 211, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 68*l**2 - 642*l + 1676. Give f(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 270096611 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**3 + 2*w**2 - 2*w - 2. List the prime factors of o(2).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsnsnooonnnlno. Give prob of picking 1 n, 1 o, and 1 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n. Let g(u) = -u - 1. Let r(i) = -f(i) - 4*g(i). Is r(4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*o**4 - 78*o**4 + 2*o**3 - 61*o**4 - 3*o + 3*o**4 - 63*o**4 to the form d*o**4 + a + u*o**2 + c*o + y*o**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -3 + 4)\/(-1). Suppose u = -4*t + 19 + 1. Is ((-108)\/(-20))\/(1\/t) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2663*g + 4546 - 4546.\nAnswer: 2663*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219*x - 1276*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (59\/12 + -5)\/(3\/(-9)). What is the closest to l in 3, -6\/41, -1?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:32 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (25\/(-30) - (-45)\/18 - 0)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1942.21692 minutes to weeks.\nAnswer: 0.19268025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-12\/7) assuming g is positive.\nAnswer: g**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5780835 + 5780842.997758. Let l = d + -6.4977449. Let z = l - 1.5. Round z to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 774 and 9297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 708 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -32*w**2 + 8*w + 3. Let t be q(-2). Let j = t - -300. List the prime factors of j.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*m**2)*(-3*m - m - 3*m) + 2*m**3 - 5*m**2 + 5*m**2 in the form j*m**2 + t + s*m + y*m**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94224399041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 10*s**2 + 12*s - 4*s**2 + s**3 + 10 + s**2. Let r be z(13). Let n(a) = a**3 + 2*a**2 - 5*a - 4. What is n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9466949538 - -2?\nAnswer: -9466949536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*v + 1. Is 9 a factor of -2 - (-10 - (v + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1290 divided by -430\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 7*s - 1. Let g(q) = 1. Let w(o) = -g(o) + l(o). Let n be w(8). Let j = -6 + n. Put -5, j, -3 in increasing order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (508664\/4599)\/134 - 1\/9.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*r**2 - 2 + 0 - r**3 in the form m*r + g*r**3 + d*r**2 + o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, y: 3}. Give prob of picking 3 h.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 411 = 103. Let m = -113 + j. What is the greatest common divisor of m and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -2*y. Let v(s) = 2*s**2 - 5*s + 2. Let t be v(y). Let i(g) = -1 - t*g**2 + 1. Let n(l) = -l. Determine i(n(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -71 - 79. Let o = y + 192. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 = 1. Sort -13, 0, n in increasing order.\nAnswer: -13, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98*-59.824\nAnswer: 5862.752","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1270 or -1267?\nAnswer: -1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**3 - 4*t**2 + 220*t - 30. What is j(0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-174)\/(-10) - (-2)\/(-5). Let l = s + -33\/2. Let w = -8 + 7.8. Which is the nearest to l? (a) -2 (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236088371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*t = -b - 11, 0 = -b - 5*t + 23. Suppose -b*u + 16 = u. List the prime factors of u\/(-14) - 1368\/(-84).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55, -198, -605, -1402, -2715, -4670, -7393, -11010?\n\"Answer: -21*r**3 - 6*r**2 + 22*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.43 times -0.05234?\nAnswer: -0.1271862","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45416170*j**4*u + j**2*u + 13*j**2 + 2*j*u - j - 387*u - 95 wrt j?\nAnswer: -1089988080*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 0.052.\nAnswer: 4.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 17*p + 17. What are the prime factors of b(9)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*b + 2*b - 31 = 0, -5*b - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1173520611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 133 = -4*h. Let j = 26 + h. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6983 - -7042. Which is the second smallest value? (a) 1\/13 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o - 16. Let a(l) = 3*l - 4. Let b(q) = -q**3 - 8*q**2 - 13*q - 3. Let p be b(-3). Give p*a(s) + 2*j(s).\nAnswer: -3*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976975343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068.194 rounded to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 1. Give x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 255 = -11*g. Let b(v) = -v**2 + 12*v + 47. Determine b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -2 + -60 + -15 + -6 + 16\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3311 = 3*w - 2*p, w - 657 = 3*p. Let r = w - 664. Is r not equal to 2\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2275 is divided by 56.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37141, 37143, 37155, 37183, 37233, 37311, 37423?\n\"Answer: z**3 - z**2 - 2*z + 37143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1413*f**2 + 4*f + 1712. Let q(a) = -3*a**2 + a - 8. Let j(w) = -c(w) + 4*q(w). Differentiate j(d) wrt d.\nAnswer: 2802*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r + 4. Let f be o(5). Let h = f + -3. What are the prime factors of 5 + -5 + 18\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -939 - -569. Let o = u - -370.4. Which is the closest to 1\/2? (a) o (b) 0.5 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 4:15 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-5) - 0\/3. What is m in 4*m**3 - m + 4*m**4 + 10*m**c + 5*m + 14*m**2 = 0?\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/7)\/s*s)\/s)\/(s\/(s\/(s*s**3\/s))))**(-13\/3)\/(s**1\/(s*s**0))**(-2\/53) assuming s is positive.\nAnswer: s**(338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*n*z**4 - 7*n*z**3 + n*z**2 - 3*n + z**4 wrt z.\nAnswer: 216*n*z - 42*n + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1152952 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 353. Let n be b(0). Suppose -5*y + n = 3*a + 12, -4*y + 264 = -2*a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.999 + -1.499. What is the second biggest value in 3, i, 72, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27409, 27403, 27387, 27355, 27301, 27219?\nAnswer: 27103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from ttyyyyttyqyyq?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = 23*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3 + w + 4. Let o(f) = -f**2 + 2831*f - 2831*f. Let s(b) = -k(b) - 2*o(b). What is s(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9666 - 54912545\/5681. Let k = 687411\/56810 - s. Find the common denominator of k and 63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5529 or 5519?\nAnswer: 5529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11)**(-3)\/(t**(-5))**18 assuming t is positive.\nAnswer: t**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20881 - 446?\nAnswer: 20439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)*o*o*o\/(o\/o**(-4\/9))*o)**(2\/29)*(o\/(o\/(o\/o**(2\/7))))**(2\/7)*o**(-3)\/(o*o\/o**1) assuming o is positive.\nAnswer: o**(-46145\/12789)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 11*v + 3 = 0. Let w be 2*v\/4*10. Factor -f**w - 3*f**5 + 2*f**3 - f + 3*f**5.\nAnswer: -f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 - (-7 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**7*d*d*d)*d**(-8))\/(d*d**(2\/21))**(-2\/173) assuming d is positive.\nAnswer: d**(-68981\/3633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 12\/13 (c) 553\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let i(f) = 142*f - 2. Give o(i(p)).\nAnswer: -142*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgwvcpgvvdvcgp. Give prob of sequence pc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 - h**2 - 2*h + 6. Let c be k(3). Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 20. Let y = m + 7. Solve -5*n = 3*c - y, -14 = -n - n + 4*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227 - 227.1344. What is s rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/27)\/(38\/228).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 84*j**2 + 312*j + 304.\nAnswer: 2*(j + 2)**2*(j + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143333 (base 5) to base 8.\nAnswer: 52326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from cmcymcmccmmmcmm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -6 (c) 0.2299 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 + 3*g**4 - 4*g**4)*(-3 + 2 + 3) - g**4 - 2*g**4 + 4*g**4 + 0*g**3 - 3*g**4 + 0*g**3.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/6, -119153, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5331734 (base 8) in base 4?\nAnswer: -11123033130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:25 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -523984 smaller than -1047969\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*o - 41*o + 2*o**2 - 44*o + 125*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -301001322 (base 5) in base 9?\nAnswer: -2210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1033530 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/3 + 152*w. Let l(n) = 42*n**2. Give i(l(o)).\nAnswer: -7056*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 12. Let c = l - -12. Let y = 9 + c. What is the nearest to y in -0.3, -5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12*h)**(-35) assuming h is positive.\nAnswer: h**(-455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**2 - b**2 - 12 - 1 - 9*b. Is i(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 2 + 346*z**4 + 6*z**2 - 13*z**3 - 149*z**4 - 198*z**4 to the form h*z + n*z**4 + f*z**3 + v*z**2 + m and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 3*c + 23, 24*l - 3*c = 20*l + 43 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18 + 26 + -8 + 0. Suppose -4*v - 27213 = -6*v + 5*z, 4*v + 5*z - 54501 = t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101324 (base 6) to base 7\nAnswer: 315454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 2. Let d(z) = z**3 + 2*z**2 - 2*z. Let k be d(-2). Suppose -12*p + k*p = 16. Determine i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, y: 5}. What is prob of picking 4 q?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3995, -4098, -4283, -4562, -4947?\nAnswer: -5450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 23 = -23 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*o - 25, -7 = -3*s - 5*o - 32. Let h = 0.0788 - -1.9022. Let t = 0.019 + h. Sort t, 1, s in decreasing order.\nAnswer: t, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72245.\nAnswer: 5, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607275416 + -11?\nAnswer: -1607275427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12*x*x**7*x*x*(x*((x*x**(1\/15)*x)\/x)\/x)\/x**(-2\/23) assuming x is positive.\nAnswer: x**(7988\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/12 + (-2)\/8. Let d = -2 + p. Suppose d = 3*c - 70 - 29. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = -t, r - 4*t = 14. Suppose 0 = -2*i - 2*i - 16, 32 = r*k - 4*i. Solve -5*q - k = -4*h, -5*q - 5 = -5*h - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by 51?\nAnswer: -29\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-3) - 32\/11) + 3. Factor -2\/11*a**2 - f*a - 18\/11.\nAnswer: -2*(a + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*o = -29*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12194*m - 12193*m + 24387*m + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 12*i**2 - 12*i**3 + 133*i**3 - 133 + 243.\nAnswer: 121*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + n + 86 = 25, 0 = -u - 3*n + 9. Let w = -2.22 - -1.22. Which is the nearest to u? (a) 0.1 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23212\/3? (a) 3\/5 (b) -4 (c) -6\/19 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**2 - 9*x**2 + 37*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/9 + (-4)\/18. Let o(x) = x**3 - 5*x**2 - 7*x + 6. Let h be o(6). Let f be h*d\/4*1. Solve -4*v + f*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.062 + 0.252. What is the smallest value in 0, -2\/17, t?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33766067 is divided by 192?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2949*f - 406910. Give d(138).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 2 = -6*f. Let v be (f\/(-4))\/(1\/2). Suppose 3*s - 8 - 22 = 0. Solve 3*u - s = -v*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:09 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.097 + -0.403. Which is the nearest to 0? (a) -5 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2 + 6*v - 3. Suppose 2*z - 70 - 24 = 0. What is the remainder when z is divided by n(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -1300 + 1210. Let a(z) = z**2 - 2*z - 5. Let l be a(5). What is the highest common divisor of g and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 21*c**2 - 37*c + 22. Let x be k(-19). Suppose 0 = -x*s - 9*h + 5*h + 263, -2*h + 89 = s. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 24*j - 54.\nAnswer: -2*(j + 3)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526893 is divided by 617.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1767 (c) -0.3 (d) -82\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 284, -2, 0.1?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -62*f**3 + 2*f**2 + 5*f + 1236. Let q(l) = -4*l**2 - 2*l - 1. Let w(s) = j(s) + 3*q(s). Find the second derivative of w(o) wrt o.\nAnswer: -372*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3327 or -1?\nAnswer: -2\/3327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 - 5*d**2 - d + 5. Let w(x) be the second derivative of 1\/12*x**4 + 0 - 1\/2*x**2 - 6*x + 0*x**3. What is -m(r) - 5*w(r)?\nAnswer: -5*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -z - 0*z + 1900, 3794 = 2*z + 4*y. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daad when four letters picked without replacement from {a: 3, o: 2, d: 3, v: 2, w: 3, c: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -26 (b) 1\/360 (c) 0 (d) -34.31 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 4 + 4. Let v(o) = -29*o + 13. Let h(j) = 14*j - 6. Let p(r) = 13*h(r) + 6*v(r). Calculate n(p(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 5*u + 1. Let z = -12 + -5. Let h = -14 - z. Give m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 3 (b) 253 (c) -0.5 (d) -0.2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05315 and -79?\nAnswer: -4.19885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -25. Let g = 19 - a. Let b = g + -6.00001. What is b rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4156 = 15*q - 19*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -256*y - 2979. Give n(-14).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (-3 - -3) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33486191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3144\/1048 - (-65)\/(-21)) + 1077\/63?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281118?\nAnswer: 2, 3, 46853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 20, 0 = 7*s - 11*s + 4*z + 2680. List the prime factors of s.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 13. What are the prime factors of -36*(2 + x)*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7461587166 to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -241*u**2 - 161*u + 50. Let k be b(29). Round k to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1105380 and 2430?\nAnswer: 9948420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 689 - (-10 - (5 + -8)). What is the greatest common factor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/5 - 77\/330)*2. Let z = -6 + 1. What is the nearest to d in 1\/3, z, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 72014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/2 - 9426*z**3 + 75430*z**2 - 188592*z + 150880 = 0. What is z?\nAnswer: -18860, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56 and -1506.\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/72 + (-200)\/9. Let r be 1\/((-26)\/4) - z\/143. Solve r*x - 3*x - 3*l + 9 = 0, 0 = 4*x - 4*l + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4540 or 4539?\nAnswer: 4540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i + 3. Calculate m(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/37665 and 157\/150660?\nAnswer: 150660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 - 26. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b**3 - 2*b**3 + b**3)*(-129*b - 59*b - 115*b + 50*b) in the form u*b**3 + a + n*b**2 + l*b**4 + v*b and give l.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 956, 3338, 8046, 15872, 27608?\nAnswer: 44046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -140, 7, 17, 5, -9.\nAnswer: -140, -9, 0, 5, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five quarters of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59630056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1380405 greater than or equal to -1380405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -1 - 36\/19. Let d = 0.1 + -0.6. Put b, d, -0.4 in descending order.\nAnswer: b, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14240456687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 682*m**6 + 49*m**2 + 10*m - 2?\nAnswer: 81840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 98, 243, 446, 707?\n\"Answer: 29*p**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2835 - -2835.12. Which is the fifth smallest value? (a) g (b) -1 (c) -2 (d) -5 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 - 49 - 77 - -11\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h + 3*c - 25, 4*h + 2*c + 3745 = 3755 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/2 - 67*g**3\/3 + 102*g - 101. Differentiate t(p) wrt p.\nAnswer: -6*p**2 - 134*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1699*m**2 - 51. Let b(h) = 566*h**2 + 18. Give -17*b(j) - 6*u(j).\nAnswer: 572*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeewzweewzzz?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 134884?\nAnswer: 944188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3358.166 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 73500?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 1. Suppose -24 = -0*u - 3*u. Suppose -u = -b - b. Let j be 1\/1*(2 - 1). Let r(o) = -o**2 + 5*o + 2. Determine b*d(n) + j*r(n).\nAnswer: -n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (52\/8 + 6)\/((-1)\/(-2)). Suppose -w + 4 = -3*r. Solve 20 = -r*g + 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(35)\/sqrt(5) + sqrt(63) + 4.\nAnswer: 9 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1290205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4890*6.\nAnswer: 29340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 7) to base 8.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 495338, 1981189, 4457556, 7924439, 12381838?\n\"Answer: 495258*x**2 + 77*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -22. Let z(l) = l**2 - 10*l. Calculate the remainder when o is divided by z(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 7*n + 6. Is 10 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89\/7 + -1063\/28. Is p greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 4 (c) -1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(448)*3)\/((sqrt(88)*2)\/sqrt(11)))\/(5*(sqrt(96)\/sqrt(2)*3)\/sqrt(6)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*h + 1. Let r(u) be the first derivative of 3*u - 1\/4*u**h + 0*u**2 + 4 + 0*u**3. What is the first derivative of r(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9160637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.9 + 1.9. Let y = z + 5. What is the nearest to 0.1 in -0.04, y, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7386961.\nAnswer: 7386961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-9)*(-5 + 2)\/(-9). Suppose -o*z**2 + 14\/9*z - 4\/9 = 0. Calculate z.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*q + 4*h, h - 16 = q - 4*h. Suppose 4*w - 8 = 2*w + q*j, 2*w + j = -17. Is 44\/w*3\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -40.99.\nAnswer: 20.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)\/(v*v\/(v**(-3)*v)))\/(v**0)**48*(v**(-6)\/v*v\/v**(3\/10))\/(v**(-4\/3)\/(v*v**(-3\/5)\/v*v)) assuming v is positive.\nAnswer: v**(-559\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410\/7585*-4*3\/24.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -133, -200, -267, -334?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 2*y**3 + 194 - 193 + 8*y**2 - y**4 - 4*y**3 as v*y**4 + h*y**2 + g*y + b*y**3 + n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 0*l + 0*l**5 + 0*l**4 - 1\/60*l**6 + 3*l**2 + 1\/6*l**3. What is the derivative of o(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 3*l**7\/70 - 11*l**5\/60 + 4*l**2. Find the third derivative of q(x) wrt x.\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1 (c) 23\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1016*v - 1469*v + 6004*v + 3 + 2*v - 3 + (-2 + 0 + 0)*(2*v + 2*v - 6*v) + 3*v - 3*v + 2*v - v + v - v in the form n*v + y and give n.\nAnswer: 5558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b - 53*b = 180. Is ((-8)\/(-28) - b\/14)*194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-21)\/(z**(1\/20)*z) assuming z is positive.\nAnswer: z**(-441\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59828335.\nAnswer: 5, 7, 163, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u**2 + 3*u + 4. Let r(s) = -s**3 + s**2 + 2*s + 3. Let t(n) = -4*l(n) + 5*r(n). Give t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 + 133 = 4*v. Is -1 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 34. Suppose -8*c + 39 = -u*c. Suppose -c*i = -12*i. Put 3, i, -4 in decreasing order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 4*o**3 - 2*o**3)*(4*o + 2*o - o).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9125 - 15735. Round j to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s - q - 160, 0 = 4*s - 2*q - 640. Suppose -4*j = -6*i + 3*i + 68, -5*j = 2*i - 30. What is the greatest common factor of i and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17b9 - 0?\nAnswer: -17b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -823\/12 - -206\/3. Let q be (-3 - -1)*(-2)\/4. Is u < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -1782, -2672?\nAnswer: -3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 27. Suppose 3*f - s = 163. Suppose 5*u - 2 = f. What is the greatest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - sqrt(198)*3)\/sqrt(11) - sqrt(18))\/(-2*(sqrt(9) - -1*sqrt(9))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -0.05. Let k = 13 + -16. What is the fourth smallest value in b, 0.1, k, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 457, 457, 455, 451, 445, 437?\n\"Answer: -l**2 + 3*l + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(1\/(-6)). Suppose -n + 22 = -5*g + 2*n, -g - 2*n - 7 = 0. Calculate the smallest common multiple of (-102)\/(-5) + f\/g and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1270083 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 531375 and 43875.\nAnswer: 4782375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3 - n**3 - 4*n + 1 + 7*n**2 - 3*n + 0. Suppose -28 = -0*t - 4*t - 2*k, 0 = 3*t + 2*k - 23. Is m(t) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -728, -2832, -6170, -10604, -15996, -22208, -29102?\n\"Answer: 23*r**3 - 755*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9117 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56879468 to the nearest integer?\nAnswer: 7542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*k + k = 4, 2*k - 8 = -3*g. Is (-805)\/(-63) - g\/(-9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - -5) + 100 + -43.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -12*a - 41 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u. Let m(k) be the second derivative of k**7\/2520 - k**6\/720 + 7*k**4\/4 + 14*k. Let i(t) be the third derivative of m(t). Determine i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t - 432 = 40 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11993355.\nAnswer: 3, 5, 11, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*n - n - 170, -6*n = 2*j - 1020. Calculate the greatest common factor of 442 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35583 - 35587. Let f(b) = -2*b + 3. Let x be f(5). Sort p, x, 1 in descending order.\nAnswer: 1, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12487157 - -23087157. What is t rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 9 = 8*t. Let m be (4 + (-7)\/t)*3. Find the third derivative of i**2 + 6*i**5 - 2*i**5 + 5*i**m wrt i.\nAnswer: 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/7)*l*l**(-2\/23)*l*l**(-1)\/(l\/(l\/(l*l*l**6*l))) assuming l is positive.\nAnswer: l**(-1256\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.144 + 1.144004754. Round o to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 40586116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90.1 + -90.09276. What is n rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 + 5*k + 9. Let d = -4046 - -4051. Determine f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + z + 807, 7*z = -4*d + 2*z + 1593. Suppose -5*m + 468 = -d. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 4. Let d(i) = -i**2 + i + 4. Determine 6*d(r) + 7*o(r).\nAnswer: -6*r**2 - r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601 (base 14) to base 8.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 1. Let f be o(-1). Suppose 5*l + 27 = -3*j, f*l + 4*j + 8 + 17 = 0. Let g be (-1)\/(l + 2)*(-5 + 10). Solve -4*m = m - g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -144a9 + -3?\nAnswer: -144ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 + 137. Suppose 8*n - 23 - 1713 = p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Suppose -b*s + 3*s - 17 = 0. What is the highest common divisor of s and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24313615.\nAnswer: 5, 41, 118603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - (14 - -1))*-3 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1979028009 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -495 + 507. Suppose 0*i + 18 = 3*i. Suppose -858 = -f*z + i*z. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 18. Let g = 27 + -38. Let u = -3 - g. Let d be l(u). Solve 0*i + 5*i = 3*w + 6, 5*w = d*i + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24189 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 36*h - 30. Let x(f) = -3*f**3 + 18*f**2 + f - 8. Let r be x(6). Let s be ((-3)\/(-2))\/((-3)\/20*r). Does 13 divide y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236.8 + -235.8. Which is the third biggest value? (a) -5 (b) s (c) 2\/11 (d) 2\/3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5907.2 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -55*c - 98. Suppose 4*m = -8, -s + 4*s + m = -23. Is h(s) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (2 - 19) + 21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -376785 and 1.3.\nAnswer: -376783.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**5 - 5*q**4 - 66*q**3 - 16*q**2 + 98*q - 28731 wrt q?\nAnswer: 80*q**3 - 60*q**2 - 396*q - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -3, -0.223, 1.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/25*(-55)\/(-187)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5912, -5882, -5814, -5690, -5492, -5202?\n\"Answer: 3*k**3 + k**2 + 6*k - 5922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1038820585 and -91\/10.\nAnswer: 2077641170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-24))\/((-2)\/(-5682)). Let f be 6\/(-12) - m\/(-2). Let h = f - 316. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - 0. Let t = 445413 + -445413.07999956. Let v = t + a. Round v to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c. Let k(l) = 1. Calculate -k(m) - y(m).\nAnswer: 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-131)\/262)\/(6\/(48\/(-76))).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52812 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: In base 14, what is 0 + -b1?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1728))**2 + -4.\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*(-18)\/(10\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1792*z - 117. Let d(k) = 1793*k + 85. Let x(p) = -4*d(p) - 6*l(p). What is the first derivative of x(t) wrt t?\nAnswer: 3580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let m = -47 + 67. Suppose j + 3*f = -6, 2*j + f = -m - 7. What are the prime factors of t(j)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 + 2. Let g be j(-2). Suppose 1020 = 5*h + 17*q - 23*q, 2*h - 5*q - 421 = 0. Calculate the highest common factor of g and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3433499*p - 42106 = 3432930*p for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -52\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 1\/25*w**5 + 2\/15*w**4 + 0 + 0*w**2 + 19*w - 8\/15*w**3 - 1\/75*w**6. Factor j(m).\nAnswer: -2*m*(m - 2)**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1556 bigger than -46385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6959*v - 2000*v + 6861*v to r*v + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131225 is divided by 131126?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 0 - 35 = 0. Which is the nearest to -2? (a) -1\/10 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/105*((-15)\/(-38) - 16\/(-152)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let d(x) be the third derivative of -5*x**4\/24 + 19*x**2. Give d(o(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/42 and -3\/161?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 702 and 1014.\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011111101001 + 10?\nAnswer: 1010011111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = o - 15, 2 = -3*x - 7. Suppose w = -2*p + 39, -o*p = -p + 2*w - 96. Let n = 10296 - 10288. Calculate the remainder when p is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - -16. Suppose j = s + 3*s. Suppose 3*d = -s - 1. Let y(o) = 2*o. What is y(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/43 (c) 5 (d) -3822 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 49470.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -809, -3512, -10843, -25118, -48653?\nAnswer: -83764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -8 - (2 + (3 - 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/35*15*((-1036)\/189 + 6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.453529 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4938036 + 172883673\/35. Let d = -1497 + n. What is the common denominator of -88\/105 and d?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2777 in 3\/8, 2\/3, -3\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/(-39) - (-1 + -8). Let h(o) = t*o + 0*o - 12 - 13*o + 5*o. Determine h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*z - 5, -4*q - 5 = -z - 1. Let o = -15 + 21. Let x be 4\/8*1*o. Solve z = -0*s + x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -42 + -35 - (10 - 18).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -20*p. Let a(b) = -869829*b**2. Give a(y(s)).\nAnswer: -347931600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z. Suppose z = d - 4*q + 24, 4*d + q + 1 = -10. Let s = -5 + 4. Which is the closest to s? (a) -1 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 38253.\nAnswer: -38251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let u(t) = -117*t**2 - 12*t. Suppose 25 = -7*l + 12*l. Let j(w) = 47*w**2 + 5*w. Let a(x) = l*u(x) + 12*j(x). Determine h(a(p)).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 2895.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 6*p**2 + 4*p - 2. Let l be 136\/10 + (-6)\/(-15). Suppose 4*w = -l - 2. Give r(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 311 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -29. Suppose 4*c - 70 = 2*v, -3*c - 4*v + s - 11 = 0. Let j be (-1 + 7)\/((-2)\/(-5)). What is the greatest common factor of c and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from kkwwk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Let k = -17 + 291\/17. Which is the second biggest value? (a) -4 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + -21323.\nAnswer: -21322.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 198812 * -0.6\nAnswer: -119287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1498194466 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241602.\nAnswer: 2, 3, 67, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4440796 = -3*y, -4*k + 0*k = -7*y - 3552646. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 717262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*l + 4*r + 11, 2*l = 2*r + 28. Suppose -x + 62 = l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - 2. Let w = m + 6. Put w, -0.3, 3 in decreasing order.\nAnswer: 3, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2 - 2*a + 2. Determine v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6946*u + 4*u**2 - 12992*u + 59536 + 7022*u.\nAnswer: 4*(u + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -11315?\nAnswer: -2\/2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:53 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187942953 to the nearest integer?\nAnswer: 34467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(243)*1)*1 + 3)**2*6.\nAnswer: -216*sqrt(3) + 1482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 + -6 + 2 - -182 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*n - 24612 - 38244 = 0 for n.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {q: 1, p: 1, a: 1, v: 1, s: 1, w: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n - 4*p - 4 = 0, -5*n - 3*p - 3 = 0. Which is bigger: n or -6\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90148 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041906 is divided by 148831?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/255*218832\/6016 and -37\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 228, 253?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 3. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -85. Let u(o) = -3*o. Let k be u(-2). Solve s = t + 3 - k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 + -16 + 35\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/7 - (36\/3)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6199, 8739, 11279, 13819, 16359?\nAnswer: 18899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*h = -155*h + 2106. Does 39 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3133 - -11259.\nAnswer: 8126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2084? (a) 2 (b) -0.19 (c) 1\/5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 62, -10\/13.\nAnswer: -172, -10\/13, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(44)\/sqrt(4))*6*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0 + 7\/3*t**3 + 0*t - 24*t**2 - 5\/24*t**4. Is 17 a factor of d(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 82*m**2 - 246*m. Let a(t) = -t**2 + t. Determine 246*a(q) + w(q).\nAnswer: -164*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32103 or -31909?\nAnswer: -31909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a. Let z(w) = -8*w**2 + 6*w + 2. Let n(m) = -23*m**2 + 18*m + 5. Let q(v) = 6*n(v) - 17*z(v). Let g(f) = q(f) + 4*t(f). Factor g(y).\nAnswer: 2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6075*x**3 - 1 + 6166*x**3 + 1.\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -3\/4, 27.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*r + 154 = 3*r, 3*a = 3*r + 138. Calculate the remainder when a is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -11ce?\nAnswer: 11cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfsjjjjjnncnsjnjfsf. What is prob of picking 2 n and 1 c?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19006143.\nAnswer: 3, 13, 311, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 165223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 45 + 17*q)*(-3 + 3 - 3*q) - q**2 - 1 + 1 + q**2 + 2*q**2 - q**2.\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 67 + 25. Let g = 27 - y. Suppose -g*m - 20 = -8*m. Calculate the highest common factor of 55 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-29)\/9)\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.152? (a) -1 (b) 2\/7 (c) 0.21 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 = 5*g, 3*l - 1 = 4*g + 1. Let c be (-39)\/(-18) - g\/6. Find the third derivative of 10*q**5 + 0*q**5 - 6*q**5 + 2*q**c wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**4 - 147777457*f*t - 631226508*t wrt f.\nAnswer: 4*f**3 - 147777457*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuquuuuqquqquuqqqq. Give prob of sequence uquq.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, f: 4, h: 3}. What is prob of picking 1 d and 2 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 18. Give x(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let l(m) = 10*m + 5. Suppose 48 = 2*w + 2*w. Suppose 0*i + 3*i - w = 0. Let k(z) = i*c(z) - l(z). Let a(v) = 4*v + 1. What is 7*a(q) + 5*k(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 5*f**2 + 6*f - 4. Let s be b(-6). Let y = 372.5 - 372. What is the nearest to y in 2\/11, -2, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/25*(-5)\/(-12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66773726*c**3 - 33386379*c**3 - 33387344*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2002332*b**2*z**3 - b*z**3 - b*z - 33*b + z**3 + 875*z wrt b?\nAnswer: -4004664*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644448821?\nAnswer: 19, 33918359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 3*a**2 - 6*a + 8. Let z be x(2). Let t = z + -17. Let f = -69 - -342\/5. Is f smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10591 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1604, -3017, -4290, -5435, -6464, -7389, -8222?\nAnswer: -8975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) -1\/9 (b) -1888 (c) -52 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let j = -4.1 + 1.1. Let f = j + 2.7. Which is the second biggest value? (a) f (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence air when three letters picked without replacement from rymmrmyaymaimma.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1324 = -l, 2*l + 4*t - 2154 - 506 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -86\/17, -2\/143?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 1*sqrt(300))*-6)\/(sqrt(24)\/sqrt(8)))\/((3*sqrt(500) - sqrt(500)) + sqrt(500) - (sqrt(405) + 3*sqrt(405))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 30. Is u at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 - 4*i**2 + 3*i**2)*(2*i + 0*i + 0*i) as l*i**3 + h*i**2 + m + k*i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 600*b - 38688. Let l(q) = -4*q. Calculate r(l(m)).\nAnswer: -2400*m - 38688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from jjddjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x**2 + 4*x + 5. Let b(i) = 12*i**2 + 5*i + 6. Let v(f) = -6*b(f) + 7*u(f). What is the tens digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 20.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 0, -3*c = -2*p + p + 14. Suppose 0 = -n - 2*n + 792. What is the lowest common multiple of p and n\/32 + (-2)\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/14)\/(2\/8). Suppose 0 = -d - m*g + 55 - 14, 0 = -g + 4. Suppose 0 = 5*p - 20, -d + 119 = 2*b + p. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - 1) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 + 5*d**2 + d. Let r(b) = -11*b**3 + 10*b**2 + b + 1. Let l(q) = 4*r(q) - 9*x(q). Let s be l(6). Does 4 divide s + -4 + 3 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q + 5. Let b(n) = 5*n + 5. Suppose -579*v + 581*v + 10 = 0. Give v*b(k) + 4*u(k).\nAnswer: -k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07619 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + (31 + -36 - -46)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**2*o**4 + 304*i**2*o**3 - 53*i**2*o**2 + 18*i*o**2 + o**4 wrt o?\nAnswer: -96*i**2*o + 1824*i**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24345940?\nAnswer: 2, 5, 1217297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 1. Let a(z) = 2*z + 3. What is -a(k) - 2*h(k)?\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-14 + 57) - (0 + 7).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4*p**2 - 352070*m**3*p + 558462*m**2*p - 4*m*p**2 wrt m?\nAnswer: 48*m*p**2 - 2112420*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 20 = 14*g. Suppose 0 = -g*p - 2*a + 185, -6*a = p - 5*a - 40. Calculate the highest common factor of 14 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:44 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4232)\/(-144))\/23 + (-6)\/(-27)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 15*y**2 - y - 6. Let o(l) = -l**3 - 4*l**2 + l - 6. Let z be o(-5). List the prime factors of h(z).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(10*x + 166 - 165 + 0*x) - 1 + x + 1 as a + z*x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 smaller than 3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 8*i = -9*i - 2, 5*i + 10 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*b - 6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -49 + 17. Let o be l\/(-14)*(-49)\/(-70). Factor -6\/5*u + o*u**2 + 4\/5.\nAnswer: 2*(u - 2)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 0*i + 3*i**2 + 0*i as c*i + z*i**2 + a and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048802497.\nAnswer: 17333, 60509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1189, 2381, 3573?\n\"Answer: 1192*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 2 (c) -9 (d) 424\/17 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3865 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 - 6*w - 20. Let z be d(-6). Suppose 90 - z = 38*y. Let a(l) = 4*l**3 - 2*l**2 + 4*l - 3. What is a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvuyh. Give prob of sequence uvy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599808 is divided by 298791.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + (18 - 12) + 2. Let m(g) be the first derivative of 10*g + h*g**2 - 2 - 4\/3*g**3. Find the first derivative of m(s) wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 735.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * 3.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.3 (b) -68 (c) -259 (d) 1\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) + 1)*-6 - sqrt(112) - sqrt(112))*-4 + 1 + -1 + 5)**2.\nAnswer: 6496*sqrt(7) + 88649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10199 or -10198?\nAnswer: -10198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.61 - 20.01. Let u = -27.3 - b. Let m = 8 + u. What is the closest to m in -1\/4, -0.2, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*w - 153*w - 23322 = -293*w. Find p such that 153\/2*p + 3\/2*p**2 - w = 0.\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3488*d**3 - 1 + 705*d**2 - 1074*d**3 - 705*d**2 as t*d + j*d**3 + r + k*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267 - 267 + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -271 + 366. What is the common denominator of (k\/(-20)*(-150)\/(-185))\/(-3) and -93\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - (3 + -5 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 6}. What is prob of sequence ffr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 726 and 179806.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.28, 0.115, 2\/205 in increasing order.\nAnswer: 2\/205, 2\/21, 0.115, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228423799 to the power of 1\/2, to the nearest integer?\nAnswer: 35049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 72 = -11*n. Solve -n = -y - 2*i, -2*i = 5*y + 2*i - 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 577*q**3 - 2 - 290*q**3 - 285*q**3 + 2*q**4 to l*q**2 + r*q**3 + j + b*q + z*q**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let a(i) = -94*i**2. Determine a(f(j)).\nAnswer: -376*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000344 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -2 - 1 - 9. Is 6 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(-2 + 4 + (sqrt(720) + 0 - (-1 + sqrt(5) + -1))))**2.\nAnswer: 3168*sqrt(5) + 22356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125095 + 4744 = -5709*q + 1302 + 9654 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43\/94 - -2\/47. Let k be 204\/(-180) + (-2)\/10. Which is the nearest to w? (a) -6 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -0.2 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -76. Calculate the remainder when 43 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5520 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 4:32 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*j + 0 + 2 + 9 + 27*j wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7554 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**3 + 34 + 40 - 74 + 9*r in the form x + k*r**2 + d*r**3 + y*r and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24939, -49882, -74825?\nAnswer: -99768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 - 146. Suppose 2*u - o - 165 = -6*o, 3*u - 5*o - 285 = b. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*j**2 - 528*j**2 + 351*j**2 + 352*j**2 + 347*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.896 and 7.5?\nAnswer: -21.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqqqhhq. What is prob of picking 3 q and 1 h?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6926889 rounded to four decimal places?\nAnswer: -0.6927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1455\/14884?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 326724 divided by -2?\nAnswer: -163362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1764)\/504 + (-13)\/2. Which is the closest to -2\/5? (a) 0.082 (b) l (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -21. Let z = -21 - j. Let i = 27 + z. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**2 - i + 3. Let n(q) = -4*q + 2 + 0*q**2 + 3*q - 3*q**2. Let w(l) = -2*f(l) + 5*n(l). Let u be w(-4). Let a(o) = -o + 3. Give a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 904415.1 millennia?\nAnswer: 904415100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/2 - 63*c**2\/2 - 2*c + 353. Let o(j) = 2*j. Determine d(o(l)).\nAnswer: -6*l - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -943252.6 less than 12886125?\nAnswer: 13829377.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6177784 is divided by 475203?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w + 53. Let u = -42 - w. Find the second derivative of 28*o - 307*o**3 + u*o**4 - 6*o**4 + 307*o**3 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*10\/(-6)*-1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16*7*(-16)\/1792*(-270)\/(-6)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536100 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + 420?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*o - 33 + o**2 + 1270*o.\nAnswer: o**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 24*q**2 + 24*q - 21. Let h be l(23). Solve -4*r + h*r + 10 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 6, f: 7, e: 4}. Give prob of sequence qe.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3140 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 14*r - 43. Does 14 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13669 at most -150358\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.95 - -0.05. Let x = 58 - s. Let l = x - 49.00021. Round l to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2697 at least -2699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355315167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8 - 0.8. Let t = h - 4.05. Let g = -2.05 - t. Sort 3, 5\/2, g in descending order.\nAnswer: 3, 5\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 969?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + -4.3. Suppose 0*m + 3*m - 6 = 0. Suppose m*a + 3*z = -6 + 1, -z = -1. What is the smallest value in a, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15))\/(3\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v + 63*v = 175. Let t be 1 + 61*(-4)\/(-1). What is the highest common divisor of v and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -7971.52511 and -0.03.\nAnswer: -7971.55511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2. Suppose 4*g - 456 = -4*g. Let f(s) = -g*s - 56*s + 396*s. Calculate l(f(k)).\nAnswer: -80089*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1058)\/(-56603) + 5241\/107.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 611, 929, 1247?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -397 (b) -3 (c) 3\/1423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5 + 14*h + 1 - 20*h**2 - 3. Let x(p) = 13*p**2 - 5*p - 24 + 15 - 4*p + 7. Let c(r) = 5*u(r) + 8*x(r). Calculate c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 11 = -10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*m**5 - 6*m**2 - 10*m**5 - 6*m**5 wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*y - 338*y = -12. Let v be ((-1)\/y - 0)*(-75 + -24). Let u be (-368)\/(-88) + (-1)\/(v\/6). Solve -3*h - 2*h = 5*d, -3*d + u*h = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2831\/9 - 310. Let f = 4399 + -8152. Let m = f + 14923\/4. What is the common denominator of m and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:56 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*v + 23. Let h be (12\/3)\/(14 + 0). Which is the second biggest value? (a) v (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2444 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 850\/(-255)*3954\/(-4). Let g = -2264 + o. What is g rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*j - 4 - 42*j + 18*j + 3 - 4*j**3 - 5*j**4 in the form i*j**2 + l*j + d*j**4 + y*j**3 + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49134240 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22438416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 73*x**2 + 193*x + 1333. Is y(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50)\/5 - (0 - 3\/(-5)). Suppose 5*m - 2*i = -62, 136*m = 137*m + 5*i + 7. Is w > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -14) + (-17 - (-59 - -59))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {c: 4, y: 4, p: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 12631350*n**2 + 7977550141125*n.\nAnswer: 5*n*(n - 1263135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65 and 29.982.\nAnswer: -1948.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 - 13*b - 8. Let j be x(-3). Suppose -27*r = -2*p - 32*r + 13643, -13616 = -2*p + j*r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12906, -25808, -38710, -51612, -64514, -77416?\nAnswer: -90318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k*k*k*k**(-7)\/k)\/k*k*(k\/k**0)\/k*k**(3\/7)\/k*k**(-8)*k assuming k is positive.\nAnswer: k**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.19056234.\nAnswer: -0.152449872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - 100 - (-8746 + 8786)\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 123*u - 3. Let b(k) = 1. Calculate 6*b(g) + y(g).\nAnswer: g**2 - 123*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 + -128 - ((-97)\/7 + (-8)\/56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 smaller than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 27. What is the remainder when 31 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**7\/14 - p**4\/4 + 2*p. Find the third derivative of l(m) wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-310050)\/(-81) + -9 + (-12)\/(-54).\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 = 3. Let u(w) = -w**3 + 4*w**2 + 6*w - 5. Let c be u(5). Sort 2, i, c.\nAnswer: i, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/14 - (-16)\/(-56). Let o = 3194 + -3191. Which is the nearest to 0? (a) o (b) 1.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -213426, -213348, -213254, -213138, -212994?\n\"Answer: w**3 + 2*w**2 + 65*w - 213494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*t + 3. Let j be 2\/(-3)*(-6)\/(-8). Which is the third biggest value? (a) j (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -261, -1036, -2335, -4164, -6529, -9436?\n\"Answer: -o**3 - 256*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 5:51 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (993 - 37 + 46)*(c**2 + 0 + 0)*(-5 + 5 - c**2) to the form k*c**3 + i*c**2 + r + x*c + v*c**4 and give v.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 379, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295198 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22454201 + 25?\nAnswer: 22454230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/3))**(2\/15)\/(q\/(q\/(q*q**3*q))*q*q**3*q)*(q**(-2\/7)*q*q**(2\/11))\/(q**6\/q**6) assuming q is positive.\nAnswer: q**(-31237\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 10196*z + 6543382. Let h(q) = -3*q**2 - 7646*q - 4907537. Let c(i) = -18*h(i) - 14*x(i). Suppose c(p) = 0. Calculate p.\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (658\/(-987))\/((-2)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/7*g - 2\/7*g**2 - 40\/7 = 0. Calculate g.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5971 divided by 1\nAnswer: -5971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + ((-6*(2 + sqrt(343)) + (sqrt(343) - (-2 + sqrt(343) + sqrt(343) + 2 + sqrt(343))))*5)**2*2) + -5.\nAnswer: 67200*sqrt(7) + 1104794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6\/11)\/(p\/(p*((p\/(p\/(p**0\/p*p*p)))\/p*p)\/p))*(p**1)**38 assuming p is positive.\nAnswer: p**(412\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655 = -2354*b + 2049*b - 565. Let g(u) = -u + 4. Let t be g(0). Sort t, b, -10.\nAnswer: -10, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 8:15 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136240038 is divided by 604?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a + 59*a + 93 = -44*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-3603008)\/3 - 29\/(-87). Round p to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1156, -2310, -3488, -4690, -5916, -7166?\n\"Answer: -12*l**2 - 1118*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-366)\/30 - 22\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (sqrt(288) - sqrt(288)*-2)**2)*1 + 0 + -1 + sqrt(288) + -3*sqrt(288)*6.\nAnswer: -204*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:04 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1886509*a**5 + 806021*a**2?\nAnswer: 113190540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23225236 at least as big as 23225236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.259 - -21.429. Let d = -1.4 - -1.45. Do d and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 2*w - 7. Determine i(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzxnqnnnx. What is prob of sequence xn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6415 (base 9) in base 4?\nAnswer: -1021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 4*n + 2. Let l(s) = s. Let p be l(0). Suppose -u - 6 + 10 = p. Give t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 306607.4 millilitres?\nAnswer: 306.6074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/((-36)\/(-16)))\/(0 + 2). Let g(d) = 5*d**2 - 2*d + 3. Let y(a) = 1. Let f be 8\/20 + (-15)\/(-25). Let p(t) = f*g(t) - 5*y(t). What is p(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 163*k. Let m(b) = 1063*b**2 - 1066*b**2 - 1 + 1. Calculate v(m(w)).\nAnswer: -489*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(22)\/(sqrt(4)\/(sqrt(2) + sqrt(6)\/sqrt(3)) - sqrt(2)) - (-1*sqrt(121)*-1 + sqrt(121))\/((sqrt(33)*1 + sqrt(33))\/sqrt(3)))*-5.\nAnswer: 10 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1223490796, 1223490794, 1223490792, 1223490790, 1223490788, 1223490786?\nAnswer: 1223490784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 3110580*t**2 + 31105950*t + 77765000 = 0. Calculate t.\nAnswer: -5, 1555300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 11.92. Let y = p + -0.08. Let l = 2 + y. Does 0.08 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 + 5*v**3 - 2*v**4 + v - 2*v**3 + v to the form q + u*v**2 + g*v + j*v**3 + f*v**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = 3. Suppose -4*z = b - 5*z + 11, -4*z + 20 = 0. Let p be 66 + b + (-2 - u). What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let f(d) = 136969*d. Give x(f(u)).\nAnswer: -273938*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 4*t + 11709*t**2 - 11712*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.06 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35346*k*v**2 - 7562249*k + 331*v**3 wrt v.\nAnswer: 70692*k*v + 993*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Let r = 0 - g. Let f be (-3 - 1 - -3)\/1. Which is the closest to r? (a) -3 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130388 - -6?\nAnswer: -130382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2079*x + 4546781. Calculate s(2187).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Solve -q*p + 5 = -0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1618417?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*k - 2*c - 10, 5*c + 6 = -4*k. Let i be k\/(5\/((-5)\/2)). Let d be 1\/i - 318\/(-4). What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8055 is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*g + 4036 = 11509 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -58*d + 1. Let s be k(-3). Let f(o) = 4*o + 17. Let y be f(-4). List the prime factors of s\/6 - (10\/(-12) + y).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 1 - 1 + 0 + 3 + (-1 - 2 + 5)*(-2 + 1 + 0))*(1 - 2 + 71*j + 1).\nAnswer: 639*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -5324.2\nAnswer: 10648.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/20*1 + (-10)\/4 + (-34427)\/1730\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7788*w - 372?\nAnswer: -7788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49962, -50766, -52110, -53994, -56418, -59382?\n\"Answer: -270*d**2 + 6*d - 49698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.31, -0.2, 52\/3, -9\/161?\nAnswer: -9\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3324511 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2209600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*j + 2284*j + 560*j = 562*j + 214767 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 b, and 1 m when three letters picked without replacement from zbozozboobzhbobjmoo?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88823.385 nanoseconds in days?\nAnswer: 0.0000000010280484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 5*q**2 + 5*q - 1. Suppose -5*k - 14 = z, -2*k + 16 = 2*z - 3*k. What is v(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 9*v**2 + 21*v + 55. Calculate the remainder when f(-15) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -37*n**2 + 59 - 9*n + 38*n**2 - n. Is z(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100977602564 take away 98?\nAnswer: -1100977602662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.3039 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/10)\/((5\/70)\/(-1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 + 113. Suppose -3*x + 8*x = -5*y + 250, b = 5*y + 2*x. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3448554*a**3 - 8582073 wrt a.\nAnswer: -10345662*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 2 - q**2 + 466*q**3 - 36*q**3 + 157*q**3 - 4*q.\nAnswer: 587*q**3 - q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 8, e: 2, q: 3, m: 1, n: 1}. Give prob of sequence xms.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 5*t**2 + 6*t - 4. Let h be g(6). Let p = h - 0. Calculate the common denominator of ((-3)\/p)\/((-2)\/(-100)) and -1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (46 - (-38 - -63)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 2*f**2 + 2 - 1 + 1 + (-74*f - 115*f - 6*f)*(5 - 5 + f).\nAnswer: -197*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -4. Which is greater: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5778 times 124271?\nAnswer: -718037838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4 and -73\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 1, o: 1, e: 1, k: 2, y: 1}. What is prob of picking 1 o and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*r + 1972, -2*u + 7*u - 4930 = -r. Let c be (2 + -7)*686\/5. Let p = u + c. Round p to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:56 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10066841*b**2 - 3897129*b wrt b.\nAnswer: 20133682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37433 and 81147.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*o - 32, 5*x + 21 = 5*o + 81 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 583159.2*0.3\nAnswer: 174947.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 163 (b) 2\/159 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 42*d + 5. Suppose 3*u = -7 + 13. What are the prime factors of l(u)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 847.6754ng?\nAnswer: 0.0000000000008476754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.65 + -15.45. Let i = 21 + p. Let d = i - 1.24. Round d to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvzmevmmszvsslvzv. Give prob of picking 1 e and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 5826\/(-9))*-5. Let v = 3274 - a. Let g = v + -32. Are g and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5 + 11 - 10 - 8*n. Let c(u) = -4*u - 2. Let b(z) = 5*c(z) - 3*x(z). Calculate b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 5*a - 2. Let k be w(-6). Suppose -k*q - 18 = -p - 45, -13 = -q - p. Suppose -s + q = -0. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l + 7. Give w(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 3*t**7\/14 - 3*t**5\/20 + 19*t**4\/4 - 32*t. Find the third derivative of c(k) wrt k.\nAnswer: 540*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*m**4 - 278618*m**2 - 28*m - 762807043 wrt m?\nAnswer: 44*m**3 - 557236*m - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 60*n - 61*n - 86, -5*n + 54 = d. What is the greatest common divisor of 6006 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 12:33 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 + 19*k**3\/3 + 28*k**2\/3 - 4*k\/3 - 16\/3 = 0. What is k?\nAnswer: -4, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82900363 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 31 - 47 - 40 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 9) to base 12.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 2*c + 8, 5*w = 4*c + 16. Let f(p) = p**2 + 7*p - 4. Let s be f(-8). Suppose 3*n + 3*i - 756 = -w*i, 4*n - s*i = 1048. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1393815.\nAnswer: -1393815, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Suppose 5*y - 6 = 4. Let t(g) = g**y + 18*g - 4 + 20*g - 34*g. Determine t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4144 (base 7) to base 11\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 5. Let u(w) = w**2 - 2*w - 3. Let m be u(s). Suppose 5*x - 50 = m*h, 13 = 2*x + 4*h - 7. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/7 - 5700*q - 39901\/7 = 0?\nAnswer: -1, 39901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 2*i - 7*u + 3*u, 5*i = -5*u - 375. Let w be (2 - (0 - -1)) + i. List the prime factors of ((-2)\/(-4))\/((-2)\/w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + sqrt(13) + -1 - (-1 + sqrt(39)\/sqrt(3)) - (1 + 6*(sqrt(13) - sqrt(52))))**2.\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4041540, 4041544, 4041552, 4041564, 4041580?\nAnswer: 4041600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172*57\/(-1596)*7?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -695 by 139.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 438 and 1981731.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295*g*l**3 + 79*g*l**2 - 16*g - 2*l**3 - 16*l - 165 wrt l.\nAnswer: 1770*g*l + 158*g - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735671 is divided by 2477.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204*t + 466*t + 220*t)*(-5 + 5 + 3)*(-5*t**4 + 4*t**4 + 3*t**4).\nAnswer: 2892*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6)*-116)\/(26 - (26 + 2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/40 and 5\/344.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/28 and 97\/88232.\nAnswer: 617624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-15)\/(-6))\/5. Let a(d) = -2*d - 1. Let z be a(r). Let m be 1\/z + 390001\/3. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1733, 6815, 15335, 27335, 42857?\n\"Answer: 7*u**3 + 1677*u**2 + 2*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**3 - 1. Let q be j(-1). Suppose q*o - 9 = -0*o. Which is the third biggest value? (a) 1 (b) -7\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 3944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1913714 (b) -0.7 (c) 1\/5 (d) 5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 43*j - 1. Give b(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185784.\nAnswer: 2, 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74862 and 5940?\nAnswer: 24704460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 6\/41?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 3070, 58, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1124 divided by -4.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**2 + 18*h*t**3 - 31*h*t**2 - 74*h + 388403*t**3 - 2*t**2 + 2*t wrt h?\nAnswer: -6*h + 18*t**3 - 31*t**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 63707.44392 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 1024135 - 1024429 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -26*g - 604. Give r(-14).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2\/13*j**2 - 12\/13 - 2\/13*j = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*q - 121*q + 37 - 123*q in the form r + n*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:47 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16883107*c**3 - 21412711*c**2?\nAnswer: 101298642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 447*l + 449*l + 1.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**3 - d**2 - d - 1. Let z be k(-1). Let a(o) = -o**2 - 3*o + 2. Let q be a(-3). Suppose -39 = -z*s + q*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -2*s**2 + 1\/3*s**4 + 4\/3*s**3 + 0*s + 1\/30*s**5 + 0. Find v, given that t(v) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p**3 - p**2 - p - 2. Let f be z(2). Let s be f\/(-6) - (-2)\/(-3). What is the units digit of (-4)\/s + (-122)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1844, 3695, 5546, 7397, 9248, 11099?\n\"Answer: 1851*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 24648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 136. Let w be h + 1 - (-2 + 0). Let i be (-14)\/w*(1 - 0). What is the second smallest value in i, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1008) + (2*sqrt(1008))**2*1 + -3.\nAnswer: 12*sqrt(7) + 4024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -38, -44, -64, -104, -170, -268, -404?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1111 - -1 - (-24 + 29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -67421*v - 2. Let y(c) = -12*c**2. Calculate t(y(g)).\nAnswer: 809052*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/9 (b) 0.089 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640429 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 6*t**2 - t - 7. Let i be v(-6). Suppose 0 = 101*z - 117*z - 160. What is the remainder when ((z\/(-15))\/2)\/(i\/(-114)) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 48 = -2*j + 9, -3 = r + 5*j. Suppose 0 = -3*h + r - 22. Let y be (-1)\/3*(-1)\/(-2). Which is the biggest value? (a) 4 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15023\/24 - -626. Sort 0, 1\/4, h, 2 in ascending order.\nAnswer: 0, h, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 12*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c\/c**0)\/c))**48*((c\/c**(-1\/4))\/c)\/c**(-4)*(c\/(c\/c**0*c*c*c))**(-2)\/(c*c**(2\/7)*c*c)**(1\/32) assuming c is positive.\nAnswer: c**(23777\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847007 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.1 (c) 15 (d) -26 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1950)\/(-330)*2\/(-18)*1. Let y = 1\/99 - j. Factor -y*u**2 + 0 + 0*u.\nAnswer: -2*u**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2275925, 4551852, 6827779, 9103706, 11379633?\n\"Answer: 2275927*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 12. Suppose -4*t + 3 + m = 0. Suppose 0*u = t*u - 6. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 2*r - 5. Let a be b(-2). Suppose -3*x = -c + 8, 3*c - a = 3*x - 1. Let h be (-1 + (0 - -4 - 0))*x. Which is bigger: h or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v - 15. Let q be t(-3). What is n in 4*n**2 - 10*n**4 - n**5 - n**q - 2 + 8*n**4 - n + 3*n**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 109 - 184 = 0. Let p be 20\/(-12)*630\/v. Suppose 0 = -0*x - 2*x + 126. Calculate the greatest common factor of x and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845995, 845969, 845935, 845887, 845819, 845725, 845599, 845435?\nAnswer: 845227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3161362.6 to the nearest one thousand.\nAnswer: 3161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021 a factor of 113032868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -53. Solve 2 - g = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36066, -36064, -36062?\n\"Answer: 2*v - 36068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)*s**(-4\/3))\/(s**0\/((s*s**(1\/3))\/s)))**(-3\/8) assuming s is positive.\nAnswer: s**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1694\/363 + 2*10\/(-4). Let a be ((-3)\/5)\/((-1)\/5). Suppose a*b - 6 = -18. What is the closest to -1 in h, b, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14419 - 54.\nAnswer: -53.85581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 + 13)*(-2*l**2 - 2*l**2 + 2*l**2)*((-3 - 2 - 11)*(3*l + 2*l + l) - 6*l + 3*l + 2*l).\nAnswer: 3298*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 1241*b**2\/3 + 414*b + 1\/3 = 0.\nAnswer: -1, -1\/1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35419299?\nAnswer: 3, 359, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*d + 3157 = 925*d - 791 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:49 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 + 7*p + 9. Let f be w(-6). Let j be 0*(-1)\/(-2)*1. Suppose -2*v + j*v + 4 = 0. Solve v*y + 2*c = -8, 0 = -f*c + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 6492*s**4 + 3228924*s**3 - 306474336*s**2 + 6685785792*s.\nAnswer: 3*s*(s - 42)**2*(s + 1124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:26 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.57567 rounded to 2 decimal places?\nAnswer: 22.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497900 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(9\/(-51)) + -2. Let i be 10\/v + (-11308)\/114. Let a = i + 42989\/418. Calculate the common denominator of 3\/4 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 4*v + 554947 - 554969, -5*g - 5*v = -20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-131222)\/2019)\/13 + 7 + -2. Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - w**2 + 8 - 530*w**3 - 32 + 12 + 13. Suppose -2 = -4*a - 3*v, 2*a + 8 = -2*a + 2*v. Is z(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307479900.\nAnswer: 2, 3, 5, 7, 13, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.808 - 37.382. Let s = c - -51. Let j = -1.8099798 + s. What is j rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o - 116. Suppose 0 = 4*u - 5*b - 108, 4*u - 20*b - 108 = -17*b. Calculate the remainder when 217 is divided by c(u).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -5) + 36 - -17\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1867 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 2937.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 2, i: 2}. Give prob of sequence iivc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 - f**3\/2 + 10*f**2 + 23*f + 1. Let h be c(3). Solve 1 = -g + h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/3 - 118*h**3 + 2723*h**2 - 38854*h\/3 - 15792 = 0. What is h?\nAnswer: -376, -1, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -700*t + 119*t**4 - 3901*t - 12*t**3 - 12*t**4 - 5134*t - 57*t**4 wrt t?\nAnswer: 600*t**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 149 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23000824 and 12?\nAnswer: 69002472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 5:40 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7 - -2.3. Which is the third biggest value? (a) x (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/(-4) - (-1)\/2. Let s be 17*((0 - 2) + -1). Let x = f - s. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8478844 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*k**2*s - 806*k**2 - 2*k*s - 288335*s wrt k?\nAnswer: 28*k*s - 1612*k - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(200) + -2 - 3*(-1 + sqrt(200) - sqrt(200))**2 - ((-2*sqrt(1782))\/(1*sqrt(176) - sqrt(176) - sqrt(176) - sqrt(176)))**2.\nAnswer: -113\/8 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 equal to -73490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 0, -5*f = 3*p - f - 1697. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316877 to the power of 1\/2, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 12) to base 15.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmscllxllxcslx. What is prob of sequence lsc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6)*12\/18*-15. Let d(z) be the third derivative of 7\/24*z**4 - 2\/15*z**i + 0 + 1\/2*z**3 + z**2 + 0*z + 1\/120*z**6. What is d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = -w + 23, -5*w = -f - 220. What is the remainder when w is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 814\/(-1620) + (-2)\/(-4). Let l = r - 403\/810. Let d be (-8)\/(-12) - 10\/12. Which is the closest to l? (a) d (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 46 - 29*f**2 - 16 - 25*f - 25*f**2 + 59*f**2 = 0. What is f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75744 is divided by 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c - 3*p = -85, 90 = 5*c + 2*p. Solve -c = 5*h + 2*n, -6*n + n = 3*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12085\/63674 + -81041229\/710920210. Let z = -4\/1885 - f. Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-8)\/(-2)*28\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -45\/292, 2\/15, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/5 (b) -237 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-5)\/(-1) - -1. Let x(q) = q**2 - 1. Let m(l) = -83 + 6 + l + 5 + 6 + 62 + 4*l**2. Give s*x(d) + 2*m(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -19*q + 2. Let n be 4\/((-9)\/(27\/6)). Does 5 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*v + 36*s - 38*s, -5 = v + 2*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 17*a - 10. Let u be y(-24). Let p = u - -470. What is the remainder when 150 is divided by p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9414, 9987, 10560, 11133, 11706?\nAnswer: 12279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 16 - 4)*(-152*x + 77*x - 5 + 74*x).\nAnswer: -15*x - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 + 85*s - 9. Let m(t) = -2*t**2 + 43*t - 4. Suppose -137 - 259 = -60*f + 104*f. What is f*m(o) + 4*l(o)?\nAnswer: -2*o**2 - 47*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:29 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -211 + 90 + 106 - 16*o + o**2. Let y be 68\/(-8)*(-3 + 1). Let v be c(y). Is -8 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - (21 + -10)) - ((18 - -10) + -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*b + 2*o, 0*o + 6 = -3*o. Suppose -4*a - 50 - 10 = 0. Let k = -17 - a. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/8)*(f\/((f*f*f\/(f*f**(2\/31))*f)\/f))\/f*f*((f**(-1\/2)*f)\/f)**(1\/42) assuming f is positive.\nAnswer: f**(-2981\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*h + 46*h - 91*h = -241*h - 5466 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 344523.\nAnswer: 8\/344523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 5, 12\/31, -7, 8?\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 204880*b - 2098790720.\nAnswer: -5*(b + 20488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8 + 0)*2)\/(12\/(-3)). Let c(p) = 2*p**2 + 7*p + 5. Let z be c(-6). Is 1*(z + m + -2) + 1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 5, d: 2}. What is prob of picking 2 h and 1 g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 40 = -5*a + 3, 0 = -2*a + 4*v + 10. Let q(z) = z. Let b be q(4). Suppose -b*x + a = -33. Calculate the greatest common divisor of x and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (374 + -386)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 9*r + 2 + 0*r + 1 as h + d*r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9538 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244.1, -1\/2, -4\/13.\nAnswer: -1\/2, -4\/13, 244.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2072 and 18278.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12104766 divided by -3.\nAnswer: 4034922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/6 + 93*n**2\/2 - 180*n. Let w(j) be the first derivative of o(j). Let p(k) = 13*k + 2. What is w(p(g))?\nAnswer: -52*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59152 + 99383. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 30170954029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -148 and 2.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012836668 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**3 + 3*h**2 - 7. Let f(x) = -13*x**3 + 6*x**2 - 13. Give 6*f(p) - 11*j(p).\nAnswer: -p**3 + 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Let b be (-2)\/54*261\/(-58). Let j be 12\/10 - (-7 - (-72)\/10). Sort w, b, j.\nAnswer: w, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 186, 698, 1696, 3342, 5798, 9226, 13788?\nAnswer: 19646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-8)\/(-84)*3\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6 - 22. Let a = -27 + 28. Suppose -a = 4*o - 41. What is the lowest common multiple of o and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70196, -140662, -211128, -281594?\n\"Answer: -70466*n + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2493 - 44941\/18. Let y = 119205\/175588 - 2\/6271. Find the common denominator of y and q.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170, 166, 162?\n\"Answer: -4*k + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**3 - 4*j**3 + 2*j**3)*(-j + 0*j + 2*j) - 126*j + 126*j + 31*j**4 as n*j**4 + o*j**2 + f + s*j**3 + r*j and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w - 901 + 2731 - 968 - 944 to n*w + q and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 57. Let h be 53\/(-2) + ((-9)\/(-6))\/j. Let i = 20 + h. Sort 0, 2, i.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/16*(3 - -1). Factor -16\/3 - 8*p - 4*p**2 - 2\/3*p**y.\nAnswer: -2*(p + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, x: 10}. What is prob of sequence ffxf?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/((-2)\/(-8)). Let g(x) = -5*x + 0*x + a*x. Let s(z) = -1739 + 1739 + 3*z. What is g(s(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 135837?\nAnswer: -271674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.403 and -1487.9.\nAnswer: -1488.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1808751 divided by 1808751.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 11*v + 4. Let n be h(-8). Let o = 60 + n. Suppose 2*z - o = -0*z. Solve z = r + 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 60*o - 300.\nAnswer: -3*(o - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22436 and 1033547?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 33 = -3*y - 3*h, 3*y = 4*h - 68. Is 19730*-1*8\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y + 66*y - 931440 = 0. What is y rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1)\/((-2)\/6). Let t(b) be the third derivative of -2*b**2 + 0*b**4 + 0*b + 1\/240*b**6 + 0*b**5 + 0*b**w + 1\/420*b**7 + 0. Let t(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 23*q**2 - 622*q + 29. What is h(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 259 in 3\/2, -1, 2\/3871, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 581, 833, 1089, 1349, 1613?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let j(y) = 66*y + 27. Let v(b) be the second derivative of 5*b**3\/6 + b**2 - 6*b. Let x(g) = 4*j(g) - 54*v(g). Determine x(p(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 23*p**2 + 5*p - 5*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.64 - 2.64. Which is the nearest to 1? (a) 0.2 (b) j (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose 33 = 3*n + 4*x, -2*n - j*x - 15 = -5*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2de59 (base 16) in base 14?\nAnswer: 4c721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 15*o**2 + 45*o + 34. What is the tens digit of m(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143953\/16 - 8997. What is the nearest to -1\/2 in 3, 0.08, -3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/1 - (3 - 6). Suppose -2*u + 6*u - 36 = r. Solve -t + 4*t - u = -3*l, 0 = -t + 5*l - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 3549305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6228 and -3632.\nAnswer: 2262.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/816054 and -17\/69586.\nAnswer: 8976594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -11, 7, -0.1, 0.1, -4.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**2 - 31*o + 5. Let f be g(-5). Suppose -5*c - f = 0, 2*a = 4*c - 3*c. Put a, 5, 33 in decreasing order.\nAnswer: 33, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 70108200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.01?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 1 + 3. Let f = 11 + -4. Let k = f + -3. What is the least common multiple of j and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and 67\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561329, 561037, 560745, 560453, 560161, 559869?\nAnswer: 559577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times -118?\nAnswer: 14278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3073242ng?\nAnswer: 0.0000000000000003073242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2711 is divided by 1324.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - 2*h**3\/3 + h**2 - 7*h. Calculate c(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -477.2505*17.\nAnswer: -8113.2585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65681, 63514, 59895, 54818, 48277, 40266?\n\"Answer: -m**3 - 720*m**2 + 66402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -21*c + 552. Let s be g(26). Let l be (3 + -6 - -5) + 5. Let m = -5 + l. What is the greatest common divisor of m and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050605 rounded to four decimal places?\nAnswer: -0.0506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 23*d**2 - 1575*d - 652. Calculate w(69).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9 - 56 - 2*h + 4*h + 9. Let s be t(18). Which is the second biggest value? (a) s (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 2. Suppose -2*v + 5*c + 18 = 0, 2*c = 5*v + 13 - 37. Suppose -10 + 74 = v*s. What is the lowest common multiple of s and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 1. Suppose -5*h + 11 = -4*q, 5*h = -0*h + 15. Give m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 1540?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 828, 1679, 2544, 3417, 4292, 5163?\n\"Answer: -s**3 + 13*s**2 + 819*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-30) + (-22)\/55.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/24*8\/12. Suppose -4*q - 2*z + z = -5, -4*q + 5*z = -23. Determine u so that 1\/4 + k*u**3 - 1\/4*u - 1\/4*u**q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from xxjjjxxxjnjc.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 3.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2192\/9 - 730\/3. Which is the second smallest value? (a) d (b) -174 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*x**3 - 8087*g*x**2 - 14*x**3 - 34 with respect to g.\nAnswer: 2*x**3 - 8087*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:06 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -157\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.05 - 0.05. Let w = 15 - f. Let t = -1 + w. Which is the third smallest value? (a) t (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 9. Suppose -8*y - 24 = -4*y. Determine q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -45) + -10 + (25 - 12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c = 85*c, 4*c - 3 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(112) + -4)*2)**2 + (-1 + sqrt(112) + (sqrt(112) - sqrt(112)*1))**2).\nAnswer: -680*sqrt(7) + 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 14 - 1 = 0. Let o be -1 - (1 - 1) - i. Let r = -1 + o. Let w(m) = 2*m + 6. Calculate w(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a + 86*a - 6*a + 19*a + 83*a.\nAnswer: 201*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 18390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -929526 divided by 51\nAnswer: -18226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 337 times 4\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l + 13. Let d(c) = 11*c + 9. Let a(b) be the second derivative of -b**3\/6 + 19*b**2\/2 + 6*b. Let r be a(14). Give r*s(h) - 7*d(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (3 - (3 + -5)). What is the closest to -1 in 0.3, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*p + 30, 5*p + 19*l = 18*l + 20. Let a be 20\/5*(-1)\/(-10). Let o be -1 - (0\/(-2))\/2. What is the closest to -1 in a, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 0*o)*(-2 + 7 - 3) - 5*o + 3*o - 7*o - o - o + 3*o + (-7*o + 3*o + 3*o)*(1 + 2 - 6) - o + 3*o - 3*o + 1 - 1 + o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2973275090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-374)\/153)\/11*(-1)\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:45 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5\/a)\/(((a*a**(-3)*a)\/a)\/a*a))\/(a**(-2)*a)**36 assuming a is positive.\nAnswer: a**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 32 (c) 0.1 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*i - 261*i + 785*i - 260*i - 859 in the form m*i + v and give v.\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(75)*-1)\/sqrt(5))\/(((sqrt(3) - sqrt(3)*2 - sqrt(3)) + sqrt(3))*-6*3).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12615137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -79*l**2 - 3715*l - 49. Calculate k(-47).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 18 = 5*v. Is -2 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -3 (c) -57\/8 (d) 172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:22 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vad when three letters picked without replacement from idvda?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 4*s + 2. Suppose l = -l - 8. Let n be k(l). Suppose -4*z - 3*y = -n*y - 21, -5 = 5*z - 5*y. Solve -4*i + 8 = 2*b, -i = z*i + 4*b - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3766*g - 1877*g + 5741*g - 1384*g.\nAnswer: 6246*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 25. Let y = -4 + c. What is the greatest common divisor of 48 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4492.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 182. Let d = s + -96. Let i = -68.7 - -69. Put -3\/8, i, d in ascending order.\nAnswer: d, -3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 3 (b) -5 (c) -1\/4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1513 - 3*t - 1506)*(3 - 2 + 1 + (-3 + 0 + 1)*(-2 + 4 - 3) + (-1 - 4 + 2)*(-1 - 2 + 0)).\nAnswer: -26*t + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 213253.3 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0.2. Let n = 20.7 + -24. Let s = n + 3. Sort -0.4, s, q in descending order.\nAnswer: s, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x + 84 = -21*x. Let r = 15 - x. Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -23.039?\nAnswer: -22.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*t - 361*t = 17 - 82. Solve 5*z + 4*d = z, 4 = -t*z - 3*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -14, -21, -30, -41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(-10)\/(-60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6364 and 23044388.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**6*o))**(-17\/3)\/(o*((o\/o**(-3\/25))\/o)\/o*o*o\/(o*o*o**(11\/3))))**(-19\/4) assuming o is positive.\nAnswer: o**(-13376\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h - 20*h - 10688 + 70006. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, 5, 44, 119, 242, 425, 680, 1019?\n\"Answer: 2*s**3 + s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 u when three letters picked without replacement from gqqlluollloolllul.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u - 11. Find the second derivative of -19*n - 5*n**2 + u*n**2 + n + 3*n**2 wrt n.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1556714 + 1556093.7268. Let u = z + 620. What is u rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378, -342, -276, -180, -54, 102, 288?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 10*j**2 - 10*j + 11. Let b be y(9). Suppose -b*c + 22 = -218. Suppose -10*d + c = -440. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-5*((-392)\/3528)\/(10\/(-108))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10320 divided by 2064?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -63. Suppose 2*i + q = 4*i. Suppose -h + p + 130 = -p, -i*h + 263 = -p. Is h a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/780 and -63\/650.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w - 5*w - 6*w. Let i be 1\/(1 + 2)*-3. Is r(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 25, v - 2 = d + d. Let u be -11 + v - -9*1. What is the highest common factor of u and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m - 2. Let a(t) = -95*t**2 - t + 1. Let n be a(1). Let q = -67 - n. Let z be (2 - q\/8)*2. Calculate l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*n - 85 = n, -2*n - 70 = -3*o. Let j be (-22)\/33 - o\/(-3). What is the closest to j in -0.4, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95320.4803 from -794.2.\nAnswer: -96114.6803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 3*d**2 - 138*d - 125. Let r be h(23). Solve 2*t - z + 11 = r, 1 = -2*t - z - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1)\/((-4)\/6). Let b = -195 - -205. Suppose 0 = 5*q + b, 3*q + v = -2*f + f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*a**2 + 188*a**2 - 7*a + 187*a**2.\nAnswer: 258*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 + -130. Is (-72)\/(-90) + l\/(30\/302) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 1. Suppose -3*t + 2*i + 10 = t, 0 = t + 4*i - 25. Suppose 4*v - 15 = t*c, -3*v = -c + 3*c + 6. Let m be (v - (-3)\/3) + -3. Determine g(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*v**2 + 6*v**2 - 44*v**2)*(0 - 4 + 6)*(-2*v**3 + 0*v**3 + v**3).\nAnswer: 216*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 + 2*h - 9. Calculate g(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9701, 19264, 28827?\n\"Answer: 9563*u + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 34) + 20 - (0 - (-1 + 10 + 2))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 123, -66, 43 in increasing order.\nAnswer: -66, 43, 58, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*(sqrt(1377) + 3 + sqrt(1377))*-4)**2.\nAnswer: 17280*sqrt(17) + 794752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(6\/(-9)). Suppose -y + n + 1 = 0. Calculate the remainder when ((-15)\/y)\/((-3)\/4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - r - 7. Let f(b) = -2527*b**2 - 3249*b - 22743. Let m(t) = f(t) - 3249*z(t). Let a(x) = -3*x**2. What is a(m(g))?\nAnswer: -1563852*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1358, -1361, -1364?\n\"Answer: -3*c - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11971*g**4*k**3 - 239*g**2*k**3 + 8413*g*k**3 - 7*g*k + 2*k**3 - k**2 wrt g.\nAnswer: -143652*g**2*k**3 - 478*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 633, 924, 1211, 1494?\n\"Answer: -2*k**2 + 297*k + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -55155 = -52889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1080133887 to the nearest integer?\nAnswer: 32865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-77)\/2))\/(-10 - 522\/(-63))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - o - 1. Let j be h(-1). What is the first derivative of -12*w - 2 + 11*w + j wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-11)*5313\/2898*(12\/91)\/2?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*f + 429 = 0, 5*v - 6*f + 2*f - 752 = 0. Let k = 249 - v. Which is smaller: k or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b + 170 = -5*v, 16 = -4*v. What is the lowest common multiple of b and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.73722 centimeters to kilometers.\nAnswer: 0.0003073722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 4528?\nAnswer: 5\/4528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54324824232 + -14747668684082737\/271472. Let d = c + -1\/5776. Which is smaller: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -4*h. Let c be h\/(-5) - 38\/180. Let l = -67\/90 - c. Is l smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484776 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 214.98 - 200. What is a rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2078 + -1151. What is the remainder when a is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 - -538) + -5 + -4. Calculate the highest common factor of s and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*b**2 + 4*b + 6*b**3 + 30*b**2 wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7328 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1310964 and 19\/1201717.\nAnswer: 14420604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/66140 and 19\/12.\nAnswer: 198420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, -i - 8 = 2*k + i. Let p be ((-53)\/(-198))\/(k\/(-105)). Let u = 5\/33 - p. Calculate the common denominator of 97\/2 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/113, -2\/3?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 554196520.4 rounded to the nearest 100000?\nAnswer: 554200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 4*a + 5 = -12*v, -3*a + 5 = 2*v. Is (v + 2)*(4270\/(-15))\/(-7) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 1560 = -10*x. Suppose 13*b + 0*b = x. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354)\/24 + 147\/84?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*h = 4384 + 4572 - 413 + 215 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 9. Let z be (c\/3)\/(11\/(-33)). Let f(k) be the first derivative of k**4\/4 - 5*k**3\/3 + k**2 - 7*k - 3. What is f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5083 - 11416?\nAnswer: -5323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 1. Let h(o) = -5*o**3 + o**2 - o + 1. What is 3*h(p) + 4*z(p)?\nAnswer: p**3 + 3*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 - 0.02. Let p = -2859 - -2861. Suppose 0 = -3*l - 3*n - 3 + 6, -l - 3*n = -11. What is the closest to t in p, l, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9253 + 9259 = -2*s, 0 = 9*c + 2*s + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 584*g**3 - 586*g**3 + 2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105.0701 rounded to the nearest integer?\nAnswer: -3105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4362*c + 4362*c - 25*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k*k\/(k\/((k*k\/((k**(3\/8)*k)\/k))\/k*k))))\/k*k\/k**(1\/7)*k)**(-38))**37 assuming k is positive.\nAnswer: k**(-9139\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(r + 3*r + 0*r)*(2*r**3 + r**3 - 4*r**3).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose -9 = -m*s - 0. Suppose s*w + 9 = 6*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 5*q - 5. Let r(t) = -t**2 - t + 1. Let j(i) = g(i) + 5*r(i). Let k(c) = 0*c + 0*c**2 - 13*c**2 + 0*c. What is k(j(l))?\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14279206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. Let u = -15.7 - -15.5. Let f = 4.2 + u. Put i, f, 2 in ascending order.\nAnswer: i, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 264 = c, c = 3*x + 2*x - 321. Suppose -3*y = 2*a + y + 38, -a + y - 10 = 0. Let f = a + x. 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: What is 77 divided by -1965?\nAnswer: -77\/1965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 7*p. Let s(c) = c**2 + 4*c. Let z(h) = -7*s(h) + 4*y(h). Let f(r) = -99*r**2 + 210*r**2 - 93*r**2. What is f(z(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = -170. Suppose 3*f - l = 59. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*u + 143 - 143 to the form z*u + c and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + r. Let b(q) = q**3 - 13*q**2 - 16*q - 16. Let p be b(14). Let l = p - -45. Determine f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 97178910090 and -1.\nAnswer: 97178910089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9291 - -0.0709. What is the nearest to -2\/5 in -1\/128, q, -4?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 6:37 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -64. Suppose l + s = -2*z + 84, l = -z + 54. Calculate the highest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -2971a952?\nAnswer: -2971a952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1537, 2978, 4417, 5854, 7289, 8722?\n\"Answer: -o**2 + 1444*o + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from zzzzpfzpzpzl?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 2*g**7\/7 - 52*g**6\/15 + 73*g**5\/5 - 74*g**4\/3 + 16*g**3 - 458*g. Let y(q) = 0. What is q?\nAnswer: 0, 2\/3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or 342?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let k be 1 - (7*-3)\/3. Let h(x) = -x**3 + 9*x**2 - 8*x + 2. Let u be h(k). Solve -m + 1 = -u*l - v, 2*m - 2*l = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 37, 39, 29, 7, -27, -73?\n\"Answer: -6*h**2 + 32*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:03 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*k - 7 + 115*k - 61*k)*(-2*k + 3 - 3).\nAnswer: 2*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562585?\nAnswer: 5, 312517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(500) + 0)*-4 + (sqrt(375) + sqrt(15))\/sqrt(3) + sqrt(50)\/(sqrt(50)\/sqrt(5)))**2.\nAnswer: -10922 - 528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1446, -12000, -40780, -96906, -189498, -327676?\n\"Answer: -1520*f**3 + 7*f**2 + 65*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 - -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104973*j**4 + 4436927*j?\nAnswer: -1259676*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 17. Give y(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 5. Let y = -9 - -5. Let k(t) = -t - 5. Let v(b) = y*w(b) - 5*k(b). Let s(n) = -2*n - 11. What is 6*s(f) + 13*v(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -24. Calculate the remainder when l is divided by (0 + 6)*(-3 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 + 3 - 3. Let c(t) = -5539 + 5539 + 2*t. Give b(c(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/25)*(i*i*i*i*i**(-2\/3)*i)\/i)**(1\/5)*(i\/i**(5\/2))\/(i*i**(2\/5))*(i**1)**(-36) assuming i is positive.\nAnswer: i**(-28663\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 354 - 354. Let p(b) = b**3 + b + 12. What is p(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7820, -15715, -23610, -31505, -39400?\n\"Answer: -7895*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -11. Let c(x) = -17*x + 82. Let p be c(4). Let i be (-2)\/10 - (-2 + p\/30). Sort i, 3, b in increasing order.\nAnswer: b, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.016 (b) 4\/3 (c) -4\/697\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 3*q)*(-4 + 0 - 1).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/15200 and 109\/86640.\nAnswer: 866400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*a - 1288 = 58*a. What is the closest to 2 in a, -5, -34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 7. Let g(n) = 5*n**2 - 15. Let j(u) = 4*g(u) - 9*l(u). Let x(p) = 6*p**2 + 10. Calculate -20*j(v) + 6*x(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.2, 5, 46, 0.1, -5 in descending order.\nAnswer: 46, 5, 0.2, 0.1, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -417, -722, -1027?\n\"Answer: -305*c - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 30*i**2 - 977*i + 4768. Give m(-51).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**5 + d**3 - d - 2. Let x(j) = 8*j**5 - 41*j**4 - 160*j**3 - 107*j**2 + 161*j + 166. Let i(m) = -x(m) - 9*z(m). Let i(s) = 0. Calculate s.\nAnswer: -37, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/1)\/((-2)\/(-5)). Let u(y) = -24*y**2 + 1 - 2 + 7*y + 23*y**2. What are the prime factors of u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 615103?\nAnswer: 6150dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-46)\/(j*j**(-1\/4))**(-4\/9) assuming j is positive.\nAnswer: j**(-275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142244053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 9*v + 9. Determine u(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(15\/210)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6387.68 - -6388. What is the second biggest value in 4, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204 + 6*l - 6*l - 627 + 200 + 223 - 11*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240511886 to the power of 1\/3, to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10038 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*q**3 + 39*q**2 - 39*q**2)*(-12 - 7 - 10) as f*q**3 + v + k*q**2 + m*q and give f.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 7*o - 2. Let d be c(8). Suppose -g + d*g - 60 = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76372\/7 - 10904. What is the common denominator of h and (22\/(-9))\/((-10)\/(-3))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 194 = 3*u - 0*c, 5*u - 5*c + 290 = 0. Let d = -57 - u. Put 4, 2, -1, d in decreasing order.\nAnswer: d, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*k - 1497 = 1572. Solve 5*z + w = k - 10, -3*w = -9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -4, 71, 535, 3.\nAnswer: -179, -4, 3, 71, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t. Let z(x) = 2 - 6 + 4 - 14*x. Calculate -17*y(b) + 6*z(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141343 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 40 = -9*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u + 1120 = -56*u. Let i = u + -111. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*b = 0, 3*b + b = 4*h. Suppose 2*n = -h*n. Suppose n*t + t = 18. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7554, -14896, -22238?\n\"Answer: -7342*p - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*n**3 + 486*n**3 + 926*n**3 + 916*n**3.\nAnswer: 1672*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -1, -42, -45 in descending order.\nAnswer: 2, -1, -4, -42, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -773*n - 10124. What is l(-13)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1959, 2096, 2291, 2544, 2855?\nAnswer: 3224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 496997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 172*c - 86*c = 88*c + 7, 0 = 3*r - 4*c - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 36*n**2 - 170*n + 3008. Determine s(18).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1426759030.339023151 + -3.339023151. Let q = 1426758967.00000156 - b. Let z = q - -60. Round z to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 22*v**2 - 13 to the form z + j*v + y*v**2 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 + q + 2. Calculate y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 31*m - 1403. Let n(q) = 11*q - 468. Calculate -17*n(j) + 6*z(j).\nAnswer: -j - 462","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20746*c**3 - 49042*c wrt c.\nAnswer: -124476*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282.5 - -5.5. Put i, 2, -3 in descending order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68482650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 6*l - 1. Calculate z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -9*l + 4*l. Let m be l\/21 + (-2)\/(-3). Let s be m\/(-3) - (-3)\/(-9). Solve 0 = -5*q + 15, s = 3*b + b + 5*q - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30808.2*-0.5.\nAnswer: -15404.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-225))\/(76\/(-380)). Let j = -0.07 + 0.03. Let h = -0.4 - -0.3. What is the nearest to 0 in j, c, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.5348 * -8.\nAnswer: -44.2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:10 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -80*z + 632 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*2 + sqrt(500) + -3 + -5.\nAnswer: -8 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1824, 1810, 1794, 1776, 1756, 1734, 1710?\n\"Answer: -y**2 - 11*y + 1836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 5238*p - 449688.\nAnswer: 3*(p - 1828)*(p + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52314*w + 52316*w - 74460. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0\/(-12 + 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 40*-7*(-26)\/(-455) + 22 + -2 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 444 - 189. Let b = -146 + k. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3066 (base 7) to base 10\nAnswer: -1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 1 - 1 + (-4 - 2 + 4)*(1 - 1 - 2*t) + 1 - 1 - 2*t + 0*t - t + 4*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*p - 10*p. Let c(o) = 8*o + 1. Let q(i) = 7*i + 1. Calculate p*c(g) + 6*q(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5802 + 8566. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -21. Let s = 3 + j. Solve -a - 5*p - s = 6, 3*a - 4*p = 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -97550, 0.5 in descending order.\nAnswer: 0.5, -3, -97550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 493714757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:50 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igh when three letters picked without replacement from hpgggphigp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 15. Let q = 30 + s. Suppose 5*y - 30 = 2*l + q, 3*y = -2*l + 47. Calculate the greatest common factor of 75 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25244 + -25241. Factor 6*u**2 + 1\/3*u**4 - 7\/3*u**q + 8\/3 - 20\/3*u.\nAnswer: (u - 2)**3*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 353*q**3*z - 5520*q**3 + 30*q**2*r*z + 4*q**2*r + 22*q*r*z + 69*q wrt z.\nAnswer: 353*q**3 + 30*q**2*r + 22*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -3877.3227.\nAnswer: 3877.6227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 3*i - 2 - 12*i - 10. Let k(j) = -j**2 + 3*j + 4. Let w(r) = 8*k(r) + 3*n(r). Calculate w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2177786431 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-874)\/21850*(2\/(-1))\/(-1)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28410.\nAnswer: 2, 3, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, h: 1, j: 2}. Give prob of sequence hooj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 382*g - 44908. Calculate v(94).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*l + 8 = 0, -3*p + 7*l - 4*l + 9 = 0. Suppose 500 = p*q + 3*q. What is the greatest common factor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6) + 37 + -9 + -10 + -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3*w**2 + 641*k**3 + 1326*w**2 wrt w?\nAnswer: -4*k**3*w + 2652*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -293 - 145. Suppose -117 - h = -4*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2490, -2488, -2486?\n\"Answer: 2*n - 2492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16689605 divided by 23\nAnswer: 725635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85845 + 234044 + 277246 = 33*f. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 844 divide 12516520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5991996 in -6\/7, -1, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*45\/81 + 8\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -87*k - 5. Let v(b) = -7*b**2 - 9*b - 7. Calculate v(z(u)).\nAnswer: -52983*u**2 - 5307*u - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 817 or -0.1?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.18, 0.1, 25, 3, 1.5, -15?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16662 - 12?\nAnswer: -20004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u + 2*j - 14, -3*u - 5*j + 17 = 0. Suppose -2*g = -8, -o - 22 = -3*o - u*g. Does 7 divide 9\/o + (1 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*102\/42 - 30\/42. Solve -52*h = -55*h + u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 7*f + 1. Let w(p) = p**2 - p. Let o(x) = 4*w(x) + y(x). List the prime factors of o(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 2222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**3 - b**2 - 4*b + 50. Suppose 3*l = 3 + 6. Let k(w) = 2*w**2 - w - 3. Determine l*i(u) - 4*k(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/4 (b) 0.1 (c) 0.2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 1135 = -1685. What is the least common multiple of 5780 and q?\nAnswer: 28900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from uukkvkuvkukkkkuhuhhk.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 24*d - 29*d + 31356, 3*b - 2*d = 31335. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 608936554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16327 - 16322. Suppose 0 = -2*a + 4*a - 8. Suppose -3*d - y - 8 = -5*y, -a = 4*d - 4*y. What is the remainder when o is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63560*r + 99401 wrt r?\nAnswer: -63560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 8) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 13) to base 11\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from {y: 5, k: 5, m: 1}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.193 times 91.865?\nAnswer: 17.729945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 1. Let v be r(3). Suppose v + 6 = -u. Let t = u - -14. Solve -t*z + 5*z + 7 = 2*n, 3 = 3*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 8*t**2 + t - 2. What is o(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) - (-328)\/6. Suppose 3*q - 4*w = -45, 4*q + w + 25 = -n. What is the common denominator of 81\/2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.182867 minutes in hours?\nAnswer: 0.21971445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*g + 2*g**4 - g**4 + 42*g**3 - 214*g**2 + 215*g**2 wrt g?\nAnswer: 24*g + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75c39 (base 15) to base 13.\nAnswer: 101307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1546 + 1545.2. Let g = 197 + -201. Put g, 24, h in descending order.\nAnswer: 24, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.0816 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2554, -2625, -2744, -2935, -3222?\n\"Answer: -4*m**3 - 43*m - 2507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912753109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2 - 6. Suppose -21 = -h*g + 3*g. Let n = -15 - g. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -105206, -105276, -105346, -105416, -105486, -105556?\n\"Answer: -70*d - 105136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512336 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, h: 2, j: 7}. Give prob of sequence eh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -51, 5, 33824?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -17 + -1 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 2*n)*(5*n - 3*n + 0*n) + (-16 - 15*n + 16)*(6*n - 2*n - 3*n) + 2*n**2 - 3*n**2 + 3*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/376 and 95\/2474.\nAnswer: 465112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-205821)\/144)\/(-21))\/((-1)\/4). Let u = n + 273. Let j = -32 - -63\/2. What is the closest to -3 in 1, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -423\nAnswer: -74\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/4 - 35*i**4\/3 - 385*i**3\/2 - 1350*i**2 - 8310*i. Factor f(z).\nAnswer: -5*(z + 4)*(z + 9)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/5 - 1) + (-6664)\/(-85). Let f = p - 47. Find the third derivative of -36*c**4 - f*c**2 - 38*c**2 + 65*c**2 wrt c.\nAnswer: -864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -4653?\nAnswer: -4653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 1088 = -1407 - 995 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 203877 (b) 6 (c) 5 (d) 0.2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - 5*r**2 + 3*r**2 + (-r**2 + 4*r**2 - 2*r**2)*(0 + 0 + 1) + 2*r**2 - 5*r**2 + 7*r**2 + 2*r + r**2 + 0*r + 2 - 1.\nAnswer: 8*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/((-19)\/(-38))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -82 + -1 + ((29 - 55) + (2 - -23) - -14)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(((-18)\/1)\/(-3))*(-6)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 16*d**3 + 6*d**2 + 6*d + 1. Let y(o) = 33*o**3 + 13*o**2 + 13*o + 2. Give 13*x(q) - 6*y(q).\nAnswer: 10*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/298 and 17.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = -54*m + 13*m + 880 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -61*t**3 + 6*t**2 + 4*t + 6. Let u(f) = f**2 + f + 1. Calculate -g(v) + 6*u(v).\nAnswer: 61*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353924, 707950, 1061976, 1416002, 1770028?\nAnswer: 2124054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = -4*z - 7, t = 5*z + 2. Let w = 0 + -4. Let f be z*(-1 + w\/2). Solve -2*u + 13 = f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/16 + -2 - 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from hgryb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -3 (c) 0 (d) 4\/5 (e) -1\/55 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/3 + 4*k**3\/3 + 4*k**2\/3 + 2. Let b(q) = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15 + 32416\/40. Suppose t = -18*n + 23*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2\/3*w**3 + 0*w - 3\/2*w**2 + 3. What is the second derivative of q(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 6*i - 40, 2*i = -5*j + 482 - 446 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38028*g**2 + 85358*g**2 - 14 + 161523*g**2 + 14.\nAnswer: 208853*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*o - 9 - 8, -2*j + 7 = -3*o. Let w = -109\/438 - -6\/73. What is the third smallest value in w, -0.33, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -34. Suppose 0 = -2*u + 2*c + n, 0 = 2*u + 3*u + 5*c - 180. Calculate the lowest common multiple of u and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1949 + 1944. Let t = 7 - 9. Put f, t, -3 in descending order.\nAnswer: t, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - 399\/57?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qahgqria. Give prob of picking 1 h, 1 q, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 609*y + 37243. Give t(665).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q. Let h(f) = -221*f**2 - 48. Let c(j) = -74*j**2 - 18. Let v(y) = 8*c(y) - 3*h(y). Calculate v(m(w)).\nAnswer: 2556*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - 1 - (-3 - 7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/60 - j**4\/6 + 5*j**3\/6 - 9*j**2. Determine z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.29 + 0.19. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6436993*o. Let c(l) = -60*l. Determine c(m(h)).\nAnswer: 386219580*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4117 - 4123. Let l(r) = -r**3 + 9*r**2 + 4*r - 6. Let m(y) = -3*y**3 + 26*y**2 + 12*y - 17. What is q*m(p) + 17*l(p)?\nAnswer: p**3 - 3*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(68 + 83 - 22)*(-2 + 5*m - 3*m - 1) as p + g*m and give p.\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 30 - 13*p + 30 - 27*p to the form u + z*p + b*p**2 and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622440588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 5*y + 10 = 0, 5*r + 3*y - 8*y + 40 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -19*i**3 + 2*i**2 - 71*i - 2. Let d(w) = -113*w**3 + 13*w**2 - 426*w - 13. Let v(f) = -6*d(f) + 39*q(f). What is the second derivative of v(s) wrt s?\nAnswer: -378*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*q + 7275, 3*q + 1435 = c + 8*q. List the prime factors of c.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3584 - -553. Suppose -597 = 15*a - h. List the prime factors of a.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 7*g**2 - 9*g + 11. Let a be z(8). Suppose v + 5*c + 28 = 6, -15 = a*c. Suppose -5 = v*o - 26. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.020743 minutes to microseconds.\nAnswer: 121244580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(8680\/(-90))*48\/54\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.4 - -2.4. Let p = 46.9 + l. Let k = p - -2.0977. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/(q\/(q\/(q*q**1)))*q*q))\/q)**17*((q\/(q\/q**0))\/q)**(2\/183) assuming q is positive.\nAnswer: q**(-2\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 39. Let i be u(14). Suppose -21*f + 40 = -i*f. Solve -3*q - 4 - 16 = -4*w, 0 = -f*w - 5*q + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -461 + 343?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 195, -5, -2, -23.\nAnswer: -23, -5, -2, -1, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, g: 2, d: 1, q: 1}. What is prob of sequence tq?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n + 36 + 819 = 185 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645831.7l to millilitres.\nAnswer: 645831700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 566952*c - 3401712. Give w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/sqrt(5) - (2 + sqrt(320))**2.\nAnswer: -324 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 452365 to the power of 1\/2, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4338)\/15183*(-28)\/(-12)*(-2)\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 9825600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 0.1, 4\/7, -1\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 2*r - 4*r, -j - 3*r + 6 = 0. Let s be 2 + -1*21\/9. Which is the nearest to 0? (a) s (b) j (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2534 and -81233.\nAnswer: -83767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165\/2 + -81. What is the nearest to -1 in g, 4\/15, -3?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/55 + (-2)\/(-11). Is (-1 + g)*(-13 + 0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13255937.\nAnswer: 17, 779761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let u = m + 3. What is the units digit of u\/9 - 51\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1018 = -2*q - 142. Let l = q + -276. Suppose -2*n + l = 5*j, -n + 3*j = -12 - 47. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191.9 + -178. Let s = 14 - k. Let w = 372\/7 + -53. What is the closest to 0 in 1, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*s - 900 = 749*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1951*m**4*t**2 + 4*m**4*t + m*t**2 - 2826*t**2 + 1 wrt m.\nAnswer: 23412*m**2*t**2 + 48*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4*(-143)\/(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552771006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017563 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316845 is divided by 26315?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1088) + 3*-1*sqrt(1088) - -4*-4*(-1 + sqrt(1088)))*-1*-1)**2.\nAnswer: -4608*sqrt(17) + 352768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 56\/241 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(1\/(-2)). Let x = 0 - u. Suppose -2*h - 4*w = -4*h + 2, 0 = -5*w + 20. Calculate the lowest common multiple of h and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86179 (base 10) in base 16?\nAnswer: 150a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -230?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 + 13*t**3\/6 - 2*t**2 - t. Let l be d(-6). Let m = 21 - l. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - -2.97. Let y = 265747.6 + -265748. What is the smallest value in y, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*o - 14. Let g = 142 + -124. What is the greatest common factor of o and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**3 - t**2 + 2*t - 6. Let p(m) = 8*m**3 + m**2 - 2*m + 7. Let w be (-44)\/(-110) - (-12)\/(-5). Let j(q) = w*p(q) - 3*n(q). Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5 + 0 - 19\/30*k**6 + 4\/3*k**3 - 2\/15*k**7 - 1\/6*k**4 + 0*k + 5*k**2. Find w, given that r(w) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23182517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 6:48 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 24*c - 31. Let l be k(9). Let d = l + -94. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10512*z + 10516*z = -2*t - 4, 5 = t + z. Solve 0 = u + 2*x + t, 5*u = -154*x + 157*x - 21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 238, 385, 532?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 3*k - 5. Let b be u(2). Find the second derivative of 0*v**5 + 3*v**b - 3*v - 2*v + 0*v**5 wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5\/78, 1\/6, -0.5 in increasing order.\nAnswer: -0.5, 5\/78, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -5 in ascending order.\nAnswer: -13, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 803696687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(99) - (sqrt(99) - (1*sqrt(99)*-5 - sqrt(99))) - sqrt(99))\/sqrt(9))**2.\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 64 - 96 = -4*n, -86 = -2*n - 4*s for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/858 and -127\/4104672.\nAnswer: 4104672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 598135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 139399, 4 in descending order.\nAnswer: 139399, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9313 + 0.1013. Let x = l - 0.17. Let m = 13\/2 - 6. Put -1, m, x in descending order.\nAnswer: m, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 13*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*z - 27 = z, 4*u - z - 63 = 0. Let r(k) = -k + 20. Suppose -3*f = -5*f + 10. What is the remainder when f is divided by r(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 4. Let f be d(-4). Suppose -170 = -2*s - f*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 7*v + 5*l - 21 = 0, -3*v - l + 21 = 0. Suppose 2*d = 20 + v. Which is smaller: 15 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 1442759.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -28*c**2 - 35*c - 35. Let i(a) = 3*a**2 + 4*a + 4. Suppose -52*b + 571*b + 1630 + 446 = 0. Give b*d(n) - 35*i(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -1586865837.\nAnswer: -1586865836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1644 = 650*y + 88*y - 2784. Suppose 2*b = -2*b + 8. Let u be (-1)\/(-2)*b*7. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 15) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5923288 and 31768?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dd0 - -4?\nAnswer: 1dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788732129.\nAnswer: 41, 79, 101, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50130*o - 45346*o = -119600 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -28\/52555?\nAnswer: -28\/52555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -4 + (2 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 7:29 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -244576*f. Let b(w) = 122*w**2 - 2. Calculate z(b(p)).\nAnswer: -29838272*p**2 + 489152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 3, -5, -15, -27?\n\"Answer: -j**2 - 3*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**7)**(-11))**48)**49 assuming j is positive.\nAnswer: j**(-181104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/769 != 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -78744 divided by -386\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**5\/80 + g**4\/8 + 21*g**3\/8 + 27*g**2\/2 + 423*g. Find r such that w(r) = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 155*w - 12. Let c be h(3). Suppose 10*j = c + 357. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 362751.4.\nAnswer: 362751.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/363 and -64\/33?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 9*z + 28. Determine m(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:13 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 6:34 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1562 + -1794. Is -241 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9769\/435 - 112\/5. Let g = t - 373\/435. Which is the second smallest value? (a) 14 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -214, -876, -1982, -3532?\n\"Answer: -222*s**2 + 4*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.035.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 - 4.800203. What is o rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/10 - (6 + 3)) + 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*v**2 - 1 + 74*v**2 - 8*v**3 + 87*v**2 + 13*v**3 - v + 56*v**2 to the form o*v**2 + f*v + j + n*v**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 144.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173149628*p**3*x + 12*p**3 - 154*p**2 - 34*p + 2*x - 141 with respect to x.\nAnswer: -173149628*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2052889 - 2052889 + 82736*t.\nAnswer: 82736*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1188909764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 97*d + 66.\nAnswer: -(d + 33)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*x + 2*j, -4*x - 2*j = -18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21475 - -279177\/13. Let x = 9 - 8. Let f = x + -5. Which is the closest to -3? (a) 1 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnq when three letters picked without replacement from qssttbsnnt.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a8288 + -3?\nAnswer: -3a8290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 2*z + 13 = -3*y + 80, -65*y = 5*z - 8*z - 1229 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78440 + 43377255\/553. Let c = -2\/79 + g. Let o be (2 + 2 + -1)\/((-216)\/(-24)). Put o, c, 2 in ascending order.\nAnswer: c, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 281*d**4\/12 + 15*d**3\/2 - d**2 + 2*d + 57. Find the second derivative of b(h) wrt h.\nAnswer: 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*n + 617 = -823 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 10:30 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*m*r**2 + 17*m*r + 39244*m + r**2 + 5*r wrt r?\nAnswer: -10*m*r + 17*m + 2*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4772592*r**3 + 2*r**2 + r - 63131084?\nAnswer: 14317776*r**2 + 4*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17441, -0.3, 6 in descending order.\nAnswer: 6, -0.3, -17441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - z**3 - 4 + 0*z - 2*z to the form i*z + x*z**2 + o*z**3 + a and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t - 48 = 0. Let z be ((-32)\/t)\/((-1)\/3). Suppose -z = -r - 2. Solve r*l + 1 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*27*30\/270.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -8, -2, 22, 70, 148?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from {k: 3, w: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2326578991 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -119 - 87 + 202 + 47*l**2 as q*l + i + n*l**2 and give n.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z - 13. Let n(p) = -5*p + 7. Give 6*g(r) + 11*n(r).\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 41 + (-1 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39249971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6899577*y - 3*y**2 - 2*y**3 + 2 - 6898829*y + 4*y**2 - 2*y**4 in the form x*y**4 + c*y**2 + i*y + n + m*y**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21988)\/23 + 0 + 4. Let l be (-419720)\/i - (-3)\/((-102)\/(-4)). What is the greatest common divisor of 18 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*k - 38*k - 52. Solve -3*a - a + 17 = 5*m, -4*m + k = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41854 is divided by 616?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/25 and 61\/224660.\nAnswer: 1123300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 15.76. What is k rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i + 2. Let w(f) = 4*f**2. What is w(m(n))?\nAnswer: 144*n**2 + 96*n + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175375?\nAnswer: 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341133*q**2 + 341136*q**2 - 682268*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(10\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.67 (b) 0.4 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 36 + 6. Let x be 6\/(t\/9 - -2). Calculate the greatest common divisor of 198 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 125, -6 in ascending order.\nAnswer: -6, -1, 6, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -77385546 divided by 5754?\nAnswer: -13449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -2141.8.\nAnswer: -1070.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -285 (b) -23 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18870*m**2 + 19994*m**2 + 39*m**3 - 38864*m**2.\nAnswer: 39*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18840*f - 100 + 9423*f + 9426*f)*(-2*f - 2 + 2 + (f + 3*f - 2*f)*(-2 + 7 - 3)).\nAnswer: 18*f**2 - 200*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*d + 34 + 0 = 0, 0 = -d + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**3 - 11*x - 3*x + 3*x**3 - 2*x**3 as o + g*x + l*x**2 + s*x**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6106651204675+1\nAnswer: -6106651204674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 333 + 1636 + 116 + 19*x**2.\nAnswer: 19*x**2 - x + 1419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + b4?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 9*w**2 - 136*w - 688. Calculate u(-8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 31 = -3*x, 4*x - 10 = 9*x + 4*v. Let u = -7 + 7. Solve x*m - 2*g - 4 - 2 = u, 0 = -2*m + 4*g + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 23. Suppose -11 = -2*m + 3*o, n*m - 4*o - 11 = 8. Solve 2 + m = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k = -184 - 258. What is the remainder when 362 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -14, 2, -4.\nAnswer: -14, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y**2 - 7 + 2 - 12*y - 47*y + 73*y - 16*y + 2*y**2. Suppose 4 = 4*i - 16. Let t(m) = 6*m**2 + 3*m + 7. Give i*t(q) + 7*l(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23004173\/402 + -57225. Let k = -3\/134 - q. Let g be (2\/(-22))\/(2\/8). Which is the second smallest value? (a) g (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5 = -2*q + 12 + 3, 0*q + 4*u - 44 = -4*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8748)\/(-660) + -13)*(4 - -1)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) -21\/11 (d) -7 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.7*0.014.\nAnswer: 0.3318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71731554*b + 251426292 wrt b?\nAnswer: -71731554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 5*g**4 + 5912 - 11846 - 3*g**3 - 2*g + 5920 in the form d*g**2 + x + m*g**4 + u*g**3 + y*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 526 - 470. Which is the third smallest value? (a) 0 (b) -0.4 (c) z (d) 3\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(20\/(-34)) - 4\/(-4). Let q = -1\/30 - i. Find y, given that 2*y**2 + 8\/3*y - q*y**4 - 8\/3 - 4\/3*y**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39572696 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -7*b**6\/40 + 2*b**3\/3 + 20*b**2. Find the first derivative of y(i) wrt i.\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5907 + 0.\nAnswer: -0.5907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137892*u + 816 = -137076*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - (-5 - (-276)\/(-161)). Solve o = 5*v + 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14\/5, 1\/2 in decreasing order.\nAnswer: 14\/5, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 0*u - 40 - u**2 + 1\/3*u**3 - 9\/20*u**5 + 9\/8*u**4. Let a(s) = 0. Calculate s.\nAnswer: -2\/3, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446765 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 w(j) = 131*j - 2965. Calculate the smallest common multiple of w(35) and 150.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + (-4 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -279?\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 2, 2\/5, -1\/9, 243?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5078125*h. Let m(j) = 3*j. Calculate p(m(o)).\nAnswer: -15234375*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = -6*k + 51. Solve 3*f = 2*m - 9, 0 = -2*f + 4*m + k - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 1 (b) 4\/5 (c) -291910\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 557*l - 18. Let n(m) = -93*m + 3. Let i(j) = -6*n(j) - w(j). Let c(x) be the first derivative of 25*x**3\/3 - 4*x + 1. Determine i(c(k)).\nAnswer: 25*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v**2 - 2*v - 1. Let k be p(-1). Suppose -5*l = -k - 8. Find t, given that 23*t**2 - 7*t**2 + 2*t**3 + 7*t**3 - 2 + l*t = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7))\/((-24)\/(-24)*15\/35)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v**2 - 12431*v + 143793. Calculate n(817).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {u: 4, w: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12481684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3835 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -13041304?\nAnswer: -13041301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.6 - 19.9. Let r = -15 - x. Let m = 2.9 - 3. Which is the third smallest value? (a) r (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) 8 (c) -3 (d) 84 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.41 - 16.59. Which is greater: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6555 + -0.0145. Let l = q + 3.67. Which is the fourth biggest value? (a) 1\/3 (b) 0.11 (c) 2\/9 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - x + 3*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -229.62?\nAnswer: 48.2202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-105)\/(-2))\/(-21)*-70. What is the highest common divisor of l and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1233 (base 4) to base 14\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - -3*3\/9*873 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.205 from 0.4828.\nAnswer: 0.6878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 f when four letters picked without replacement from {e: 1, q: 2, f: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -164*n**3 - 2*n**2 - 3*n - 2. Is u(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7694 + 7794. Calculate the remainder when 333 is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14055*v**2 - 11*v + 3532*v**2 - 106995*v**2.\nAnswer: -89408*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.447 take away -449520?\nAnswer: 449563.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114585577 to the power of 1\/2, to the nearest integer?\nAnswer: 55808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29\/46 + -3\/23. Let v = 203 - 79. Let o = v + -124.3. Sort p, -6, o in decreasing order.\nAnswer: p, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365.671 less than -27?\nAnswer: -1392.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/20 - n**4\/3 - n**3\/6 - n**2\/2 + 10*n. Let l be 66\/(-15) - (-12)\/30. Give g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16558?\nAnswer: 2, 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11995.8 from -2824.\nAnswer: -14819.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = 28. Is 31\/4 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 9081152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 1. Let r(w) = -2. Let l(f) = 3*m(f) + 2*r(f). Let h(j) = -21279*j**2 + 5321*j**2 + 5316*j**2 + 5319*j**2 + 5320*j**2. Calculate h(l(a)).\nAnswer: -27*a**4 + 18*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 4) to base 15\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 17*f - 4*r - 3, -12 = -4*f - 4*r. Suppose 0 = -3*j - 2*v + f, 2*v - 8 = 8*j - 12*j. Let w = -9 + 15. Solve w = j*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10976166, 21952339, 32928514, 43904691?\nAnswer: 54880870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -158972888 divided by 478834\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 14*z**2 + 15*z - 19. Determine y(-13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + (-47 + 11 - -48).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11944779.\nAnswer: 3, 7, 11, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13.45 or -6328?\nAnswer: -6328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 1, s: 1}. What is prob of sequence wsf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 80 and -39.256 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)*x)\/x)**9\/(x**(-3\/7)\/(x**(-1\/5)*x)) assuming x is positive.\nAnswer: x**(-229\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 25*d**2 + 35*d + 22. What are the prime factors of k(-27)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1 - -5*(-8 + -4). Let u = g + 82. Suppose u*m - 11*m = 1926. What are the prime factors of m?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -20, -26.\nAnswer: -26, -20, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/(-2241) + (165\/81)\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/12*(3 + 0). Let d be -1*(-1 + n)*-1. Differentiate -1 + 2*p**3 - d - 4*p**3 wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.0399\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 37. What is the least common multiple of u and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*sqrt(325)*3*-4 - ((sqrt(325) - (sqrt(325) + 2 + 4)) + -6*sqrt(325)*2))*2)**2.\nAnswer: 11520*sqrt(13) + 2995346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + f + 1. Suppose 3*y = -y + 116. Suppose 26 = 3*k - 4*u, -k + 3*k = 5*u + y. Let c be k\/8 + 2\/(-8). Calculate n(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 + 196*m**3 - 28604*m**2 - 118116*m + 146520 = 0. What is m?\nAnswer: -111, -5, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*s - 9, 4*q + 18 = -s + 117. What is the remainder when 151 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 + -3. Let m = -0.4 + l. Let o = -463\/560 + 3\/112. Which is the third smallest value? (a) o (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1511 - 4667 + 1543 + 1559 + 3*l.\nAnswer: 3*l - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**6\/35 - r**5\/35 + r**4\/42 + 3*r - 2. Let g(k) be the first derivative of v(k). Factor g(l).\nAnswer: -2*l**2*(l + 1)*(3*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnxxxxx. What is prob of picking 1 n and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4097299 is divided by 403?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*i + 245 = 0, 2*y - 65 = 5*i + 27. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1470 and 121\/3480?\nAnswer: 170520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 409486347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35036 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110111222100 (base 3) to base 9.\nAnswer: 10414870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 110?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 83*k**2 + 12130*k - 10474. Give s(-147).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -275 - -272.3. Which is greater: -0.05 or t?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 60\/23, -3\/7, -10\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 2, u: 2, f: 2, m: 1, k: 3}. Give prob of picking 1 u and 2 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 5, u: 3, p: 5, a: 5}. Give prob of picking 1 u and 1 a.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000695 rounded to 6 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = m - 4*m. Let v = 47 - 29. What is the remainder when m is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -23*s - 22 - 35, -10 = 3*x - 3*s - 31 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 51.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 189\/135 + (0 - (-3)\/5). Let c be (0\/1)\/(d + -1). Suppose -3*s + 360 = -c*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + -7 + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9051, 2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960328 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1560075242.0001374 - -1560075380. Let m = x - 138. Round m to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9735 - 0.0265. Is j greater than -10.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15752768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 1779?\nAnswer: -26685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 423 + -420. Sort l, -257, -4 in increasing order.\nAnswer: -257, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -1\/2, 1\/5, 2\/11, 2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.192 + 62.992. Round t to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + 87. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187 and (-2)\/(-8) - (22 + (-4428)\/16).\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-5*sqrt(22)*3 + sqrt(22))\/sqrt(11) + 3.\nAnswer: -70*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*a + 27, j + 3*a + 9 = -0*j. Let t be (570338\/j)\/((-4)\/174). Let c = t + 14769901. Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxbubbubxx. What is prob of picking 2 u?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z**2 + 4411*z - 290435. Calculate d(57).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9170324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248917674 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 25.315. Let x = v + 0.085. Is x smaller than 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*p + 1916 = -4639. Calculate the greatest common factor of 529 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 23, 61, 135, 257, 439, 693, 1031?\nAnswer: 1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -250622 - -5503?\nAnswer: -242116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 33 = 2*v + 2*y, -v + 5*y - 21 = 0. Let g(x) = x + 8. Let o = -23 + 16. Let m be g(o). Solve 0 = 3*s + 2*k + m, v*s + 5*k - 11 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyo when three letters picked without replacement from {o: 2, y: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4 - 3 + 8*c + 5 - 7*c. Let z be w(-6). Solve -o + 3*o - 8 = z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12*i + 8*i + 6 = 0, -5*z = -i - 15. Let h be 1\/(-2) - (-26)\/4. What is the highest common divisor of h and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**3\/3 + 4*w**2 + 4*w - 4. List the prime factors of t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1515, 0.4, 4, -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 300*s + 7. Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-3) - 1\/(-3). Let o be 5 - (z + 2 - 2). What is the derivative of -o + 0*c + 2*c + 2 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1, 0.4, -0.04, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 49511896 - -0.1\nAnswer: 49511896.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -j. Let v be 95\/105 - (1 - j). Does 0.1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 1278 + 789 = 0. List the prime factors of b.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + n = 4, -4*n + 1 = 2*m + 3. Let v be (-290007 - m) + 1 - -3. Round v to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 4. Is (-1 - -23)*(-1)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 - -0.8. Let v = 0.97 - z. Let s = v - 0.41042. What is s rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/7 - 10*u**4\/7 - 36*u**3\/7 - 38*u**2\/7 - 13*u\/7.\nAnswer: u*(u - 13)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25440, -25439, -25438, -25437, -25436, -25435?\n\"Answer: m - 25441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from wcppccpmpc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j**3 - 75*j**2 - 539*j - 25. Give p(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 12. Let p(w) = 2*w - 25. Let k(f) = 6*p(f) - 13*q(f). Suppose -230*a - 200 = -250*a. Determine k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(273\/26)*10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3 = -4*g. Suppose i + 3 = 3*q - 5*q, -g*q + 28 = -5*i. Sort i, 12, -2 in descending order.\nAnswer: 12, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 62 = 4*h + 22, 9 = y + 2*h. Let i(g) = g - 19. Let z be i(y). Does 42 divide (z + -3)*(-126)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845931054 to the power of 1\/2, to the nearest integer?\nAnswer: 42964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 6*m**2 - 24*m**3 + 11*m**3 + 7 + 14*m**3. Calculate x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*i + 39, 4*l - 5*l = 5*i + 60. What is l rounded to zero dps?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -143, 9.\nAnswer: -143, -41, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Let p = -32 - -38. Let a = 9 - p. Solve -v*c - 29 = 2*b - 7*b, -3*b - a*c = -12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 f when four letters picked without replacement from hkkfhwwahhfkhha.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, -5, 2, -7, -8, 5\/2, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times -0.4?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 142741.6 micrograms?\nAnswer: 142741600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n + 28. Let x be b(5). Solve -3 = -v + x for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-12))\/(1 - (-21)\/(-18)). Is 1*2*((-407)\/(-2) - z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u. Suppose u = -3*t - 4*p + 157, -42 - 70 = -2*t + p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013558 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.93 and 736?\nAnswer: -13932.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/9)\/(-2)*(-180)\/96?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 4*u + 2. Let d be f(2). Suppose -15 = -4*w + 1. Suppose -3*z = -w*z + 15. Calculate the highest common divisor of z and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 123*m**4 + 1590*m**3 + 5214*m**2 - 15705*m + 8775 = 0. What is m?\nAnswer: -15, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 + 8 - 16*z - 4*z + 17*z to u*z**2 + c*z**3 + r + a*z and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2591\/4 + 634. Let q = w - -14. Which is the closest to q? (a) -3 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3*z**3 + 14*f**3 - 11*f**2*z**2 - 16*f**2 + 5919*f*z**3 - 2*f*z - 2*z**2 wrt z.\nAnswer: -36*f**3 + 35514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10853*o**3 + 3267*o**3 - 3441*o**3.\nAnswer: -11027*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/41296 and 31\/7424?\nAnswer: 660736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 667?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9985 - 0.0015. What is the closest to 2 in i, -0.5, -3\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 150*q**2 - 4001*q - 229. Determine d(-35).\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -7. Is (w - -36) + (-1)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257.5 + -257.5. Which is the fourth biggest value? (a) f (b) -1 (c) -0.035 (d) -1\/10 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*q**3 - 158*q**3 + 2525*q**3 + 1096*q**3.\nAnswer: 2806*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2*k - 2 - 12)*(5*k**3 - 31*k + 17*k**3 + 7*k**3 + 32*k) in the form s*k**3 + a*k**2 + w + q*k + n*k**4 and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(12\/9))\/((-2)\/(-4)). Suppose b*d = 5*d - 196. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 + 23*m**3 + 10*m**3 - 62*m**3 + 13*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/16*(-1430)\/99*69\/(-299)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 524, 583, 684, 833, 1036, 1299, 1628?\n\"Answer: d**3 + 15*d**2 + 7*d + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -623 - -1?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24750 and 58750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 37*k - 10. Calculate x(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -32121514 (base 6) to base 2\nAnswer: -11100110011100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 12*c - 169. Determine q(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010335 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 58?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**2 - 7*s + 14. Let h(p) = 7*p**2 - 4*p + 18. Let i(j) = 7*h(j) - 6*u(j). Determine i(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7651151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 2*s**2 - s - 1. Let r be c(3). Let t(v) = -208*v + 32. Let y(x) = -32*x + 5. Let m(u) = r*y(u) - 5*t(u). Let f(p) = -p. What is m(f(b))?\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 9, 40, 107, 222?\n\"Answer: 2*p**3 - 7*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17158 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 1.3446\nAnswer: 0.215136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1254024?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - -2) + (47 - 43).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408393 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: Simplify (sqrt(1000)*-1)\/(sqrt(64)\/sqrt(128)) + 5*((sqrt(5) + -1)*3)**2*3.\nAnswer: -290*sqrt(5) + 810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/75)\/((-70)\/(-86275)*-17).\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Suppose -u - q*u + 9 = 0. Solve 2 - 3 = u*a + x, -5*x = -a - 27 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8995\/80341 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 2*a**2 - 9*a - 20. Let v be w(-7). Suppose -k = 8*k - v. Let l = k + -37. Let y(o) = 7*o - 3. Let m(f) = 6*f - 2. Calculate l*y(x) + 6*m(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4532 is divided by 679?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z + 5*z + 7*z - 6*z to f*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/(-1240))\/(13\/(1560\/(-16)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 235*f + 1059627.\nAnswer: -(f + 789)*(2*f - 1343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5980613 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/15 and 210\/(-300) - (1 + 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 - (6 + 58 - 66)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -444944.8 and -0.1.\nAnswer: 44494.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242741.262549 + 0.06?\nAnswer: 1242741.322549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 - 3*n + 3. Let y be 0\/(-2) + (-4)\/(-1). Let i(b) = 2*b**2 - 2*b - 2. Calculate the least common multiple of i(2) and a(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120654641 - 50?\nAnswer: 120654561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**3 - 2*d**3 - 7*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 7*w**2)*(11 + 715*w**2 - 714*w**2 - 7 - 11*w).\nAnswer: -6*w**4 + 66*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Suppose 2 + 1 = -3*s. Let y(z) = 2*z**2 + 6*z - 4. Determine s*y(q) - 4*n(q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2bc081 (base 14) to base 7\nAnswer: 16005221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 10) + -68 + 2 + -3 + 0?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*h**4\/3 + 9362*h**3\/3 + 892*h**2.\nAnswer: -2*h**2*(h - 669)*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1586.08 + -1586. Sort 2, z, 1 in decreasing order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12570 and 1008825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a century in months?\nAnswer: 20100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3*h - 3 - 6 + 1 - 2.\nAnswer: 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 9800*c.\nAnswer: c*(c - 9800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240360.6l to millilitres.\nAnswer: 240360600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 + 302*b**4 - 41 + b - 301*b**4 + 50 + b**2 - 55 + b to the form h*b**4 + i*b**2 + u*b + o + y*b**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-4 - -2) + -2). Let x(k) = k - 1. Let f be x(o). Let v = -424 - -426. Solve 5*r + 6 = 2*b - f*b, -r = b - v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26542 - 26517. Solve -a*l = -20*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(78)\/(sqrt(8)\/sqrt(4)) + sqrt(39) + (sqrt(390)*-3)\/sqrt(10))\/(((sqrt(324) + sqrt(324)*1)\/sqrt(12))\/(sqrt(162)\/sqrt(2))))**2.\nAnswer: -3*sqrt(13) + 121\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/837 and 115\/2418?\nAnswer: 21762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-2*(-90)\/(-120)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1\/443401*7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109562371996160 - -3.\nAnswer: 109562371996163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b1d (base 16) in base 15?\nAnswer: c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -77*r**2 - r - 19. Let l(b) = -76*b**2 - b - 15. Determine 5*l(c) - 4*o(c).\nAnswer: -72*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -398128 + 710285. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**2 + 13*a + 173. List the prime factors of c(-14).\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/149)*s)**(-11\/6)\/((s\/s**6)\/(s*s**(2\/27))) assuming s is positive.\nAnswer: s**(34319\/8046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77b - -c97?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*w - 31288 = 569*w + 53546 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68833258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -3367.17.\nAnswer: 3367.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by 23232?\nAnswer: 145\/11616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-6) + 62\/12. Suppose v + 0*v + k = 0. Let i(x) = -2*x**2 + 1. Let m(w) = 3*w**2 - 3. Let p(b) = v*i(b) - 2*m(b). What is p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.2 in -27958, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1820?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + -5*sqrt(72) - (sqrt(2420)*2)\/(2*sqrt(160)).\nAnswer: -131*sqrt(2)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 1, -4, 5, 2763.\nAnswer: -84, -4, 1, 5, 2763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23*h - 231. Let f be t(10). Which is smaller: -107 or f?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t - 67 = -76 - 207 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*p**3 - 294*p**3 - 276*p**3 + 802*p**3 - 2*p**2.\nAnswer: -31*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/5 - 25448*h + 127238\/5 = 0. What is h?\nAnswer: 1, 63619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 256146, 256143, 256140, 256137?\n\"Answer: -3*q + 256149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -468*o - 48003. Give f(-102).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -33*(0 - -1)*1. Let r be 938\/(-10) + -4*(-16)\/(-320). Let h = m - r. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01210193 and -0.01.\nAnswer: 0.0001210193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*y + 17, -5*y + 11 - 26 = 0. Suppose -4*o = -d*o. Is -3\/2 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5369 + 4?\nAnswer: -5365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(l**3 + 0 + 0)*(14*l - 51*l - 14*l).\nAnswer: 204*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 2. Let p(d) be the third derivative of 8*d**4\/3 + 79*d**3\/6 + 5*d**2. Let v(o) = 2*k(o) + p(o). Is v(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/((-27)\/(-6))*(-9 - (-8805)\/10) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**3\/2 - n**2\/2 - n. Let i be v(-4). Suppose -5*q = 5*b - 50, -635*q + 44 = -632*q + 5*b. Solve q*a + i = -4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {b: 4, c: 10, f: 5}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - 3*n**4 + 2*n**4)*(-n + 3*n + 2*n)*(6 - 1 - 2).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(sqrt(117)*-2 + sqrt(13) + sqrt(13) + -5 + sqrt(468)))**2.\nAnswer: -7392 + 1920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 3*l**2 - l**2 - 2*l - l**3. Let z be a(-2). What is the tens digit of (-69)\/(-3) - (z + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 223.079 millilitres?\nAnswer: 0.223079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14446770 by -65.\nAnswer: -222258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-3)\/(-36)*-2*(-630)\/210.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279537 - 0.71.\nAnswer: -279537.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/20 - 7*z**4\/12 + 4*z**3\/3 + 8*z**2 + 451*z. Factor j(f).\nAnswer: (f - 4)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bib when three letters picked without replacement from ibbbbbbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123552 (base 13) to base 7.\nAnswer: -3463620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 162444570 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: Calculate the remainder when 229272642 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**3*v**3*w + 12*o**3*w**2 + 2*o**2*v**3*w + o*v**2*w**2 - 2*o*v*w + v**3*w**2 wrt o.\nAnswer: -12*v**3*w + 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200 - -364. Suppose -z = -5*x - 28 - 9, 4*x + w = 5*z. Solve 5*r + z = -5*c + 7, -c - 5 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 - -144. Calculate the remainder when 108 is divided by 195\/15 + (-1)\/(d\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-44)*72\/(-112))\/((-18)\/(-48))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 - 2*p + 3. Let w = 24 + 186. Suppose -219 + w = -3*v. Calculate y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n*y + 29*n + 2009*y + 151 wrt y?\nAnswer: n + 2009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001100 - 1?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - i - 21, -3*z - i = 6 - 25. Solve z*a + 0 = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248952107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*o - 2 + 807*o + 0.\nAnswer: 502*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1190 - -1987. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0 - 6\/11*n + 2\/11*n**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*y + 6 = 0, -3*f = 7*y - 9151 + 9171 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(297)*3 - sqrt(297))*3)\/((sqrt(33) - (sqrt(1617) - (sqrt(1617) - (sqrt(1617) - sqrt(1617)*1))))\/((sqrt(44)\/sqrt(2))\/sqrt(2))).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 7*z**2 + 5*z - 9. Let r be t(6). Let c = r + -50. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166306 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d - 1)*((-2*d + 2*d - 2*d)*(2 + 0 - 1) + 33*d - 41*d - 40*d).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 236*z**2 + 11*z - 2. Let t(u) = 15*u. Calculate w(t(l)).\nAnswer: 53100*l**2 + 165*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b - 7. What is the third derivative of -q**2 - 3*q**3 + 2*q**2 - 3*q**3 + 2*q**b wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45969.99989 + 45972.2. Let c = -4 - -1.8. Let y = c + u. Round y to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**4*(c**14\/c*c)\/c**(1\/2) assuming c is positive.\nAnswer: c**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**4 - 11*g**4 - 2*g - 4 - 5*g**3 + g**2 - 7*g**4 + 37 to the form k*g**2 + x*g**3 + f*g**4 + j + v*g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -1, -324 in decreasing order.\nAnswer: -1, -179, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-8)\/72?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*l**3 + 5*l + 186*l**3 - 10*l - 3 to b*l**2 + s*l + t + a*l**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 325.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -2 + (-15)\/(-5). Let s = -113\/630 - 3\/70. Which is the smallest value? (a) i (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308420 and 92526?\nAnswer: 925260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a + 7. Let j(o) = 2*o**3 - 6*o. Suppose 0 = -5*f + 2*q + 6, 5*f - 3 = 4*q - 1. Let h(i) = 4*i**3 - 3*i - 2*i - f*i**3. Determine a*j(l) - 6*h(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 267*f**2 - 23*f - 32. Let r be d(-7). Suppose r = 2*a - 2*n, -4*a + 7*a - 19836 = -3*n. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 30. Suppose 3*m + a = 3*x - 131, 0 = -2*m. List the prime factors of (22\/6)\/(4\/x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 6*x - 3 = 0. Calculate the remainder when 3\/(6\/148) + x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*s + 23868 = -10*s + 9*s. What is the greatest common divisor of s and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4940 = -4952. Let r(c) be the second derivative of 0 - 6*c + 0*c**u + 5\/2*c**2 + 0*c**4 + 9\/20*c**5. Differentiate r(f) wrt f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546 (base 16) in base 6?\nAnswer: -41114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 8, 3*q + a + 2 = 1. Let d(c) = 9*c**2 - 2*c + 3 - c**2 - c**3 - 6*c. Let f be d(7). Put f, 2, q in descending order.\nAnswer: 2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (2 - -55)) + 4. Let c be -4*(p\/54 - -1). Solve -2\/3*y - c*y**2 - 4\/9 = 0 for y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246385021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -54 + 61 + (-6 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, q: 1, d: 6, v: 1, m: 3, h: 3}. What is prob of picking 2 h and 1 c?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 20 = -s + 4*w, 20 = s - 4*w. Suppose 11*u = 10*u + 2. Put s, u, 4 in ascending order.\nAnswer: s, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6) + -1)\/((-3)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 - 2*y - 1. Let i(s) = 9*s**2 - 3*s - 1. Calculate 3*i(c) - 5*t(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c. Let a = 6 - 4. Let b be a\/10 + 34\/30. Which is greater: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46154838 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 632856.646 times -0.2\nAnswer: -126571.3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43992)\/(-168636))\/(8\/46)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + g + 71 = 237, 5*s - 2*g + 206 = 0. Let f = s - -252. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f + 31*f**2 + 44*f.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 724 by 6.\nAnswer: 362\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -97*t - 804. Calculate j(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13399 times 0.721\nAnswer: -9660.679","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 127 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-63)\/15)\/(6\/30). Sort -14, s, -5 in descending order.\nAnswer: s, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23433 = 3*b + 3*a + 6537, 3*b - a = 16872. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(425) + -1 + -3*(sqrt(425) + -1)) + 3)**2.\nAnswer: -200*sqrt(17) + 42504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -412, -1465, -3526, -6931, -12016, -19117?\nAnswer: -28570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 16 + 14. Let t be (b\/(-2))\/((-4)\/8). Suppose -3*z = 4*h - 50, -z + 0*h = -5*h + t. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, -4\/7, -3, -9, -108\/2311?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-80)*5)\/(834\/2085*130\/(-4)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/7, 33, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.4 (b) 2\/9 (c) 2\/16147 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 18. Let u be c(-12). Let g = u + -89. Let t = g + 84. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 6 (c) -24715\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5214150 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let a be n(-1). Suppose 5*z - 2*t = 1372 + 12, -3*z + 831 = -t. Let o = -257 + z. What is the second smallest value in a, o, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-270)*9*12\/19.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 338*d**2 - 465*d - 6. What is the hundreds digit of c(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40\/47 - 167\/141. Which is greater: h or -71?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3169, -5820, -8473, -11128?\n\"Answer: -l**2 - 2648*l - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**3)\/(a**1*a*a))**16\/(((a*a**3)\/(a\/(a\/(a**(-5)\/a))))\/((a\/(a\/(a*a**6))*a*a)\/(a\/a**(-4)))) assuming a is positive.\nAnswer: a**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.409221925 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -124 - -33d74d?\nAnswer: 33d629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by 144?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 21115?\nAnswer: 126690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(135\/(-2)))\/((434\/735)\/31).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - -1) - (-59 - -18 - -45) - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1868*t + 3488*t + 38 - 38 in the form p + m*t and give m.\nAnswer: 5356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 8*j**2 - 7*j - 3. Let p(a) = -a**2 - 14*a + 17. Let t be p(-7). Let u be 4\/10 - t\/(-10). Determine q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64121792 to the nearest integer?\nAnswer: 8008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 - 4 = 0. Suppose -3*x + 12 = -6. Let k(v) = 7*v - x*v**2 - 3*v + 0*v**3 + 3*v**3 - 2*v**3. Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/8)\/((-1)\/2). Let w(k) = -k**3 + 4*k**2 + 5*k + 1. Give w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 1 + 1)*(2*v**2 - 2*v**2 - 2*v**3) - 9*v**3 + 9*v**3 + v**4 + 3*v.\nAnswer: 5*v**4 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046369507.\nAnswer: 47, 181, 123001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12357, -12360, -12365, -12372?\nAnswer: -12381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -12. Let d = p + -12. Suppose d*f + g = 3, -4*f + 1 = -g - 2*g. Is f bigger than -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 20, -3, -72, -5 in descending order.\nAnswer: 20, 14, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 28, 47, 74, 109?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9698 + -8818. What is the highest common divisor of 605 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -16. Let b = u + 10. Sort b, -2, -3.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (0 - (1 - 2))) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*k, 5*d = -3*k + 3*d + 4. Suppose -2*t - j = 2*t + 2, 3*t + k*j = -8. Let u be (-3)\/(6\/4) + 2. Is t greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12947, -13072, -13127, -13076, -12883, -12512?\nAnswer: -11927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 536755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28546 - 11755. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6015965177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i + 1780. Let a be f(0). Let j = -746 + a. What are the prime factors of j?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n - n - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*f = f - 10, -4*f + 28 = 2*k. Let b be k\/(3\/3 - 0). Let l = b - 0. Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66425.4654 rounded to the nearest 100?\nAnswer: -66400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 9*a**2 + 6*a - 20. Let s be p(-7). Let f be (-24)\/s*2\/6. What is the closest to 1 in f, 0.4, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m. Let o(r) = -r**2 - r. Calculate 10*o(y) + s(y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 711*m + 17 - 711*m + 11*m**2 wrt m?\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (0 - (-5 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 = 1. Suppose -11 = -2*x - 3*x + 3*v, -v = 3*x - t. What is the least common multiple of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 535, 533, 531, 529?\n\"Answer: -2*z + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -8*f**4 - 44348*f**3 - 22172*f**2 = 0?\nAnswer: -5543, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -5*h + h. What is the highest common factor of 177 and h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 98. What are the prime factors of (-24)\/(((-9)\/g)\/3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744823 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 5*i**2 + 456*i + 2. Let k be f(19). Let d(s) = -1 + 3 + 3*s**2 + 3. Let n(m) = 7*m**2 + m + 11. Give k*n(h) - 5*d(h).\nAnswer: -h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 376310 = -4*x, 30*x = 25*x - 5*c + 470385. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -239243 (base 13) to base 2.\nAnswer: -11001111001000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124800 by -4.\nAnswer: -31200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1 + 2*d + 0*d - d. Let q be ((-72)\/81 - 875\/(-63)) + -5. Give t(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 922+0.26\nAnswer: 922.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 537, 293, -217, -1125, -2563, -4663?\n\"Answer: -22*k**3 - k**2 - 87*k + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -34*n + 35*n, 5*j - 2*n - 33 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912 = 34*m - 30*m. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/5 - 1700*s**2 - 8699586*s\/5 + 711142488\/5 = 0.\nAnswer: -2163, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 32. What is h(15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let m(b) = -b**2 + 70297. Give f(m(z)).\nAnswer: -2*z**2 + 140594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.3. Which is the nearest to -1? (a) -2\/13 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1115 + 1243. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*z**3 - 16191*z**3 - 1836*z**3 + 2239*z**3.\nAnswer: -16398*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 8) to base 16.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243 - -255. Solve -5 = -p*a + 13*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000228 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23.391 (b) -2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6179\/16 - 386. Which is bigger: -2\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjcjxcwsxjcjcjzj. What is prob of picking 1 z, 1 j, and 1 s?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/20 - n**3\/3 - 7*n**2\/2 - 4048*n + 2. Let h(m) = -3*m**3 + 5*m + 14. Calculate -2*h(j) - 5*q(j).\nAnswer: j**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i + 5889 = -4*k, k + 5*i + 1485 = 0. What is k rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -29*l**2 - 5*l. Let f(r) = -92 - 3*r - 2*r + 7*r + 92. Determine q(f(c)).\nAnswer: -116*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**2\/2 - 1088. Let a(z) = -21579*z**2. Calculate d(a(x)).\nAnswer: -21579*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghammhmahmmammhnmm. What is prob of picking 1 a and 1 h?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2496, -2749, -3058, -3423, -3844, -4321?\nAnswer: -4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*i - 34. Let l = 11 - i. Solve 5*s = -3*g - 18, 0*g + 4*g = l*s + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 5*j + 2. Let i be r(5). Solve 3*b - 3*v - 10 = 2*b, i*v + 3 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432384 and 90080.\nAnswer: 2161920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13299078*w**3 + 5*w**2 + 1175224*w wrt w?\nAnswer: -79794468","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8523, 68427, 231029, 547677, 1069719, 1848503?\n\"Answer: 8558*p**3 + p**2 - 5*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*(-37)\/(-37) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + 3*f**5 + 4*f**5 + 3*f**5 + 4*f**5 + 0*f**5 + (0*f**3 + 2*f**4 + 0*f**3)*(0*f - 2*f + 4*f) + f**5 + 4*f**5 - 3*f**5.\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 + 3680*b + 846400 = 0.\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4558?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 2. Let j be r(5). Let g = 11 - j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6)*(-1 + 1 - 1)*(2*t - 5*t - 4*t) + 1 - 1 - t + (0*t + 2*t - t)*(1 + 5 - 2) as h*t + x and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/4 - 61*p**3\/4 + 853*p**2\/4 - 1947*p\/4 - 7623\/2 = 0.\nAnswer: -3, 11, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/11)\/((-142)\/5670060*-165)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -168*i + 1014. Let f be u(6). Which is the closest to -0.1? (a) f (b) 7 (c) -2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19622 is divided by 1091.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from hizmhehhih?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 43. Suppose -10 = -5*s - 0*s + 5*f, 5*f = -p. Let q(d) = -3*d + 6. Let h(k) = k - 2. What is s*q(o) - 7*h(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j - j)*(1 + 0 - 3) - j - 3 + 3 + 2*j - 2*j - j + 1.\nAnswer: -6*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 608999 less than or equal to 608998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*(10\/160)\/(10\/160) - (-3 - -10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:04 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732540.\nAnswer: 2, 5, 86627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m - 8624 = 29*m - 70*m - 22*m for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2062, 2046, 2020, 1984, 1938, 1882, 1816?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/180*(2901 - 2904)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0 + 0)*(-t**3 + 2*t + 2*t**3 + 5*t**3 + 0*t**3 + 0*t**3 + 2*t**3 + (-t + t - t**2)*(-2*t + 3*t + 0*t) + 0*t - 2*t**3 + 0*t).\nAnswer: 10*t**4 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12)*y**(-3\/2)\/y assuming y is positive.\nAnswer: y**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/7, 55, 0.\nAnswer: -2\/7, 0, 1\/5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-77)\/(-30) + 12\/60 and -63\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -4. Let s(r) = 39*r - 16. Does 44 divide s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k. Suppose -10*f - 21 = -1. Let x(a) = -5*a + 2. Suppose 4*v - v - 3 = 0. Let u(z) = -z + 1. Let b(w) = f*u(w) + v*x(w). What is l(b(i))?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1372620.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 - 28*a + 10. Is g(10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -14*v**3\/3 - 2*v + 1087. Let l(i) = 36*i**2. Determine n(l(h)).\nAnswer: -18144*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 43*r**2 + 135*r + 1334. List the prime factors of s(-10).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:27 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(6) + -5)*-4)**2.\nAnswer: -160*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125978920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2\/7 - 164*o\/7 - 592\/7 = 0.\nAnswer: -37, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2378, 4706, 6970, 9170, 11306, 13378?\nAnswer: 15386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 129 = -3*o. What is the common denominator of o and -52\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by (-35)\/14*(-14 - 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * 5746042.\nAnswer: -9768271.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let o be q(5). Suppose -2*b - 10 = 0, -14*b + 16*b = 3*l + 26. Put l, 1, o in ascending order.\nAnswer: l, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/183*(-14679)\/16310*(-3)\/9*5\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180023371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, -1.3, 14\/3537?\nAnswer: 14\/3537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + z + 82011, -21*z + 82001 = 4*l - 24*z. Calculate the highest common divisor of 176 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3 - 2)*1\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902493 and 1345023.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384355196?\nAnswer: 2, 96088799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -39. Is -2\/5 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103 - -118) + 1 + (-9 - 38)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 - 219. Let n = l + 139. Let i = 844 + -828. Calculate the remainder when n is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 + 156*w + 128. What is x(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2853\/16 - 1455\/8. Calculate the common denominator of -77\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281865 is divided by 275.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177527 * -9.\nAnswer: -1597743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = -16. Let i be 8 - 3 - (-1 - g\/1). Determine t, given that -14\/3*t**3 + 6*t**i - 4\/3*t + 0 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) + (-2)\/(-6). Suppose -148*w + 209 = -383. Solve -w*r + f + 12 = n*f, -r - 2 = -f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 - 25*w - 154. Determine r(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.2 and 1.33?\nAnswer: 4.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 277661.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49198, -98404, -147614, -196828, -246046, -295268, -344494?\nAnswer: -393724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155025627?\nAnswer: 73, 991, 29789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.79996 kilometers to centimeters.\nAnswer: 5279996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*y - 3*z + 155, y - 53 = z. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 60. Let s be o(-30). Let z be (s - 0)\/(2 - 1). Solve 0 = -2*m - b - 9, z = b - 3 + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 52. Let x(c) = 10*c. Give x(j(z)).\nAnswer: 20*z - 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(504)*5 + sqrt(56) + sqrt(6776) + -1*sqrt(6776))\/(-6*sqrt(96)\/sqrt(3)).\nAnswer: -17*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 31242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 1170 = 95*t. Suppose -2*p - 2*p - 16 = 0, 3*s - 4*p - 52 = 0. Let h be 2\/(s\/t - -1). What is the greatest common factor of 40 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -3ac?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilometer in meters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/30963 and 155\/2415114?\nAnswer: 2415114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2517.6 - -2746. Let o = -178 + q. Round o to 0 dps.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12485, 25100, 37715, 50330, 62945?\nAnswer: 75560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*m - 17 = 2, -3*g = -3*m - 30. Let o(i) = -i**3 + 14*i**2 - 15*i + 25. Let u be o(g). Which is smaller: -1\/8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/4 + ((-294)\/(-24) - 12). Let a(i) = 12*i - 17. Let h(j) = j - 1. Let t(d) = -2*a(d) + 22*h(d). What is t(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1197*w**6 - w**5 - 39*w**4 + 260573*w**2 wrt w.\nAnswer: 143640*w**3 - 60*w**2 - 936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 28. Let q be f(-14). Let h be 5\/(-10)*1*q\/1. Solve -5*y + h + 10 = 3*w, -5*w = -25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 124 = -3*s - 3*y, s - 25 = -5*y. Let h(b) be the first derivative of -s*b + 15*b**2 - 5\/3*b**3 + 13. Factor h(j).\nAnswer: -5*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6092805 divided by -29721.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*f**5*r**2 - 53954*f**2*r**3 - f*r**2 - 1310968*r**3 wrt f?\nAnswer: -460*f**3*r**2 - 107908*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 4 = 0. Factor -6 - 3*d**2 + 3*d**a + d**2 + 5.\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q + 9. Suppose -42 = -0*a + 2*a. Let z(g) = 45*g + 26. Let p(d) = a*n(d) + 6*z(d). What is the derivative of p(t) wrt t?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 37\/(-6) - 2\/12. Suppose 3*a = -k*a + 3*a. Suppose 3*s = -j + 74 + 260, a = 2*j - 2. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millennium in years?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*f**2 + 8 - 1 - 3*f - 7 - f**3 to i + x*f**2 + p*f**3 + c*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438 - 251. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 <= 740012\/1745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {e: 9, s: 2, k: 1, t: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-21)*(36\/5)\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1326*t**3 - 839 + 7180*t**2 + 1104*t - 253 - 3643*t**2 - 15*t**4 = 0.\nAnswer: -2, -1, 2\/5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -0.7, 1\/54, -227.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h**3 + 22*h**2 + 11*h - 34. Let g be i(11). Suppose -47*b - g = -59*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 3*y**2 + 5 - 3*y**2 + 2*y**3 + 3*y + 0*y**2. What is p(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7591349, 7591360, 7591379, 7591406, 7591441, 7591484, 7591535?\nAnswer: 7591594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -433 or -412?\nAnswer: -412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 12\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-35 - -11)) + (3 - 18) + 66\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at least as big as -387\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 5*h. Let o(l) = -3*l**2 - 6*l. Let v(g) = -5*i(g) + 4*o(g). Let x be v(0). Solve x = 5*t - 0 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 646567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 1 - (193 - 200)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8397606 rounded to two dps?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 24*n**2 - 27*n - 5. Is q(-23) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 5*g - g**4 - 2*g**2 - 9*g**3 - 72 + 9*g**3 + 0*g to the form d*g + j*g**4 + x*g**3 + z + h*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4569 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-264359)\/(-9) + -1 + 28\/36. Suppose -22*k + 4001 + u = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/280 - m**5\/70 + m**4\/14 + 4*m**3\/7 - 2*m**2. Suppose o(c) = 0. Calculate c.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0028686 and 7993?\nAnswer: 7993.0028686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 2 + 2)*(-20*k - 24*k - 43*k) - 2*k**2 + 7*k**2 - 2*k**2 + 3*k**2 + 2*k**2 - 2*k**2 to the form c*k + x + t*k**2 and give t.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 51. Suppose -2*z - 3*c + 47 = 0, -4*z = -2*z + 4*c - 52. What is the remainder when b is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -74*a + 71*a. Suppose -a*i + 21 = -10*i. Let t(h) = -3*h + 4. Let f(w) = 2*w - 3. Let u(j) = 4*f(j) + 3*t(j). What is u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 3*a**2 - 3*a + 24. Calculate u(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 28, 51, 90, 151, 240?\n\"Answer: j**3 - j**2 + 9*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 496 and -4.6758.\nAnswer: -2319.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/5))**4\/(((q\/q**2)\/q)\/(q**15*q)) assuming q is positive.\nAnswer: q**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 - 3*d + 1. Let x(u) = -u + 10. Let o be x(6). Let l be w(o). Solve 0 = l*k - 2 + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2567*n**2 - 16*n**4 - 5*n**4 + 21*n**4 - 317*n**5 - 523*n**2 wrt n?\nAnswer: -19020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.3. Let y = 3 + 3. Let f = y + -6.4. Which is the nearest to 0? (a) -0.5 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 600*z - 172174. Calculate m(287).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 6, -0.01, -6, -2 in increasing order.\nAnswer: -72, -6, -2, -0.01, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 516, 2, -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 24*p**2 - p - 3. Let w(s) = -49*s**2 + s + 6. Let t(k) = -11*n(k) - 6*w(k). Let f be 912\/152 - (-9)\/(-1). Is t(f) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = l - 711. List the prime factors of l.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5 + 17*t**4 + 27*t**3 - 409*t**2 - 826*t - 408 = 0. Calculate t.\nAnswer: -4, -1, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534 and 1032072.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flzafllnyzf. What is prob of sequence fzaf?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16753 - -16753.3. Let g = 5\/8 + -7\/24. Which is the second smallest value? (a) w (b) 2 (c) -3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2040.2 (c) 0.16 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 3:05 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 < -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -3. Suppose 5*o - g = 8. Suppose 0 = o*b - 160 - 14. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -12416, -2\/3, -2.6, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6056, 47811, 161158, 381893, 745812?\n\"Answer: 5966*z**3 - 7*z + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.5252855 rounded to zero dps?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 533932027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 57 + 36. Let r = k + -11. Let t(g) = 4*g - 2*g**2 + 69 + 3*g**2 - 73. Determine t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 + 159. Solve i = -d*l, -2*l = -1 + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2431 + 2431.7. Which is the biggest value? (a) i (b) -54 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, -11, -138, -377, -764, -1335?\n\"Answer: -6*q**3 - 2*q**2 - 3*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/10)\/l)\/(l\/(l**(-1\/6)\/l)))\/(l**1)**(-2\/31) assuming l is positive.\nAnswer: l**(-1396\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1\/(-15))\/((-118)\/(-1475))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4189 or -4185?\nAnswer: -4189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 4*a + 8*a - 19*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/3)\/(-5)*(-45240)\/4640?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -17. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/7 + 782*a**3\/7 - 48030*a**2\/7 + 6750*a = 0.\nAnswer: 0, 1, 75, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*s + 203*s - 18 = 4*f, 14 = 4*s + 3*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*i)*(58*i - 116*i + 4600*i**2 + 58*i - 632*i**2).\nAnswer: 7936*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -89. Put 1, 15.9, 0.3, m in descending order.\nAnswer: 15.9, m, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2615?\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -807*a - 1228*a + 126170 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -407 - -418. Let f = 10 - 5. Suppose f*a + h = -9. Which is greater: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 30 - (3\/(-1) + 3). Suppose -12*d**5 - 85*d**3 - 51*d**2 - h*d**2 - 6*d**5 + 13*d**5 - 35*d**4 - 30*d = 0. Calculate d.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-42)*(-96)\/264?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 31*i**3 - 7*i**2 + 44*i - 72. What is v(2)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21742, 43373, 64950, 86473, 107942, 129357, 150718?\nAnswer: 172025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -6. Let l be (1\/2 - -1)*-2. Sort 1\/2, g, l in decreasing order.\nAnswer: 1\/2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -5 - (0 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474\/7083 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -25095*m + 276047. What is j(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29034 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 3. Let t be ((-48)\/15 - -4)\/((-3)\/(-90)). Suppose 3*x = 4*i + 6, -t*x + 10 = -19*x - 3*i. Let z(p) = p + 1. Give x*f(g) + 6*z(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3717 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 742358501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*k + 4*m, -4*k + 2 = -k - 2*m. Let p be (14 - 11) + 0 + -12. Let i = 11 + p. Solve -16 = -k*o, -2*z + o = -i*o + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-1113)\/72 + (-76 - -91)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 684 = -5*k. Let n = 16 - k. Calculate the remainder when n\/9*(7 + -1) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -1\/6*j**3 + 0*j**4 - 2*j**2 - 1\/20*j**5 + 0*j + 0. What is i(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 26\/19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047657321?\nAnswer: 3, 19, 226913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0)*(17 - (-2028)\/(-120)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.092 + 0.09199939. What is u rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16387, -33036, -49685, -66334?\nAnswer: -82983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 243 - -88. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3. Let x(p) = -156*p**2 - 14*p - 10. Let v(g) = -5*l(g) + x(g). What is the second derivative of v(r) wrt r?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 565262 = -14*p + 10*p, 4*l = -20. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/4 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 4. Let q be h(-6). Let d(z) = -4*z - 1. Let o(j) be the second derivative of -j**2 - 51*j - 3\/2*j**3 + 3. What is q*o(l) - 5*d(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 12) + 9 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(sqrt(1053) + (5 + -1 + sqrt(1053))**2 + 0)*-5.\nAnswer: 4050*sqrt(13) + 53450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1899067 or 1899065?\nAnswer: 1899065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 924061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1\/4 (c) 0.08 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1129116 times -2?\nAnswer: 2258232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (10 - 22) - 1 - 28\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*i + 21 = -3*z + 60*i + 54, -11*i + 3*i + 48 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645 and 2064.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 40 = 173 - 17 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)\/g)**(5\/6)*(g\/(g\/(((g*g**(-2\/7)*g*g)\/g)\/g*g)))**20 assuming g is positive.\nAnswer: g**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 27 = 3*b, 8534 = 3*d + b + 8501 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 2\/7, -2\/7, -5.43, -1\/24?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4452.728 millennia to years.\nAnswer: 4452728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 3*g - 0, -5*t = -g - 11. Let x be 4\/8*-10*g. Suppose 3*n - 43 = -n + x*f, -2*n - 3*f = -49. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r = 43*r + 65 - 92 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (68*a**3 - 38*a**2 + 38*a**2)*(1 + 3 - 5) + (3564 - 3564 + 66*a)*(0*a**2 + 3*a**2 - 2*a**2) as j*a**2 + g + q*a**3 + r*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27454 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42537 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/6 + (-77)\/(-84)*2. Suppose 111 - 511 = -w*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 5*v. Let o be r(-4). Suppose 0 = -4*n + 4*k - o - 8, 7 = -n + 2*k. Let x be -1 + 8\/(-4) - n. Sort -1, 6, x.\nAnswer: x, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 12*s**2 + 11*s - 17. Let u be n(11). Is u < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1129, -181, 5, -5, 0.\nAnswer: -181, -5, -1, 0, 4, 5, 1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11\/55 - (-108)\/(-15)) + 2901?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose -h*f + 196 = 2*f. What is the remainder when f is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1\/2 (c) -2 (d) 4\/9 (e) 5 (f) -159 (g) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3989462*x - 4803306 wrt x?\nAnswer: -3989462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 4 (c) -1\/3 (d) 13.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 49. Let j = 41.99983 - b. What is j rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(325 - 325 - 13*c + (-c + 2 - 2)*(-5 + 4 + 0)).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = -11. What is the highest common divisor of 46 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(363) - (sqrt(363) + -2)*2 - sqrt(363))**2 + sqrt(363) + 0 + 4).\nAnswer: -5888 + 660*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = h - 6, 4*h - 2*b + 9 - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 114*c**2 + c - 33. Let g be v(-6). Suppose 6*i + g = 448065. Round i to the nearest 1000.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.73486 decades to millennia.\nAnswer: 0.1773486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 248, 4, -22863 in increasing order.\nAnswer: -22863, -3, 4, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/7 - 5538884*b**3\/7 + 3834904495682*b**2\/7 = 0.\nAnswer: 0, 1384721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -2 + 43 + -39?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*2*sqrt(7) + 0.\nAnswer: 4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/63 - 51\/35?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:36 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/40 - q**5\/30 + q**3\/3 - 40*q**2. Suppose -4*o + 12 = -o. Let l(w) = 9*w**3 + 7*w**2 - 7. Give o*l(m) + 14*i(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p + 72. Let n be i(-8). Solve 3*j = 27 - n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**7\/35 + h**6\/30 + h**5\/10 - h**4\/6 + h**2\/2 - 3*h. Let u(g) be the first derivative of p(g). Factor u(v).\nAnswer: -2*v*(v - 1)*(v + 1)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -4635221?\nAnswer: -4635155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -5.2. Let s = -16 - -15. Put 3\/8, f, s in decreasing order.\nAnswer: f, 3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -119*x + 9293. Determine k(72).\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d + 6. Let h(m) = -2*m**3 + 9*m**2 + 6. Let j be h(d). Let b = j + 23. Put 5, b, -2 in descending order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-29 - -34 - -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/4 of a century?\nAnswer: 14700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 0)\/(14 + -11). Let q(r) be the third derivative of n*r**3 + r**2 + 0*r**4 + 1\/90*r**5 + 0 - 1\/180*r**6 + 0*r. Factor q(c).\nAnswer: -2*c**2*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35212291.\nAnswer: 35212291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17038545 divided by -3?\nAnswer: 5679515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c + 10, -3*c = 3*v - 36. Let d be (-13 - 8159980) + v*-1. Round d to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q + q**3 + 3*q - 2*q**3 - 3 - 2*q**2. Let a(w) = -w**3 + 5*w**2 + w - 14. Let o be a(3). Suppose 0 = o*c - 9*c - 6. Determine g(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1908 = 5*q, -2*f - 956 = -0*f + 2*q. Let w = f - -2418\/5. Calculate the common denominator of 51\/71 and w.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 12:02 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*s + 3*s. Suppose -195 = -47*t + 82 - 89. Find n, given that 37*n**5 - 17*n**5 - 28*n**3 - 4*n**2 - 12*n**2 + 4*n**2 + s*n + 12*n**t = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 = -3*j, 0*z + 3*z - 8 = 4*j. Solve -5*x - 5 = -z*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -11*u. Let y(g) = g**2 + g + 3. Let r be y(u). Suppose h = r, -f + 15 = f + 3*h. Solve 0 = 5*j + f + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21.2 (b) -3\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -5\/3, -18 in descending order.\nAnswer: 1\/10, -5\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49948?\nAnswer: 2, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33843*y**2 - 34089*y**2 + 67949*y**2.\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -5, -11\/5 in descending order.\nAnswer: 2\/17, -11\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c**2 - 7*c - 4. Let s(h) be the first derivative of 3*h**3 + 4*h**2 + 5*h - 2. Let k(i) = -6*j(i) - 5*s(i). What is the units digit of k(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47549643.\nAnswer: 3, 2239, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/462)\/(14\/49).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 6. Let p(o) = -o**3 - 11*o**2 + 2*o + 15. Let m be p(-11). Let q be t(m). Let i(b) = 4*b + 2*b**3 - 4*b. Calculate i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35 + 110\/11)*(-9)\/15. Solve -15 = -33*b - f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84189418 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -200 + 1?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.24871 not equal to 67\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 169*d + 346. What is w(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12218?\nAnswer: 2, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let f(k) be the third derivative of -k**6\/72 + 3*k**3\/2 + 8*k**2. Let u(x) be the first derivative of f(x). Calculate b(u(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -200101221 (base 3) to base 16\nAnswer: -3469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 9. Let i be h(14). Suppose 5*n = i*r + 45, n + 2*n + 2*r - 22 = 0. Solve -n + 2 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-7 - 3) - (4 + -47 + 4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/5175?\nAnswer: -2\/5175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/44*-48 - -4*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/977 + 2876\/4885. What is s in 9\/5*s**3 - j*s**5 + 0*s**4 + 0 + 0*s - 6\/5*s**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000068061 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**5\/15 + k**4\/6 - 4*k**3\/3 + 52*k**2. Solve s(o) = 0 for o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p + 77*p + 15 = 0. Solve 5*z = -p*h - 7, 3*h = -z - 6 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*-2*18\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 3*i**2 - 7*i - 1. Let k be o(5). What is the greatest common factor of k and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87*-1.35.\nAnswer: -117.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > 790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -346162*l**3 - 3*l**2 + 10*l + 1590?\nAnswer: -2076972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19840 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*l, 689*q + 682*q + 5*l + 94 = 1375*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -2*n**5\/5 + n**2\/2 + 15*n. Determine u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:46 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/25)\/((-1)\/(-5)). Is 3 a factor of 2 + g - (-1 + -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18)*q*q*q**17 assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/173445 and 44\/3850479?\nAnswer: 19252395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -15*d + 32. Solve -2*j + 3*l = 4, d*l + 0*l = -4*j + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/3 and -99\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 2*x**4 - 2*x**4)*(4*x - 6*x + 3*x) - x**5 + 2*x**5 + 0*x**5 + 5697*x**5 + 5251*x**5 - 10064*x**5 + (2*x**5 - 4*x**4 + 4*x**4)*(1 + 1 + 1).\nAnswer: 890*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3617383*o - 1. Let x(r) = -20*r**2. Calculate i(x(l)).\nAnswer: 72347660*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5394.87kg to milligrams.\nAnswer: 5394870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1098*f**3*p**2*y - 15*f**3*p + 2*f**3*y - f**3 + f**2 - 1064*f - p*y with respect to p.\nAnswer: -2196*f**3*p*y - 15*f**3 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:10 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 8 = 8*n + 3*b, 4*n - 2*b - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 + -19 + (-2 - -3) + 5. Is g >= -9\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136525204 and 2372.\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/k**38)\/k)))**(-1\/5)\/(k*k*k*k\/(k\/(k\/k**1))*k)**19)**(-5) assuming k is positive.\nAnswer: k**342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 v when three letters picked without replacement from vrrrrvrrr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bluxbbquuubbuub. Give prob of picking 1 b, 1 x, 1 u, and 1 l.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -35. Suppose 3*w - r - 52 = 0, -3*r = 3*w - 62 + f. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3159 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(22)\/(-1*sqrt(162)) - ((sqrt(99) - (-4 + sqrt(99) - sqrt(99))) + 4))**2 + -1).\nAnswer: -54908\/81 - 1792*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/120 - u**5\/20 + 5*u**4\/24 - u**3\/2 + 2*u**2. Let z(m) = -m - m + 3*m - 10 - 2*m. Let g be z(-6). Calculate a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (21\/4)\/(225\/3000) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*0*2\/(-20). Let b(y) = 2*y**2 - 7. Let c(f) = f**3 + f**2 - f + 1. Let z(j) = -b(j) + c(j). Calculate z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.05 + -4. Let k = -106 + 106.4. What is the nearest to -2\/7 in x, -2, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(243)*-3 + 3 - (sqrt(2592) + (sqrt(2592)*-2 + sqrt(2592) - sqrt(2592)) - sqrt(2592))\/(sqrt(6) - (sqrt(150) - sqrt(150)*-1 - sqrt(150))).\nAnswer: -60*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = 2*m, 1 + 0 = 3*l + 4*m. Solve 2*f = l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 263\/5. Let n = -3188 + 3183. Let v = -1 + 1. Sort n, j, -1.7, v in increasing order.\nAnswer: n, -1.7, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 2*o - 4 + 9 + 4*o. Is u(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/12 + 4*i**3 - 31*i**2 - 2*i + 63. What is the units digit of u(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykk when three letters picked without replacement from kykyykyy.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(10\/7)*(d\/((d\/(d**18*d))\/d))\/d)**(12\/7))**(-8\/5) assuming d is positive.\nAnswer: d**(-2880\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.13673 - -6.87017. Let k = t + -54. What is k rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6*c**4 - 10*c**4 - 2*c**4 - 4*c**4 + c**3 - 4*c**4 - 2*c to x*c**4 + f*c + h*c**2 + w*c**3 + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1065236563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 847810 + 12?\nAnswer: 847822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226*i - 106*i - 108*i + 3)*(-3 - 9 + 3).\nAnswer: -108*i - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*(8 + -2). Let p be 2\/(y + -2) + 0. Let r = 0.6 + -0.4. Sort r, 0.4, p in increasing order.\nAnswer: r, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 176 - 33*q**2 - 353 + 177 - q in the form t*q + i + l*q**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1490 divide 3847562713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2712)\/(-2) - (11 - 14 - 1).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -9*t**5\/2 + 189*t**4\/8 - 2*t**3\/3 - 31*t**2 - 8*t - 312. Let f(y) = 0. Calculate y.\nAnswer: -2\/3, -2\/15, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/5 + 4732*u**4\/5 - 2779996*u**3\/5 - 22443832*u**2\/5 - 59091234*u\/5 - 50722884\/5 = 0.\nAnswer: -3, -2, 1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*s**2 + 3)*(4 - 2 + 0) - 11*s - 2*s + 20*s + 7*s**2.\nAnswer: 3*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, -68 in decreasing order.\nAnswer: 13, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hriursiz. Give prob of sequence rrsz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/f**8*f)*f)*f**(-2)*f\/((f*((f\/f**(-7\/5))\/f)\/f)\/f)*((f*f**(-2\/13))\/f)\/f assuming f is positive.\nAnswer: f**(-621\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*n + 4*r - 62, -2*r = -10. Let w be (-132)\/28 + (1 - n). What is the closest to -1 in w, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 4:47 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 4 - (1 + -3). Suppose -x - 4*w = -2, -4*x = -3*w - 88 - h. Let u be (-32)\/12*((-693)\/(-6))\/(-7). Calculate the greatest common factor of u and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 7791276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 397789*x + 158236088521\/2.\nAnswer: (x + 397789)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x - 44 + 173 = 0. Solve x*u = 2*c - 6 + 7, 2*u - 7 = -5*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -1354.55954?\nAnswer: -1355.55954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/7))**7 assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1619 - -8002. Let n = 9575.69 - z. Let q = n + 45. What is q rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*d**2 - 38*d**2 - 3*d**2 - 69*d + 29*d**2 to the form a*d**2 + u + q*d and give q.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -6*a + 3\/2*a**2 + 11. Let z(s) = -2*s + 3. Let b(x) = 10*x - 14. Let j(l) = -2*b(l) - 11*z(l). Calculate 6*j(n) - 5*r(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/8))**(-5\/2) assuming v is positive.\nAnswer: v**(5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:14 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 k when three letters picked without replacement from {x: 2, k: 2, y: 1, f: 4, a: 1, b: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*u + 86*u + 6*u - u**2 - 33*u.\nAnswer: -u**2 + 139*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -13. Let z be (-2 + 4)*(-6)\/16. Put z, o, -2\/5 in descending order.\nAnswer: -2\/5, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(81\/(-18) + 4) - -4. Which is the smallest value? (a) -3\/2 (b) 2\/7 (c) 2\/9 (d) j (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 22*j + 39. Give x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 662?\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1\/5, -25\/2, 2\/17, -10\/21, -0.5?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*k**3 + 505*k**3 - 248*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61224075, 61224076, 61224077, 61224078?\nAnswer: 61224079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*j**3*y**3 + 66143*j**3*y**2 + 3*j**3 - 140*j**2*y**3 + 2*j**2*y - 2*j*y - 16*y**3 + 23*y**2 + 374*y wrt j.\nAnswer: 276*y**3 + 396858*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 58, 1, 4, 23 in ascending order.\nAnswer: -3, 1, 3, 4, 23, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 81*v = 65. Let w = 0 + 0. Suppose h + w*q = -q, -v*h + 8 = -3*q. Solve 0 = d + o, 0 = -d + o + h + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/175182 and -31\/802578.\nAnswer: 34510854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)\/f)\/f**(1\/17))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(1539) + (sqrt(1539) - (sqrt(1539) - 2*(0 + sqrt(1539)))))*-3)**2*1.\nAnswer: 2916*sqrt(19) + 124983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.188, -103508, 0.5, -3\/8 in descending order.\nAnswer: 0.5, -0.188, -3\/8, -103508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78120656 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/11)\/((-28)\/6538). Let o = g - -170. Which is the second biggest value? (a) 3 (b) -0.05 (c) o (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62451*p - 187354*p + 5 + 62446*p - 5 + 62450*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 3*y - 3*y + 3*y + 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77215 is divided by 356.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*m**2 + 1128002\/7 - 3004\/7*m.\nAnswer: 2*(m - 751)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06399 - -0.0595. What is r rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d. Let m(q) = -3*q - 4. Let i(c) be the first derivative of 2*c**2 + 5*c + 1. Let b(h) = 4*i(h) + 5*m(h). Give b(x(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 2*n + 5*n)*(2*n**2 - 5*n**2 + 2*n**2) + (0*n + 7*n - 4*n)*(7 + 3*n**2 - 28 + 13) + 27*n - n**3 - 27*n to p*n**2 + v + s*n + m*n**3 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21773277?\nAnswer: 3, 17, 101, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 1. Suppose i - 10 = -y*q, 5*i + 16 = -6*q + 3*q. Differentiate -a + q*a + 0*a + 1 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 10*m**2 - 24*m + 3. Let p be a(12). What is the highest common divisor of p and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 2, r: 2, a: 2}. What is prob of picking 1 a and 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**3 - 1338*u**2 - u - 9338.\nAnswer: 3*u**2 - 2676*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/31 (b) -1180 (c) 3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 7*q + 2. What is the tens digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 16*q - 232\/7.\nAnswer: 2*(q - 2)*(q + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29633157 + 21284*b**2 + 12928*b + 21292*b**2 - 42574*b**2 - 8741509.\nAnswer: 2*(b + 3232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k + 36*k = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 2654242000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 4. Let d be v(8). Suppose 0*l - 8 = 4*l, d*s + l - 62 = 0. Let n(w) = w + 4 - 4 - s*w. Let t(j) = j. Calculate t(n(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2802 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395329433?\nAnswer: 419, 433, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.45 (b) 5036 (c) -3 (d) 4 (e) 0.5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -21*n**4\/4 + 2*n**3\/3 + n**2 + n - 1629. Calculate s(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**5 + 139*q**4 + q**3 + 1673*q + 1?\nAnswer: -60*q**3 + 1668*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 - 4*q**3 + 0*q**3)*(4*q**2 - 4*q**2 + 13*q**2) - 37*q**3 - 72*q**5 + 38*q**5 + 37*q**5.\nAnswer: 29*q**5 - 37*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5068 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23524 divided by 11762.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 176, 175, 174, 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227971, -455926, -683863, -911782, -1139683?\nAnswer: -1367566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93728.248 rounded to the nearest ten?\nAnswer: 93730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49597, 48500, 47403?\nAnswer: 46306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 39*l - 2436 = -0*l. Calculate the remainder when 1735 is divided by l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1426194*f**4 + 24*f**2 + 1426194*f**4 + 3*f - 83*f**5 wrt f.\nAnswer: -4980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -263, -338, -459, -650, -935, -1338, -1883, -2594?\n\"Answer: -4*s**3 + s**2 - 50*s - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3412215 and 150066?\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 + -156.6. Which is the third biggest value? (a) -0.1 (b) g (c) -0.6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n - 1286 + 904 = -4297 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (895 + 3)*-1*4\/8. Let n = -70 - i. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1422)\/(-20)*-2 + -1 - (-1915)\/((-1819250)\/(-1140))\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50324 greater than -50288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251 by 10817.\nAnswer: 251\/10817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**5\/6 + 5*f**4\/2 + 95*f**3\/6 - 105*f**2\/2 - 45*f + 180 = 0.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-4800)\/(-56))\/10)\/(14\/(-588)*-12)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*g = -488*g - 123993 - 924071. What is g rounded to the nearest 1000?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(39\/1989).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25527.502 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 4) + (0 - 3). Let z be 5\/(-30)*-6*-1. Let h be 3*(1\/(-1))\/z. Put 2, h, j in descending order.\nAnswer: h, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from mbxhmehxxehqebxbhxx.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15886, 31776, 47678, 63592?\nAnswer: 79518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13453374497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbfy when four letters picked without replacement from lbylbzylbbybbfbbzb?\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsmfoormoosr. What is prob of sequence mor?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = -16*a - 238. What are the prime factors of 6*(12\/a + (-39)\/(-14))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 - 3765*r**2 + 732600*r - 8898500 = 0.\nAnswer: 13, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:06 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*6*(-10)\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*k = -278 - 22, 5*k - 120 = -2*y. Let t(c) = 22*c**2 + 2*c + 3. What is the remainder when y is divided by t(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 7*k**2 + 4*k - 6. Let u be n(-5). Let y be (u\/(-30))\/(4\/70). Let q = y - -49. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*q**4 + 2*q**2 - 247*q + 32002 wrt q?\nAnswer: 92*q**3 + 4*q - 247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26244 and 1401354?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 94*v + 688. Let s be t(8). Let y(c) be the second derivative of 0*c**3 + 13\/12*c**4 - 28*c + s - 9\/2*c**2. Differentiate y(j) wrt j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43814?\nAnswer: 2, 19, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 7*f + 6. Let l be b(-6). Let t = -5\/114 - -2\/57. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -815*c + 820*c + 21, 5*c - 5*t = -5. Sort -5, 1235, c.\nAnswer: -5, c, 1235","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = 0, -7 = -t + 3*y + 2*y. Suppose -4*v - 22 = 2*f, t*f = -2*v + 3*f - 5. Let g = 5 - 5. Which is the biggest value? (a) v (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**1*p*p))**(-1\/7))**5 assuming p is positive.\nAnswer: p**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*d - 2*d - 2*p, 4*p + 25 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*b - 4*h, -2*h + 6 = -2*b - 14. Let g be (-1)\/(b\/6 + 1). Solve 4 = r - 3*j, 3*r + j + 4 = g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0560205 - 0.056. Round k to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 132\/(-4)*1. Let x = v - -36. What is the first derivative of -a + 12*a**4 + 14 - a + x*a wrt a?\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -88*v**2 - 4*v - 5. Let y be j(-1). Let n = y - -99. Calculate the remainder when 37 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 3*j**2 + 3*j + 3. Let c be y(3). Solve -36*h + c + 17*h**2 - 2*h**4 - 13*h**2 + 35*h**2 + 5*h**4 - 18*h**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:07 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 4. Let k(f) = 34*f + 1. Let v be k(-2). Let z be -30 + 12737\/141 - (10\/(-6) + 0). Let x = v + z. Determine m(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4775 and -401.\nAnswer: -191.4775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/2*(-1)\/3. Let h = 14 - 13.8. Suppose 4*x = -7 - 1. Which is the nearest to h? (a) l (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1125*a**3 + 159239175*a**2 + 5634994030895*a + 5634834792845 = 0. What is a?\nAnswer: -1061587\/15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/120)\/(8 - 168\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*t**3 + m**3*t + 3*m*t + 275*t**3 - 80 wrt t?\nAnswer: -6*m**3*t + 1650*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) - (-1606)\/14. Let a = -76 + f. What is the highest common divisor of 234 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -15*j + 234. Determine u(19).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a + 8. Suppose a*b = -b + 20. Solve -3*u + 10 = -5*c - 0*u, -2*c - 3*u - b = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/8 - (-2)\/8. Let x be (-17603 + j)\/((-1)\/50). What is x rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/49411672 and -22\/6176459.\nAnswer: 49411672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3284, 3279, 3274?\n\"Answer: -5*r + 3289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29760609 to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7899373032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017435434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8500*r**2 - 1107*r**2 - 3006*r**2.\nAnswer: -12613*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1*sqrt(66)\/sqrt(6))**2 + sqrt(11) + -4.\nAnswer: sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394894 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k + 3. Let q(m) = m + 2. Let s be q(-5). Let z be b(s). Let h = -185\/4 - z. Is h < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, -1, 13, -118, -3 in ascending order.\nAnswer: -118, -3, -2, -1, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*h - 30. What is the highest common divisor of h and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:58 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 13*j + 23. Let r be y(-11). Suppose 3*d - 3 = -0*w + 2*w, -3*w + d = -6. Let k = w + r. Put k, -1\/6, 5 in descending order.\nAnswer: 5, k, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 12) to base 11\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/7 + 32728*x**2\/7 + 56136*x + 1179072\/7 = 0.\nAnswer: -6, 16376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -436984.8 at most 30\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275039211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20238 by 25.\nAnswer: -20238\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/2369 - -82899\/18952. Let j = -1082 + 7541\/7. Calculate the common denominator of r and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 695\/(-690) - (-1 - 0). Let b = h - 259\/2346. Let w = 0.46 - -2.54. Put -4, b, w, 0.2 in ascending order.\nAnswer: -4, b, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u = 0. Suppose u = -v + 8. Suppose 2*o - 106 - 2 = 0. What is the lowest common multiple of o and v?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -5*t + 85, 27*t = -4*i + 30*t - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30556.71 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194273.396 - -193861. Let c = -3.596 - i. Round c to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2637529, 2637585, 2637641, 2637697?\nAnswer: 2637753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 40 + -12 + (12 + -4 - -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/60*-5*((-5780)\/(-105))\/(-17).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -1244348\nAnswer: 3\/177764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**2 + 3*y**2 + 3*y**2)*(18*y + 15*y + y + 29*y).\nAnswer: 945*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 702, 2807, 6314, 11223, 17534, 25247?\n\"Answer: 701*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 160 = -3*z, 5*h + 0*h - 121 = -2180*z + 2213*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14313*u + 12*u**2 + 7154*u + 7152*u.\nAnswer: 12*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(228)*-1*-3)\/(-1*(sqrt(24)\/(sqrt(2) - sqrt(50)) - sqrt(12) - sqrt(12))) + 0)**2*-2.\nAnswer: -2432\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 831137423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2860 and 107\/286.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1348, 1328, 1292, 1240, 1172, 1088, 988?\n\"Answer: -8*u**2 + 4*u + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 0 - 3 + (1 - 2 - 1)*(5 - 2 - 4) + 2 - 2 - 1 + 0 + 0 + 2 + 1 + 1 - 1)*(2 - 2 + p) - 2 - 4*p + 2 in the form d + n*p and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8970172769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 30. Let p = -26 - s. Let h(k) = -1 - 4 + 2 + k**2 + 5*k. Determine h(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**3 + y**2 - 1. Let s(j) = 7*j**3 - 5*j**2 - 6*j + 20. Give 5*o(k) + s(k).\nAnswer: -13*k**3 - 6*k + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-16 - 11 - -9) + 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8*r)**(-2)*(r\/r**(-4\/11))**40 assuming r is positive.\nAnswer: r**(402\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4344*i + 79. Is x(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/16 and 89\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hud when three letters picked without replacement from uddddhyuduu?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*a - 0*a + 135, 5*x + 83 = 2*a. Sort a, 2, 1.\nAnswer: 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - 15*f. Let o be i(5). Solve 2*a - 10 = -o*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 28ab?\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0038 + 1441.9962. Let w = t - 1442.01651. Round w to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/210*-2 + (-44)\/(-21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236 and -0.07?\nAnswer: -16.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -21092085.\nAnswer: 63276255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -18*o + 13*o + 3*b, 0 = 3*b. Solve 4*t - o = t, 17 = -2*i + 3*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 891610 and 176806263.\nAnswer: 1768062630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180690 = 2*a + 5*y, 2*a = -580*y + 583*y + 180626. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 55*j**4\/6 - 3*j + 424. Let a(f) = 12*f**2. Determine r(a(o)).\nAnswer: 15840*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185136 + -185116. Suppose -s - 3*s = -4*g + 3456, -g + 844 = 4*s. What is the greatest common divisor of g and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 5)*(2*k - k + 0*k)*(-k + 0*k - k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 122)*(2 + 1 - 5)*(-1 + 2*j + 1)*(0 - 5 + 4).\nAnswer: -488*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*v - 10935 = 176*v + 3660 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*y + 2*f**3*x*y**2 - 6*f**3*x - 2*f**2*y**2 - f**2 + 28*x*y wrt f.\nAnswer: 24*f*y + 12*x*y**2 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 6*d + 28, 5*u + 244*d - 248*d = -26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -44565 (base 8) to base 4\nAnswer: -10211311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 11*n + 6. What is m(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {r: 6, j: 1, y: 1, e: 1, p: 1, t: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let j(d) be the third derivative of -1045*d**4\/24 + d**3\/2 - d**2 - 5644*d. Calculate j(f(v)).\nAnswer: 1045*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-2\/3)*d*d)\/(d**2*d))\/(d**(-3)*d**(1\/2)) assuming d is positive.\nAnswer: d**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 33*u - 29. Let h(t) = -5*t**2 + 67*t + 58. Let a(r) = 4*h(r) + 9*l(r). Determine a(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27505786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-68) - 1056\/(-2040). Which is the nearest to -4\/9? (a) -10 (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76857 and 13566?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*b + 152, 5*r = -0*r + 3*b + 253. Let z = r + -15. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2, 23311 in increasing order.\nAnswer: -3, -1, 2, 23311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 33792?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - 2*(1 + sqrt(1872))) + 3 + sqrt(1872) + 3 - (sqrt(52) - sqrt(1300) - (sqrt(13) + 3*sqrt(13)*4 - sqrt(13)))*-4)**2.\nAnswer: -640*sqrt(13) + 83216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -457*i**2 + 41*i + 6. Let r(f) = -2*f**2 + 2*f - 1. Let g(t) = -m(t) + r(t). Find the second derivative of g(b) wrt b.\nAnswer: 910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g - 2*g**2 - 5*g - 1 - 5*g to i + t*g**2 + x*g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 198\/4*(-20)\/(-6). Suppose 0*n - 4*n = 3*s - 220, 0 = 3*n + s - i. Calculate the remainder when n is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3396297*k**4 + 427*k**2 - 2*k + 42 wrt k?\nAnswer: -81511128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -6 - -3*67*(8 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 51739.66 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 21\/2?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(40\/(-45)))\/((-3)\/2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 0. Let t = -7.48 - 0.02. Let w = t - z. What is the third smallest value in -2\/15, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -20, 18, 70, 136?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6555184889 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1853a - 1?\nAnswer: -1853b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -325337, -325339, -325351, -325379, -325429?\n\"Answer: -t**3 + t**2 + 2*t - 325339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 - 1848*d = 0. Calculate d.\nAnswer: -462, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1428 is divided by 457.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(2 - 1 - 3) + 0 + 2 - 1 + 2 - 1 + 3 + 3 + 3 - 5 + (-2 + 0 + 4)*(-2 + 5 - 4) + 2 + 1 + 0)*(-5*y**3 + y**3 - 25*y**3).\nAnswer: -261*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 1320 = s. Sort 3, s, 1 in descending order.\nAnswer: s, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f - 6. Let h be z(9). Let i = h - -45. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*6\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*o - 5, -3*w + o + 0*o = -15. Calculate the least common multiple of 10 and -2 + 1 - (-25)\/w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let u = -1.2 - -1.1. Which is the closest to u? (a) -2 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32494 and 804754?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*y**3 - 96 + 42 + 53)*(11*y - 32*y - 14*y).\nAnswer: -1225*y**4 + 35*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-495)\/18*(-483)\/3795\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 4:53 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.1 + -42. Let f = -324 + 324.3. Let s = k - f. What is s rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/((v*(v*v**(4\/5))\/v)\/v*v*v))**(-21)*(v**(5\/6)\/v**5)\/(((v*v**(2\/17)*v)\/v)\/(v**(4\/5)\/v)) assuming v is positive.\nAnswer: v**(70031\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3 - 38112*n**2 - 190476*n - 152368 = 0.\nAnswer: -9523, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66803917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3834 and 8436504.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21825 by -4365.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.76 + -3.092. Round c to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93232 + -1.8\nAnswer: 93230.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*c = -91887, -29*p + 91838 = -25*p - 2*c. What are the prime factors of p?\nAnswer: 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.308682ml to litres.\nAnswer: 0.008308682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/1848 + 19*d**7\/1155 + 26*d**6\/165 + 8*d**5\/15 - 2*d**2 - 76*d. Determine n, given that f(n) = 0.\nAnswer: -11, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/30 - 3*g**5\/50 - g**4\/20 + 2*g**3\/15 + g - 3. Determine o so that h(o) = 0.\nAnswer: -4\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 1, v: 2, r: 1}. Give prob of picking 1 t, 1 v, and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1121 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632430 = -11*n - 6430570. Round n to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*t + 78*t + 929*t**2 + 359*t**2.\nAnswer: 1288*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 156 = -3*k. Calculate the highest common divisor of 32 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -386, -384, -374, -350, -306, -236?\n\"Answer: v**3 - 2*v**2 + v - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocvccooocvcav. What is prob of sequence ac?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -394*((-5 - 4) + 8). Let i = 392 - a. Sort i, 5, -1, 4.\nAnswer: i, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*o - 65, -7*o + 4*y = -2*o - 58. Suppose 23*f - 200 - 809 + 204 = 0. Calculate the highest common factor of o and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12310, 11127, 9942, 8755?\nAnswer: 7566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/7, 0.188147, 6?\nAnswer: 0.188147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + 126. Suppose s = 9*f - 751 - 1301. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256.89 + -271.1. Let h = -0.21 - d. Let c = h + -14.1. What is the biggest value in c, 5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158982466 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2, -v - 2*v = g + 4. Let b = -1265 - -1206. Let s = b + 67. Calculate the least common multiple of g and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5084191 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 382 (c) -18\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82990*i + 97688 wrt i.\nAnswer: -82990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15975)\/(-105) + (-18)\/(-21). Calculate the highest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f + 479 - 458 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (10 - (-37 - (-4 + -12 + 5)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3062 + 3063. Let p(w) = w + 2. Let c be p(0). Let b = -5 + 8. Solve i + b - j = 0, -c*t = -5*i - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615633?\nAnswer: 3, 205211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(539) + -1)*5*-6 + 2 + -1)**2.\nAnswer: -15120*sqrt(11) + 486396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 518695 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:43 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2279*t + 2292*t - 21840 = 0. What is the least common multiple of 1540 and t?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35468 - -50968. Round o to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-153)\/(-102)*1*(-4)\/10. Put 0, -4, z, -2\/3 in ascending order.\nAnswer: -4, -2\/3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*v + 8 = 0, 3*v = -2*y - v + 8. Let u = 7 - y. Solve z = 0, u*z - 15 = -9*k + 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6575.2 from -2120.11.\nAnswer: -8695.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:19 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442431 (base 5) to base 8.\nAnswer: -36006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 + 0*v**2 + 8 + 3*v**2 - 8 + (-2*v - 1 + 1)*(0*v - v + 0*v) + 4*v**2 - 4*v**2 - 4*v**2)*(135*v**2 - 67*v**2 - 61*v**2).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/10 and 85\/226.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 559*o**3 + 536*o**2.\nAnswer: 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 83962.47 nanograms?\nAnswer: 0.00000008396247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-34))\/a)\/a*a\/(a\/(a**10\/a))*a assuming a is positive.\nAnswer: a**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 6*f - 6. Suppose 3*h + 15*h = 36. Suppose 3*k + 17*b - 18 = 16*b, 1 = h*k - 3*b. What is s(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:52 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**23*t))\/(t*t**(-4\/3)) assuming t is positive.\nAnswer: t**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 14. Let k = -13 + c. Let y = 0.6 + -5.6. Sort y, 3, k in ascending order.\nAnswer: y, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226 divided by -226\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.03, -3\/7, -2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from stfux?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, f: 1, z: 3, d: 2, k: 9}. Give prob of sequence fzz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -10222111?\nAnswer: 10222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100981.\nAnswer: 100981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/(o\/(o*o*o**(-5\/4)))*o*o**(2\/15)*o**(-6) assuming o is positive.\nAnswer: o**(-187\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -i + 3*l - 13, 4*i - l = -52. Let c(z) = 2*z + 32. What is the smallest common multiple of c(i) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i. Let y(a) = 12039282*a. What is h(y(k))?\nAnswer: -36117846*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 96.3 and -0.04?\nAnswer: -3.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 750994716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -252 + 237 - (-12 - (-4 + -61))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:29 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (0 + 4) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1158*z**3 + 640*z**2.\nAnswer: -6948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 smaller than -275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*k)*(3 - 2 - 3)*(1 + 3 + 0) - 16*k - 7*k - 14*k.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13976547?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3573 and 3357.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - -29b287?\nAnswer: 29b268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 - 27*k + 189. Is h(-37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-48)\/(-81)) + 7. Let j = 47 + -140\/3. What is the closest to -1\/13 in j, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from lwlp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 1 + 2*w - w)*(w + 5*w - 3*w)*(2 + 1 - 4) as a + z*w + o*w**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -134763, -237703, -340645, -443589, -546535, -649483, -752433?\n\"Answer: -s**2 - 102937*s - 31825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 623399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -407361, -407362, -407363, -407364, -407365, -407366?\n\"Answer: -z - 407360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 56*n - 542. Determine b(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -34*h**3 + 3*h**2 + 5*h + 6. Suppose 14*z - 436 = 10*z. Suppose 4*p = -85 + z. Let d be x(p). What is d rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117589950 divided by 151925\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:34 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61.96 + 1.04. Let t = 62 - r. Sort t, 4, 0.6 in ascending order.\nAnswer: t, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5937 is divided by 743.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s + 4791 = o, 3*o + 15 = 0. Let i = -848 - s. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 4*r**2 - 4*r**2 - 4*r**2 - 2659 + 12*r**2.\nAnswer: r**3 - 2659","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 + 5*i**2 + 10*i - 79. Calculate h(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {o: 13, y: 6}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 90 - (-320 + 269).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b - 1. Let x(c) = 5076*c + 2. Calculate 3*d(a) + x(a).\nAnswer: 5058*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 - -177. Let p(l) = 3*l**2 + 7*l - 9. Let a be p(r). Solve -5*t = a - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20.7 and 190.\nAnswer: 169.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1 - (-1 - 9). Let q(y) = y**3 - 9*y**2 + 7*y + 6. Let j be q(s). Let z(m) = -m. What is z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*n = -121703 + 122143 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -4*l - 3*w, -4*l - 5*w = -25. Suppose 2*t + 9 - 3 = l. Let o(k) = -k + 1. Let c(z) = -z + 1. Calculate t*o(p) + 4*c(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let u(w) = -w + 1. Let i(m) = -2*h(m) + u(m). Let o be i(-1). Let v(d) = -5 - 1 + 0 + 7 - 3*d. What is v(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 132\/5. Which is the nearest to -0.1? (a) -3 (b) u (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 21. Let y be u(6). Suppose y*i = -s - 7, -2*s + i + 10 + 11 = 0. Solve 5*c = -2 - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1386 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003838843409 rounded to seven dps?\nAnswer: -0.0003839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let v(b) = b**3 + 3*b**2 - 6*b - 2. Let r be v(y). Find the second derivative of 10*w + 4*w**3 - 7*w + r*w**5 - 4*w**3 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592752347 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41648548 to the nearest integer?\nAnswer: 6454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0044, 0.5, -3, 1\/11 in decreasing order.\nAnswer: 0.5, 1\/11, -0.0044, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/14)\/(2\/(-7)). Let j(x) = -114*x**2 - 109*x**i + 222*x**2. Let h(b) = b. What is h(j(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3813330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0618 + 3.9382. Let t = -28\/75 - -1\/25. Which is the second smallest value? (a) t (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.32 - -0.82. Let j = 48.02 + -48. Put 0.4, b, j in decreasing order.\nAnswer: b, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -486c (base 16) to base 5\nAnswer: -1043130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = -5*c, 2*c + 7 = 3*c - 2*v. Let f be (-11)\/1 + (-3)\/(-1). Let q = f + 6. Sort q, 0, c.\nAnswer: q, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/(-15) - (-51)\/(-85) - 2. What is the closest to -3\/31 in 0.5, -0.2, -2\/9, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 596547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*y - 40 - 55, -5*c = 3*y - 90. Solve -d = -15 + c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -5830970\nAnswer: -23\/5830970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*q = 2*n + 13, -2*q = -3*n - 7. Let u = 0.042 - -2.958. Let g = 1 + -1. Which is the nearest to g? (a) n (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -3024?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*r + 1 - 1)*(-5 + 0 + 3) + r - 3*r - 2*r)*(5*r**3 + 15*r**3 + r**3) + 3*r**4 - 4*r**4 + 3*r**4 + 3*r**3 - 3*r**3 - r**4.\nAnswer: -293*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*p + 18 + 14 = 0, 5*l - 4*p = 45. Let s = 11 + l. Let i = 0.862 + 0.138. Is s >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -243555, 3 in increasing order.\nAnswer: -243555, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, o: 9}. What is prob of sequence ooo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -y - y. Let q(l) = l**2 - 5*l + 5. Let b be q(y). Let w(t) = 3*t**2 + 4*t + 4. Let x be w(-3). Solve -1 = -b*a + x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfcrpppf. Give prob of picking 1 r and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*c - 2*c - 483 + 471, -4*h + 67 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -7)*(1143\/18 + 7). Calculate the greatest common factor of m and 611.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:43 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4556 - 2804. Calculate the common denominator of (1\/9)\/((-16)\/c) and 2\/36*37*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32228 is divided by 103?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + (-8 - (-4 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-33))**12*(w\/((w**(-2\/3)\/w)\/w))\/(w*w**(-3\/4)\/w*w*w) assuming w is positive.\nAnswer: w**(4925\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*m + 389*m = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848992?\nAnswer: 2, 57781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -4*sqrt(76))*-5*-1)\/(-2*sqrt(44)\/(sqrt(275) - sqrt(11))).\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37859 + 312598. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m + 7. What is the remainder when z(6) is divided by (-35)\/((-15)\/3) + (-19 - -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 27. Let x be (5 - 0\/g) + -2. Suppose -j + x = b, 3*j + 4*b = 3*b + 13. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3400472 - 10681838 = -110*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 2. Let v(w) = -1 + b - 2. Let h(s) = 2*s - 3. Let y be 56*110\/(-880) - (0 + 2)\/(6\/(-9)). Give y*v(j) + h(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3 - 179385*s**2 + 358782*s = 0?\nAnswer: -59797, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {v: 1, y: 1, m: 1, q: 1, h: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0261246 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66028 + 66028 + 467*l)*(-129*l + 268*l - 89*l) to q*l + o*l**2 + p and give o.\nAnswer: 23350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/5 (b) 3\/16 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-13)\/((-13)\/(-4)). Solve -3*u = -b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0*r**2 + 1\/6*r**4 + 0*r**5 + r - 1\/10*r**6 + 0 + 0*r**3. What is the third derivative of f(b) wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = 22*k - 1960. Let j = 211 + k. Calculate the remainder when j is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**3 + 14*c**2 - 6*c + 1. Let v(z) = -15*z**3 + 28*z**2 - 13*z + 3. Let q(u) = -13*g(u) + 6*v(u). Let l be q(14). Solve -l + 15 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 772 and 424343696?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*i**3 + 505*i**3 - 1143*i**3 + 330*i**3.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(80) - sqrt(112)\/sqrt(4) - (sqrt(847) + 1 + 4)**2.\nAnswer: -872 - 447*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2015*t + 2013*t + 22, 0 = -0*o + o - 14*t + 7*t + 87 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d - 5*d + 112 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 8*s - 7*s. What is the remainder when 122 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h + h)*(-318 + 245 + 158)*(4 + 1 - 3)*(-6*h + 2*h + 2*h) in the form n*h**2 + w + g*h and give n.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 4*b**2 - 6*b - 3. Let h be z(-5). Let r be ((-2)\/(-8)*2)\/(2\/292). Let k = r - h. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 38*f - 134. Calculate the smallest common multiple of 2 and v(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 4353?\nAnswer: 21765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.9264.\nAnswer: 3.7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.8975 millimeters to centimeters.\nAnswer: 43.58975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/((-78)\/15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 5*x**3 + 37242 + 37235 - 74477.\nAnswer: 5*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 64*v + 3. Let z(t) = -4*t**2. Give z(j(r)).\nAnswer: -16384*r**2 - 1536*r - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 2}. What is prob of sequence bn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 4034340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 22, 174233 in decreasing order.\nAnswer: 174233, 22, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16685 rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -547\/2 + 251. Suppose -7*p + 2*p + 25 = 0, 4*p = 2*r - 26. Let h = r + u. What is the closest to h in 5, -1\/6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5270622 centuries?\nAnswer: 632.47464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-9))\/((-15)\/(-36)*32\/(-40))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 641 = -15*m. Sort m, -0.4, -14.\nAnswer: m, -14, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 538, -4, 3, 4, -2 in increasing order.\nAnswer: -4, -2, 3, 4, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 197*z + 2837 + 1092 - 909 + 3875 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/15)\/d*d)\/d**(1\/2))**(-4\/5) assuming d is positive.\nAnswer: d**(38\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12153808 a multiple of 2258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12414 + -12405. What is the second smallest value in 1\/4, -1, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -95 + 97, -2*x - 1 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 7*p**2 + 8*p - 3. Suppose 0 = -z - 2*x + 3, 8*z + x - 24 = 3*z. Suppose -z*n = -33 - 52. Calculate the remainder when n is divided by o(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*o - 11. Solve -o*n - 2 = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69038\/33 - -2092. Let w be -2*(1 + (-5 - -2)). What is the biggest value in -3\/4, 1\/4, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5\/3, -1\/2, -3, 1237.4 in ascending order.\nAnswer: -5, -3, -1\/2, 5\/3, 1237.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -8, 0.\nAnswer: -8, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20590335*-3.\nAnswer: 61771005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 859564.5 years?\nAnswer: 10314774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -0.4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.5. Let x = -0.60028 + 5.60028. What is the third smallest value in 65, p, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**4 + 934*a**3*d**2 + a**2*d + 17304*d**2 wrt a.\nAnswer: -72*a + 5604*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (430\/4)\/5 + (-20)\/(-840)*21\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.77 to 0 decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.9. Let f = -6.07 - -0.07. What is the third biggest value in -3, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -84)*1\/(-2). Let a be 3\/(12\/4) - p. Let u = -18 + a. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*i = -4*i - 49, 5*x = -4*i + 84. Let n be (4 - (-2)\/2) + 0. Suppose -u = -n*u + x. Solve 5*t = -u*d - 6 + 3, -3*t + 4*d - 21 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25458 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 18*u + 15*u + 14, -v = -3*u + 4. Let n(j) = -26*j**2 + 8*j**v + 4*j**2 + 9*j**2 + 8*j**2. Let m(x) = -47*x**2. Calculate m(n(y)).\nAnswer: -423*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0*a**2 + 3*a + 0*a**6 - 5\/14*a**7 - 7\/6*a**4 + 0*a**5 + 0 + 0*a**3. Find the third derivative of f(i) wrt i.\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 153943 = -14*r - 57455. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42015532387 and 2309.\nAnswer: -42015530078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136796977?\nAnswer: 17, 8046881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5*g - 6)*(28*g + 33*g - 3*g)*(0 + 0 + 1 + (0 - 1 - 1)*(-4 - 4 + 2)).\nAnswer: -3770*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -2, -0.7, -46, 5 in increasing order.\nAnswer: -46, -2, -0.7, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1050 - -1067. Let u(n) = -19*n**2 + 6*n + 6. Let t(z) = 56*z**2 - 17*z - 17. What is l*u(q) + 6*t(q)?\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) -0.04 (c) 4\/111 (d) -7 (e) 0.096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -441 + 444. What is the nearest to w in 3\/2, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1032 + 20328?\nAnswer: 21360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6943 + -6943.003411. Round m to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d + 4*s, 3*s + 44 = 4*d + d. Suppose -2*o = 3*o - 40. Let y = d + o. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1031 - -10223?\nAnswer: 11304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 16*v - 41. Let h(z) = 13*z**2 - 64*z + 164. Let d(a) = -2*h(a) - 9*w(a). Let x be d(13). Factor 0 - 1\/2*g**x - 1\/6*g**4 - 1\/6*g - 1\/2*g**3.\nAnswer: -g*(g + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -112*d + 672. Let s be i(6). Let v(z) be the third derivative of 0 - 2\/15*z**5 + 0*z**4 + s*z + 8*z**2 + 0*z**3. Let w(l) = -3*l. Give w(v(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2 + 10*u - 1 + 0 + u**2 + 5. Let h be v(-7). Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1755*c**3*v**2 + 8*c**2*v**2 - 2*c**2 + 6 wrt c?\nAnswer: 10530*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -169. What is the least common multiple of 12 and t?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 23 - (-30 + 10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608282 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(v) = 5*v + 26. Suppose -2*y + 5*q = -56, 5*y + 0*q + 2*q = 140. Suppose 9*u - 17 = y. What are the prime factors of z(u)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 76.9959. Let m = 1.0041 + l. Let x = -1 - 0. What is the closest to m in 1\/3, x, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2584 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -450 times -171876\nAnswer: 77344200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3178 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9346, 18781, 28216, 37651, 47086?\n\"Answer: 9435*c - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(2\/(-102)*-3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-27) - 4\/(-18). Find the first derivative of -4*l - 3 + q + 5 + 2 wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 2, r: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 9\/3)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195 + -194. Let g = -12 - -33. Let j = -23 + g. Which is the third smallest value? (a) j (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = 2*w - 132, 5*u + 3*w - 165 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 4. Let m be a(-6). Let l be (-1)\/2 - ((-324)\/(-8) - 4). Let d = m - l. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2803 - 738 + 2*j**2 - 2065.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 2. Let n be h(-6). Suppose 0 = -v + 3*x + 12, 3*v - 5*x - 24 = n. Let c(a) = 4*a - 3. Let l be c(5). Is v at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4493197 - 4474098.17. Let x = -18838 + c. Let s = x + -262. Round s to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**5\/20 - 3*g**4\/2 - 7*g**3\/2 + 19*g**2 + 2*g + 469. Find j such that v(j) = 0.\nAnswer: -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 253?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1461, -3005, -4667, -6447, -8345, -10361?\n\"Answer: -59*u**2 - 1367*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 5*g**2 + g. Let x be (0 - -3) + (-3)\/((-3)\/(-2)). Let b be x - -3 - 80\/(-16). Suppose -b = -2*n - 5*i + 4*i, -3*n - 4*i = -11. Calculate w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -0.975\nAnswer: 0.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 w when three letters picked without replacement from zezgjjggjw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466*w - 1168632 = -260*w - 230*w. List the prime factors of w.\nAnswer: 3, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y + 19 + 61 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (101670006 - (0 - -8)) + 2. What is n rounded to the nearest one million?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 48 = 20. Let c = 23 + j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -436, -976, -1732, -2704?\nAnswer: -3892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l + 7. Let r be a(5). Let z be (r\/9 + -2)*-3. What is the third derivative of -1 + 1 + t**4 - t**z wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344355060 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18456382, -36912768, -55369154, -73825540, -92281926?\n\"Answer: -18456386*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zztqtqzztqqzq. Give prob of picking 2 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-6))\/(2\/(-4)). Let u be (10\/(-75))\/((-520)\/78 - -7). Sort t, u, 2 in decreasing order.\nAnswer: 2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*0.7.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155458238?\nAnswer: 2, 13, 37, 161599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -12 + -5)*1. Let x(r) = r + 13. Calculate x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175389970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1080869426290 - 0\nAnswer: -1080869426290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, 39, -4\/7, 0.1, 19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/6459?\nAnswer: 2\/6459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*j**3 + 14\/5*j**2 + 2\/5*j**5 + 4\/5*j + 2*j**4 + 0.\nAnswer: 2*j*(j + 1)**3*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + -28. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10725237 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 26109.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (273\/26)\/((-1)\/(-10)*-1). Let w = -158 + 84. Let x = w - a. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3367312 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -16.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 7\/((-91)\/(-143))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5705480, -5705477, -5705472, -5705465, -5705456, -5705445, -5705432?\n\"Answer: u**2 - 5705481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9*d = b - 246, -3*b - 2*d + 673 = 0. Let x = b + -221. Solve x = -4*f - 19 + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 15, -6*f + 169 = -4*f + 3*c. Calculate the remainder when f is divided by 24\/(-16)*52\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*k + 1428 + 539*k - 340*k + 45.\nAnswer: -3*k + 1473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 + 2*d + 2. Let l be h(-2). Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -8. Let t(y) = -3*y + 12. Let k be t(-9). Suppose -126 - k = -5*p. Calculate the remainder when p is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -0.3 (c) 0.077 (d) 5 (e) 1\/4 (f) 31 (g) 93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19722.16898 to the nearest 10.\nAnswer: 19720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(320) + 1*sqrt(320) + 3))**2 - (2*sqrt(320) - ((1*sqrt(720))**2 - sqrt(720))))*-6.\nAnswer: -282744 - 20568*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 90 = 5*f, -4*t + 5*f = f - 112. Suppose -x - t = -3*i - 6*x, -3*x = -6. Is (-8)\/20 - (-1257)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*p = 10, 2*u - 2*p + 3*p = -11. Let k be (5\/(-3))\/(u\/9). Suppose 44 = k*v - 31. Solve 0 = -5*r, 0 = -5*a + 2*r + 2*r - v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.33961 decades to centuries.\nAnswer: 8.133961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2158 + 2373. What is the highest common factor of 602 and g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**5*m**2 + 19*c**3*m**3 + 4*c**2*m**2 + 13*m**3 wrt c?\nAnswer: 60*c**2*m**2 + 114*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21576816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiiq when four letters picked without replacement from qqiqqiqqqqqqqqqqqiqq?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -543 - 565 + 116 - 3*h + 4*h - 56*h**2 + 181 wrt h?\nAnswer: -112*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c3e (base 15) in base 7?\nAnswer: -36503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqcc when four letters picked without replacement from {q: 5, c: 7}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.3. Let i = -8223 - -8222.6. Sort -0.2, i, -8\/7, n in decreasing order.\nAnswer: n, -0.2, i, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 13*b**3\/6 - 5*b. Let p(u) = 2*u**2. Calculate k(p(v)).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let o(h) = -3796984*h. Give n(o(s)).\nAnswer: -3796984*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519 equal to -2\/125531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 18*h - 15. Let z be m(16). List the prime factors of 84\/((-16)\/(-30) + z\/(-85)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjshjjzjhsjjzjjh. What is prob of picking 1 j, 1 h, and 2 s?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-43)\/((-731)\/170) - 10. Let h be 3 + -1 + (1 - -1). Let d = -3 + h. Solve x = 3*u - 1, q*x + u = x - d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00364 rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -203362 (base 7) in base 6?\nAnswer: -425134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7)*48\/(2016\/(-1666)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) -1\/3 (b) 2\/3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 3057.\nAnswer: 17\/3057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437943.\nAnswer: 13, 53, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*h - 4, -4*h + 2*h - b = -1. Let z be ((-4)\/(-16))\/(h\/4). Let p = -500.3 - -500.1. What is the closest to p in 1\/3, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-23902)\/(-57) + 5\/(-15) is divided by 131.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48985026 to the nearest 100000.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r. Let p(h) = 137696*h + 6240. Let w(t) = -1659*t - 75. Let l(j) = -5*p(j) - 416*w(j). Give l(i(b)).\nAnswer: -4992*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**2 + 2. Let z(y) = 3*y**2. Determine h(z(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 0.1, 6\/17, 12, -5.05, 3, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 59 - -1) + 865 + -881?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16053 is divided by 7960?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 2 + 3*t**2 - 1 + 4 as x*t**2 + a + f*t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 599*z**3 + 4*z**2 - 4*z - 10. Let t(v) = v**3 + v**2 - v - 2. What is -b(c) + 4*t(c)?\nAnswer: -595*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1412790, -1412768, -1412746, -1412724, -1412702, -1412680?\n\"Answer: 22*v - 1412812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 226\/8*16\/(-12). Let w = u - -37. Which is smaller: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6874, 6872, 6870, 6868?\nAnswer: 6866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15 - -2*(-2)\/(-4). Let y = v + 10. Let a be (6\/y)\/(3\/6). Sort -3\/4, 0.5, a in decreasing order.\nAnswer: 0.5, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10860952 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458012 is divided by 1065.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199133123 is divided by 4115?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65243389489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.532907 years to decades.\nAnswer: 0.0532907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100100011 + 100?\nAnswer: 10011100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 903*g**4 - 133*g**4 + 76*g**4 + (4*g**3 - g**3 - 4*g**3)*(2*g + 0*g + 0*g) + (4*g**2 - 6*g**2 - g**2)*(g**2 + 3*g**2 - 5*g**2).\nAnswer: 847*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = 3*v. Let k be v\/(-3) + (-8)\/12. Let q(u) = u + 4. Let f be q(-5). Is k < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 11:00 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 9878003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 1\/8, -2\/51, 1\/3, -1\/2, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8976 + 1882*n**3 - 8976.\nAnswer: 1882*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 13 - 2*z**2 + 13)*(-z**2 + z**2 + z**2) + 15*z**4 - 21*z**4 + 18*z**4.\nAnswer: 10*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-7677009 + 10) - 1. Round b to the nearest 100000.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*o + 39*o + 56*o + 66*o - 189*o + 6.\nAnswer: 29*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2328 or -2326?\nAnswer: -2328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 23, 44, 73?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -772 + 3418. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33511 + 3?\nAnswer: 33514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 345306.3 months in years?\nAnswer: 28775.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:33 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w**2 - 15*w + 2. Let m be f(-5). What is the smallest value in -16\/11, 0.3, m?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34431 and 31860651.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.1, -20, 0.7, -60?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -510, -443, -214, 231, 946?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 9. Suppose t - 2 = w*t + 4*q, 0 = -2*q - 6. Let l = 0 - -5. What is the remainder when l is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (-2*sqrt(320) + sqrt(320) - sqrt(320)))**2.\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24 = 5*z, 0*a - 2*z + 11 = -a. Suppose 0 = -2*v + 429 - 281. Suppose 0 = v*s - 54*s + 40. Put 0, s, 2, a in decreasing order.\nAnswer: 2, 0, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -476 - -1?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -423, -1491, -3583, -7041, -12207?\n\"Answer: -57*d**3 + d**2 + 10*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*o - 11, -30 = -t - 2*t - 5*o. Let x(q) = 4540004*q - 20. Let w be x(t). Round w to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 107 + 31. Let w(t) = 3 - 5 + 5 + 18*t**2 - 2. Calculate the remainder when w(-2) is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1549, -8387 in decreasing order.\nAnswer: 8, -1549, -8387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1 + (-4 + 0 + 8)*(2 - 6 + 2))*((-2 + 2 - 2)*(-3*a - 7*a - a) + (0*a - a + 2*a)*(-3 + 0 + 1)) as d + u*a and give u.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1138.4 - -1249. Round b to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925101293 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22052*b = 21996*b - 448 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -13. Let m(b) = -47. Let q(k) = 7*g(k) - 2*m(k). Suppose 5*l + 37 = -4*t, 0 = t - 4*l - 12 - 5. Let r(j) = -j + 8. Calculate t*r(o) + 8*q(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 708\/100 + (0 - 7). Put 5, -2, g, -2\/17 in increasing order.\nAnswer: -2, -2\/17, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 2*f**3 + 5*f**3)*(33 - 55 - f + 31).\nAnswer: -2*f**4 + 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 - g - 3. Let h be v(-7). Solve h*d = 2 + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 8*g**2 - g. Let h be 20\/(-2) + (-3 - -5). Let u be a(h). Let l = -5 + u. Solve 4 = 4*i, -l*m - 1 = -3*i - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 512830 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 614, 2401, 5380, 9551, 14914?\n\"Answer: 596*w**2 - w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563952 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.140092 millennia in decades?\nAnswer: 414.0092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2100 and -13\/16.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -134*l - 79. Let n be z(-5). Let g = -1077 + n. Let a be (-5000)\/((-2429)\/g - 5). What is a rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2082, 9022, 20562, 36708, 57466, 82842, 112842?\n\"Answer: z**3 + 2294*z**2 + 51*z - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/(f\/(f**18\/f)))*f))\/f)**(1\/23)*(f**(-15)*f)**(-2\/101) assuming f is positive.\nAnswer: f**(2058\/2323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 18*t**3 - 57*t**2 + 14. Let n(d) = -12*d**3 + 40*d**2 - 10. Calculate 5*a(h) + 7*n(h).\nAnswer: 6*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 6. Let q = -645.1 - -645. Let k = 31 - 154\/5. What is the nearest to q in k, a, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 + 28*i + 179. Calculate q(-7).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 110.47 and 594?\nAnswer: 65619.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055455 rounded to 7 dps?\nAnswer: -0.0000555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -82\/7*v**3 - 86\/21*v**4 - 80\/21*v + 0 - 2\/21*v**5 - 242\/21*v**2 = 0.\nAnswer: -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-174)\/(-14) + (-6)\/14. Let a be (-9)\/(1\/((-1)\/(-1))). Is ((-2334)\/a)\/(-1)*x\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-6)\/12)\/(6\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z + 187. Calculate p(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = -2*r + 56*q + 2354, 5*r + 3*q + 120 = r - 1 - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*z - 2 = -2*k, 0 = -4*k + z + 4. Let s(n) be the first derivative of 2*n + 4*n + 2 - n**2 - k*n. Let j(l) = -1. Calculate -4*j(w) - s(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -16\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(0*g + 0*g - g) + 3*g + g - 5*g + (3*g + 4*g - g)*(-1 - 1 + 1) - 3*g - g + 2*g to z*g + o and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*sqrt(56)\/sqrt(4) + sqrt(14))\/sqrt(7).\nAnswer: -5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 11*q**2 - 53*q - 514. Give d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 378 - 357. Put 3, 2, 0, r in decreasing order.\nAnswer: r, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 28 = 0. Suppose -9 = 3*q, -228 = -3*c - 0*q - q. Suppose -a - 2*r = -18 - 4, -4*a = -3*r - c. What is the remainder when a is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 16 = -20*x + 19*x, 3*x - 3*o = 102. Calculate the remainder when x is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*u + 528*u + 616*u - 1569*u = 8282 for u.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h - 2. Let q be z(-2). Let n be (-1)\/q*(-4)\/(-67). Let l = 70\/201 + n. Calculate the common denominator of l and -73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {t: 1, a: 2, g: 2, c: 4, p: 2, o: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 2. Let o(w) = 26*w - 9. Let k(c) = 11*m(c) + 2*o(c). Let a(r) = -r + 1. Give 5*a(s) - k(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(-4)\/(-72). Let f = -2\/7 - -4\/7. What is the nearest to f in 0.5, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -23*o**3\/3 + 21. Let h(g) = 2*g. Calculate h(y(v)).\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -41\/9 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**2 + n**2 + 1 - 3.\nAnswer: 27*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 13*f**2 + 5*f - 57. Let k(z) = -6*z**2 - 2*z + 29. Let a(t) = 9*k(t) + 4*v(t). Differentiate a(r) with respect to r.\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v, -3*g - 4*v = g - 16. Solve -4*p + 7 + 9 = -g*t, -10 = 2*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 30.83. Let y = 14.83 - m. Let w = 10 - y. Sort w, -3, -4 in ascending order.\nAnswer: w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32039 + 3887826.959.\nAnswer: 3919865.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-22) - 2500\/(-275)) + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 15*w**4 + 185*w**3 + 30*w**2 - 135*w - 95. Let d(b) = 2*b**4 + 23*b**3 + 4*b**2 - 17*b - 12. Let j(a) = 25*d(a) - 3*f(a). Factor j(y).\nAnswer: 5*(y - 1)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1689*-68.8.\nAnswer: -116203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/2 + 5*m**4 + 33*m**3\/2 + 16*m**2 - 14*m - 24 = 0.\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 81*c - 2103. Determine k(-21).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -123*u. Let g(a) = -131*a. Give g(n(t)).\nAnswer: 16113*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 495\/8 + -35113\/568. Let r = a + 59\/213. Let b = -2.1 - -2. What is the closest to b in -2, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525\/(-56)*((-8)\/21)\/(64\/448).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let h be t(0). Let q be 11 - 1\/3*h. Suppose 17 = 4*r - a, -r + 12 = -4*a - q. Solve -r*z - 13 = -1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17426930 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.81? (a) 18 (b) 2\/2219 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k**2 + 3*k**2)*(-k + 4*k + 0*k)*(-2 + 2 + 2).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/(1\/8). Suppose g - 5*t + 7 = 3*g, -4*t + 6 = 2*g. Suppose 4*y = 3*x + 13, 0*y + y = 3*x + g. Solve -n*a = -y - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-4 - -7 - -4) + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 55110, 1, 5 in decreasing order.\nAnswer: 55110, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - o**3 + 49*o**2 + 2 + 4 - 36*o**2. Let b be g(13). Calculate the highest common divisor of b and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*d = 24, -d - 3*d + 359 = 41*a + 462 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 - 10*w**2 - 26*w - 5. Let y(m) = 3*m**3 - 11*m**2 - 27*m - 6. What is 6*g(q) - 5*y(q)?\nAnswer: 3*q**3 - 5*q**2 - 21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0 - 1\/120*i**5 + 0*i**4 - 7\/6*i**3 - 2*i**2 + 0*i. Let b(w) be the first derivative of k(w). Let g(d) = -3*d. Give b(g(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(2 - 2 + 2)*(5 + 8 - 4)*((4 - 3 - 3)*(-4*z**2 + 0*z**2 + 3*z**2) + z**2 - z + z).\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15265 + -15263. Which is the nearest to y? (a) -0.115 (b) 0.2 (c) -1\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 385*f - 37076. Calculate o(-168).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 5, p: 1, n: 3, d: 1, i: 1}. Give prob of sequence dqt.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 197509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-40))\/((-6)\/5))\/(4 + (-6825)\/1700)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 48 = 14*n - 10*n - r, 0 = -4*r - 48 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1728.\nAnswer: -5\/1728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 22*l + 510. Let z be (-2)\/(-10) - (l\/(-5) - 3). Solve -4*y + 6 = 3*j - 0*j, -4*y + 5*j = z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 11*j**4\/24 + j**3\/6 - 2*j**2. What are the prime factors of d(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:12 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - -699c?\nAnswer: 69bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 826800899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612.642729 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 124.560247 * 1.1\nAnswer: 137.0162717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3*t**3 - 30*q**3*t**2 + 42735*q*t**3 + 365*t**2 wrt t.\nAnswer: -12*q**3 + 256410*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 + 42*f**3 - 48*f**2 - 42*f + 45 = 0. What is f?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:15 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 + t**4\/6 - 2*t**3\/3 + t**2 - t - 29. Let q be (1 + -2)*(0 - -5). List the prime factors of h(q).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11829 divided by -1\nAnswer: 11829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002127673321 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -790a + -3?\nAnswer: -7912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33170, -66349, -99524, -132695, -165862?\n\"Answer: 2*u**2 - 33185*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 1\/9, 0.5, -0.9, -0.3, 0.02?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*l + 14 = 5*t, 5*l = -t - 18. Suppose 4*m - 3*o = -0*m - 3, -t*m = o - 1. Solve m = 2*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-22\/9)\/(l\/(l*(l**30*l)\/l))*l**(1\/9)*l*l**11)**(-2\/17) assuming l is positive.\nAnswer: l**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.6 and 1431.\nAnswer: 1432.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.012503 smaller than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/7229046 and 101\/12342.\nAnswer: 79519506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rurcqrcrqcrqrcq. What is prob of picking 1 q and 1 r?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -21, -78, -187, -366?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 264*c**3 - c**2 - 4*c + 5. Suppose -s = 211 - 208. Let u(o) = -263*o**3 + o**2 + 4*o - 5. Let b(j) = s*p(j) - 4*u(j). List the prime factors of b(1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(18))\/sqrt(9) + sqrt(4)\/sqrt(72) + 1)*2.\nAnswer: 2 + 13*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3910, -9209, -14504, -19795?\n\"Answer: 2*n**2 - 5305*n + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 8*c**2 + 11*c - 10. Let b be m(9). Suppose 0 = -8*s + 4*s + b. Suppose -s*l = -4*l + 370. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 7*o + 44. Which is the second smallest value? (a) o (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -2 (c) -2\/11 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n + 4*n + 8*n + 5*n - 29*n. Let p(b) = 70*b**2 - 2. What is o(p(t))?\nAnswer: -70*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 70*j - 156. What is the remainder when 20157 is divided by u(-4)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 940502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-48))\/(90\/36)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -252 - 578?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1724\/2595 + -2\/865. Let u = 44 - 50.5. Let s = u - -6.8. What is the closest to g in 2\/9, s, 0.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 7) to base 11\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1269948 less than -1269950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -32584679 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = -6*p + 100 - 83. Put p, -2, 3, -4, 0 in decreasing order.\nAnswer: 3, 0, -2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 23 = -4*k, k - 21 + 10 = 2*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4763 from -5.\nAnswer: -4768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 4*c + 16. Calculate w(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyayyyya. What is prob of sequence yaay?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 61 + 27 + 16.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 31723\/3 and 10575 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 1 - 1 - p + (-6*p + 3*p + 2*p)*(-1 + 4 - 2).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**4 + 15*t**3 - 8*t**2 + 33*t + 1194424?\nAnswer: -8*t**3 + 45*t**2 - 16*t + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44203 (base 5) to base 16.\nAnswer: bed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/72*(0 + 4). What is the tens digit of i + 320\/((-25)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 + 1.2. Put s, -5, -2\/9 in ascending order.\nAnswer: -5, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 0. Suppose 4*j = -5*s + s, -2*j + s + r = 0. Let o be -3*2\/j*-11. Calculate the highest common divisor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1081 and 0.7.\nAnswer: -1080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 223 - 0?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3 + p - 3 - 1. Suppose 24 = 4*g - 8. Let r(k) = 2*k - 2. What is g*j(m) - 3*r(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(6 - 15\/3). What is the remainder when r\/3*147354\/(-82) is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 8310366.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 1406 - 1466 + 14*i**3.\nAnswer: 26*i**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 35052810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 4 + 2 - (-16)\/(-48). Let w = -1 + 2.2. Is w at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 9*g**2\/2 + 4. Let t(s) = -920*s. Let r(u) = 634*u. Let y(p) = -16*r(p) - 11*t(p). Calculate y(z(o)).\nAnswer: -216*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from krrkrk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246186 and 1500687?\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10439 is divided by 5219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 636.\nAnswer: 1\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m + 3. Let j(f) be the first derivative of 9*f**2\/2 + 2*f + 21. Give -8*j(h) + 5*r(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (62 + -72 + -18)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2861.4 + 2861.399929724. What is f rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 61, 64, 71, 82, 97, 116?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1194, -1144, -1092, -1038, -982?\n\"Answer: b**2 + 47*b - 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71044, 568311, 1918018, 4546381, 8879616, 15343939?\nAnswer: 24365566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 120 + 9 = 15 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5*j)*(-j**4 - j**4 + 4*j**4 + (-3*j**4 - 3*j**4 + 4*j**4)*(1 + 1 - 4)).\nAnswer: 30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {t: 1, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2443757 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 + -249. Let x(t) = 5*t + 24. Determine x(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7924, -7925, -7926?\nAnswer: -7927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -36, 1, -1\/2, 1.3775 in increasing order.\nAnswer: -36, -31, -1\/2, 1, 1.3775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -237, -3, -5, -1093 in decreasing order.\nAnswer: -3, -4, -5, -237, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 - 2*s**2 - 2*s - 1. Let h be n(-1). Suppose h*k + 19 = 79. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15414, -15415, -15416?\n\"Answer: -z - 15413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -17.8. Let j = 0.05 + i. Are j and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23864278 a multiple of 1688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**4 - 3360*y**3 + 27033*y**2 - 43974*y + 20304 = 0?\nAnswer: -1128, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000106161 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -10. Suppose -4*q + 16 = 2*j, a*q + 2*j - 10 = 10. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(700) - ((-1 + sqrt(700) - sqrt(700))*5)**2).\nAnswer: -100 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, 53, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60554a - 105?\nAnswer: -605653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391870, 391871, 391872, 391873, 391874?\nAnswer: 391875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*f - 18, -g + 21 = 19*f - 14*f. Sort g, -1, 2\/7, -70.\nAnswer: -70, -1, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2618*p - 3. Let r(z) = -11*z - 5. Determine r(f(g)).\nAnswer: -28798*g + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/1891 - 123\/1891. Is 7 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntm when three letters picked without replacement from mammttattammntttaatt?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**3 + v. Let c(z) = -23*z**3 - 7*z**2 + 11*z. Let t(o) = -c(o) + 5*p(o). Let l(r) = -r**3 - r**2 + r. Determine -5*l(s) - t(s).\nAnswer: -3*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 767 = 177. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162909 + 122339 + 103831 = 9*c. List the prime factors of c.\nAnswer: 17, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 - (-21 + -4) - (-5578)\/2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 9. Let b be u(-4). Suppose b*q = -5*t + 30, -3*t = 3*q - 11 - 7. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-3)*63\/28. Sort w, -4, 0 in decreasing order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 16 = -4*c, -2*m - 3 - 1 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 491176, 982415, 1473654, 1964893, 2456132, 2947371?\n\"Answer: 491239*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 20403?\nAnswer: 20404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/2 + t**3\/3 - 965*t**2 - 5177*t - 3131. Differentiate u(f) wrt f.\nAnswer: -6*f**2 + 2*f - 1930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r = -18*r + 56250. Do r and -1875 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9838926 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34409915911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -12*r**3 - r**2 + r + 2. Let q be y(-1). Suppose 29 - 45 = -3*w + 4*m, 3*m + q = w. Let t be ((-5)\/(-18))\/(4\/(-12)). Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 10 + -12 + 12 + -35?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -53. Let r = l - -60. Calculate the remainder when 72 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 22*i - 97. What is h(14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 9126215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m + 4. Give w(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0 + 11\/2*p**3 + 1\/30*p**5 + 0*p**4 - p - 6*p**2. Differentiate z(v) with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7 - 3 - w + 6. Let x be r(-7). Suppose -9 + x = -s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25 + 5*v**2 - 19*v**4 + v**2 - 30*v**4 + 45*v**4 wrt v.\nAnswer: -16*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 418625 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 54822840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 = -2*w, 5*w - 5*b - 46 = -b. Let j be -1 - 56 - (-9 + w). Let x = -45 - j. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*y + 2 + 18, -3*y = -3*r + 105. What are 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 m be (-15)\/5 + (-2 - -7) + 1. What is the third derivative of -112*j**2 + 3*j + j**4 - 8*j**3 - m*j + 141*j**2 wrt j?\nAnswer: 24*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 (base 12) in base 14?\nAnswer: 4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-308)\/(-231))\/(4\/927) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10054 + -9929. What is the remainder when 3746 is divided by b?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*i*j - 4*a*j**3 + 9*a*j - 6*a + 3*i*j**3 - 642781*i*j - j**3 - 143*j**2 + 26 wrt i?\nAnswer: -2*a*j + 3*j**3 - 642781*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*c, 5*h + 10 = -c. Let b = -1 - h. What is the units digit of (b\/(-3) + 0)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.166 + -0.166085. What is y rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 - 2*o - 4. Let s be c(-3). Suppose -s*w + 2 = 0, -2*h = -3*w - w + 16. Is 1\/(-2) + (-363)\/h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 3.07. Let h = -19 - -18.5. Let l = 343 + -340. What is the nearest to l in h, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/9 (b) 0.2 (c) 1.9 (d) 269\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 5*g + 40986 = 2*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/5, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064*y + 1077*y - 3193*y + 1065*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from hbhchcbhccxhcbn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 - (2 + 2) - 19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 7*g**5\/20 - 7*g**4\/12 - 5*g**3\/2 + 5*g**2\/2 + 2167*g. Let l(r) = -15*r**3 + 15*r**2 + 31*r - 11. What is -13*d(x) - 6*l(x)?\nAnswer: -x**3 + x**2 + 9*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -100.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (2 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*f + 105 = -3*f, 3*h - f + 79 = 0. Let b = -25 - h. Let t(i) = -i**3 + 2*i**2 + 4*i - 3. Let m be t(2). Put b, m, -2 in descending order.\nAnswer: m, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m + 24. Let t(v) = v + 3. Let l(c) = -3*q(c) + 24*t(c). Let a(j) = -256*j. Give l(a(x)).\nAnswer: 768*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 4. Let a(z) = -7*z - 7. Let d(x) = 4*a(x) + 9*q(x). Let v be d(6). Factor 4*t**3 + 5*t**2 + 2*t**3 + 2*t**4 + t**v + 2*t.\nAnswer: 2*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18699473\/12 - 1559632. Let j = 2663\/2 + s. Let a = 1\/3080 + -77773\/9240. What is the common denominator of a and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 2121 = -3*d, -2*d = 5*k - 5297. Suppose 349 = 19*x - 18*x - 3*n, -3*x + 3*n + k = 0. Is x a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 1:49 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 - 201*m**3 - 25503*m + 25503*m.\nAnswer: -181*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -117669.1823 rounded to the nearest 1000?\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.8 - -7.2. Let g = x - 32.1. What is the third smallest value in g, -12, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11 = -2*b + 2*y, -4 = -2*b - 2*y. Suppose 3 - 6 = -b*t. Let w be 3\/(t\/(-2) - -2). Solve -1 = -3*k + 5*g, -k - w*g - 3*g + 7 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-91) + 2\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -503326\/7 + 5043029\/70. Let d = y - 1028\/7. Let h = -1155\/4 - -3659\/12. What is the common denominator of d and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470 and 684?\nAnswer: 160740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-26) - (-2)\/4. Solve 0 = -l*r + 4*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25876, 49033, 72190, 95347, 118504, 141661?\n\"Answer: 23157*g + 2719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 54*m - 115*m - 273*m - 172*m - 346*m + m**2 as z*m + n*m**2 + b and give z.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 22*h + 36 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*u + 15 = 0, 5*p - 5*u + 13223 = 13253 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.9208 and 2906.8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - z - 36 = 0, 6*h - h - z = -45. Let t = 14 + h. Suppose 0 = 2*k - t - 5. Solve -7 = 4*r + k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 12:55 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - f, 5*n + 4*f + 0*f - 36 = 0. Let c be (1\/3)\/(n\/36). Solve -9 = -2*z + 2*v - 5*v, -c*z - 3 = -v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008631114 rounded to six decimal places?\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w + 3*g = 0, 4*w = 4*g - 4. Let c(x) = -3*x + 26 - 5*x + 15*x - 4*x. Let l be c(-7). Solve 0*t - l*r = t + 17, w*r = -4*t - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448\/(-560) - (-4)\/30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0*u**2 - 5*u**2 + 3*u**2. Let y(p) be the third derivative of p**6\/360 - 7*p**4\/24 + 4*p**2. Let i(r) be the second derivative of y(r). Give i(o(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61295136 - -0.08.\nAnswer: 61295136.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, -1\/2, -2\/11, -16, -2\/33, -0.11, -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d**2. Let v(x) = 68*x**2 - 14*x**2 + 49 - 56*x**2. What is i(v(z))?\nAnswer: -36*z**4 + 1764*z**2 - 21609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 240. Let m be ((3 - 2)*-38)\/((-9)\/9). Let q = i - m. Calculate the highest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t = 48021 + 28717. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 4\/7 (c) 2 (d) 4 (e) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 847208 in 0.5, -1\/7, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 7:51 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s + 6*s + 28 = -x - 13*s - 25*s, 7 = x - 3*s for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m + 6. Let u(t) = -26*t + 29. Let w(y) = -15*y + 15. Let v(q) = 2*u(q) - 5*w(q). What is 17*p(o) + 6*v(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 13*i - 5. Calculate l(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 300, 298, 298, 300?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbv when three letters picked without replacement from {n: 2, b: 6, f: 2, g: 3, v: 6, t: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x = -101*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -30*y**2 - 275*y - 165. What is g(-8)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 89 (b) -22 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 6 = 3*h + 2*b, 4*h = b + 146. Let k be 13\/52 + (-2 - h\/4). Are -13 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 82. Is 18 a factor of (v\/4)\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5742711*c - 5512712.\nAnswer: 5742711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12558877*o**3 - 3551*o + 2091 wrt o?\nAnswer: -75353262*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.95 + -3. Let h = -0.050029 - j. Round h to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3575 and 3966050?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.15 in 1, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 273\/(-182) + (-198)\/(-4). What is the greatest common factor of s and 10064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2752\/539 - -8\/539. Let m = 74 - 515\/7. What is the common denominator of m and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-90)*-5*(0 - 0). Let f be (6*(j - 1))\/(6\/(-132)). Is f less than 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 9 = -0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1152) + 1 + sqrt(1152) + sqrt(160)\/(sqrt(5)*-2*-1).\nAnswer: 1 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -169654.\nAnswer: -169655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:41 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6086 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 5:11 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z**2 - 81*z + 5. Let q(s) = 18*s**2 + 102*s - 6. Let y(d) = -d**2 + d. Let o(m) = 2*q(m) - 2*y(m). Let w(g) = -5*o(g) - 12*r(g). Factor w(j).\nAnswer: -2*j*(5*j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -66 (b) 2 (c) -4\/5 (d) 167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 10*n**2 + 34*n**2 - 11*n**2 = 0. Calculate n.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 2 - 51 - 6*c as n*c + q and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348521079.\nAnswer: 1348521079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 3*f**2 + 16*f**3 + 9*f**3 - 26*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpmmmmpmpmmmm. Give prob of sequence mmpp.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 1, l: 1, c: 1, b: 3}. Give prob of picking 1 y and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3271 + 3276. Put -3, 3, 2, 11, w in descending order.\nAnswer: 11, w, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7193*l**2 + 42*l - 196. Is t(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-2))\/((-4)\/1). Factor l*p - 1\/2*p**4 + 0 - 1\/2*p**3 + p**2.\nAnswer: -p**2*(p - 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 - d + 7. Let w be k(8). Let r be w - (-2 - -2) - -20. Calculate the greatest common factor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-192))\/((330\/54)\/11)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30318)\/(-1630))\/((-2)\/3*(-3)\/6*-9)?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71656525399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/((-35)\/(-20) - 2))\/(-9 - -7). Let m be (-3)\/(1\/(4\/(-18))). Which is the nearest to -1\/38? (a) -5 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65282 = 129*k - 23470. Calculate the highest common divisor of 128 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -18\/7. Let m = -7.446 + 7.5. Let z = 6.946 + m. What is the nearest to -1 in r, z, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 23*a**2 - 76*a + 7. Let x be y(-19). Let n(m) be the second derivative of 7*m**3\/2 - 3*m. Let z(p) = 7*p. Calculate x*z(k) - 2*n(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 22 (b) -242 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**2 - 6*t. Let g(j) = 4*j**2 + 3*j. What is -4*d(h) - 7*g(h)?\nAnswer: 4*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7 + 8*b**2 - 2*b - 4*b - 2*b**2. Let j be n(5). Suppose 4*x + j = 445. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*x = 35*x + 1001 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 2. Let l(c) = 2*c + 4. Let f(t) = -9*t + 33. Let s be f(3). What is s*l(d) + 11*q(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 divided by 9.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11325 and 37.3933.\nAnswer: 11362.3933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -4, -3, -30.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 3, j: 1, a: 1, x: 4, f: 2}. Give prob of picking 1 k and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - c - c)*(-3 - c + 3) - 2*c**2 - 5*c + 5*c + 2*c**2 - c**2 + c**2 + 13602*c**2 + 212466 - 212466 in the form r*c + x + l*c**2 and give l.\nAnswer: 13603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14012 - 43?\nAnswer: -14055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 33*b + 24. What is m(32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 26*z - 34. Determine d(-22).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**2 + 50*x - 17. Calculate the remainder when 31 is divided by w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 94*l**2 - 56*l - 252. Let u be x(-48). What is u rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = -54*q + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 31*p + 99. Let r be y(-33). Suppose -26*o + 95 = -r. Solve d - o = -6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7224 and 74885790?\nAnswer: 299543160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.19 minus 0.0312159?\nAnswer: -1.2212159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0, -5 in decreasing order.\nAnswer: 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221 - -220. What is the nearest to u in -9, -0.5, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1411029221 to the nearest integer?\nAnswer: 37564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 18*h**2 - 12*h - 87. Let y(f) = 3*f**3 - 36*f**2 + 25*f + 175. Let i(a) = -7*p(a) - 3*y(a). What is i(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 + -141. Suppose h*v + 3*o - 1536 = 0, o + 496 = -3*v + 1416. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8193652406 and 5.\nAnswer: 8193652411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/((-322)\/(-161))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243258 and 1094661.\nAnswer: 2189322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -171, -5, 14, 5, -1.\nAnswer: -171, -13, -5, -3, -1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 852894674.935 + -851030140. Let m = 1864586.93500042 - u. Let a = m + -52. What is a rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/84*(-10)\/(6*(13\/6 + -2)).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003615 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(sqrt(847) - (0 + sqrt(847) - sqrt(847))**2)*-1.\nAnswer: -66*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1216 = 16*f. Suppose -3*g - 23 = -113. Suppose 0*j + 3*j + g = 2*z, -5*z + 5*j + f = 0. What is the lowest common multiple of z and 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -13. Let p = 0 + v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42573 = -343*g + 348*g - 3*x, 0 = -4*g + x + 34057. List the prime factors of g.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) 60 (c) 52 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -2, 1 in ascending order.\nAnswer: -6, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = y + 1, -57405*y + 18 = -57401*y - 14*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 + 34*c**3 - 19*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(121) - -2*sqrt(121))*3)\/(sqrt(891) - (sqrt(891) + sqrt(891)*-2)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/4)*c)\/c*c*c*c**(-10)*c*c)**(-3\/29)\/(c**(1\/3)\/(c\/c**(1\/5)))**(-23) assuming c is positive.\nAnswer: c**(-17821\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 651 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 2*o + 89 = 4*r, -o = -3*r + 31 - 52 - 39 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2393 = 11*h - 2667. Let t = -363 + h. What is the remainder when t is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*r - 4. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/(-52) + 14 - 8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c - 350*c = -24*c + 9700 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7391140 rounded to the nearest 100000?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(15\/(-6)) - 53\/20. Let d = 11\/4 + t. Factor -d*y**5 - 1\/2*y**4 + 0 + 1\/2*y**2 + 1\/2*y**3 + 0*y.\nAnswer: -y**2*(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 4*z + 2. Does 9 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h - 1. Let n be a(1). Let f(o) = o + 4. Let w be f(3). Suppose w*q = 11*q. Solve 3*b = -q*b - n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185575837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 23*l - 9. Let u be -3*(60\/(-9) - -6). Let b(p) = -11*p + 4. What is u*a(n) + 5*b(n)?\nAnswer: -9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2 - 149*r - 41. Let f be s(-11). Let b be (-1)\/5*485\/(-4). Is f < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 294773668, 294773670, 294773672, 294773674, 294773676, 294773678?\n\"Answer: 2*o + 294773666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -37673.\nAnswer: -37678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 5. Let p be g(-11). Let f be ((-60)\/(-25))\/(2\/(-25)). Is 7 a factor of (f\/p)\/((-1)\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1502*c - 106637. What is u(-71)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1811 + 1819. Solve -18*h = -q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + v**3 + 0 + 2.\nAnswer: -4*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1475 + 33 = 37*s + 250 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 4.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.3, -4, 0, 6, 426 in increasing order.\nAnswer: -4, -0.3, -1\/8, 0, 6, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -41, 4, 101, 268, 523, 884, 1369?\n\"Answer: 3*o**3 - o**2 - 7*o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2062, 4100, 6138, 8176, 10214, 12252?\n\"Answer: 2038*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from fxxgx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + (2 - 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -11*s - 3*c - 1, c + 17 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132520889\/342977912 + -22\/327269. Let q = p + 3\/262. Let h = -0.121 - 1.879. What is the third smallest value in h, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*l - 19 = 0, 2*y = 4*l - 2 - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3425678.\nAnswer: 2, 1712839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**7\/840 - t**6\/60 + t**5\/120 + t**4\/24 + 70*t**3\/3 - 2*t + 47. Let o(d) be the third derivative of r(d). What is o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -5. Suppose 2*q = -4*n - 0*q + 60, 22 = 2*n + 5*q. Let f be 42\/y + n\/88. Solve m + f*x + 8 = -5, -m - 5*x = 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from sssssggssssssssssss.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -27343 less than -0.058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 795 = -5*v. Let b = v - 112. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28308 by 28308.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*p = -24, -5 = -5*i + 4*p + 7. Suppose -8*q = -4*q. Solve i + q = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379 + -570. Let c = 713 + b. Suppose 5*i = 2*s - 526, -i = -2*s + 3*i + c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -1\/4 (c) -682250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-42))\/((-26)\/52). What is the nearest to 5 in 1\/6, -0.1, -2\/31, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583998?\nAnswer: 2, 3, 131, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-44 - -33)) + 33 - 49.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**3 - 5*m**2 + 3*m. Let h(r) = -8*r**3 - 3*r**2 + 2*r + 13*r**3 + 0*r. Give -3*d(a) + 5*h(a).\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 - x + 2. Let g be j(-3). Let r = 100 + g. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000010101111100100011 (base 2) in base 16?\nAnswer: -c15f23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0428 and 0.2.\nAnswer: -0.00856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 427 and 1518961.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 2*q**2 + q + 1. Let l be f(3). Let i = 31348\/3 + -10450. Which is the second smallest value? (a) l (b) i (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 109. Let b(p) = p**2 - 2*p + 3. Calculate b(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2058 - -3166. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/42 and -99\/36566.\nAnswer: 767886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-4)\/320*-12.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14739, 13698, 12647, 11580, 10491, 9374, 8223, 7032?\n\"Answer: -w**3 + w**2 - 1037*w + 15776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/2)\/(p\/p**(1\/34)))**(1\/5) assuming p is positive.\nAnswer: p**(26\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/20 - 434\/(-8). Suppose -22*f = -25*f + n. Calculate the least common multiple of f and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -69, -6102 in descending order.\nAnswer: 0, -69, -6102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191*g + 217*g**3 - 558*g + 512*g - 312*g wrt g.\nAnswer: 1302*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcc when four letters picked without replacement from {z: 4, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 14) in base 2?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30110 (base 4) to base 9\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15516.00013958 - 15516. Round i to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*a**5 + 136*a**2 - 1349*a?\nAnswer: -320*a**3 + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1) - ((-266)\/63 + 7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14235 (base 6) to base 9.\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -8, 2.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -40.5. Suppose 2*x - 42 = 78. Let k be (x\/8)\/(-3)*8\/(-90). What is the nearest to k in r, 2\/23, -0.2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8149 times 2413\nAnswer: 19663537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1 + 2)*-1. Let x = 11 - 19. Let w be 1\/(y\/x*-1). Put w, -1, -5 in ascending order.\nAnswer: -5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*-1)\/(sqrt(24)\/sqrt(32)))**2 + 4.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -27, -66, -131, -228, -363?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 403\/20 + 12\/(-16). Let o = p + -5519\/285. Are 0 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 7*t**2 - 24*t + 23. Let j(u) = 4*u**3 + 22*u**2 + 84*u - 70. Calculate -7*d(q) - 2*j(q).\nAnswer: -q**3 + 5*q**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 - 7*m**3 - 2 + 6*m**3 + 800*m**2 - 795*m**2. Suppose -4*o + 30 = -2*q, 0 - 30 = -5*o + q. Give d(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2828*b**2. Let n(y) = y - 40. Give i(n(x)).\nAnswer: 2828*x**2 - 226240*x + 4524800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 217*v**3.\nAnswer: -217*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33418982\/531 - -62936. What is the common denominator of 1\/9 and q?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -13. Let r be (3\/2)\/(3\/i). Let t(y) = -2*y + 1. What is the units digit of t(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694*k + 698*k = -4*g + 28, 0 = -k + 7. Factor 0*l + 0*l**4 + g + 1\/4*l**2 + 1\/8*l**5 - 3\/8*l**3.\nAnswer: l**2*(l - 1)**2*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 + -285. Suppose 0*n = 5*n - 25, 5*n = -2*j + s. Solve 5*u + 6 = j*v - 4, -4*v = -4*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -33. Suppose -6*f + b = -f. Suppose -f + 0 = 2*h - q, 4*h - 20 = -4*q. What is h rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605076?\nAnswer: 2, 3, 50423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3. Let b(q) = -q**3 - 10*q**2 + 9*q - 1. Let g(z) = -b(z) + 2*m(z). Let t be g(9). Which is smaller: -1\/11 or t?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46102 is divided by 1418?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 13*g)*(1 + 0 + 1).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*h + 49, 5*t + 0*t - 2*h = -170. Let s = 51 + t. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117884*f**3 + 4*f + 4666.\nAnswer: 707304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a - 7. Suppose -a*f + 10 = -40. Suppose 2*u = -f, 2*u - 52 = -2*q - 2*u. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -5 (c) 2\/13 (d) 2 (e) -0.0608\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Let n = -5 + r. Let d = -190\/7 + 2104\/77. Which is the closest to n? (a) d (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-2)\/(-6))\/(-1). Let o = 2692 + -5509\/2. Let y = o + 62. What is the third biggest value in p, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Suppose 2*c - 7*c = 0. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24420214 - 4?\nAnswer: -24420223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 8:30 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2914 and 79343074.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-9 - -1 - (16 + 39 + -78)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (1 - -1))\/(-2 - -1). Solve -3*u - 3*o - t = 0, -6 = u - 2*u - 5*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1140 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 8*y + 63 = 0. Let n = 1.9 - 2. Let s be (-48)\/(-45) - 2\/5. Which is the nearest to n? (a) -1 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 - 13*d + 11.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124012*x**2 + 146103*x.\nAnswer: -248024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43407, 43432, 43479, 43560, 43687, 43872, 44127, 44464?\n\"Answer: 2*q**3 - q**2 + 14*q + 43392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*a - 3, -79*q = -75*q + 2*a - 2. Suppose 27*i + 4 = 28*i. Sort 15, q, i.\nAnswer: q, i, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Suppose r*q + 2*q = 4100000. What is q rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 3*m**2 + 2*m. Let u be x(3). Suppose -9*q = -7*q - u. Suppose -4*t - 12 = -v + 215, 0 = q*v + 5*t - 613. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0083246201 to four decimal places.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 125*(20\/(-30))\/(14\/(-3927)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 73 - 50 = -21*s. Let q(k) be the first derivative of 0*k - 4\/3*k**s + 10 + 0*k**2. Let z(l) = -2*l**2. Give q(z(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51379668907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-592)\/(-8))\/((-181)\/(-181))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 741.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2031849670 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 8 - 3)*(0 - 2 - 15)*(-3*a + 2*a - a)*(-4*a + 0 + 0) to the form j*a**2 + g*a + o and give j.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 15 = 8*d. Suppose -3*x - 2*s = 0, -3*x - 2*s + 12 = -4*s. Suppose x*q + 4 = 14. Solve q*i = d*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1146.\nAnswer: -229.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304\/56*(-7441)\/8504?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-5))\/(41\/2255). Solve 3*h - 5*t = 17 + l, -4*h + t = -9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 183 + 2 - (3 + -2). Suppose -3*k - 2*w = -h, -3*k + 265 = 2*k - 5*w. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -119, -2, 0.3, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 5, 6, -4, 34661, 2 in descending order.\nAnswer: 34661, 15, 6, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:56 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-165)\/(-10))\/(-11))\/(9\/(-30)). Let b be (d\/((-10)\/6))\/(-6 - -5). Solve b*h = -4*v - 23, -3*h + 9 = -2*v - 2*h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 278.552 - 0.552. Let s = i - 277. Sort 3, s, 0.05.\nAnswer: 0.05, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*w + 2*w**4 + 3*w**4 + 20*w + 142 + w**2 - 141 to the form j + b*w + i*w**4 + r*w**2 + a*w**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189573 by 63191.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least 334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7100 divided by 5\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 2:05 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 5*z + 4. Let u be (1\/(-2))\/(10\/60). What is q(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/(-12) - (-75)\/165*-11. Which is the biggest value? (a) h (b) 4046 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*a = -a + 7, -3*h - 3*a + 6 = 0. Suppose 3 = -2*n - 3, -h*q + 2*n = -147. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbbn. What is prob of picking 1 h and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142798 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 6 (b) 3 (c) 98\/3 (d) -14 (e) 0.1 (f) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 27*c - 1. Let w be q(3). What is the greatest common divisor of w and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*j - 53. Let z be -20 + (-2 + -2)\/(-2). Let v = -9 - z. What is the greatest common factor of j and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26006?\nAnswer: 2, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16015133 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 15*j + 8. Suppose 4*y = 33 + 23. Let f be l(y). Calculate the greatest common factor of 88 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v - 926 + 913 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -36*u - 2. Let o be f(-5). Let z = -91 + o. What is the remainder when 11 is divided by (-3)\/(-15) + z\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 54 = -4*l. Suppose -12 = -5*k + k. What is the highest common factor of k and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20ca320 (base 13) to base 8\nAnswer: 46160045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 7\/4, 4 in descending order.\nAnswer: 4, 7\/4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/((-108)\/(-28) - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1430 + 1465. Is -6 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -138*1*(-10)\/15. Suppose 0 = 9*d - 16 - a. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3253 - -6?\nAnswer: -324a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 9. Suppose 1 - 9 = -2*m. Let g = z + m. Let y(w) = -7*w - 1. Let p(x) = 6*x + 1. Give g*p(a) - 5*y(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 512544607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -673 by -415.\nAnswer: 673\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26949476 divided by -86?\nAnswer: 313366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323 + -200?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 less than or equal to 403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 14*c + 12. Let z be i(17). What is the highest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -910\/3 - -28186\/93. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1231272 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 4*d**2 - 5*d. Suppose -2*x = x - 2*w - 25, 0 = 4*x - w - 30. Suppose 52 - x = -9*o. Let c be t(o). What is c rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + t + 8, 0 = 3*m - 2*m - 4*t - 18. Let o be (2 - -1)\/(-3) - m. Is 70 - (0 - (4 + o)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20109 + -153?\nAnswer: 19956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60516 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.374 - -2.36628. Round r to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4100095 - 0.41. What is u rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfhwxfzzfszhxxxfsxxw. Give prob of picking 1 z and 3 x.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(sqrt(343) + 3) + 1 + (sqrt(343) - (1 + sqrt(343)*-3)))**2 + -4.\nAnswer: 224*sqrt(7) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(65)\/sqrt(5) + 3)**2.\nAnswer: 12*sqrt(13) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {m: 3, z: 1, k: 1, e: 4, p: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75399, -75592, -75785, -75978?\nAnswer: -76171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 0.2, 0.1 in ascending order.\nAnswer: -23, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185946 and 1020?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 1. Suppose 3*y = -n - 11, 2 + 13 = -5*y - 5*n. Let t be u(y). Let f(z) = t*z - z - 4*z. Let j(q) = 2*q. What is f(j(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -388, -1141, -2166, -3463?\n\"Answer: -136*s**2 - 345*s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.048, 4\/57 in descending order.\nAnswer: 2\/7, 4\/57, 0.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 5. Let p(x) = -x - 1. What is -9*p(w) + 2*r(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87294 (base 13) to base 3.\nAnswer: -110102011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 503339171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/4, -4 in descending order.\nAnswer: 1\/4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 + 189. Let k(l) = -1041 + l**2 + l - 3*l + 1039. Determine k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 428, 635, 842, 1049?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20792268 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.4 + -29.4. Let q(y) = y**2 + 6*y + 2. Let g be q(-6). Sort g, b, -3 in ascending order.\nAnswer: -3, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 3)*(3 + 4\/(-2)). Let j(c) = c**3 + 8*c**2 + 12*c + 2. Suppose -i + 1 - 7 = 0. Let t be j(i). Sort t, h, -3 in ascending order.\nAnswer: -3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4061 - 12632 = 3*a, -4*a - 11457 = -3*i. Let w = 1876\/4465 - 153265777\/53580. Let m = a - w. Find the common denominator of m and -79\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/20)\/9*(-8)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6187*y + 6193*y - 336 = 0. Suppose -k + 85 = 2*q, 4*q + 3*k - 110 = 59. What is the remainder when y is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 2\/9, -4, -1242, 5.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6869\/322 + 328\/23. Let v be 105\/6*(-16749)\/120. Let h = v - -2445. Calculate the common denominator of f and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 4)*(3*n - 2*n + n + (47 - 47 - 37*n)*(-2 + 5 - 2))*(1 + 5 - 4) in the form r*n + v and give r.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 466787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 2485*a**2 - 149071*a + 2798565.\nAnswer: -(a - 15)*(a + 77)*(a + 2423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((2\/(-12))\/((-4)\/(-12))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from zzzztzzzzzzzztt.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w - 544*w + 381*w - 289*w.\nAnswer: -486*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128161995 is divided by 524?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 619 + -617. Let w = 0.16 - 2.16. Which is the closest to w? (a) -3 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + (-3*sqrt(343) + -2 - sqrt(343) - sqrt(343)))**2.\nAnswer: 70*sqrt(7) + 8576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 7 + (202 - 209) + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109381661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:52 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 5*x**2 + 4*x - 8. Let i be j(-6). Suppose 6 = -3*d + d, 0 = 4*l + 3*d - 3. Is l at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (1\/1 - 8). Let a be ((-2608)\/32)\/(2\/l). Let r = a + -76. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/7 (b) 1 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -160. Which is the second biggest value? (a) -4 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 12:52 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yijbqyxx. Give prob of sequence yj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17068547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -40 - 45*a - 87*a - 81 + 9*a - a. Give d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -691795*q**5 + 371701*q**2.\nAnswer: -41507700*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25*y = -28*y - 1032972, 0 = 5*m + y - 1721602. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00059125 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 139 + (-52 - -25) - (2 - 1) - -16.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/8, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51875728, -103751460, -155627192, -207502924?\n\"Answer: -51875732*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*p + 19 = -2*r, -4*p - 23 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 16, -200, -416?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 260\/78*6\/4. Suppose -y*i - l - 1 = 0, -2 = 2*i + 2*l - 0. Which is smaller: 2\/67 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(240)\/((sqrt(16)*1 + sqrt(16))\/sqrt(2)))\/(-6*sqrt(18)\/sqrt(3) - (sqrt(72) - -2*sqrt(72))\/sqrt(12)).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/5)\/((-24)\/15 - -2). Suppose 5*m = g - 3, -j = 2*g + 2*g - 2*m. Suppose -p - 3*p = -16. Sort p, g, 2 in decreasing order.\nAnswer: p, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 10. Let k = 1911.7 + -1912. What is the fourth smallest value in k, u, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41697 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -7*b**3\/6 + 21*b**2\/2 + 2*b - 78. Let x be k(0). Solve 8 = 17*a - x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54801 - 37989. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(25\/50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 4*b**2 - 7*b - 6. Let k be d(-3). Suppose 1572860 = -k*r - 77146. Let s be r + (-4)\/(-16)*4. Round s to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**3 - k - 2. Let m(u) = 13*u**3 - 2*u - 3. Let s be (-11 + 8)*-2 + -8. Calculate s*m(c) + 3*a(c).\nAnswer: 13*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from vjsvj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -28. Let d = 2.5 - 6.5. Sort s, 5, d in ascending order.\nAnswer: d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 18053?\nAnswer: -1\/18053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 440 + -435. Let l(j) = -23*j + 116. Let h be l(x). Solve -2*f - 9 = -h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y. Let z = 276\/5 + -2383\/40. Calculate the common denominator of z and (-88)\/(-18) - (y + -1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 6. Let t(l) = -l + 1. Let s(o) = -6*t(o) - z(o). Let g(c) = 8 - 2 - 3 + 7*c. Calculate -g(f) + 6*s(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + i**4\/2 - 7*i**3\/6 + 3*i**2 + 9*i. Let w be (1*5)\/(4 - 3). Calculate o(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:59 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 73*u + 1036. Give o(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 294*v - 298*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/7))\/z)\/((z*z**(-1\/4))\/z)*(z**(2\/7)*z)\/(z\/z**0)*((z\/(z\/(z**(1\/11)\/z)))\/z**(3\/7))**(-6\/5) assuming z is positive.\nAnswer: z**(5057\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3. Suppose -z = 5*j + 870, -x*j - 5*z = -0*j + 500. Calculate the least common multiple of 10 and j\/(-21) - 2\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 2*m + 44 + 3 = 3*h - 6*m, 3*h + 2*m + 23 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(0*u**2 + 0*u**2 - 7*u**3) as z*u**2 + c*u**3 + k*u + q and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 375*j**2 + 375*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(2*s**2 - 2*s**2 + 3*s**2 + (2 - 2 - 2*s)*(-s - s + 3*s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25702a74 - 0?\nAnswer: 25702a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 34 + 166 = 0. Let a be (-4 - 2)*4\/(-6). Suppose a*k = k + b. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 151*t - 58*t = 3770 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, -196, -605, -1178, -1915, -2816?\n\"Answer: -82*z**2 + z + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 + 13*u**3 - 25*u**3 + 8*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21020000220 (base 3) to base 4\nAnswer: -202231203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001110010110010001110 (base 2) to base 10.\nAnswer: -6761614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u**2 - u - 210. Let y be l(0). Let m be ((-3)\/9)\/(2\/y). What is the highest common factor of 14 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44233, 88501, 132771, 177043?\nAnswer: 221317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n - 61. Let h be z(9). Suppose -1 = -2*i + m, h*i - 4*m = m - 3. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13371779 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011988208 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (38\/(-4) - -4)*-2. Put -5, 5, x in decreasing order.\nAnswer: x, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o**2 - 1. Let c(r) = 14*r**3 + r**2 + 1. Give 5*c(d) + 5*m(d).\nAnswer: 65*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/1188 and -163\/66924.\nAnswer: 200772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11504 = 1276*r - 41242 - 7266 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -52*r + 8. Let n(b) = -17*b + 3. Calculate -6*d(m) + 17*n(m).\nAnswer: 23*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.05 (c) 104 (d) -3\/2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 3*q - 4*q + 2 + (-1 + 0 + 3)*(4*q - 6*q + 0*q) - 5*q - 4*q + 2*q.\nAnswer: -9*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g + 4. Let x(c) = c - 1. Let l be x(g). Suppose 5*r = l, -y + 0*y + 5*r + 55 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l**2 - l - 1. Let m(y) = -3*y**3 + 11*y**2 - 5*y + 32. Let t(g) = -2*f(g) - m(g). List the prime factors of t(13).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*b**2 - 148*b**2 - 161*b**2 - 10*b + 470*b**2 - 7*b to the form v + u*b**2 + n*b and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.06, 0.05, -10, 0, 127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 6*p + 9*p + 4 = 0, -h - 16 = 3*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - d = -14, 4*q + 5 - 29 = -d. Suppose -3*h = -4*h, q*h = -2*y + 38. Let v be (2 - 1)\/((-2)\/(-38)). What is the greatest common factor of y and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/4 + 1399*m\/2 - 2799\/4 = 0.\nAnswer: -2799, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1023 and -0.044125.\nAnswer: -1023.044125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4697 and 37576.\nAnswer: 37576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/126)\/((4\/(-14))\/((-1600)\/1440))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 + 3.3. What is the nearest to 1 in 4, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2828*u + 1545*u = -1102*u - 76650 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1329 = 3*r, 208*r + 1335 = 211*r - 2*k. Calculate the remainder when r is divided by 172.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 10 + 3*o**3 - o**3 - 2*o + (0 + o + 0)*(-76*o**2 - 165*o**2 - 125*o**2).\nAnswer: -364*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 = -q + 38*q - 25 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10 + 147*a - 287*a + 4 + 141*a. Let q be k(-5). Let t(v) = v**3 - 8*v**2 + 8*v - 22. Is t(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(114) - sqrt(114)*-2) + sqrt(114))*-4)\/(sqrt(600) - sqrt(600)*1 - sqrt(60)\/(sqrt(50)\/sqrt(5))).\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11301001 (base 4) to base 12\nAnswer: 11801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 176 times -0.948\nAnswer: -166.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1 - 4 + 1 + 4 - 2 + 1 - 1 + (-3 + 1 + 0)*(-2 - 1 + 1) - 4 + 3 + 7)*(-o + 5 - 5).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-232)\/(-4)*18\/2. Suppose 3*y - 1553 = -2*c, -y + 5*c = -2*y + r. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1769.1 + -2\nAnswer: -1771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1605 and 23754.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -46*c**3 - 5*c**2 - 2*c + 1. Let t be k(2). Let d be (-46)\/t + 584\/238. Determine m so that 54\/7 + d*m**2 + 54\/7*m + 2\/7*m**3 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 0.54. Let s(p) = -p**3 + 3*p**2 - 1. Let h be s(2). Let f = 7227 + -7222. Which is the biggest value? (a) 0.2 (b) h (c) r (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*(-8)\/(-24) - ((4 - 5) + 5). Solve 5*h - z*i = -2*i - 8, -3*h - 10 = 4*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:54 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 711, 1601, 2489, 3375, 4259, 5141, 6021?\nAnswer: 6899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1766318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 964, 1447, 1930, 2413?\nAnswer: 2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 40 + 20 = 0. Suppose 0 = -2*i - i - m. Sort -1, i, 2.\nAnswer: i, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -404 + 1613\/4. Which is the closest to m? (a) 0.4 (b) 0.3 (c) 0.03 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 4. Let l = 5.01 + h. Let r = 4.1 + -4. Is l less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36620?\nAnswer: 2, 5, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, 1\/7, -0.02?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 432 and 380744.\nAnswer: 20560176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2352089058 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.93542 rounded to 2 decimal places?\nAnswer: -9.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 106*c - 116. Let j be w(-54). Let z(h) = -h**2 - 5*h + 24. What is z(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, d: 2, k: 6}. What is prob of sequence sk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 156*k + 471. What are the prime factors of z(80)?\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*m**2 - 6*m**2 - 10*m**3 - 44*m + 49*m to x + y*m + n*m**2 + t*m**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/830 and ((-68)\/272)\/((-10)\/73).\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (12 + 15 + -7)) + 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.05, 1\/6, -4\/7, -8\/7, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44208, 44220, 44232?\n\"Answer: 12*c + 44196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 1, p: 2, l: 1, e: 2, o: 1}. What is prob of sequence pep?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-44) - (3007\/(-1940) + (-45)\/(-25)).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17129523970 rounded to the nearest one million?\nAnswer: -17130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652 + 306 + 6*t + 346.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000581869648 rounded to six dps?\nAnswer: -0.000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)\/z*z*z\/(z**(2\/11)\/z)*z)\/(z**(2\/15))**(-37) assuming z is positive.\nAnswer: z**(10727\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-12 + 13)) + (5 - -2) - -25.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:01 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0*y**3 - 1\/12*y**5 + 0 + 0*y + 0*y**4 + 16*y**2. Let k(r) = r. Give v(k(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.8 + -15.8. Which is the closest to -5\/12? (a) n (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269 divided by -104\nAnswer: 269\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12532356 (base 8) in base 16?\nAnswer: 2ab4ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 9. Suppose 3*z = 3*v - 9, 30 = -v + 4*v + u*z. Suppose 0 = l - v - 7. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apdaaaaaapoaatdpt. What is prob of sequence aa?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 2 + 1)\/1. Let b(m) = -7*m - 2. Let v be b(k). Is 221\/4 - 3\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/9 + 12161086*j\/9 + 12161084\/9 = 0. Calculate j.\nAnswer: -6080542, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 90 = -19*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -5041*y**3\/6 + 247*y**2 - 4599*y. Find the first derivative of k(m) wrt m.\nAnswer: -5041","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ctptdtpptittttcpcct.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683258 is divided by 1582.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 271*w**2 + 34*w - 187. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(8*(-5)\/(-9160)). Let w = n + 488. What is the lowest common multiple of w and (-2)\/(-8) + 382\/8?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 318, 55 in descending order.\nAnswer: 318, 55, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}