diff --git "a/data/dm_maths/full_data_1/10485_11255.jsonl" "b/data/dm_maths/full_data_1/10485_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10485_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange -14*c + 14*c + 3*c**2 + (-2 + 1 + 2)*(-3*c**2 + 0*c**2 + 2*c**2) - 2*c**2 + 0*c**2 + 3*c**2 to the form d + h*c + w*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 31, -1\/4 in ascending order.\nAnswer: -85, -1\/4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -747394?\nAnswer: -1\/747394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 765551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181559 is divided by 90779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*i**4 - 63*i**3*p + 9894*p with respect to i.\nAnswer: -56*i**3 - 189*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -62.687.\nAnswer: 18.8061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 85 = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.214302149 - 95995.786247851. Let h = 96000 + t. Let g = h - 2. What is g rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/((-4)\/(-30)). Solve -o - 3*r = -t, 5*o + r - 30 = -4*r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-28)*u**(2\/11))**(3\/4) assuming u is positive.\nAnswer: u**(-459\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21688829 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100100101 (base 2) to base 6.\nAnswer: 25541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, -232, -4\/11 in descending order.\nAnswer: 2\/45, -4\/11, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 2*y - 28, -14*y + 6*y + 28*y - 100 = 3*p - 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 - 4*d - 2. Let p(j) = 3*j**2 + 3*j + 2. Give 4*p(q) + 3*t(q).\nAnswer: 3*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 3*l = -16*c - 13, 4*c = 2*l + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*p + 6*p - 801 + 2705 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/1260*15*16\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1326, 1706, 2336, 3216, 4346, 5726?\n\"Answer: 125*v**2 + 5*v + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010723 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -358*c - 1252. Determine o(5).\nAnswer: -3042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:18 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 36099 - 2*z - 36013.\nAnswer: 3*z + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42864 and 19383?\nAnswer: 276944304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -1\/4141, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u + 11\/6*u**3 + 1\/24*u**4 + 23*u**2 + 0. Let p be ((-6)\/(-2))\/(-3) + -8. Determine w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 9, 104 in decreasing order.\nAnswer: 104, 9, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 3:34 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -45, -88, -147, -222, -313, -420?\n\"Answer: -8*l**2 - 3*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*k = -3*u - 2199, u + k + 739 = 0. Let g = u - -4267. Suppose 7*v + g = 10*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 16*j**2 + 15*j - 8. Let w be l(15). Let u = 7 + w. Put u, -6, 1 in decreasing order.\nAnswer: 1, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1454?\nAnswer: -1454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(-3 + (-36)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 + 4*b**3 + 19*b**3 - 10*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.19 + 198.19. Let z = w - 197.53. Let i = -0.03 + z. Round i to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 49813*z - 236. Let g be n(-28). What is g rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*s + 5*g, 3419*s - 3416*s - g = 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-7 - -9) + (-108 - -121).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3904466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -894 (c) -2 (d) -0.12 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-20)\/(-12). Let n be 36\/(-17) + 4 + t. Suppose -5*u = -k - 16, 2*k = -3*u - 0*k + 7. What is the nearest to 0 in n, -5\/6, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8591 - 8591.1. Suppose 4*x - 650 = 70. Let q be 4\/(-18) + 76\/x. What is the nearest to 1\/2 in a, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10382969*y - 7371 = -10383242*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8800.18 nanograms to tonnes.\nAnswer: 0.00000000000880018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21267220297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 252 - 252. Sort -19, t, -3, -3\/5 in decreasing order.\nAnswer: t, -3\/5, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 9*k**2 + 2*k + 7. Let p(t) = -2*t**3 - 11*t**2 + 2*t + 9. Calculate 5*i(b) - 4*p(b).\nAnswer: -2*b**3 - b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 69086 = 193*t + 53066 for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j - 13 + 10 + 11 + 41. Let p be f(4). Solve 11 = c + p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.085 - 0.402. Let x = h + -59.913. Round x to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(171)\/sqrt(9) + sqrt(19) + (sqrt(19) - 6*sqrt(95)\/sqrt(5)) - (sqrt(57) + 2*sqrt(57)*2 + sqrt(57))\/(sqrt(12)\/sqrt(4)*-5).\nAnswer: -9*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29)\/(-2) - 2\/(-4). Solve 0*x = -5*x + y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 23919276.\nAnswer: 263112036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-15)\/(-9)) + -8 - 3. Let x(z) = -6*z**3 + z**2 - 12*z - 11. Is x(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119493818*2\nAnswer: 238987636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 8:12 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-22)\/(528\/36))\/(9\/(-2004)) is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6 = 7*f. Let p(d) = 4*d + 1. What is the remainder when 24 is divided by p(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7767815\/252 - -30825. Calculate the common denominator of c and -101\/20.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 43*m - 997 = -3*h, 2*m - 333 = -h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356878 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n - 11. Let r(l) = 15*l + 22. Let i(j) = -13*q(j) - 6*r(j). Let h be i(-10). What is the greatest common divisor of 7 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/5 + 136*i**2\/5 - 4189*i\/5 - 30246\/5 = 0. What is i?\nAnswer: -6, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1198 - -1470. Is -8 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (41 - (-17 - -46)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.4, 2\/61, 1.01, 9 in increasing order.\nAnswer: -4, -0.4, 2\/61, 1.01, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 50832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 103110310?\nAnswer: -103110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 7:29 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*o - 107*o + 3*o - 23*o.\nAnswer: -237*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34320509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 357, 371, 399, 447, 521, 627?\n\"Answer: v**3 + v**2 + 4*v + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 21*f - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -22*w**2. Let d(y) = 9*y**2. Let t(u) = 5*d(u) + 2*z(u). Suppose 0 = 2*v + 2*j - j + 1, 2*v + 11 = -3*j. Let i(h) = 2 - 2*h**2 - v. Give i(t(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42747, -68144, -93541, -118938?\nAnswer: -144335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/15620*-1*(-4)\/3. Let c = -5353\/27335 + p. Find the common denominator of -17\/14 and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19167 * 0.39\nAnswer: 0.0747513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -13, -1064221 in ascending order.\nAnswer: -1064221, -13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.654 * 14.\nAnswer: 9.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let g(t) be the third derivative of 831*t**5\/20 + 1362*t**2. Determine a(g(q)).\nAnswer: -6215049*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 71. Suppose -6*c + 65 - j = 0. Let s = 28 - 3. Calculate the highest common factor of s and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 93*j**4\/8 + 3*j**3\/2 + 17*j**2. Let l be a(-3). What are the prime factors of l\/(-7) - (-16)\/(-56)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8223 or 8221?\nAnswer: 8221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/7 of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 33 = 492 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + n + 7*n - 8*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 3\/7, 3, -1, 0.1, 5 in decreasing order.\nAnswer: 42, 5, 3, 3\/7, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 986417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*x**2 + 872*i**2*x**2 - 469*i**2 - 2*i*x**2 + 2730*i*x + 9*x**2 - 2 wrt i?\nAnswer: -18*i*x**2 + 1744*x**2 - 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/65 and -81\/9040.\nAnswer: 117520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lijljwwwjlirwiliwlil. Give prob of sequence wr.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 + 5)*(z - z - 2*z)*(42 + 6*z - 42) to the form w*z**2 + j + c*z and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2. Let t(m) = -82515*m**2. Determine t(s(k)).\nAnswer: -1320240*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 1, -4, 3 in ascending order.\nAnswer: -4, 1, 3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 0, 2, 14, 42, 92, 170, 282?\n\"Answer: h**3 - 4*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*g + 211, -4*g - 21 = -r + 11. Let z = -46 + r. Let d = z + 5. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7081 + 7078. Let t = -2 - -1.8. Let k = t - -0.2. Put k, i, 0.3 in increasing order.\nAnswer: i, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - y**2 - 2*y + 4*y**2 to the form t*y**2 + s*y + f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304 + -258. What is the greatest common divisor of p and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2514\/(-4))\/((-90)\/(-10)). Let l = -70 - b. What is the closest to 0.1 in l, 3, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 2\/3*k**3 - 4*k + 0 + 1\/5*k**5 + 0*k**4 + 0*k**2. Find the second derivative of d(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 2, -3*s - f + 7 = 0. Let t(i) = 2 - i + i**3 - 7 - 4*i**s + 5 + 2. Calculate t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 11*j**2 + (4*j + 4*j - 5*j)*(-j + 3*j - 3*j))*(3*j + j**2 - 4*j + 4*j).\nAnswer: 8*j**4 + 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + -2*(sqrt(72)\/sqrt(6)*1)\/(sqrt(300)\/sqrt(2)))*-4.\nAnswer: -8 + 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1446476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5732, 5700, 5634, 5522, 5352, 5112?\n\"Answer: -2*f**3 - 5*f**2 - 3*f + 5742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123906 + -743473\/6. Calculate the common denominator of t and ((-122)\/120 - -1) + 0.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6172 + -6184. Let a(o) = o**3 + 14*o**2 + 26*o + 17. What is a(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0053442742 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:44 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 9 in decreasing order.\nAnswer: 9, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*w**3*z**2 - 144*w**2*z**2 + 284*z**2 + 2*z with respect to w.\nAnswer: -15*w**2*z**2 - 288*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/((z*z**(-1))\/z))**(5\/14) assuming z is positive.\nAnswer: z**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let k(w) = 8*w - 2. Suppose 17 = -6*a + 107. Let t(r) = -5 + 6 + 4 - a*r. Let j(x) = 10*k(x) + 4*t(x). Determine p(j(l)).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.3 (c) 0.8 (d) 3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:35 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (34 - (-52 + 103))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 3*t - 3*t - 50 + 42 + 8.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58749\/9 + ((-80)\/15)\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 32*x + 0 - 88 = 0. Solve x*j = 15 + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 36.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {e: 1, a: 1, m: 1, v: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/7 - 78*i**3\/7 + 360*i**2\/7.\nAnswer: -3*i**2*(i - 4)*(i + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437937?\nAnswer: 3, 17, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52341 and 657?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -972?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.006 - -2.994. Let u = 9.15 + -9.05. Let p = -145\/94 - -2\/47. What is the smallest value in p, y, u, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1570\/16 + 11\/(-88). Let d = z + -43. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*n - 222 + 58 = 0, -y + 59 = -5*n. Suppose -4*h - 92 = -4*l, 3*h = -5*l + y + 116. Let t = -17 + l. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-4 - (10 + -13 + -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/10 + 1 + 136\/(-30). Let t = -4 - h. Let -t*o**3 + 0 + 0*o + 0*o**2 = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 537.5103 milliseconds?\nAnswer: 0.5375103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + 2) - (12 - 17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-8)\/4)\/1. Let j(q) = v*q**2 - q**2 + 5 + q**3 - 3*q + 0*q**2 + 4*q**2. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*j - 23 = 0, 3*p - 2*j = -p + 18. Suppose -p*d = -d - 46. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c**3 + 3*c**3 - 37*c**3.\nAnswer: -82*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i**2 - 9 + 9 + 89*i**2 - 64*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17589136*o**2 - 20*o**3 - 17589136*o**2.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/6)*f\/(f*f*(f**1*f)\/f*f)*f**6*f**1\/f assuming f is positive.\nAnswer: f**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*m + 125*m - 1 - 29*m + 12*m as i + o*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -372, -751, -1144, -1557, -1996?\n\"Answer: -r**3 - r**2 - 369*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -4109.\nAnswer: -4109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 24.2. Let y = -19 - -17. Put 1\/4, h, y, 1 in decreasing order.\nAnswer: 1, 1\/4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 3)*(-1 + 1 - h**2) + 0*h**2 + 3*h**2 - 2*h**2 + (-3 + 1 + 3)*(-h**2 + 0*h**2 + 3*h**2).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*j**4 - 100*j wrt j?\nAnswer: -1428*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/6 + 6*j. Determine b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97010?\nAnswer: 2, 5, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155 and 80?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 242423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.422 + -0.2089197795.\nAnswer: -18.6309197795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 24*k + 95. Determine d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, k: 1, n: 1, t: 2, u: 1}. Give prob of picking 1 p and 1 t.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - (-16 + 5 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/(((s**(6\/5)\/s)\/s)\/s))*s**(-5)*s**(-2\/29)*s**(3\/2) assuming s is positive.\nAnswer: s**(-1847\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261986 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11100001100100000111 (base 2) to base 14\nAnswer: 1a09b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 18*u = -21*u - 316, -4*u = 4*i - 272. Calculate the remainder when 131 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 14. Let k(w) = -w**3 + 0*w**3 - 5*w**2 - 4 + 2*w**3 + s*w. Suppose 4*o - 34 = -5*c - 7, 5*c - 24 = -3*o. Give k(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10211768800780 and -0.2?\nAnswer: 10211768800780.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(35\/5))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-8)*102312\/(-13230)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:48 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-650)\/165 - -4)\/(-2).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 24 - 2*i - 8 + 12. Let v(l) = -2*l**2 - 12*l + 1. Let q be v(-7). Calculate the remainder when j(q) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(104) + sqrt(104))*5)\/(-1*sqrt(32)\/sqrt(4) - (-2*sqrt(80))\/sqrt(10)).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 3*g**2 - 14*g + 71. Let d be b(5). Suppose 3*y - 5*p - 28 = -2, -4*p + 105 = 5*y. What is the greatest common divisor of d and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.053267*-8.\nAnswer: -120.426136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41652 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 - -0.328526502?\nAnswer: 121.328526502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(396) + -4)**2 + -1.\nAnswer: -72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(0 + -2 + 4). Calculate the remainder when (-12)\/8 + (-77)\/(-2) is divided by 2*f\/(-13) - 132\/(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2565131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 7 - 8 + 2*u**3 - 2 to j*u**3 + h*u + f + z*u**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*m + 7 - 3, 0 = -m - f - 1. Let w(s) be the third derivative of 0 + 0*s**4 + 0*s**5 + 4*s**2 + 7\/6*s**3 - 1\/120*s**6 + 0*s. What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6773.4819 minutes to days.\nAnswer: 4.703806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 255 + -260. What is the units digit of c + (237 + -8 - (2 + -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/181 (b) 0.3 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-6)\/63*(-9)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 42612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442*s**4 + 2*s**2 + 144*s wrt s?\nAnswer: 10608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppip when four letters picked without replacement from ioiiiipiiippioipiioo.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.53 - 0.03. Let d = -0.2 + m. Let r = 4.6 + 0.4. Which is the nearest to 0? (a) r (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(7150\/374) - (-78)\/169)\/(2 + -15).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = -37*z + 106, c - 4*c + 2*c - 64 = 4*c - 6*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*(-4)\/16*-12. Suppose 0 = 11*c - 2*c - o. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(((-99)\/352)\/((-3129)\/(-596)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.71 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.167166192 to five decimal places.\nAnswer: -0.16717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from rrrrrkrkkkrrkrrrkkr.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 234457 - -52?\nAnswer: 234520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {c: 5, e: 3, m: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14829.1 - -14828. Do n and 479 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uquq when four letters picked without replacement from uqqquuququuquqquqquq?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by ((-1274)\/(-196))\/((-1)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*j + 28, 57 = -4*r + 8*r - 3*j. What is the highest common factor of r and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 4. Let x(n) = 2*n - 9. Let y(z) = 7*a(z) - 4*x(z). Let d be y(8). Factor -2\/9*u**2 + d + 2\/9*u.\nAnswer: -2*u*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -659, -957, -749, 325, 2625?\nAnswer: 6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5646 (base 7) to base 16\nAnswer: 7fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 912996 and 2307851.\nAnswer: 83082636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 11*b - 40. Let o be p(14). Which is bigger: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/50*(6125\/150)\/49.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 3*4\/(-4). Suppose 0*z = 5*z - 255. Suppose 0 = 4*o - z + u. What is the highest common factor of o and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from fennnentnyyve.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 9*r**2 + 8*r + 1. Let j be h(8). Let a be (-2 + 8)\/2 - j. Is ((-4)\/a)\/(3\/(-15)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3924*l**6 - 4*l**4 - l**3 + 24*l**2 - 386?\nAnswer: -470880*l**3 - 96*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-34)*(s**(-18)\/s)\/s)\/(s**(3\/7)\/(s\/(s**(-6\/13)*s))) assuming s is positive.\nAnswer: s**(1368\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 51*l - 188. Let o be x(4). Solve -7*n + o*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*b - 9, 6 + 0 = 2*p - 5*b. Suppose 0 = 2*h - 0 - 84. Let v be (-10)\/h - (-1)\/(-3). What is the nearest to -1 in v, -2\/5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94161 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-3) - (4 + 22\/(-6)). What is the third derivative of 25*y**6 + f*y**2 - 74 - 4*y**6 + 74 wrt y?\nAnswer: 2520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.3. Let g = -4782.2 - -4782. Sort -0.01, 2\/7, g, i in descending order.\nAnswer: 2\/7, i, -0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 35) + -18 + 5 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.109 - 12.109. Let p = 11.9 + d. What is the third biggest value in 2\/9, 0.21, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (290\/29)\/(5\/3098)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12251, -25428, -38617, -51824, -65055, -78316, -91613?\n\"Answer: -i**3 - 13170*i + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/4 + 5161*g**4\/4 + 36193*g**3\/4 - 87865*g**2\/4 + 11628*g = 0.\nAnswer: -9, 0, 1, 5168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -256. Let c(f) = f**3 - 11*f**2 + 4*f - 26. What is the remainder when z is divided by c(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7930540 and 1807.\nAnswer: 7932347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h - 48. Give u(-8).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 104*c**2 + 4013*c + 6075. Give s(-37).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 3. Let g be j(-1). Solve 0 = 3*x - g + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x - 4*j, 4*j = -x + 2 - 0. Let v be 4 + (-12)\/8*4. Calculate the remainder when (107\/v)\/((-7)\/14) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24156*p + 24129. Determine k(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, j: 1, f: 2, l: 1, r: 1}. What is prob of picking 1 s and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18.53? (a) -0.1 (b) 1\/8 (c) -5 (d) -1\/11 (e) 835\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/4920 and 139\/5740.\nAnswer: 34440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c - 11. Let i be 220\/(-12) - (-44)\/(-12). Let p(a) = a - 1. Calculate i*p(t) + 2*k(t).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15394 = -4*p + 3*a, -p = -2*p + 5*a + 3840. Is p a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 22. Let p(w) = w + 10. Let x be p(-7). Solve -x*g = -v*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 63. Is o greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 12 + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(-4 + -5 + 4 + -1 + sqrt(1700)) + 2)**2.\nAnswer: -27360*sqrt(17) + 375864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24998057647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1810*f - 1802*f + 3 + 3493*f)*(7*f**2 + f**2 - 3*f**2).\nAnswer: -595*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 - 76 = 4*b. Let h be 4\/5 + 272877696\/b. Let v = h - 6060972. Round v to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -122\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -7930.\nAnswer: -7930, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, -0.16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26677 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 + m - 4. Let g be y(-4). Suppose x - g = -4. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 30. Let p(y) = -y**3 + 19*y**2 - 19*y + 28. Let v be p(18). Suppose 24*c = 19*c + v. Solve 5 = -c*b - i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2086086 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173 or 1\/295873?\nAnswer: 1\/295873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 3*a + 3*a)*(3 + 0 - 1) + 0*a + 0*a - 2*a + 2*a - 4 + a - 5*a + a - 2*a - a + (2 + 0 + 0)*(-a - 2*a + a) + 0*a - 2*a + 3*a to t + s*a and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 24*n**2. Let l(s) = -29*s**2. What is l(i(p))?\nAnswer: -16704*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - 0.1. Let d = -1.1 - g. Let m = -0.1 + -4.9. Which is the nearest to d? (a) -1 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3.023664\nAnswer: -9.070992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u + 3 - 20*u - 1. Let g(z) = 11 + 5*z - 4*z + 4*z. Give -4*g(i) + 22*j(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -35 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1483\/2 + 723. Calculate the common denominator of i and -81\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 + -131. Let k(c) = 2*c**2 + 7*c + 5. Let m(y) = -2*y**2 - 8*y - 6. What is n*m(x) - 5*k(x)?\nAnswer: -2*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 140. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -740 or -743?\nAnswer: -740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -7\/10 (b) 5 (c) 1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -10*v + v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45551400 and 12.\nAnswer: 45551400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234 != 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64638 is divided by 404?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -176 - 3346?\nAnswer: -34bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*g + 35 - 32*g + 50*g + 2*g**4 wrt g.\nAnswer: 8*g**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 38. Let u = i - 36. Let y = u - -70. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.3 (b) 2 (c) 15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine quarters of a century?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 4*i**2 - 2*i + 4. Let z be s(4). Let v = z + 4. Solve 2*k + 4 = -v*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5756729802 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2916\/15 + (-4)\/10. Let x be -114 - (1 + -1)\/(-1). Let m = x + v. Round m to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639461813 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -145*v - 276*v - 9561 + 2825 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 12, 4*m - 27 = 3*g - 15 - 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*2)\/(15 - 17). Calculate the greatest common divisor of 27 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.17 - 28. Let l = 0.1700072 - q. What is l rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 - h - 1. Let m be a(2). Let r(j) = m + 18*j - 17*j + 2 + 26. Let w be r(23). Calculate the greatest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1314513694 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6094, -5853, -5436, -4831, -4026?\n\"Answer: 2*n**3 + 76*n**2 - n - 6171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6182533?\nAnswer: 7, 61, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h**2 + 47*h - 90. Let r be a(7). Which is smaller: r or -1496\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53684*v**4 - 143*v**3 - 4532457 wrt v.\nAnswer: -214736*v**3 - 429*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/(6\/40). Let d(z) = -z**3 - 11*z**2 - 13*z - 14. Is 13 a factor of d(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -22*s + 981. Let k(n) = -16*n + 985. Calculate -4*k(p) + 3*u(p).\nAnswer: -2*p - 997","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 + 8*j - 15*j + 7*j.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/10 + (-1484)\/8480. Solve o*v**2 + 0 + 1\/8*v = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198336, 396695, 595054, 793413, 991772?\nAnswer: 1190131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72917 and 23998?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 104*i**2. Let h(d) = 4*d. Determine m(h(c)).\nAnswer: 1664*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*20\/24*-9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -57*y**2 - 1\/4*y**5 + 0*y + 0*y**3 - 21\/8*y**4 - 1\/40*y**6 - 1. Find the second derivative of x(s) wrt s.\nAnswer: -18*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*o + 15, 0 = -k + 3*o - 2 + 7. Suppose 0 = -k*b + q + 144, -47 - 85 = -5*b - 2*q. Does 15 divide -8*b\/8*15\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 5\/((-15)\/6). Suppose 3*y + 2*y - 20 = f. Suppose y*x + 4 = -12. Which is the second smallest value? (a) -5 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5519120 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.941516 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/5, -6, 2\/133, -34?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 17.1. Let n = q + 16.6. Which is the second biggest value? (a) -2 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 - 175*b**2 + 175*b**2.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 23892*m**3 + 11*m**2 - 100*m + 284. Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from jqjxwwtxqqvwj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -97 - (26 + (-137 - -37))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1763 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + -0.54. Let o = 3.74 + t. What is the third smallest value in 0, 2, -1\/7, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76310445109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*b + 118 = 0, -a + 3 + 8 = 5*b. Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 23*s**2 - 20*s + 122. What is w(-24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3*n**2 + 28*l**2 + 2*l*n**2 - 5*l wrt l?\nAnswer: 18*l*n**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35333341 - -20?\nAnswer: 35333401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/11 in 4, 1, 9160?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**3\/3 - 9*u**2 - 4*u - 7. Let m be s(19). Suppose -7*a + m = -13. Solve -3*l - l = -a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 9?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*v + 3 + 6, 0 = 5*t - v - 7. Factor t*y**4 + 11*y**3 + y**2 - 7*y**3 + y**2.\nAnswer: 2*y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201\/12 - 1\/(-4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 513, 4, 26.\nAnswer: 4, 26, 126, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 2035*a + 116610.\nAnswer: 5*(a + 69)*(a + 338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105838?\nAnswer: 2, 52919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*v - 65*v - 132*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -49 + 46. Is o >= 1\/1756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-8\/3)*g)\/g)\/g*g*g**20*g)**(8\/11) assuming g is positive.\nAnswer: g**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38017 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 27.2. Let o = -40 + a. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40547\/42570 - 4\/1935. Find the common denominator of h and -15*(-6)\/(-12) - -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19136.2 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82032 and 20?\nAnswer: 410160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/59 + 106\/177. Put 2, h, -5 in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316601.\nAnswer: 73, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -b + 2*x, 2*b + 6 = -0*b + 3*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 8:34 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose 4*c + y*x + 18 = 0, -c - 39 = 3*c - 5*x. Let o(w) = 62*w + 2 - 6 + w**3 - 57*w - 3 + 7*w**2. What is o(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + 2280*x**3 + 1 - 2*x - 2*x**2 - 5*x**4 - x**4 - 2279*x**3 to the form l*x**3 + m + v*x**2 + f*x**4 + z*x and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 25*s - 4. Which is bigger: -3\/4 or s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41873794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2939, -2888, -2799, -2678, -2531, -2364?\n\"Answer: -k**3 + 25*k**2 - 17*k - 2946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7049\/18 + -2351\/6. What is the closest to a in 1\/2, 1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 62 - 71 = -3*i, -2*i + 6 = -5*k. Sort -5, -4, 50, i in descending order.\nAnswer: 50, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(1840\/(-50))*4)\/((-5)\/28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylyhhqhqehzhlhh. What is prob of sequence zey?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = 3*i. Let b be 6 + -2 + -2 + 2. Suppose -2*t + 18 = -b*f, 3*t - 2 = -f - 3. Solve -4 = i*y + t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s. Let c(i) = -4*i**2 + 8*i. Let w(m) = c(m) + 8*y(m). Let o(q) = 0 + 0 - 3*q. What is o(w(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/b)**17\/((b**(3\/2)\/b)\/((b\/b**6)\/b)))**(2\/71) assuming b is positive.\nAnswer: b**(-303\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, 1 in increasing order.\nAnswer: -31, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1399139178 to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -724 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1242\/5 - -252. Factor 12\/5*v + o + 2\/5*v**2.\nAnswer: 2*(v + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 46026618?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4039, 3694, 3103, 2260, 1159, -206, -1841, -3752?\nAnswer: -5945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/6 + 3*w - 1. Let f(n) be the first derivative of z(n). Factor f(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.1 + 8. What is the nearest to -0.1 in -5, 3\/8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1742 = -5228\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j - 63*j + 846 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 31, -1 in descending order.\nAnswer: 31, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:41 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*m**2 + 2*m**2 + 127*m - 129*m + 58*m**2 + m**2 - m**3 as p*m**2 + b*m**3 + h*m + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 19. Let u(g) = 2*g - 11. Let y be u(i). Suppose -195 = -y*b - 3*s, 4*b = -s + 158 + 5. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-4))\/(-119)*-2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18055 and 4.\nAnswer: 72220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 3*j**2 - 3*j**2)*(-4*j + 6 - 6) - j**3 + 6*j**3 - 2*j**3.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -176009\/7, 1, -1 in ascending order.\nAnswer: -176009\/7, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744480, -744490, -744486, -744462, -744412, -744330, -744210?\nAnswer: -744046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 475 = -0*o + 5*o, 2*u + 5*o = 197. What is the remainder when u is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 1. Let h(v) = v**2 - 21*v - 33. Let g(x) = -h(x) - 2*k(x). Let a be g(25). Round a to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + 75. Let i be (z + 0 + -1)*(-15)\/6. Let t = i - -380. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 239*z - 4*z**2 + 2*z**2 + z**2 - 161*z**3 + 165*z**3 in the form b*z**2 + q*z + a*z**3 + l and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 14482*v\/5 + 2051660.\nAnswer: -2*(v - 7891)*(v + 650)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6 + 6. Suppose 0 = -t*k - 0 + 12. Solve k*y + 5*b + 25 - 5 = 0, -3*b - 12 = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102 (base 5) to base 3.\nAnswer: 101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)*v)**13)**45\/(((v*v\/v**(2\/5))\/v)**5*v**(1\/2)*v**(-3)) assuming v is positive.\nAnswer: v**(701\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - (76 + -42)) + 34 + -5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*f + 88 + 201321*f**2 + 470*f + 20 - 201320*f**2.\nAnswer: f**2 + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 326576 (b) 11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z - 1613 - 34*z + 178*z - 29*z - 26*z - 56*z.\nAnswer: -z - 1613","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3442, -3510, -3582, -3658, -3738?\n\"Answer: -2*o**2 - 62*o - 3378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -263764 divided by -1081\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4523 - 2?\nAnswer: 4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*w**2*z - 23*n**2*w**2 + 11*n**2*z - 8*n**2 + 2*n*w**2*z + n*w**2 wrt z?\nAnswer: n**2*w**2 + 11*n**2 + 2*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18324 = -2544*l + 2540*l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 + 9*o - 8. Give b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 4*j + 4*j)*(0 - 4 + 2 + (-2 + 1 + 2)*(0 + 6 - 4) - 1 + 0 - 1 + 16 + 8 - 7).\nAnswer: 45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)*i\/i**(-2\/7))\/((i\/(i*i**(2\/5)*i))\/(i\/i**3)) assuming i is positive.\nAnswer: i**(61\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjly. What is prob of picking 4 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 83705669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1036*f**3*o**2*v + 3*f**3*v**2 - 69*f**3 - 513*f*o**2*v**2 - 2*f*v**2 - o**2*v wrt v.\nAnswer: 6*f**3 - 1026*f*o**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) -2 (b) 0.3 (c) 4 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*p = -58 + 631, 5*p = 5*c - 600. What is the greatest common divisor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -33. Suppose w = -20*q + 19*q - 1. Let y = 1.95 - -0.05. Sort y, 0.2, q in decreasing order.\nAnswer: y, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 10*l**2 + 9*l - 25. Calculate k(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3)*-49 + 15\/45. Let b be (-12)\/q*(-16)\/(-12)*6. Suppose 8 = b*y - 16. Solve 0*u - u = -4*o + 4, y*o + 5*u + 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -72\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -88*f**2 - 18651*f + 349. Determine m(-212).\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322.9174877902 - -0.0824457098. Let f = h - 323. Round f to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 + 2)*(0 + 1931*b + 0 - 168*b) to x*b + y and give x.\nAnswer: -15867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -3366 divided by 2?\nAnswer: -1683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from susufsusssssoss?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {e: 5, d: 7, x: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 428 + -351. Suppose 4*o - k - 108 = 0, -c - 55 = -5*o + 2*k. Solve -4*u = -36 + o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-8))\/((-46)\/(-92)). Let a(l) = -5*l**2 + 10*l - 5. Let w(j) = 14*j**2 - 29*j + 14. Let d(i) = 11*a(i) + 4*w(i). Give d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/(6\/40)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - -2) + -758 + 697?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**3 + 6*r. Let g(u) = 431*u**2 - 180*u**2 + u**3 - 251*u**2 - u. What is 6*g(c) + i(c)?\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1040*u - 1032*u - 24. Solve 3*v + v = u*z, 0 = -v + 4*z + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -971*r**2. Let g(i) = -6*i**2 + 276*i. What is g(p(n))?\nAnswer: -5657046*n**4 - 267996*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 26. Suppose -3*d = 4*i + k, -i + 2*d + 4 = 2*i. Solve i = -g - 2 + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.84 + 1.04. What is the closest to 0.1 in 0.4, 2, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -6318.203?\nAnswer: 18954.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19\/54 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 16.8. Let i be (62\/230)\/(-1)*5\/4. Let h = i - -2\/23. Is o < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 74 + 52 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 7:30 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 2*z + z + 6*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 120*c**3 - 875*c**2 - 750*c.\nAnswer: 5*c*(c - 30)*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/20 and 99\/2914.\nAnswer: 29140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 120 = -39. Let h be t\/36*(-8)\/2. Suppose -4*n - h*q + 76 = q, n - 5*q = 49. Calculate the lowest common multiple of 28 and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(104)\/sqrt(2) + sqrt(52) + sqrt(78)\/(sqrt(6)*2)*-2 + 1)**2.\nAnswer: -40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77565425279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + b - 8. Suppose -186*j + 511 - 163 = -396. Give x(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4211364*l**2 + 2110276*l.\nAnswer: 8422728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1505 - 1515.89. Let n = -1.27 - o. Round n to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, b: 6, v: 1, p: 1, u: 1, h: 1}. What is prob of sequence pu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 17*q - 120 = 0. Solve 3*i - q - 20 = -4*z, -4*i = -3*z - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.495783 years in centuries?\nAnswer: 0.03495783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let d(y) = -783*y. Determine d(q(k)).\nAnswer: -1566*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 370.6021l?\nAnswer: 370602.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.29 - 2.23. What is s rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and 13.6?\nAnswer: -35.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m + 5. Let s(y) = -y. Let j(w) = -b(w) - 3*s(w). Let u be j(6). Let r = u + 11. Solve r = 3*c - 3 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t**3 + 12*t**2 + 8*t + 7. Let s(m) = 20*m**3 - 35*m**2 - 23*m - 20. Let o(i) = 6*s(i) + 17*y(i). Is o(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 25*f**2 + 16*f - 16. Give s(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1287090 by -1362.\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p + 21. Let y be o(-3). Let v(m) = 9*m**2 - 4*m + y*m + 5 - 5. Let b(i) = 2*i. What is v(b(s))?\nAnswer: 36*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.4 * 0.278.\nAnswer: 11.2312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 121.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 8*u + 9. Let d be s(8). Suppose 6 + d = -3*b, -2*b = 5*q. Solve q*n + 1 + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1484857431 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*w = -120*w - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10534 - 10516) + -55 + -2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*z**3 - 49*z**2 - 78*z**2 + 19*z**3 + z**6 + 49*z**2 wrt z?\nAnswer: 120*z**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*15\/((-4620)\/28)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2\/((-6)\/3)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282057 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -407*l**3 - 19*l**2 - 6*l + 9. Let b(r) = -408*r**3 - 22*r**2 - 7*r + 10. Determine 6*b(u) - 7*f(u).\nAnswer: 401*u**3 + u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 - 92*f - 560 = 0 for f.\nAnswer: -5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5708.024t to kilograms.\nAnswer: 5708024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y**5 + 0*y**4 - 3\/2*y**3 + 0*y + y**2 + 0.\nAnswer: y**2*(y - 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i + 128 = 23*i. Put -1, 3, i in ascending order.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - (-5 - (30 - 16 - 1))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 9, 12, 4 in ascending order.\nAnswer: -2, 0, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 + -5. Let y = 4.09 - 0.09. Suppose -3*k - 10 = -4. Which is the nearest to k? (a) y (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/10)\/(1\/10*8). Suppose 1\/4*h**4 - 3\/4*h**2 + o*h + 1\/2 - 1\/4*h**3 = 0. Calculate h.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116612, -116609, -116606?\n\"Answer: 3*r - 116615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320) + sqrt(320))\/sqrt(4) + 4 + (3*1*sqrt(5) - (2*sqrt(5) + 2)).\nAnswer: 2 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfccccccccccccccccc. What is prob of picking 3 c and 1 f?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(612) + -1)**2*4 + 5.\nAnswer: 48*sqrt(17) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 23.02.\nAnswer: 6.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 + 241. Let f = 90 - g. Sort -2, 5, f.\nAnswer: -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*h*s**3 - 98228*h*z + 37*s**3 + s**2 + 573*s*z - 3*z wrt h?\nAnswer: 4*s**3 - 98228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42634 - 4634 = -100*i. Round i to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.61 + -16.7. Let p = n + 0.0900037. Round p to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91999415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(-1*sqrt(12)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -80 + -90 + 273\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/5 of a milligram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2368 and -27\/5?\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 16. Let x = -20 - -45. Let p = x + q. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by -4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/60 + 3*n**4\/8 - n**3 - 193*n**2. Determine c(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1179*-0.148\nAnswer: -0.0174492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*d = -36, 2*p + 14 = 5*d - 4. Let x be p\/(-42) + (-5)\/6. Let n = 0.01 - 2.01. Which is the nearest to 0? (a) n (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*q + 4454 = 4469, -5 = b + 2*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*k + 2*d - 62, -13*k + 22 = -19*k + 9*k + 7*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 14}. What is prob of picking 1 a and 2 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/29 + (-110)\/(-2610).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(252) - (-2*sqrt(252))**2) + sqrt(252) - sqrt(252) - sqrt(252)) + 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 31, 0.1, 15, -0.5, -6, 1\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 24*t - 92. Let a be v(4). Solve a = -5*i + 5*w, -4*i - 4*w + 6 - 22 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 17*b + 3 = 0. Suppose 3*y = -x + b, -2*y + 0*x + 1 = x. Solve -5*p - y - 10 = -4*z, 0 = 4*p - 2*z + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113943692 and 1451512.\nAnswer: 227887384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 0. Suppose 0 = -4*a - 2*q + 482, y*a + 2*a - 250 = -4*q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 202*w - 1 + 208*w - 409*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/48)\/(3*3\/(-180)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - h**2 + 29*h**3 - 33*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 10*o + 0 + 19\/2*o**2 - 7\/6*o**3 + 1\/12*o**4. Is k(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Which is smaller: l or -4\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*g**3 - 475 - 51*g**3 + 463 as v*g + s*g**3 + b + t*g**2 and give s.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -18*w + 36604. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)*x\/((x*x**(-7))\/x)*(x**(2\/5))**18*(((x\/(x\/(x**(-3\/2)\/x)))\/x)\/(x*x**(-7\/2)))\/(x**1)**13 assuming x is positive.\nAnswer: x**(64\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*((1 + 0 - 3)*(-5*d - 100 + 4*d - 1) - 4*d + 33*d - 13*d)*(-7 - 16 + 7) to c + q*d and give c.\nAnswer: 3232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x, 116 = 14*f - 10*f - 5*x. What is the remainder when 518 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - 4*u)*(-259*u**2 + 5*u - 203*u**2 + 2 + 478*u**2).\nAnswer: -16*u**3 - 5*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3173 - -3365.3. Let t = -178 + k. What is t rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(6\/17)*j)*j*j**(-4\/19)*j)\/(j**(-1\/10)*j*j**(3\/8)))**(-40) assuming j is positive.\nAnswer: j**(10833\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 289668 and 120695?\nAnswer: 1448340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -2000?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3797843481\/656858 - -2\/985287. Let l = q - -5768. Find the common denominator of l and 139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -37. Let s(u) = 2 - g*u + 18*u + u**2. What are the prime factors of s(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 7. Let p be y(-9). Let g = p + -26. Let d be (-2)\/(-3) + g\/18. Sort 0.5, d, -3.\nAnswer: -3, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-2))\/(12\/18))\/(346192\/(-1780416))?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*t**6 + 10*t**2 + 4*t**2 + 137*t**6 + 21*t**2 wrt t?\nAnswer: -2760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 24 + -19 - 3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 780 - 785. Let w be s - 2\/((-6)\/15). Sort w, -2, -58.\nAnswer: -58, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 463919290 to the nearest 100000.\nAnswer: 463900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1753 + 794. Sort -2, -1, d in decreasing order.\nAnswer: -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 33.607.\nAnswer: -32.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95)*2*2 - sqrt(95)) - (sqrt(95)*2*-1 + sqrt(95)))\/(((-2*sqrt(20))\/sqrt(2))\/(-2*sqrt(8))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 + 100 - 100.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 665*l**3 + l**2 + l - 2. Let q be a(-3). Let c = 215291\/12 + q. What is the common denominator of 49\/6 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1576, 1642, 1708, 1774, 1840, 1906?\n\"Answer: 66*a + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b + 1. Let r be v(-4). Let k = 3010 + -3006. Solve r = -9*u + k*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcitweiiiewwc. Give prob of sequence tw.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14*i + 2. Let v(z) = -50*z - 42*z + 142*z - 1 - 43*z. Calculate -2*r(s) - 5*v(s).\nAnswer: -7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -1)*6\/(-48). Let p = 163 + -165. What is the closest to 2\/7 in 0.3, p, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 20*s. Let f(r) be the third derivative of -r**2 - 1\/6*r**3 + 0*r + s*r**4 - 1\/60*r**5 + 0. Differentiate f(k) wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-141)\/(-378) - 2\/72*-2. Factor 0 + 30\/7*q**3 - 9\/7*q + s*q**2.\nAnswer: 3*q*(2*q - 1)*(5*q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 + -115. Let n = v + -69. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n - 12. Suppose -k + 7*x = n*x - 88, -183 = -2*k - x. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-3*g + 3*g - 84*g)*(2*g**3 + 0*g + 0*g).\nAnswer: -336*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 9*x**2 - 30*x + 27. Is p(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:25 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -37*k + 36*k. Calculate the remainder when k is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1708, 3387, 5066, 6745, 8424, 10103?\n\"Answer: 1679*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2042, -4080, -6130, -8198, -10290, -12412, -14570, -16770?\n\"Answer: -o**3 - 2031*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 19 = -51. Suppose -4*x = 3*r + 3, -3*x + 2 = -2*r + x. Let z be r + (1*6 - 2). Is b at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35762 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -369 - 11 - 30 - 2*c - 612 - 139 in the form f*c + n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 27731 = 4*u - 27843, 5*u = 2*m - 77 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*t + t + 0*t)*(3*t - 47 + 151 - 68).\nAnswer: -6*t**2 - 78*t - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111111110 - -101?\nAnswer: -1010111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -13*m + 18*m. Let b(o) be the first derivative of 2*o**3\/3 + o**2 - o + 2. What is the remainder when 29 is divided by b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -10 - 28 - (12*4)\/(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37072 and 42112.\nAnswer: 13939072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 - t + 5. Let x(q) = 7*q**2 - q + 4. Give 5*p(u) - 6*x(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1880*k + 280. Let a(o) = 40*o + 6. Calculate 280*a(d) - 6*b(d).\nAnswer: -80*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -7, 2, -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 10 + (-2)\/(8\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 38*a - 88. Factor 5*x**5 + 2*x**2 + 52*x - 92*x + 15*x**a - 10*x**3 - 62*x**2.\nAnswer: 5*x*(x - 2)*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1203567 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 + 11. Let c(r) = 2*r**2 - 5. Let g be 147\/7*(-3)\/(-9). Determine g*c(a) + 3*j(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + 1 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 1023. What is the greatest common divisor of 31 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*u - v - 8, 0 = -3*v. Suppose 7*i - 15 = u*i. What is the derivative of 2*m**4 - 4*m**4 + i*m**4 + 4 - 4*m**4 wrt m?\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -15. Let u = -3 + q. Suppose 4*v - y - 248 = 0, 51 = v - 2*y - y. Calculate the greatest common factor of u and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 1, w: 2, p: 7, o: 4}. Give prob of sequence rvor.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 11*h + 1 = 0. Is h\/(3 + (-1624)\/541) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnpnnnfhhnnpllllhlr. What is prob of picking 2 l?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(1 + 36\/(-33)). Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1\/5, 9, -4, 1\/4 in decreasing order.\nAnswer: 9, 2\/7, 1\/4, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411.9369, -1\/7, 4.2.\nAnswer: -1\/7, 4.2, 411.9369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2114504.3 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 14, a: 4}. What is prob of sequence va?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/(-18) - 7 - (12\/(-720)*-970 - 22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 182\/((-130)\/(-10)) + 12\/(-2) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.469 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -392.999999068 - -393. What is m rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 s when three letters picked without replacement from {p: 2, z: 3, s: 4, g: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9543*b**3 - 215*b**2 + 14 wrt b?\nAnswer: 57258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -m - 96. Suppose 5*k + 43 = m. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let z(c) = -43*c. Give r(z(d)).\nAnswer: -86*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = -4*c + 406. Suppose 0 = y - 39 - c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 7:52 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 472*w - 33 - 26 + 0*w**2 + 2*w**2 + 7 to the form d + t*w**2 + u*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by -102.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.7280888 + -8?\nAnswer: 13.7280888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -39*y. Let p(z) = 2*z - 16. Let w(v) = -10 - 4*v + 0*v + 10*v - 5*v. Let g(m) = -5*p(m) + 8*w(m). Determine i(g(u)).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 8*u + 6. Let r(l) be the first derivative of 7\/2*l**2 - 1\/3*l**3 - 5*l - 2. Determine 5*a(v) + 6*r(v).\nAnswer: -v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 - 8 = 0. Let j be y\/13*2\/(-8). Suppose -11*b - 1590 + 1601 = 0. Is b greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 6*g**2 - 3*g + 2. Let m be p(2). Sort -5, -4, m, 5 in increasing order.\nAnswer: -5, -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345 by -1.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124.35 - -83.04. Let z = -0.31 - u. Let d = z - 42. What is the nearest to 1 in -7, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 67. Let b(w) = w - 2. Give b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 2 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 284240 divided by -8360\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 39. Let y(a) = a - 5. Let l(q) = -q + 6. Let n(g) = -g + 6. Let r(j) = -2*l(j) + 3*n(j). Calculate d*y(u) - 4*r(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95060899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/5 (b) 2 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 102 + 0 - 1 + 53 - 21*x + 151. Calculate y(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - 7*v**2 + 4*v - 1. Let o be x(2). Let q be -3*(1\/o - 8\/4). Solve 2*i - q*c = -3*i + 20, 4*i + 4*c = -16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**24*m)**12 assuming m is positive.\nAnswer: m**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*-4*96*114\/6080. Factor o*m - 1\/5*m**2 - 81\/5.\nAnswer: -(m - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.89495\nAnswer: -0.268485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49398, -49394, -49388, -49380, -49370, -49358, -49344?\nAnswer: -49328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/3 + 11\/6. Let c = 1.27 - 312.27. Let p = -320 - c. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 9*f - 18 - 10*f. Let z be q(-4). Put z, 1, 1\/4 in descending order.\nAnswer: z, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21680279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + -1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2393 divide 243185633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 44*i**2. Let v(x) = -93*x**2 + 287*x**2 - 103*x**2 - 90*x**2. Determine g(r) - 20*v(r).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 11401587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29707384 a multiple of 2632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u + 47*u - 16*u)*((-5 + 1 + 2)*(-3 + 1 + 0) + (-3 + 4 - 3)*(0 + 3 - 4) + 0 + 3 - 1).\nAnswer: 424*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 446041 (base 8) to base 12\nAnswer: 73169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -6.4?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6624, -6747, -6870, -6993, -7116?\n\"Answer: -123*i - 6501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/(i\/i**(-1\/8)))*i\/i**(-7)*i\/(i\/i**1*i)*i*i**3 assuming i is positive.\nAnswer: i**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.40617674 rounded to 4 dps?\nAnswer: 4.4062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -206, -701, -1546, -2747, -4310, -6241?\n\"Answer: -p**3 - 169*p**2 + 19*p - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974 is divided by 117?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yveygihhheeh. What is prob of picking 1 e, 1 i, and 1 g?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 1)*(-4*s + 2*s - 7*s + 9*s - 3*s + 0*s + 0*s + s - 2*s + (-3 - 2 + 6)*(0*s + 3*s - 5*s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 1. Let a(i) = -i**3 + 4*i**2 - 4*i + 4. Let r be a(3). Let w be y(r). Is 18 a factor of 1 + (20 + w - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5*(8\/14)\/((-489800)\/4340)\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053485071 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9538*c*k - 26300*c - 31*k**4 + 18 wrt k.\nAnswer: -9538*c - 124*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3016 = 47*q - 43*q + 4*s, -5*q + 3*s = -3722. Calculate the smallest common multiple of q and 204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.237 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 3. Suppose x + 2 = v + 6, 0 = 5*v - x + 12. What is u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-78))\/(11\/((-363)\/(-11)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3985 is divided by 1317.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igg when three letters picked without replacement from {l: 9, g: 2, i: 2, p: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 1. Let z(r) be the first derivative of r**3\/3 + 9*r**2\/2 + 9*r + 9. Determine -18*g(h) + 2*z(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 2. Let p be l(-3). Let i be 16\/p + 66\/(-15). Which is the closest to i? (a) 1\/2 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 3. Let x be y(0). Let q be ((-34)\/(-12) - x) + 52\/24. Solve q - 4 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*v + 579714 + 2156421 = 0. What are the prime factors of v?\nAnswer: 3, 5, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130453 - 120?\nAnswer: -131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 861, 4116, 9749, 17760?\n\"Answer: 1189*a**2 - 312*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12409, 12406, 12401, 12394, 12385?\nAnswer: 12374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9039?\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/(105\/(-490))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-2174\nAnswer: 15218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -20275, 4, -131, 1, -4 in decreasing order.\nAnswer: 4, 1, -4, -131, -20275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3564182 and 2782.\nAnswer: 4957777162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g*m**2 - 2*g*m*n**2 + 801*g - 16*m**2*n**2 - 6*m*n**2 + 113*n**2 wrt g?\nAnswer: -5*m**2 - 2*m*n**2 + 801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -48. Let m = -64.3 + l. What is m rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.46 * -56074.5.\nAnswer: 306166.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, 1 z, and 1 r when four letters picked without replacement from {p: 1, z: 1, h: 3, r: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b\/(b**(-1\/3)\/b))\/b)\/b)\/b)**(-14)\/((b*b**6\/b)\/b)**(-3\/11) assuming b is positive.\nAnswer: b**(-109\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143374 is divided by 71679?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -153, -188, -223, -258, -293, -328?\n\"Answer: -35*y - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**32)*u*u**(2\/13)*u*u)\/(u\/u**(-1\/26)*u\/(u*u\/(u**2*u))*u) assuming u is positive.\nAnswer: u**(809\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78967333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**6\/420 - l**4\/84 + 9*l**2\/2 + 12. Let k(p) be the second derivative of w(p). Find q, given that k(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 14*w. Let j(p) be the first derivative of p**2\/2 - 407. What is 70*j(v) + 5*m(v)?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 29996 and 569938\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + 4 + 2 + (sqrt(1900) - (-4 + sqrt(1900))))**2 + -5.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 496222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 31920 = -50*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3759*s**3 + 6466?\nAnswer: 11277*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166\/(-7)*(-19 - -24)\/((-880)\/(-77) - 10)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 8*r - 12*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5613 in -0.1, -1\/4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.28 - -5.65. Let p = y + 1.07. Let f = p - 86.3. Round f to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-188)\/(-198) - (-2)\/2 - ((-6453)\/(-297) + -22). Suppose 7\/3 + z*x - 1\/9*x**2 = 0. What is x?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - 3*d**4 - 8*d**5 + (-3*d + 2*d + 2*d)*(0*d**4 - 3*d**4 - 2*d**4).\nAnswer: -13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = 110*c - 1568 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 22. Let s(y) = 83*y**2. Let z(g) = 406*g**2. Let n(f) = -29*s(f) + 6*z(f). What is n(h(w))?\nAnswer: 116*w**2 - 2552*w + 14036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -u*z - 2*z = -36. Let h be (4 - 2)\/((-6)\/z). What is the third biggest value in h, 2, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 393, 543, 691, 837?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1, 3, -0.1, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*d - 27. Suppose 430 = 3*m - 4*w, -2*m + d*w - w = -288. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.788033003 rounded to four dps?\nAnswer: -0.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/46 - (2 - (-5)\/(-18)). What is the nearest to 0.1 in b, -0.5, 40, -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 338 + -333. Solve -d = -u*v + 1, -v + 0*v - 19 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11358609.3 rounded to the nearest 10000?\nAnswer: 11360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*x**4*y + 205*x**2*y - 16*x*y + 57*y wrt x.\nAnswer: 72*x**2*y + 410*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4378 (base 14) in base 5?\nAnswer: 333140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/((-6)\/(-8)))\/(144\/(-324)). Let n(b) be the first derivative of 0*b + 4 + 2\/21*b**v - 1\/14*b**2 - 1\/28*b**4. Factor n(z).\nAnswer: -z*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2570 and 2565 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -1039, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -1.1. Let j(i) = 4*i - 4. Let m be j(2). Put a, -1, m in ascending order.\nAnswer: -1, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 3*c)*(-165*c**2 - 33*c**2 + 35*c**2) + (-c - c + 3*c)*(4*c**2 - 2*c**2 - 3*c**2).\nAnswer: -164*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 379.9694 * -1.\nAnswer: -379.9694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6 + (-20)\/(-3))*(-930 + 927).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewrwwwlwvovvvelrv. Give prob of picking 1 e and 1 v.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24*(-66)\/308)\/((-3)\/21*2). Let z(i) = -3*i + 58. Determine z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 4139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1083 - -716\/3249. Factor 0*m - r*m**2 + 0 + 2\/9*m**3.\nAnswer: 2*m**2*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(11 - 45))\/(20 - 1).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:31 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 22849546.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5310 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, -329, -1107, -2197, -3599, -5313, -7339?\nAnswer: -9677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.249 or -0.1086?\nAnswer: -0.1086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/64)\/((-5)\/(-60))*(-1)\/3?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9052*x + 18740*x - 9054*x.\nAnswer: 634*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k**2 + 32*k + 151. Let z(w) = 13*w**2 + 32*w + 152. Let m(b) = 4*c(b) - 5*z(b). Factor m(r).\nAnswer: -(r + 6)*(r + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -9. Suppose -3*q + w = -0. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38104391?\nAnswer: 13, 113, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 6*z**2 + 6*z + 7. Let u(q) = -q + 7. Let r be u(4). Let b be 10\/r*3\/(-2). Give o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188314.62 rounded to the nearest 100?\nAnswer: 2188300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 - 14*a**3 - 15*a**3 + 17*a**3 wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9))\/(-2) - (27 + (-239982652)\/(-42)). What is x rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-543)\/21 - 42\/49. Solve 4*s - a = -7*p + 9*p, 0 = 5*s - 2*p - 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g - 6. Suppose 0 = 6*s - 7*s + 3. What are the prime factors of d(s)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2. Suppose 2*c + 10 = -3*m, -19 = 2*m - 3*c + 5. Let x be j(m). Suppose 0 = 4*l - 9*l + 30. Solve x = t - l*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -3)*((-22)\/8 + 4). Which is the closest to 2\/7? (a) -3 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -534, -1645, -3814, -7395, -12742?\nAnswer: -20209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106446903 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5)*-1 - (sqrt(605) + 2).\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24) - 9)*(-23)\/(1771\/(-22)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634501994?\nAnswer: 2, 7, 45321571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -414152*l**6*o + 7*l**6 - 3*l**2*o - 63*l**2 + 6323*o wrt l.\nAnswer: -49698240*l**3*o + 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 6 + 2, 4 = n + 2*d. Let f = 27 - n. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*f**5 - 105*d**2*f**2 + 54275*d**2*f + 113926*f**3 wrt f.\nAnswer: -120*d**2*f**2 + 683556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 549819572 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 1765*i + 3550.\nAnswer: -5*(i - 355)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 115?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472 and 5782.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 5*a**2 + 3*a**2)*((3*a**2 + 3*a**2 - 4*a**2)*(-2 + 2*a + 2) + 11*a**3 + 9*a**3 - 7*a**3)*(5 - 3 - 3).\nAnswer: -17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*p - 0*h - 13, -p - h - 5 = 0. Let s = -4 - p. Solve -3*x = -2*m - 12, -4*x = -3*m - s*x - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3593608 or -3593605?\nAnswer: -3593605","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -16.3, 1351, 3, 1\/7, -1\/5 in decreasing order.\nAnswer: 1351, 3, 1\/7, -1\/5, -16.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 1)*(3*s + 11 - 11)*(249*s**2 + 86*s**2 - 97*s**2).\nAnswer: -3570*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*p + 15 - 51, 0 = 3*n - p - 44. Suppose 22*z - 187 = 38 - 71. Suppose n*m - z = 9*m. Which is bigger: 1\/51 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445 and 196423?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505 = -8*l + 71. Suppose 4*v + 54 = 5*v. What is the greatest common factor of l and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*n = 2*n - 315, -4*y + 252 = -n. Let i = -5 + 21. What is the remainder when y is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2197, -2224, -2263, -2308, -2353?\nAnswer: -2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:59 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/16*-29*56\/(-812)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2634 and ((-46)\/(-368))\/(-2*12\/808).\nAnswer: 10536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from uumuumumuuumuu.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -0.333\nAnswer: -0.00666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*s - 30 = s, -4*r = -4*s. Suppose g = -0*g - 3. Which is the nearest to -0.2? (a) -0.3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 + 5\/6*b**3 - 229\/12*b**4 - 5*b**2 - 16*b. Let h be y(-5). Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + -3909224199959.\nAnswer: -3909224199959.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 465 = 3*n, -4*t = -2*n + t + 310. Let h = -86 + n. Suppose -285*u + 6410 = -1771 - 1794. What is the remainder when h is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52804.1 rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((3\/3)\/2). Let h(q) = -q**3 + 3*q**2 - 3. Let m(w) = -w**3 + 4*w**2 - 4. Give s*h(c) - 3*m(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -130.83 and 261.\nAnswer: -34146.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33502.55 millilitres to litres.\nAnswer: 33.50255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*-6*((-320)\/(-30) - 17).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 + 200*t**3 - 30*t + 159*t**3 + 71*t**3 - 9*t + 156.\nAnswer: 430*t**3 - 39*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1847 divided by -6\nAnswer: 1847\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 2*q**3 + 3*q + 5*q - q**2 - 8*q.\nAnswer: 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43\/2? (a) -3 (b) 0.18 (c) 2 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1779 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*9*(-2)\/(-1836)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2333, 27, -14 in ascending order.\nAnswer: -14, -0.2333, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-24)\/9 - (-240)\/576. What is the fourth biggest value in 3, 2, l, -0.053?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -42*(96\/(-42))\/4. Solve 85 = -7*p + t*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14\/13 - -178\/117. Suppose 5*l + 20 = 0, -l = 5*p - 5875 - 6081. Let w = -28735\/12 + p. Find the common denominator of w and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-2)\/6)\/((-8)\/(-1548)). Suppose -4*d - d + 105 = 5*f, 4*d - 5*f = z. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.14 + -346.86. Let c = g - -354.00001843. Round c to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/12 + c**3 + 7*c**2\/2 + 331*c. Calculate n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 219 = -b + 3*b, -b = -2*j - 110. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 767356 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 359263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**3\/3 - 3. Let n(c) be the second derivative of -2*c**3\/3 - 5*c. What is n(r(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (sqrt(13) - sqrt(130)\/sqrt(10)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223\/4 - -2461\/44. What is the second smallest value in 5, 0, f, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.127 - 29760.27247.\nAnswer: -29761.39947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 9*k - 12. Let x(a) = -a**2 + 9*a - 11. Let n(s) = 4*d(s) - 5*x(s). Suppose 0 = 93*c - 104*c + 77. Determine n(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68765903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = j - 12, -384*j + 385*j + 4*s - 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21333844489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0. Let w = 4.2 + -4.09. Let o = 0.11 - w. What is the nearest to 1 in 3, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:37 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/28)\/(2\/(-7)). Suppose -4*q = -q - 4*n - 232, -2*n - 2 = 0. Suppose -2*z = -l*z + q. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1420 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/8)\/3*144\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 4*k)*(-3 - 3 + 4 - 5*k) + 3*k**2 - 3*k**2 + k**2.\nAnswer: 21*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-444)\/17 - 4\/34. What is the hundreds digit of ((-405)\/10)\/(v\/(-10) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/30 - (1 - -8 - 608\/64)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8441314.\nAnswer: 2, 7, 602951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/8 + 2539*x**4\/8.\nAnswer: x**4*(x + 2539)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4371 + 4254 - 8515 + q)*(3 + 6 - 18) to the form v + c*q and give v.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67? (a) -5 (b) 46 (c) -3 (d) 8 (e) 0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) 0.5 (c) 5 (d) -22\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -400*u - 459*u**4 + 11315*u**2 - 11315*u**2 wrt u.\nAnswer: -5508*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 34*f = 39*f + 13, 19 = 2*q - 5*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-3\/10)))**(-29))**(-8\/9))**22 assuming q is positive.\nAnswer: q**(-2552\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368748 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4694 is divided by 4624?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 43*(-4 + 1 + 2). Let d = n + 1. Round d to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/5 - 256*j\/5 + 258\/5 = 0. Calculate j.\nAnswer: -129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**34)**(-34)\/(g*g\/(g\/(g**(3\/5)\/g)))**(-38) assuming g is positive.\nAnswer: g**(-5666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -64. What is the smallest common multiple of k and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*q*t*u**2 - 2*d*q*t - 14*d*u**2 + 8*d*u + 2173*q*t + 2*q + 3*u wrt t.\nAnswer: -d*q*u**2 - 2*d*q + 2173*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, b: 1}. Give prob of picking 1 l and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2938173 and 1862490?\nAnswer: 3801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 424068 > 424440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 + 5923*n. Let f(p) = -13*p**2 - 8881*p. Determine 5*f(m) + 7*q(m).\nAnswer: -2*m**2 - 2944*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 21*n**2 + 19*n - 10. Let k be s(-22). Let d = 58 - k. Suppose -4*x + d*f = 6*f - 4232, 2*x - 2113 = -3*f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 2*t - 3*w, -217*t + 112 = -215*t + 5*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 127*b**2\/2 - 31*b - 154. What is the derivative of i(n) wrt n?\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227814869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 27 + 31 - 6*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 50*b**3 - b**2 + b - 1. Let o be (-1 + 0)*(-5 - -4). Is n(o) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfzrmgmb. What is prob of sequence rfb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 19995*p - 59940.\nAnswer: -5*(p + 3)*(p + 3996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 + 533*i**2\/7 - 1342*i\/7 + 807\/7.\nAnswer: (i - 1)*(i + 269)*(2*i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306876600 by -60.\nAnswer: -5114610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56895 and 285.\nAnswer: 1081005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:14 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uweewuewueyleu. What is prob of sequence wulw?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15192*b - 14379*b = -813 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 0.16941474\nAnswer: -0.0101648844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8860\/3 or -2953?\nAnswer: -8860\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + -2) + (sqrt(11) - -1*sqrt(539)).\nAnswer: -10 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 1:40 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, k: 1, d: 1, x: 1, q: 3, w: 3}. What is prob of sequence kq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/((96\/4)\/(-192))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167144562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*h = 18*h + 10*h - 222530. What is the smallest common multiple of 170 and h?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 168\/420 + (-403)\/(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -489, -1946, -4375, -7776?\nAnswer: -12149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 4*w + 4*w + (14 - 48 - 33)*(2 - 2 + w) + 7*w + 6*w - 5*w)*(1 + 7 - 5).\nAnswer: -180*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. What is the second derivative of 14*j**5 + 4*j**2 - 15*j**5 + z*j - 4*j**2 wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 95.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5986408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, i: 3}. What is prob of sequence iww?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 910*s - 380*s + 3180 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -89, -0.5, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/3*(-2)\/4*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16678496 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/2)*x*x**(-15)\/x*x assuming x is positive.\nAnswer: x**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 - 1506484*r\/5 - 3012976\/5.\nAnswer: 2*(r - 753244)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 0 - -2 - 0. Suppose n - 2*n - 87 = -3*t, -5*n + 15 = v. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, v: 3, q: 4, b: 2, g: 1, k: 2}. What is prob of sequence bqg?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*r + 348. Let p = 92 - r. Suppose -3*c = -s + 2*s - 15, 2*s - p*c = 19. Solve -4*t - 24 = -h + 3*h, 0 = 3*t + s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11597*b**2*z + 13917*b*z wrt b?\nAnswer: -23194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-39)*21\/476?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 260. Let p(n) = -133. Let f(o) = 3*h(o) + 7*p(o). Let b(y) = 2*y - 152. Let z(g) = -3*b(g) + 2*f(g). What is the first derivative of z(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - (-6)\/(-8). Let p = -3.8 - 0.2. What is the closest to j in -4\/3, 0, p?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23476057 or 23476058?\nAnswer: 23476057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2965457g to milligrams.\nAnswer: 296.5457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-2 + 2 - 2*o) - 99*o + 267*o + 253*o.\nAnswer: 417*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssyzszszsyz. Give prob of picking 1 y and 1 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 491256.60400102 + -491274.604. Let r = 18 + g. What is r rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 - 6954*m**3 + 13912*m**2 = 0 for m.\nAnswer: -6956, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + c - 4*c)*(0*c + 0*c - 3*c)*(-1 + 1 - 1)*((c**2 + 2*c - 2*c)*(-c - 10*c - 2*c) - c**3 + 0*c**3 + 0*c**3).\nAnswer: -42*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 20 + 17. Let z(x) be the first derivative of x**a + 2 + 3\/2*x**2 + 0*x. What is the second derivative of z(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 111.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 139*j - 38 = -141*j, 657*j - 32 = -3*k + 652*j for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 + -107. Let n = t + -45. Let c(b) = b + 7. Let f be c(-8). Sort 4, f, 5, n.\nAnswer: f, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 13\/((-78)\/306). Suppose 60*s = v*s. Let g(d) = -d + 12. Determine g(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.93.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2495393 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/15 and -37\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6484361*b + 90099 = -6485000*b for b.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, -3*g + i - 2*i + 9 = 0. Let q(n) = n**3 + 2*n**2 + n. Let l be q(-2). Calculate the least common multiple of g and l\/3 - (-100)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/11, -0.03, -3, 4560, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**2 + 4*z - 4. Let x(y) = 18*y**2 - 11*y**2 + 4 - 7*y + 2*y. Let t(s) = 5*k(s) + 4*x(s). Let b(w) = w**2 + 50 - 76 + 26. Give b(t(o)).\nAnswer: 49*o**4 + 56*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2004 + 6?\nAnswer: -1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -1.1. Let r = z + 0. Sort 7, -0.5, r.\nAnswer: -0.5, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30\/7 - 19\/7*q + 4\/7*q**2.\nAnswer: (q - 6)*(4*q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 3 - 4 - 6*p. Suppose 2*d - 3*d - 23 = -5*o, 3*d + 4*o + 12 = 0. What are the prime factors of j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/891 - (-3 - 124\/(-44)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*95.6\nAnswer: 47.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -17 - 11 - (-1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 388.09 - 388.1. What is the second smallest value in 28\/9, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*p - k, 5*k - 28 - 12 = -5*p. Suppose -2*q - 9 = -0*q + z, -5*q - 4*z - 15 = 0. Sort 2, q, p in descending order.\nAnswer: p, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*13\/(832\/(-16))*-12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011211 + 1021?\nAnswer: 2020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -762605150*k - 240580480 wrt k.\nAnswer: -762605150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 59970?\nAnswer: 299850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 2314770?\nAnswer: -2314775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 398238, 796472, 1194682, 1592856, 1990982, 2389048, 2787042?\n\"Answer: -2*s**3 + 398248*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5832*b + 1066*b + 106046 = 1472*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 10 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-49676)\/(-17) - ((-12)\/(-34))\/(21\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 847839925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 232?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 1, q: 11}. Give prob of sequence vv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 5)*(-2 + 2 + 1) - 2 - 2 + 12)*(3*r + r - r)*(4*r**2 - 45*r**2 + 21*r**2).\nAnswer: -420*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 896358, 896409, 896460?\n\"Answer: 51*i + 896307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -13*189\/(-351) - 17484\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from ffnbfnfbfbfnnffn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904812618 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5967649 is divided by 17867?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/807065 and 65\/21629342?\nAnswer: 108146710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -23, -30, -37, -44?\n\"Answer: -7*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1252784 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 389862023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000517967 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 = 5*m + j - 392, -3*m - 3*j = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 174*3*(-3)\/(0 - 6). Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c + 36. Let y(k) = 4*k + 18. Let u(g) = 3*n(g) - 5*y(g). Calculate u(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Which is smaller: 2\/5 or p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/(-52) - -2*2\/26. What is the fourth biggest value in m, 0.4, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**3 + i + 4. Let h(w) = w. Determine -42*h(d) + 6*j(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221627454?\nAnswer: 2, 3, 29, 1273721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**2 + o - 2. Let k be w(1). Let h(p) = 73*p - 36. Is h(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1604500 to the nearest ten thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**2 + 2*l - 1. Let m(d) = -20*d**2 - 5*d + 4. Calculate -8*j(o) - 3*m(o).\nAnswer: 4*o**2 - o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13343 - 5?\nAnswer: -13352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -228475*5\nAnswer: -1142375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54.3 and -11534?\nAnswer: 11479.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) + -11 + 12. What is the second smallest value in c, -7, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.6733643 and -0.4?\nAnswer: -4.26934572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110110313111 + -3?\nAnswer: 110110313102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -1.2 (c) -8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1570 and 5080?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*m + m + 26 + 5.\nAnswer: -2*m + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 945, -5 in descending order.\nAnswer: 945, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 3*i**2 - 5*i + 6. What is the tens digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Do 9 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6) + 6\/4. Let p(q) = 20*q**3 - q**2 - 3*q - 1. Let y(g) = 60*g**3 - 4*g**2 - 10*g - 3. Let z(f) = a*y(f) - 7*p(f). Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24016, -23988, -23970, -23968, -23988?\nAnswer: -24036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**4 + 2*x**4 + x**4 + (2*x**2 - 2*x**2 + 2*x**3)*(2 - 2 - x) - 2*x**2 + x**2 - 230*x**4 - 211*x**4.\nAnswer: -445*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 74, -49501 in increasing order.\nAnswer: -49501, 6, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*c**2 + 231*c**2 - 2 - 763*c**2 in the form i + x*c + s*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6922954057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145655\/633348 - -88\/2169. Let d = v - 3\/146. Let q = -18 - -11. Is q < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxllxzx. What is prob of sequence ll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -20. Let b be -2*(20\/h + -4). Find the third derivative of -42*o**3 - 7*o**2 - 6*o**2 + 26*o**b wrt o.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*((6 - (-1105)\/(-91)) + 7). Solve 0 = -w*p - 20 + 62 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -58. Let c(h) = h**2 - 6*h + 5. Let l be c(6). Suppose 5*z + 4 + 41 = 5*w, 4*z - l*w = -41. Put j, z, 5 in decreasing order.\nAnswer: 5, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -211*c + 2. Let t(n) = -4*n + 5. Let f(v) = 23*v - 20. Let p(d) = -f(d) - 4*t(d). Calculate p(j(m)).\nAnswer: 1477*m - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(23\/4)\/n**(-2\/77)*(n*n**(-2\/9)\/n*n)**(-25) assuming n is positive.\nAnswer: n**(-37889\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4633 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5126920.\nAnswer: 2, 5, 128173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-4))\/5)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23)\/(-7) - 8\/28. Let t(q) = q - 1. Let o be t(y). Solve -2*h - o = -12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/(18\/(99\/(-11))*2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175105 is divided by 25015.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6f6c5 (base 16) to base 14\nAnswer: bc473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/265 and -31\/115?\nAnswer: 6095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111110101 (base 2) to base 14.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 + 6*v**4 - v**4 + (3*v - 3*v - v**3)*(-3*v + 4*v + 0*v) + 2*v**4 - 12*v**4 + v**4.\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-10)*l)*l**(2\/3))**(-8\/5)\/((l\/(l**3*l))\/l**(-1)*(l**(2\/5))**(2\/7)) assuming l is positive.\nAnswer: l**(-1594\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 24. Give x(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14562 + 14594. Solve 29*i = t*i - 21 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 105*i + 3. Let x be j(-35). Let f(a) = a**2 - 10*a - 3. Let h be f(10). Sort x, -2, h, 0 in decreasing order.\nAnswer: x, 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*b = 4*p - 63, 0 = -2*b + 2. Let q = p - 11. Solve -2 = -q*c + c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u**2 + 4*u**2 - u**2)*(9*u + 6*u - 5*u)*(u + u - 3*u) in the form a*u + v*u**2 + b*u**3 + w + f*u**4 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.73 + -2.73. What is the closest to 0.3 in f, 5, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-11)\/x)\/x)\/x**(1\/19)*x\/(x*x**(2\/31)*x)*x*(x\/(x*x**(-4\/3)\/x))\/x assuming x is positive.\nAnswer: x**(-20822\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 7344\/192) + 9\/140*3?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4514767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295306 by -13.\nAnswer: 295306\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-15))\/((-14)\/(-35)). Solve 0 = -3*t - 3*l - x, 0 = -3*t - 5*l + 1 - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 588272476*m + 588272476*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 33\/2*m**2 + 35\/2 - 69\/2*m + 1\/2*m**3 = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -5\/6*i**4 + 4*i + 0 + 2\/3*i**3 + 0*i**2. Factor n(u).\nAnswer: -2*u*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4) - (-782)\/(-340)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 13?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - -6 - 42 - (-27 + 39)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8965 is divided by 204.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12343, -12342, -12341, -12340?\nAnswer: -12339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55290)\/8 - (-1)\/4. Let q = x + 152093\/22. Calculate the common denominator of q and -69\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -18*w + 29. Suppose 10*l - 33 = w. Solve l*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 2. Put -0.2, 5, z in ascending order.\nAnswer: z, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -5*i**8\/336 + i**6\/4 + 2*i**5\/3 + 5*i**4\/8 + 219*i**2. Let c(n) = 0. Calculate n.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 289*o + 47 + o**2 - 132 - 2*o**4 + 289*o as z*o**3 + d + m*o**4 + b*o + r*o**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/(-1)*(-4)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -4*y, 5*y - 4*t + 15 = -t. Suppose 25*l - 3*l - 44 = y. Solve -l*q + 3*n = -n - 10, 2*n = -4*q + 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:20 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - y + y - 3*y - y + 3*y + (-y + 4*y - 2*y)*(-3 + 0 + 1) - 1 + 1 + 2*y + (-y - y - y)*(4 - 6 - 4).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 13*u + 10. Let z be w(12). Let t be (-260)\/(-25) - z\/(-5). Does 10 divide (11 - 8)\/(3\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(2\/(-1)) + 11. Suppose 9*r = -2*r - d. Is -5\/134 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -12. Suppose 2*w = 5*k - 26, 7 + m = -3*w. What is the second derivative of 8*q - k*q - q**2 + 0*q + 2*q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 3*d**3 - d**3 + (d**2 - 5*d**2 + 2*d**2)*(0*d - 3*d + 4*d) + 5*d**2 - 5*d**2 + 3*d**3 + (d - 3*d + 5*d)*(6*d**2 - 4*d**2 + 0*d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 9 - (0 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-5))\/(2\/(-10)). Let p be z + 0\/(-3*(4 + -3)). What is the biggest value in -2, 2\/3, p, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (540\/(-99))\/(430\/2365)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 65. Calculate x(-29).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/(-220) - (-48)\/88)*-2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5828 + -58281\/10. Which is the closest to 1.3? (a) 5 (b) f (c) 0 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 700\/70*4\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 588861?\nAnswer: 4710888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {y: 4, a: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*p, 3*n = -2*p + p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.018, -64, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + -3)**2.\nAnswer: -108*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(sqrt(19) + -2) + 2 + sqrt(19) + -4 - (sqrt(19) + 2 + sqrt(931) + sqrt(931) - sqrt(684)*-1)))**2 + -3.\nAnswer: 912*sqrt(19) + 27577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - sqrt(95)*-1*-2) - -5*(sqrt(95) - (sqrt(95) + sqrt(95)*1)))*2)\/(sqrt(320) + -3*sqrt(320)*-2 - sqrt(320) - -2*sqrt(320)*6).\nAnswer: -5*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from zzezzzzzeezzzzzezz.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -28*m**2. Let x(u) = 2*u**2 - 2*u. Let l(j) = 18*j**2 - 10*j. Let q(v) = -l(v) + 5*x(v). Give q(c(f)).\nAnswer: -6272*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vddddddd. What is prob of sequence vdvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 0)\/(2\/(-26))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3*x - 3102 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 - -2815654163202?\nAnswer: 2815654163204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-158)\/(-5))\/(24\/(-192)). Let i = -252 - t. Find k such that i*k**4 + 8\/5*k + 0*k**2 - 4\/5 - 8\/5*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = 5*t, 4*t + 1 = 3*t - 4*r. Let c = 74 - 30. Let h = -44.3 + c. What is the smallest value in 0.1, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 178?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -409*d*t**5 - d*t**2 - 176*d + 46*t**6 - 2*t**2 - 38 wrt t?\nAnswer: -24540*d*t**2 + 5520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 352, 327?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 7*o - 3*o - 4*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 236\/7 + -3117\/91. Let w = -0.295 - -0.095. What is the second smallest value in 5, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:43 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:24 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4))\/(12\/24). Put -12, 5, t in decreasing order.\nAnswer: 5, t, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/20)\/y**(1\/10)*(y**(1\/2)*y)**(14\/9) assuming y is positive.\nAnswer: y**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 65931, 2, 5 in descending order.\nAnswer: 65931, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1142580074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) 4\/3 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, -1\/5, 4\/17, -0.09, -3\/8, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6 + (-105)\/(-20)). Suppose 5*r = k*r + 4349. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c + 39. Let t be s(0). Let h = 42 - t. Solve -30 = -5*g - 5*a, 8*a = 4*g + h*a - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - 6*g)*(-4*g**2 - 2*g**2 + 3*g**2).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 32*l = 28*l - 24912, 2*s - 12431 = -3*l. List the prime factors of s.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2526 and 14444931.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-23 + 41 + -19).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/87146 and 65\/154.\nAnswer: 6710242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 484?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (15 + -16 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5592 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - 3*q)*(0*q**4 - 9*q**4 + 0*q**4) + q**5 - 3*q**5 + 0*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 81, 117, 135, 129, 93, 21?\n\"Answer: -v**3 + 55*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4035.34492 - 0.44492. Round z to the nearest ten.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 - 174053*n**2 + 3417*n - 55 wrt n.\nAnswer: 12*n**2 - 348106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1222\/(-6721) - (((-1212)\/44)\/((-2)\/(-8)) - 6)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*(3 + sqrt(13) + 1)*-6*3 + 1))**2.\nAnswer: 665856*sqrt(13) + 2414608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 12 = -2*w. Let d(a) = -3*a - 12. Let y be 5\/(5\/(-9))*1. Let x be d(y). Solve 0 = -3*z + w*z + x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*l + 164*l + 3*l**2 - 392*l + 62*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -40762*u - 40760*u - 286*u**2 + 81522*u in the form j*u**2 + f*u + d and give j.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1546, -3094, -4642, -6190?\n\"Answer: -1548*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 796792395 to the power of 1\/3, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13147, 13046, 12945, 12844?\nAnswer: 12743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 18*s**2 - 19*s + 4. Let g be h(-19). Suppose 6 = g*q + w, -4*q = -0*q - 3*w - 14. What are the prime factors of (192 - 1) + 2 + q + -8?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1a812295?\nAnswer: -1a812298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 115963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -2*i. Let m(u) = -u**2 + 3*u + 4. Let j be m(4). Let t = i - j. What is the least common multiple of t and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2699\nAnswer: -3\/2699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*h + 10. Solve -14 = 3*d - 2, -2*r + h*d + 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3141510, -3141509, -3141508, -3141507?\nAnswer: -3141506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 1 + 51)*(3*s - 3*s + s + (-1 + 3 - 3)*(0 - 2*s + 0))*(3*s - 4*s + 2*s).\nAnswer: 114*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.1469 litres in millilitres?\nAnswer: 330146.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + 8c?\nAnswer: 7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3262, 0.1, -1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 15 = 12. Solve -44*l**m + l + 0*l**2 - 2*l**2 + 45*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5005 is divided by 2317?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-7)\/((-140)\/375). Is t < 372\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**8\/112 + x**5\/30 - x**2\/2 + x. Let j(t) be the first derivative of i(t). What is the third derivative of j(g) wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-12)*8\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) -0.2 (c) 1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57946178?\nAnswer: 2, 5323, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 10*w**2 + 6*w**2 - 5*w**2 + 3*w**2 + 4*w**2 + 2*w**2 + 2*w**2 - 5*w**2 + (w + 0*w + w)*(0 + 0 + 2*w).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108 less than -41051.12975?\nAnswer: -41051.02175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -27*x - 342. Let n be f(-13). Solve 5*q - n = -19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(833)*2 - sqrt(833)) + sqrt(833) + (sqrt(833) - (sqrt(833) - (sqrt(833)*2 + -4) - sqrt(833))**2) + sqrt(833).\nAnswer: -3348 + 154*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-33 + (-21 - -22) - (1 + 1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 5*k**2 + 5*k. Let h be u(4). Suppose -5*z + 5 = -h*z. Solve n + 4*m + z = -6, -5*n + 29 = -m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204426 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112545 is divided by 104?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41320.8 rounded to the nearest one hundred?\nAnswer: -41300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1001 by -13.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.42148 weeks to seconds.\nAnswer: 12955711.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*z - 5*z = 19, -5*z - 16 = -2*a. Let b(q) = 0 - 2 - q - 2 + a*q. What are the prime factors of b(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 7)*(b + 0*b - 2*b) + (4*b - 4*b - b)*(4 - 3 + 0).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 15158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 139 + 73 = -2*n. Calculate the greatest common factor of 4020 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1706 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/5 - 12048166*n\/5 + 36289575990889\/5 = 0.\nAnswer: 6024083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3)*x*(x*(x**(-3)*x)\/x)\/x)\/(x**(-2\/33)\/(x*x**(-1\/18))))**(4\/23) assuming x is positive.\nAnswer: x**(-526\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 864351*m. Let i(p) = 3*p**2. Give i(w(z)).\nAnswer: 2241307953603*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -25*s**3 - 824*s**2 - 832*s - 2050. Determine j(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 + 0*q**2 + 8*q**2 in the form u + c*q + x*q**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbh when three letters picked without replacement from hmvbgvbv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21383, 21114, 20845?\nAnswer: 20576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 398933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -1. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 6746\/939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/20)\/((-1)\/6). Let t = 2642\/3 - 882. What is the smallest value in t, 0, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 - 26*q**3\/3 + 13*q**2 - 26*q - 54. Let y be c(25). Is y at least as big as -20\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-11 - 8) + -2 - (3 - 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54836025 by -25.\nAnswer: 2193441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5905 = 5697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 4\/3 (b) 0 (c) -95981\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 35*t**2 - 71*t + 49. Determine s(-33).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/189 not equal to -1825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300539\/24 - -12517. Calculate the common denominator of d and 1\/7 - (-1)\/(-3).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55146494 + -8?\nAnswer: 55146487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12385, -22235, -32085, -41935, -51785?\n\"Answer: -9850*t - 2535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7662 divided by 81\nAnswer: -2554\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22155 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 3*h. Suppose y = -2*l + 23, 4*l + 3*y - 13 = h*l. Solve 0 = 5*p - 2*p - 4*g - 2, l = -5*p - 2*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214877 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 60?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 6*d + 5. Let l = -22 - -16. Let u be x(l). List the prime factors of (-6)\/(-9)*(216 + (-15)\/u).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 5:22 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s**2. Let r(z) = -7*z + 2*z + z + 5*z. Determine r(p(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 7*s**2 + 4*s**2)*(-5 + s - 1 + 5)*(3*s - 3*s**2 - 3*s).\nAnswer: 15*s**5 - 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z. Let m(n) = -104*n. Let o = 430 + -384. Suppose -14*q + 12*q + o = 2*x, -5*q - 5 = -x. What is x*a(f) - 3*m(f)?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 23*x - 55. Calculate g(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -19)*(-2464)\/(-1848)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = w - 5, 238*f - 241*f = -w + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -333301?\nAnswer: -333300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2960 + 4780. List the prime factors of h.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 l when three letters picked without replacement from huuoooiouilohushos?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {b: 5, f: 8, z: 7}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-9)\/(-2)*(-49)\/21). Suppose v = -5*z - 21, -3*v - 4 = 5*z + 9. What is the third smallest value in z, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12845360 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 126510175384143?\nAnswer: -126510175384154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*r**4\/2 + 4*r**3 + 9*r**2\/2 - 4*r = 0. What is r?\nAnswer: -1, 0, 8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, m: 7, x: 1, h: 3}. Give prob of sequence hm.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 = 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3811 (base 9) to base 3\nAnswer: 10220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-36)\/(-30))*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7564 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*w + 26, -v + 0*v + 29 = 5*w. Suppose w*p = -15, 0*p = -l - 4*p - 61. Let d = -27 - l. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 18188, -2\/7, 5, -0.08 in decreasing order.\nAnswer: 18188, 5, -0.02, -0.08, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -68*j**3 + 14*j**2 + 5*j - 11. Let z(r) = 45*r**3 - 9*r**2 - 3*r + 7. Let v(o) = -5*p(o) - 8*z(o). What is the units digit of v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -24*x**2 - 9*x - 7. Let y(o) = 11*o**2 + 4*o + 3. What is -2*v(s) - 5*y(s)?\nAnswer: -7*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnih when four letters picked without replacement from {h: 4, v: 4, f: 2, i: 3, n: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t. Let g(o) = 0 - o + 3 + t. Give g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**5 - 70*b**4 - 365*b**3 - 840*b**2 - 720*b = 0?\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from azrzecrcccruuur?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-1)\/88). Let q = i + -30. Calculate the remainder when 40 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7902 - 6994 = -53*i - 4084. What is the smallest common multiple of i and 8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47.3, 3, 250145?\nAnswer: 47.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1433846 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from tbbnkxi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271283\/224913 + -6\/5767. Let p = -7\/13 + j. What is g in 2\/3*g + 0 - 2\/3*g**4 + 2\/3*g**2 - p*g**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (995\/(-1380) + 22\/(-759))\/(27\/(-6)). Find b, given that t*b**4 + 0 - 1\/6*b**2 + b - b**3 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 4*s - 3 + 0 + 2. Let k(n) = -2*n**3 - 2*n**2 - 8*n + 10. Calculate k(j) + 8*q(j).\nAnswer: -2*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p + 11 + 169. What is the remainder when 302 is divided by (p + 11)\/(2\/(-122)*1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -1175, -3986, -9461, -18488, -31955?\nAnswer: -50750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/5, 8\/105, 2, -0.5, 0 in decreasing order.\nAnswer: 2, 2\/5, 1\/6, 8\/105, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2381, -4773, -7191, -9641, -12129, -14661?\nAnswer: -17243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228*t**3 + 60*t - 2*t**2 - 119 - 168 + 276 wrt t.\nAnswer: -1368*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79590, 318398, 716400, 1273590, 1989962, 2865510, 3900228, 5094110?\nAnswer: 6447150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-1248)*26)\/((-21)\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*v**4 - 8405*v**3 - 146510*v**2 - 291180*v - 61560 = 0. What is v?\nAnswer: -38, -27, -2, -6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8262 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 3. Let y be 12\/14 - 285\/(-133). What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + v. Suppose v*m = 3*q - 2*m - 15, 0 = -3*q + m + 15. Suppose 5*n - n - 76 = -2*t, q*n = 10. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -367 + 337.9. Let w = -36.1 - n. What is the closest to -1\/2 in -2\/11, w, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {s: 1, n: 6, i: 3, l: 9}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 2. Let a(n) = n. What is a(v) - k(v)?\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let b(y) = -6*y**2 + 2*y. Let c be 9\/8 - (-5 + 205\/40). Give c*b(x) - 2*o(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/(6\/(-4) - -2). Solve -7 = -s - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211115 by 5.\nAnswer: 42223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**4\/6 + 11*j**3\/5 + 14*j**2\/5 - 27*j. Find v, given that h(v) = 0.\nAnswer: -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -100. Let o(c) be the first derivative of -1 - 2\/3*c**3 - 4*c - 3*c**r. Find v, given that o(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -172, -264, -358, -454?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c - 117. Give j(-4).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 12) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 8:27 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (488\/(-427))\/(((-4)\/77)\/1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**3 - 114*s**2 + 18*s + 99. Let q be l(38). 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 the thousands digit of 16373265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 74 = 4*h, 12175 = -c + 2*h + 12150 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -17590042\nAnswer: 1\/8795021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + 149*p**2\/6 - 289*p\/2 + 429\/2.\nAnswer: -(p - 143)*(p - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16731917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:55 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(34 - 27)*-21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 31 = -55*a + 52*a, 3*g + 19 = -2*a. What is the nearest to 6\/11 in a, 3\/5, 1\/2, -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 28*q - 1767. Calculate the remainder when 293 is divided by s(65).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10236 and -2302?\nAnswer: 23563272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -26?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + u**2 - 2*u + 2. Let o be g(0). Which is the third biggest value? (a) -3 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 9) in base 15?\nAnswer: -34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - i + 1. Let s be d(-2). Let p = 9 + s. Suppose 0 = 2*b - b - p. Solve 0 = -b*m + 1 - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*y + 14, -2*y + 14 = -4*h + 46. Put -0.9, h, -1 in decreasing order.\nAnswer: h, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3855\/10*240\/18. Calculate the smallest common multiple of 7 and u\/28 - (-3)\/(-21)*4.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -29 + (-3)\/(-2)*28\/21. Let d be 4\/(12\/r*-3). Solve 2*z - d*z = -5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 7)*4\/3. Let w = -3 - y. Let s = -8 - -4. Sort w, s, 3 in increasing order.\nAnswer: s, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16975 - 150*o**2 + 16972 - 33945 + 3*o + o - 3*o to r*o**2 + d + q*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 4, m: 1}. What is prob of sequence ccbc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4185*l + 4529*l - 39 = -1415 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/2)\/((-21)\/6342). Is -2 + 3 + a - (-6)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/18, 10, -0.4184, -1\/8, -2\/11, 0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 3\/((-54)\/(-12)))*6\/(-4). Let n(t) = 9*t + 6. Calculate n(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116.7 - 153. Let w = 30 + r. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 12.514.\nAnswer: 12.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -4*v. Suppose 4*o - s = -16, 5*s = 2*s. Let d be (-7)\/6 - 2\/o. Which is bigger: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 133344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2741?\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 505\nAnswer: 8\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 858 - 389. Let j = 469.3 - x. What is the nearest to 4\/5 in -2\/3, 3\/5, j, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 1.3 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20320, -31665, -43010, -54355, -65700?\nAnswer: -77045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 3*v - 7*v - 2*v. Let w(s) = 5*s + 9*s + 4*s - 17*s + 0*s. Calculate w(f(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 492\/20 - 2\/(-5). Suppose -3*d + 1 + 14 = -2*q, 5*d + q - y = 0. Suppose 4*m = -2*j + 30, j - 15 + 0 = d*m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 58 + 9)*(-12 + (-118)\/(-10))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (-2 + -4*sqrt(1584) - ((-2 + sqrt(1584))*-1)**2)*3)*6.\nAnswer: -28602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g - 88 + 224*g - 18*g**2 - 70*g + 88 - 83*g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223 + -115. Is 4 a factor of i\/14 + 10\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - 14552\/(-340) - (10 + 2).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 76*j - 56. Determine q(-7).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 162.099 * -2.36\nAnswer: -382.55364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -447*w. Let s(r) = -3843*r + 13. Calculate s(y(v)).\nAnswer: 1717821*v + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042726 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.712 - -13.28. What is y rounded to one dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v*v**(-4\/9)\/v)\/(v*v*v\/v**(-3\/2)*v*v**(-4)) assuming v is positive.\nAnswer: v**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -14. Suppose y*r - 71 + 19 = 0. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**(-3)*s)*s\/((s\/s**(-2)*s*s)\/s)*(s**(-2\/7)*s)**(-14)*(s*s\/s**1)**(-6\/13)*s**3*s**0 assuming s is positive.\nAnswer: s**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2673, -4, -3, -17, -258 in decreasing order.\nAnswer: 2673, -3, -4, -17, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:42 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08435456655 rounded to 3 decimal places?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 5*i**2 - i - 9. Give a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/75)\/(2\/16)*-20*(-11)\/264?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from hhftttt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-86 - 202 - u - 118).\nAnswer: 2*u + 812","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 15 = -5*u, 4*u = 3*u + t + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssxbxspqxspsqqqqbp. What is prob of picking 2 s?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1314?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -90, 0.4, 3, -0.018 in decreasing order.\nAnswer: 3, 0.4, -0.018, -0.03, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 67*z = 3430. Suppose 5*n - z = -2*i - 7, 2*n = 0. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let u be c(12). Sort 0, u, 3 in ascending order.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 - 3)*(-6*l + 9*l + 0*l) - 5*l + 0*l + 4*l)*(2*l - 2*l - 2*l).\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*i - 42, 16 + 8 = g - 4*i. Let z(n) = n - 10. Let w be z(g). What is the tens digit of 58\/w + 4\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**5\/o)\/o**23)\/(((o\/((o**(-6\/11)\/o)\/o))\/o)\/o)**26 assuming o is positive.\nAnswer: o**(-629\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + (-3 + sqrt(1053))*6)**2.\nAnswer: -1080*sqrt(13) + 38008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-15))\/((-7)\/(-35)). Which is the third smallest value? (a) -0.3 (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - r + 2 - 2*r + 0*r + r + (0 + 0 - 2)*(3 + 2*r - 3) + 0*r + 0*r + 2*r)*(-6*r + 1 + r - 2*r).\nAnswer: 28*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -82895 divided by 4\nAnswer: -82895\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*-1*(-2 + sqrt(125) + sqrt(125)) - ((1 + sqrt(720)*2)*-3 + -2))**2.\nAnswer: -19040*sqrt(5) + 371145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21 = 5*m - 2*u, -2*m - 2*u - 6 = 0. Let i(f) = f**2 + 5*f + 1. Let y be i(m). Let j be (-2 - 0)\/((-6)\/y). Let g(r) = -4*r**2 + 1. Calculate g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 267*l**2 + 397*l - 137. What is q(132)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*i - 26 = -67, 4*m = 5*i + 43. Let q(y) = -y**2 - 72*y + 4 + 6 + 37*y - 2 + 43*y. What is the remainder when q(m) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 121867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 896, 1143, 1556, 2165?\nAnswer: 3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 - 23.1. Let s = -98 - r. Let u = s + 80.3. Which is the closest to u? (a) -0.5 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47125999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 12 - 13 + 18*o**2 + 43.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 0 + sqrt(68) + sqrt(68) + sqrt(68))*1)**2 - sqrt(68) - (1*(sqrt(17) + 1) + sqrt(17)*2*-4).\nAnswer: 5*sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.5 * 946.\nAnswer: 13717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/6)\/(2 - (-10)\/(-4)). Put v, 4, 2, 5 in decreasing order.\nAnswer: 5, 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/486 and -31\/7?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165115\/17 - 154924\/17. Let q = b - 599. Let h = -6\/85 + q. What is the closest to -0.1 in h, -4, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1378*v**3\/3 - v**2\/6 - 1378*v\/3 + 1\/6 = 0. What is v?\nAnswer: -1, 1\/2756, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4062191658.90784 and -0.4?\nAnswer: 4062191659.30784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 3 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-8))\/(((m*m**(3\/7)*m)\/m)\/m*m*m*m)*(m**(-1\/2))**(6\/5)*((m**(-2\/15))**10)**(-4\/39) assuming m is positive.\nAnswer: m**(25013\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:35 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 64*d**2 + 707*d + 98. What is n(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 10. Let l be g(-6). Calculate the highest common divisor of 28 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/143625?\nAnswer: -4\/143625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/8)*n))\/((n**(-6)*n)\/n))**(2\/123)*(n*n**(-5)*n*n*((n*n**4)\/n)\/n*n)**16 assuming n is positive.\nAnswer: n**(15793\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2846861, 5693715, 8540569, 11387423?\n\"Answer: 2846854*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12273 + -922. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/12 and -127\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/4 + (2 - 2). Solve 0 = s - 4*c + 25, -i*s - 5 = -2*c + 4*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 18. What are the prime factors of 4 + (36 - k) + -3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 187402962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m - 89. Let f be r(7). Is -34 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -965, -1031, -1085, -1121, -1133?\n\"Answer: t**3 - 73*t - 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.032 * 1.\nAnswer: 20.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -341684?\nAnswer: 341683.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16650000 = -4*o - o. Round o to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121215201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232.4046 rounded to the nearest 10?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {i: 8, y: 1, j: 3, d: 1, s: 2, l: 5}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/2 - 20*i**2 + 5*i. Let l be u(16). Solve -l = 2*z - 3*z - 5*p, -3*z + p = -8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 79, 3, 0.027, -2\/3, -1\/5, 9\/4?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22047 - -22045.5423. What is p rounded to 2 dps?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4803\/448 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 1249.\nAnswer: 749.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2050)\/(-8) - 2 - 6\/24 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 - 3*d**2 + 2*d - 2. Let o(u) = 9*u**3 - 7*u**2 + 5*u - 5. Let j be 18130\/(-126) + (-3)\/54*2. Let k = j + 149. Calculate k*p(f) - 2*o(f).\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286\/5 + -283\/5. Let j = 9\/11 - 67\/55. What is the closest to j in 2\/7, 5, v, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 + 12*c + 28. Let j be i(0). Solve -4*z = -g + 13, 5*g - j = 3*z + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1)\/(3\/21). Let u be (8\/(-28))\/((-9)\/s). Let p = -0.05993 - 0.04007. Sort p, 2, u, -1\/4.\nAnswer: -1\/4, u, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 865*v - 12185. Determine j(-14).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let u = 6 + -18. Let f = 23 + u. What is the lowest common multiple of m and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 524121 and -4?\nAnswer: -2096484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -8. Let l = 1111 - 1097. Calculate the remainder when l is divided by (y - -7) + (-1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(133) - 6*-1*sqrt(133) - sqrt(133)) + 1*(sqrt(133) - -2*sqrt(133)))\/((sqrt(175) - (sqrt(175) + sqrt(175)*1)) + sqrt(70)\/(sqrt(50)\/sqrt(5))).\nAnswer: 45*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2\/3 + 100032200*c\/3 - 200064416\/3 = 0.\nAnswer: -25008052, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*c + 13, w + 10 = -5*c. Let o be w\/(-15) + 14\/6. Solve 4*q + o = 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10297\/13 + 793. Calculate the common denominator of p and -11\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 0.04954, 1\/21, 4?\nAnswer: 0.04954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53*385.\nAnswer: -204.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 y, and 1 n when four letters picked without replacement from nynyywwnwnl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 3080528.\nAnswer: -6161056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.226222\nAnswer: -0.0113111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1597 = 351*z - 122*z, 3*l + z + 4*z + 17 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -84*z + 14*z + 25*z + 21*z + 23*z. Let l(c) be the third derivative of c**5\/15 + c**4\/3 - c**2. Give l(u(q)).\nAnswer: 4*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 24 - 16 - l + 2*l. Let r(c) = c + 3. Let h be r(-7). Let x be o(h). What is the highest common factor of 28 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5093 - 1734. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t + 148. Let b be o(10). Let c(n) = n**2 - 10*n + 27. What is the remainder when 108 is divided by c(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1757, 1760, 1763?\n\"Answer: 3*v + 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 + 8*q**2 + 1. Suppose 4*b - 9*b = -40. Let f(j) = -b*j**2 + 9*j**2 + 17*j**2. Calculate m(f(w)).\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 146202448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3766.\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 31*f + 50. Let r be s(31). Let b = r + -1000. Calculate the remainder when (-2)\/3 - 262\/(-6) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + s = 21, 0 - 4 = -4*s. Suppose 2*i - 5*v = d*i + 13, -v + 13 = 3*i. Solve i = -4*o + 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100725 divided by 3.\nAnswer: 33575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 12, 2\/11, 2\/27, -0.14?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61892 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310003373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1274 - 645 - 103 = 337*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from nmrgfng.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 8*k**5\/3 + 302770*k**4\/3 - 782324*k**3 - 908434*k**2\/3 + 2346964*k\/3 + 201888 = 0.\nAnswer: -37854, -1, -1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.3437 and -1347.\nAnswer: 19320.9639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46354 and 11165?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 290, 415, 526?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 18*i**2 - 2937*i + 3403. Determine d(162).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4072, 12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 4*t**5 - 3*t**5 + (4*t**4 + t**4 - 3*t**4)*(-1 + 1 + 2*t) + (-32*t**4 - 28*t**4 + 59*t**4 - 5*t**2)*(6*t - 3*t - t).\nAnswer: 4*t**5 - 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 41. Let h = i - 99\/7. Which is the second smallest value? (a) -3 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12418 + 9*b - 4*b - 12441 + (0 + 2 - 6)*(2 - 2*b - 2) to y*b + q and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 17 + 3 = 0, 51 = 2*u - j. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hxbauuk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1*(-6)\/4. Let b = s - 1. Let n = 6 + b. Solve a + 6 = -2*d, n*d - 9 = -a + 3*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ooopopopoppop?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -99. Sort 4, 5, v, -4 in ascending order.\nAnswer: -4, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1031, 4 in decreasing order.\nAnswer: 1031, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 - 591?\nAnswer: -591.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 6*s + 6. Let c(v) = v - 2. Let q be c(3). Suppose -4*k - q = -25. Let h be t(k). What is the highest common factor of 39 and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 18 = 4*r, 4*g - 1 - 11 = -4*r. Let f be (-1)\/((-1)\/(-2 + 0)). Calculate the remainder when g is divided by -9*((-10)\/(-6) + f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - d = -6605, -52*c + 11008 = -47*c + 2*d. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 91, 853, 2943, 7033, 13795, 23901, 38023, 56833?\n\"Answer: 112*j**3 - 8*j**2 + 2*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1605731628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236363, -941763, -2117429, -3763361, -5879559?\nAnswer: -8466023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 10 - -6) + (620 + -625 - (-1 + -6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44448 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 210\/(-462) + 215\/110. Factor 69*s**3 + 21\/2*s**5 + 33\/2*s + j + 51*s**2 + 87\/2*s**4.\nAnswer: 3*(s + 1)**4*(7*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -5, 25, -14 in increasing order.\nAnswer: -14, -5, -4, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -166.4, 0.3, 458, -0.4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 8*t**2 - 9*t + 3. Let h be w(9). Suppose -4*j + c = -0*c - 564, -3*c = 4*j - 548. Suppose -j - 14 = -7*k. Sort k, h, 2 in descending order.\nAnswer: k, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*u = 3 + 22, 0 = 2*a + 2*u + 22. Let g = a - -12. Suppose g*d - 5 + 1 = 0. Solve 0 = -d*f - 5*r + 24 - 11, -5*f = 5*r - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 23*x + 7378. List the prime factors of m(-119).\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 3*t - 40, -50421*t = -50426*t + 10 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -246 - -249. Differentiate 41*v**4 + 698*v**2 - 698*v**2 - v**c - 53 wrt v.\nAnswer: 164*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 470185 - 39494909\/84. Let u be 2\/(-4) - (0 + (-66)\/252). Let i = b - u. Find the common denominator of 13\/22 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(2\/12). Suppose -u*r = k + 2*k - 4, 5*r = 3*k - 32. Differentiate 3*v**k - 5*v**4 - 1 - v**4 wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*(s\/s**(1\/10))\/s*(s*s**(-1))**(-3\/5) assuming s is positive.\nAnswer: s**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1729779, -3459342, -5188905, -6918468, -8648031?\nAnswer: -10377594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1645 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23250151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r - 13 = 5*l, -5*l = -5. Suppose 2*y = -0*y + 2. Let i(s) = -s - y - r*s - 2*s**2 + 4*s**2. Give i(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20293460 divided by 4.\nAnswer: 5073365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -511.06 + 511. Let n = 0.02 - -0.38. What is the second biggest value in -1\/2, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5771, -9872, -10505, -5936, 5569?\n\"Answer: 289*p**3 - 6124*p + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 - 796 = 41*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/7 (b) 0.1 (c) -5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18076111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15372.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 11)\/(0 + -1). Sort 2\/9, -0.4, a.\nAnswer: -0.4, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1002 + 1004. Let f = 2 - 0. Factor -2*m + 928*m**f - 919*m**v + 3*m**3 - 15*m**3 + 4*m**4.\nAnswer: m*(m - 2)*(2*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 52?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 30702.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38433158.5 rounded to the nearest ten thousand?\nAnswer: -38430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.14 (b) -0.63 (c) 3 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = i. What is the remainder when 63 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - -6. Let l = -7 + 23. What is the remainder when k is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m - 138. Give v(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:50 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 726329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 31\/10)*4. Which is the nearest to 3? (a) j (b) 5 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-110)*30\/12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.1, -1, -20.3, 118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24810502.\nAnswer: 2, 67, 185153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29525*q - 17*q**2 + 29525*q.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of -7 - ((-252)\/(-30) + -9)*(-1 - -21296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2 - 8. What are the prime factors of 2 + d + -2 + 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 121 + 158 = 4*j, -43 = -4*j + 3*q. Let g be (4 + -4)*(-1)\/2. Suppose g = 2*d - 3*n - 43, 4*d + 5*n + 0*n - 31 = 0. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 16*z**2 + 18*z + 19. Let s be f(-17). Find the first derivative of -37 + 4*m**2 - 175*m**4 - 14 + 0*m**s + 174*m**4 wrt m.\nAnswer: -4*m**3 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 3*p + 5*h, 63 = p - 4*h - 25. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212 a factor of 4694266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938 and 242523317.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 21?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 7*l**2 - l + 9. Let f be a(7). Suppose 6*m - 4*m = -2*g + f, 4*m = -g + 16. Is g greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/42 and -61\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102220 + 1?\nAnswer: 102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 11*m**2 + 24*m + 27. Give n(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from ppjkvpkkvk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 12*q**2 - 15*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100011101111100 + -11?\nAnswer: -1110100011101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + -5 + (sqrt(363) - (-2 + sqrt(363))) - (sqrt(363) - -2*2*sqrt(363) - ((sqrt(363) - (-2 + sqrt(363) + sqrt(363))) + 4)))**2 + 5.\nAnswer: -1056*sqrt(3) + 13137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 11*v**2 - 7*v - 20. What is x(-10)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/33 and 2 + 2 + 102\/144 + -3.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -968 divided by -22\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1782 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13338\/(-135864) + 2\/37 and -9 + 6 - 522\/(-170).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - (sqrt(245)*-1)\/sqrt(5))\/((sqrt(70)*2)\/sqrt(10)))**2 + (-1*sqrt(847)*-4)**2 + sqrt(847) + 1.\nAnswer: 11*sqrt(7) + 13560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505290032 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43249 times 0.087?\nAnswer: 3762.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 2*n**7\/105 + n**6\/10 - 4*n**5\/15 - 2*n**4 - 8*n**2 - 367. Factor d(s).\nAnswer: 4*s*(s - 2)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81.56, -4, 72\/13 in decreasing order.\nAnswer: 81.56, 72\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) - 591528\/2417418?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.4. Let r = -5816633705\/1308 + 4446967. Let w = 1\/436 - r. Which is the nearest to 0? (a) w (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-2*d**4 - 2*d**4 + 5*d**4) + d**3 - d**3 - 2*d**4 + (10*d + 8*d**3 - 10*d)*(-3*d + 2*d + 0*d).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156734 + -14105891\/90. Calculate the common denominator of -95\/4 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/8 - 66\/(-88)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8773*s - 8601*s + 6192 = 0 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70.35379 and -0.9.\nAnswer: 63.318411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.06, -2, 3, 0.237, -8, 5 in increasing order.\nAnswer: -8, -2, 0.06, 0.237, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/5 - 544*x\/5 - 542\/5 = 0. Calculate x.\nAnswer: -271, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147527530\/63301 + -4\/9043. Is k != 2332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2)*f)\/f)**(-12\/7)*(f**1)**(-4))\/((f\/f**3*f\/f**(-4\/5))\/(f**7\/(f**(-1)\/f))) assuming f is positive.\nAnswer: f**(302\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = v + 21, 5*a = -2*v - 0*v - 22. Calculate the remainder when 10\/a*72\/(-30) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75728*i**6*n + 3*i**4*n + 280*i**2 + 71*i*n + 3*i wrt i?\nAnswer: -9087360*i**3*n + 72*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-98) - 34\/(-14). Solve x*s + 67 = 73 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(13) + 0 + 5 + -3)**2.\nAnswer: 16*sqrt(13) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-2738)\/(-185))\/(2*(-1)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.2 (c) -58 (d) 0.08 (e) -5 (f) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4274 - -4274.00459. What is j rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(0 + sqrt(22)\/sqrt(2)) + sqrt(66)\/(-4*(sqrt(96) + sqrt(6))).\nAnswer: -4 + 59*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by (-3)\/5 - ((-6)\/27 + 4264\/(-90))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3389 + -3365 + (-3 - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.194? (a) 7\/2 (b) 46\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 10.38.\nAnswer: 23.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*d + 23. Put 108, d, -3 in ascending order.\nAnswer: -3, d, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**5 - t**4 + t**3 + t - 1. Let y(h) = 7*h**5 - h**4 + h**3 - 25*h - 1. Let g(u) = f(u) - y(u). What is the second derivative of g(n) wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c - 6*c + 48*c)*(-3*c**2 + 4*c**2 + c**2) - 1 + c**3 + 1.\nAnswer: 73*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**2. Let j(a) = 2*a**2 - 14*a**2 + 10*a**2. What is j(k(s))?\nAnswer: -162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:37 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 + (3 - 3 - 1)*(2 - 3 + 0))*(-25999*z + 1774*z**2 + 13002*z + 12999*z).\nAnswer: 5322*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1264627\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 229099379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 174389.717 rounded to the nearest 100?\nAnswer: 174400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 28*l - 14. Let z(w) = -9*w + 5. Give -3*r(j) - 8*z(j).\nAnswer: -12*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -47. Let y(g) be the second derivative of -1\/20*g**t + 0*g**2 - 1\/12*g**4 + 0*g**3 - g + 0. Find the third derivative of y(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from kcf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 16, 24, 32, 40, 48?\n\"Answer: 8*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Let i(s) = -4*s + r*s + 5 + 3*s + 0*s. Let y(g) = -g**2 - 7*g + 5. Let v be y(-8). Let m(b) = 2*b + 3. Calculate v*i(t) + 5*m(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-649)\/(-55) - (11 + 5 + -6). Let -3\/5*g**3 - t*g + 12\/5*g**2 + 0 = 0. What is g?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.007 + 67.993. Let s = 68.3088 - p. Let z = -0.3 + s. What is z rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 110, 109, 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-3)\/4*54\/81.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 359*g + 205 - 99 to k + s*g and give s.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1 - m + 5*m + 5*m. Give q(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -35. Find the second derivative of 104*a**3 - p*a**3 + 7*a - 33*a**3 wrt a.\nAnswer: 270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3344212431 (base 5) to base 6.\nAnswer: -422521415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 5 - ((-9 - -3) + 42 + -19 + 46).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 3*v + 828 = 84*d, 28*d - 33*d + 76 = -v for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-54)*-139)\/((-206)\/(-68)). Let f = l + 11\/206. Let q = -13400 - -200917\/15. What is the common denominator of f and q?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(63))\/(-2*sqrt(1089)).\nAnswer: -sqrt(5)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4 + 4)*(-3*b**2 + 2*b**2 + 0*b**2) + b**3 + b**3 + 0*b**3 + 2*b - 6*b - 5*b + b**3.\nAnswer: 4*b**3 - 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -23987\nAnswer: 4797.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -33. Let r = -3 - -13. Calculate the lowest common multiple of a and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 7*m + 7*m + 0*m**2 + 6*m**2 + m**2 + (-3 + 3 + 1)*(m**2 - 5*m + 5*m) - 5*m + 5*m - 5*m**2 + 3 - 3 + 3*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:20 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -14*h + 75. Solve -18 = -0*k - k + 4*v, h = -5*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/15, 0.4, 0.5, -0.3, -2145?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253796419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + 17*y**2 - 2*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbbbgbbbbbgwsnbdb. Give prob of picking 2 b.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.062821 to 2 dps.\nAnswer: -19.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 1. Let p(q) = -q. Suppose -414*h + 418*h + 4 = 0. Calculate h*m(g) - 3*p(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9196929073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.008966\nAnswer: -0.008966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 127995.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Suppose -b = -4*y + 9, -2*b - 5*y + 5 = -3. Sort b, h, 4.\nAnswer: b, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecckeeccc. What is prob of picking 2 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3772032 and 1410?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 460, 473, 474, 457, 416, 345, 238, 89?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -579, -613, -659, -711, -763, -809, -843, -859?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + 16*k + 11. Let h(b) be the first derivative of b**3\/3 + 3*b**2\/2 + 2*b + 4. Let d(t) = -33*h(t) + 6*r(t). Determine c so that d(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -4*b + 4, 0 = o - 4*b - 221. Calculate the remainder when o is divided by (-7 + 1)\/(4\/15*(-5280)\/8448).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - 2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4206 = -5*f + 2*a, 4*f - 5*a = -0*f + 3375. Suppose -4*t = -g + 5*g - f, -416 = -2*g - t. What are the prime factors of g?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r - 4. Let h(f) = 11*f + 25. Let d(j) = 5*j + 12. Let z(b) = -9*d(b) + 4*h(b). What is z(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251435891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/16 and 1076\/(-192) - 5\/(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + n**3 + 0*n**3 + (5*n - 6*n + 2*n)*(2*n**2 + 3*n**2 - 2*n**2) + 4*n**3 - 2*n**3 - n**3 + (3*n**2 - n**2 + 0*n**2)*(-2 + n + 2) + 1 - 1 + n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 3, u: 2, y: 1}. What is prob of sequence ehh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 6*o**2 + 5*o - 5. Let u be i(-5). Let l be 15\/2*(u + 7). Let x(j) = -j**3 + 16*j**2 - 11*j - 20. Is 8 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2672 = 2*t + 5*y, -3*t + 4013 = -0*t + 5*y. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*d - 4 + 32, -2*y = 3*d - 17. Find the first derivative of 4*a**y - 44*a + 13*a**4 - 2*a**3 - 74 + 44*a wrt a.\nAnswer: 68*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 4153152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3230*y**3 + 16*y**2 - 44*y + 214. Let m be t(7). What is m rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 174\/(-42) + (5 - 170\/35). Let a be 0 + (1*2)\/(-8). Sort -0.3, g, -1\/2, a in descending order.\nAnswer: a, -0.3, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 + 127. Let w be (-6)\/(-3 - -129*z\/(-40)). Which is bigger: -28 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7818 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 630663 and -22611.\nAnswer: 608052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293760 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 22*y + 1168. Give a(26).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 5, 26, 12\/73 in ascending order.\nAnswer: -2\/3, 12\/73, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3420701.\nAnswer: 3420701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(3*7\/18*(-99)\/77)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let a(j) be the third derivative of -j**5\/120 - 2*j**3\/3 + 3*j**2. Let o(y) be the first derivative of a(y). What is z(o(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2506310513 + 3?\nAnswer: 2506310516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -11. Find the common denominator of 140\/(-16)*((-8)\/r)\/4 and -2 + ((-5)\/(-18))\/(22\/33).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1873, -1872, -1871, -1870, -1869?\n\"Answer: f - 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 53*d + 5262. Give g(-69).\nAnswer: 1605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3133*p - 9432. Determine a(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3141 + 3139. Let i be 6\/(-4)*119\/21. Is i greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 243*v - 49 + 248*v + (2 + 1 - 1)*(3*v + 3*v - 4*v) - v - 4*v + 3*v as r*v + c and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6992950 divided by -10.\nAnswer: 699295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 349*u**2 + 519*u + 26. Calculate the smallest common multiple of 84 and x(173).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*i + 6 = -4*y, 2 = -i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 12. Let v be m(-8). Let s = v + -20. Suppose -f + 22 + 14 = s. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44786515, 44786514, 44786513, 44786512, 44786511, 44786510?\n\"Answer: -o + 44786516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 53. Let k(g) = -g - 25. Give 6*a(f) - 14*k(f).\nAnswer: 2*f + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/(g\/(g**3\/g*g)))**(-8\/5)\/(g**(-2)*g*g\/g**(1\/11))**36 assuming g is positive.\nAnswer: g**(48\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/81*3\/(-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fliwlwllleewwwelw. Give prob of sequence llie.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1596958 and -0.1.\nAnswer: -1596958.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.089 times 1.74\nAnswer: 0.15486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2156 by -98.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 274*b**2 - 3*b - 1. Let w be a(1). Suppose -5*j + 735 = -w. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/((-2960)\/(-2368)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m*m*(m**(-9)*m*m)\/m*m)\/m)\/m)*m)\/(m*m\/(m*m*m*m\/(m\/(m**(-14)\/m))*m)*m*m))**(2\/11) assuming m is positive.\nAnswer: m**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3439\/738582 + 4\/1671. What is the third smallest value in 4, -5, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1176 and 127\/2940.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7096, -14227, -21358, -28489?\n\"Answer: -7131*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445946659 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 7385*u + 139943. Determine f(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 10. What is b(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20086794 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 56 * -2\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1026 * -0.4.\nAnswer: -410.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-6)*(-30)\/20. Suppose -3*i - 4*p = -116, -176 = -a*i + 2*p - 0*p. What are the prime factors of 236\/9 - 8\/i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 11:07 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4\/3, -476, -17, -5, -2\/31 in descending order.\nAnswer: -2\/31, -4\/3, -2, -5, -17, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23176 - 1b4?\nAnswer: -2332a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 662 and 6620?\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-643 + 209 + 5159*i + 216 + 220)*(0*i + 0*i - i**4).\nAnswer: -5159*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/25475551 and 34\/24957.\nAnswer: 229279959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6407*k. Let y(n) = 2*n**2. Calculate d(y(b)).\nAnswer: -12814*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*j = -1280*j - 1736 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274699 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-18)\/(-15)))\/(90\/(-36))*9464\/(-8788).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**3 + 5*m**2 + 5*m - 13. Let o be u(2). Suppose 4*s = -s + 4165. What is the highest common factor of o and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837455 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgjm when four letters picked without replacement from {j: 1, g: 1, y: 2, m: 2, l: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 - 28\/(-6). Let h(u) = -u**3 - 5*u**2 + 2*u + 4. Let a be h(1). Suppose o + 5*d - 1535 = a, -v*o - o + 5*d + 7675 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*n - 13*n = -142. Let b = -3 - -3. Sort n, 20, b, 2\/19 in descending order.\nAnswer: 20, n, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 2. Let k = d + -1.5. Let n = 1.1 + 1.9. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68a - -69550?\nAnswer: 68971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 - -0.4. Let r = -2 + d. Which is the nearest to r? (a) 0.3 (b) -2\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125103 (base 6) to base 5.\nAnswer: -331422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 212109 (base 12) to base 11\nAnswer: 327214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (68\/(-51))\/((-24)\/90). Solve -13*g + d = -8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m + 13*m + 14*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24626530)\/(-344) + (2\/(-1))\/(-8). Suppose 0 = 6*o + 15*o - q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b + 5 = 0. Let z(f) be the third derivative of f**5\/60 - f**4\/12 - 2*f**3\/3 + 9*f**2. Is z(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -10, 5 in descending order.\nAnswer: 90, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 375. Let a(n) = -2*n - 4. Let f(t) = -2*t - 8. Let z(d) = -2*a(d) + f(d). Give z(o(l)).\nAnswer: -4*l + 750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 35*o - 495 = 0. Suppose o*y = 1235 + 295. Calculate the greatest common divisor of 867 and y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z - 215. Suppose -2*h = 2*l - 13 - 11, h - 5*l - 12 = 0. Calculate the remainder when z is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d + 4. Let x be t(0). Solve b = -5*a + 14, 3*b - 12 = -x*a + 2*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.17427 weeks?\nAnswer: 29.27736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.9 and 0.31281.\nAnswer: 0.907149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 2*n**3 + 6*n**3 + 6*n + 73 - 78 to c*n + t + j*n**2 + l*n**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1909*-43\nAnswer: -8.2087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032558138903356 + -4?\nAnswer: -4.032558138903356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 5)*1\/(-6). Suppose 4*f - 5 + 20 = -m, 0 = -3*m - f - 34. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -52\/5*c**2 - 8\/5 - 38\/5*c**3 - 12\/5*c**4 - 1\/5*c**5 - 33\/5*c = 0. Calculate c.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*z**3\/3 - 11518*z**2\/3 - 46456*z\/3 - 15528.\nAnswer: 2*(z + 2)**2*(16*z - 5823)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11*5\/(-525) + 22\/231. Sort -0.2, l, 0.21, 2\/21 in decreasing order.\nAnswer: 0.21, l, 2\/21, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249 - -250. Is 1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331 or -369?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12356547 and 0.043911161?\nAnswer: 12356547.043911161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 3 (b) -4 (c) 54\/5 (d) 1\/5 (e) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -173 - -173 - (0 - 17) - 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let b be f(6). Factor 4*x - 4*x + 2*x**3 + b*x**2 + 2*x + 2*x.\nAnswer: 2*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 943.1 and -4118?\nAnswer: -3883685.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 5, r: 4, w: 7}. Give prob of sequence ffrr.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.6778?\nAnswer: -2.7112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) + -5*-1*sqrt(324))\/(sqrt(1452)*-2 + sqrt(1452) - sqrt(1452)))\/(sqrt(225)*1*-2 + sqrt(225) - (-5*-1*sqrt(225) - sqrt(225))))**2.\nAnswer: 27\/75625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let m(o) be the second derivative of 0*o**3 + 1\/55*o**5 + 0*o**2 - o + w + 1\/66*o**4 + 1\/165*o**6. Find r, given that m(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 20*c - 20*c + (0 + 0 - 1)*(-c**3 + 2*c**2 - 2*c**2) to the form x*c**3 + q*c + u*c**2 + v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 3*z. Let k(s) = -2*s**2 - 5*s + 1. Let x(u) = -7*a(u) + 4*k(u). Suppose d = -3, -3*j = 3*d - 2*d - 33. Suppose i = -9 + j. Determine x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 21*q**2 - 8*q + 1. Calculate z(21).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625 divided by -13?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 12. Let c = -39\/5 + q. Let o = -8 + 8. What is the closest to o in 0.1, c, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -6 - 0) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = 0, 57 = 4*d - d - 3*u. Suppose -76 = 2*o + d. What is the units digit of (-12)\/(-9) - o\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -81*n**3 - 5*n**2 - 40*n. Let u(v) = 1376*v**3 + 86*v**2 + 688*v. Calculate 86*i(z) + 5*u(z).\nAnswer: -86*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 6130*v = 3062*v + 3066*v - 110, -4*y - 3*v - 169 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 + y - 3. Let g be f(-3). Calculate the remainder when 34 is divided by -4 - 1*34*12\/g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjlmjmvjjlvllllmmvm. Give prob of picking 1 j and 2 m.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*p**2 - 4*p**2 - 230*p + 488077*p**3 - 488079*p**3 to the form y*p + d + r*p**2 + z*p**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/11)*n)\/(n*n**(-7))*(n*n*n**(3\/4)\/n)\/n**(-8))**(-33) assuming n is positive.\nAnswer: n**(-2223\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36910282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001143704 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/2))**(-43)*(o*o*o\/o**(-13)*o*o)\/(o\/o**(-1\/29)*o) assuming o is positive.\nAnswer: o**(-2815\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**4 + l**2\/2 - 43*l + 71. What is the first derivative of g(x) wrt x?\nAnswer: -12*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 81*b + 472. What is y(8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 + 5*i**2 + 5*i - 5. Let v = -7539 + 7544. Let k(r) = 3*r**3 - 4*r**2 - 4*r + 4. Suppose -3*y = 2*y - 20. Calculate v*k(q) + y*p(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 32.903 times -1\nAnswer: -32.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 12:35 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 0*a + 7\/2*a**2 + 56. Let t(w) = -2*w. What is t(v(p))?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-760)\/126 - (-15)\/15*6.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(4 + (-976)\/248). Calculate the greatest common divisor of w and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(27\/12 - 2). Suppose 3*s = 2*s - g. List the prime factors of (1 - -31)*(-4)\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -13?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1001111011 (base 2) to base 16\nAnswer: 27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53961935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381574, 763150, 1144730, 1526314?\nAnswer: 1907902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + b1?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1335 - -887. Let r = g + 547. Calculate the lowest common multiple of r and 63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 11*l**2 - 11*l + 15. Determine s(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + z - 4, -3*k - 5*z + 4 = -3. Suppose -n - 4*n = 4*v + 6, -4*n - 2*v = 6. Which is the closest to 1? (a) 0.1 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 7874 = 47*v - 270*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 9, w: 6}. What is prob of picking 2 t and 1 u?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 33*l**2 + 31*l**2 + 57*l**2.\nAnswer: 55*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by 2619.\nAnswer: -11\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3391 * 233012.\nAnswer: -790143692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 8*v - 5*v = 7, 5*p - 21 = -4*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14100 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = 4*v + 10, -3*z = -3*v. Let l = -73.031 + 73. Let x = -1.031 - l. What is the second smallest value in x, v, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)*(-4)\/(-4)*-9. Calculate the greatest common divisor of s and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - -13. Round t to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*d)*((2 - 2*d - 2)*(4*d - 4*d + 2*d) + 9 - 9 - 7*d**2).\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2678833 is divided by 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = -g + 2, g + 3 = 2*n. Suppose -n - 4 = -6*x. Is 1 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 24 = -4*i, -5*j + 2490 = 5*i + 2450 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 866025682 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:22 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t = 16*t - 54*t - 327 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8805167*l**6 + 8*l**3 - 28203*l**2 - 119*l - 2?\nAnswer: -1056620040*l**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041190705 to the power of 1\/2, to the nearest integer?\nAnswer: 32267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 18*d + 11*d**2 - 12*d**2 - 174.\nAnswer: -d**2 - 17*d - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 50*d**2 - 612*d - 54. Give v(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.9. Let s(j) = j - 8. Let f be s(11). Suppose 5*w = f*w. Which is the biggest value? (a) w (b) 1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/252 and ((-83)\/(-18))\/(19 + (-960)\/45)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x - 4. Let l be g(-7). Let o = -38110 + 38110. Solve o = -l*k + 5*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204903756 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32822 by -10269.\nAnswer: -32822\/10269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 13*m**8\/336 + 7*m**4\/12 - 20*m**2. What is the second derivative of x(b) wrt b?\nAnswer: 260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 382*m. Let r(d) be the third derivative of 11*d**5\/60 - 3710*d**2. What is r(s(i))?\nAnswer: 1605164*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/11 or -12\/7?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - -0.2. Sort -3\/8, p, 1\/4.\nAnswer: -3\/8, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {a: 2, v: 3, e: 7, f: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 5*x**4 + 0*x**4 - x**4 - x**4 - 2*x**4 + (2 + 1 - 6)*(x**4 + 0*x**4 + 0*x**4) - 2*x**4 - 2*x**4 + 0*x**4.\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9919 - -160571. Round u to the nearest one thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/9 and 12\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-20)*5)\/((-1*3)\/(966\/69))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 34*z + 10*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 2. Let p be n(3). Suppose 0*g + p = -4*g. Let i(d) = -d**2 - 7*d - 5. Give i(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(-6 + 2 - 2)*(0 - 4 + 2)*(-1 + 2 - 3)*(-7*t**2 + 3*t**2 - 6*t**2).\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**7\/210 + s**6\/15 - 2*s**5\/5 + 4*s**4\/3 - 8*s**3\/3 + 16*s**2\/5 + 6*s. Factor v(y).\nAnswer: -(y - 2)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -77.\nAnswer: -5\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31588 and 1060?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58724*q = 58729*q - 25, -2*q + 28 = 2*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.99? (a) 1 (b) 93 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.51 + -0.79. Let p = -120184 - -120190.30488. Let f = p + r. Round f to four decimal places.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 18*l = -18*l, 5*y - l - 13285 = 0. Calculate the remainder when y is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -417\/7. What is the nearest to 0.2 in w, 4, 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 0 - 5 - -65. Suppose 0*i + 30 = -2*h - 3*i, -4*i = 4*h + g. Let y = 20 + h. Calculate the smallest common multiple of 58 and y.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 2752374168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 12 = v. What is the first derivative of 1 - j + j - v - 2*j**4 wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8558 is divided by 23 + -1 + -2*(36 + -33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 3:57 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/10)\/(2\/8). Let t = 1 + f. Let x = 7 + t. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**4 - 138*u**3 + 1 - 2 - 2890*u**2 - 18*u**3 + 2938*u**2 + 10 wrt u?\nAnswer: -24*u - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*s - 2 = 0, 18 = -13821*v + 13822*v + 4*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 445 and 890.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 11) to base 2.\nAnswer: 10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/11 and -53\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/20 + o**4 - 19*o**3\/6 + 8*o**2 - 38*o - 2. Is 16 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 - 80*v + 320 = 0. What is v?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 201731 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 389010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-56))\/((-1)\/(-28)). Factor 3*h - t*h + 18*h**2 + 21*h**2 - 38*h**2.\nAnswer: h*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383*f - j = -1384*f + 24977, -3*f + j = -74939. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 2. Let k be b(1). Let g(v) = 35*v**2 - 1. What are the prime factors of g(k)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*y + 452*y - 66 = 0. Solve -4 = y*o + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -31, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -1\/4698 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 56*v - 196. What is the remainder when s(48) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4393.58 times -0.2\nAnswer: 878.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4749198484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 179 + -2 + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r - 2219 + 1259 = -11*r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 12318*s**2 - 25288854*s + 17306005754.\nAnswer: -2*(s - 2053)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 + 35\/(-10). Is 17 a factor of b\/30 - 4834\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/48 and 41\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*j + 173*j + 48046 = 2*g, 2*j - 48016 = 3*g. Is j a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 7, q: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 2, t: 1, u: 1, f: 3, i: 1}. Give prob of sequence iu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-11 + 3 + 2). Let d = 2 + 3. Is i less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12035 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 7*q - 42. Let n = -70 - -47. Let c = n - -12. Let r be a(c). Solve l = r*w - 6*w + 13, -15 = 5*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(sqrt(1539) + -1))**2.\nAnswer: -108*sqrt(19) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 17433, 4\/9, -73 in ascending order.\nAnswer: -73, 4\/9, 14, 17433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3060 = 24*n - 39*n. Suppose -6 - 14 = -2*p. Let j be n\/p*((-347)\/3 - 1). Round j to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0*y - y + 5 + 5. Let z be p(8). Suppose 2 = z*u - 16. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**7\/105 - 5*j**5\/6 + 16*j**3\/3 - 2*j**2 + 16. Find the first derivative of w(f) wrt f.\nAnswer: 8*f**3 - 100*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*a + 91 + 65, -4*a = -t - 148. Let u = a + -33. Solve 2*b - u = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 762*l**2\/5 + 10616*l + 85952\/5.\nAnswer: 2*(l + 68)*(381*l + 632)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12671.11 litres?\nAnswer: 12671110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9259171 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 38, 62, 104, 170, 266, 398?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3\/4, 38, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6395245339?\nAnswer: 7, 8101, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(15\/4))**(-3\/29)*(s\/(s*s*s**(2\/77)))\/s**(7\/8) assuming s is positive.\nAnswer: s**(-28877\/17864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 9 - (-8 + -10 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuznzzzuu. What is prob of sequence nz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4731971*-0.5.\nAnswer: -2365985.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 11 = -5*j - 7, -4*x + 13 = -3*j. Let c be j\/(-9) - (-13)\/(-3). Let n(v) = v**2 - 2. Is n(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/15)\/p*p*p)\/p**2)\/(p*p\/p**(-1)*p*p**(-2\/7)) assuming p is positive.\nAnswer: p**(-509\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 - 0.03. Let w = -0.25 + g. Which is the third biggest value? (a) 1\/2 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.75711228 - 0.\nAnswer: -2.75711228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 7*f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 10*p + 11*p)*(5*p - 5*p - 7*p) + (-4*p + 4*p - 2*p)*(-2*p + p - p).\nAnswer: -87*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 14 - 2 + 2 + 0 - 4 + (3 + 2 - 3)*(0 - 1 - 1))*(6054*n**2 - 214*n - 12113*n**2 + 6060*n**2).\nAnswer: -35*n**2 + 7490*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 332\/68 - 107\/(-391). Is 0 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4846664 - 4846664 - 2022*f)*(2*f + 0*f + 0*f) to the form l*f**2 + k + t*f and give l.\nAnswer: -4044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.2 + -13. Let k = 4 + -4.2. Let m = 0.3 + k. Which is the third biggest value? (a) -8 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:02 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 398521 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(-4)\/(-3))\/(344\/(-516)). Solve h*q - 1 = -y, -2*q + 16 = 2*y + 2*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101657 + 180000. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79767.36 micrometers to meters.\nAnswer: 0.07976736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0.1 (b) 2 (c) 5 (d) -0.05 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*z**4 + 3*z**4 - 4*z + 16*z wrt z.\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5629 rounded to 2 decimal places?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.9. Let v = -27061 - -27060.9. Let n = -1 - 1. What is the nearest to f in 0.3, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/6 or 5?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3192702ug to kilograms.\nAnswer: 0.0000000003192702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 486 - 487. Let p be (36\/x)\/(-1) + (-39 - -36). Solve -34*h - 2 = -p*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.999793 to 2 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103557126*w + 103557125*w - 2*w**2 - 207114251*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177 * -49.\nAnswer: -8673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*y - 4. Let x = y + 5. What is the lowest common multiple of 5 and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/2 (b) -4\/9 (c) -4 (d) -21\/10 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*h**2 + 71*h**2 - 11*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -8, -0.14, -1\/2, -0.3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58a09 - 0?\nAnswer: 58a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let i = 1 + c. Find l such that -1\/2 + 1\/2*l**2 - i*l + 2*l**3 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 - 3. Let i = m + -1.8. Which is the third smallest value? (a) -4\/7 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283839142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38466 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*252\/4347*3\/(-2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (190\/25 + -7)*(-5)\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578212201 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 2, -39, 2\/7, 2\/37 in descending order.\nAnswer: 2, 2\/7, 2\/37, -6\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -498 - -536. Suppose 19*a + 95 = i*a. Let s = 10 - 7. Solve -u + a*v + 23 = 0, -5*u - s*v - 2 = 23 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 99. What is the highest common factor of 72 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 11. Let u be (2 + 5\/(-2))*10. Let n be d(u). Is -11\/4 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/5))\/(((r*(r\/(r**5\/r*r))\/r)\/r)\/r*r)*(r**(-2\/5)\/r)**(2\/27))**45 assuming r is positive.\nAnswer: r**(715\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**10\/181440 + z**9\/12960 - z**8\/4032 + 107*z**4\/24 - 85*z**2. Let y(i) be the second derivative of f(i). Factor y(x).\nAnswer: -x**3*(x - 5)*(x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*k**5 + 29*k**5 + 28*k**5 + (0*k**2 + k**2 - 2*k**2)*(-2*k**3 + 4*k**2 - 4*k**2) - 5*k**5 + 3*k**5 + 3*k**5 - 529 + 529 - 27*k**5.\nAnswer: 113*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than 27?\nAnswer: 28.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0*k**5 + 2 + 0*k**6 + 0*k**4 - 17\/42*k**7 - 83*k + 1\/3*k**3 - 33\/2*k**2. Find the second derivative of a(l) wrt l.\nAnswer: -340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11 + ((-729930)\/1395)\/58\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/10 - 191*l**3\/10 - 123287*l**2\/10 + 124611*l\/10 + 370413\/5 = 0.\nAnswer: -269, -2, 3, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(4598) + sqrt(4598)*-1)\/(3*sqrt(18)))**2*6*5.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22257, -44499, -66741?\n\"Answer: -22242*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 8.8. Let v = 3 + i. Let j = 8 + v. Which is the biggest value? (a) 4 (b) 0.6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 459 + -369. What is the highest common factor of 36 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1123 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42087 is divided by 121.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2751609 greater than or equal to -2751608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6)*3*-1. Let p = -8 - b. Solve p - 5 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3729 - ((-783)\/27 - -8). What is the greatest common factor of b and 1725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 626 + -387. Let z(r) = r**2 - 11*r - 31. Calculate the remainder when w is divided by z(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 59 = 2*h. Suppose 3*t - 4*t = -h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 26. Suppose 4*i = 5*i + 18. Let s = z - i. What is the remainder when s is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -21 - (6 - (-13 + 14))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -321*v**3 + 7*v**2 - 9*v + 78. Let x(a) = -214*a**3 + 5*a**2 - 6*a + 54. What is -9*o(m) + 13*x(m)?\nAnswer: 107*m**3 + 2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*1)\/(sqrt(1200) + sqrt(1200)*2)*4.\nAnswer: 4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235\/35 + 20\/70.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-8)\/18)\/(-1))\/(4\/(-14)) and 76\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, w: 1, q: 3}. What is prob of picking 1 w, 1 q, and 2 i?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o + 3. Let n(v) = -37*v + 7. Let l(k) = k**2 + 326*k - 2333. Let p be l(7). Give p*n(c) + 5*q(c).\nAnswer: -21*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 829007 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27314, -7, 3\/2, 4, -2.6, 0.4?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*r + 48 = -0*w, 2*r = 4*w - 64. Suppose 0 = 6*n - 2*n - 280. Calculate the greatest common divisor of w and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1269644 and -35\/11426796.\nAnswer: 11426796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 9*i - 6*i - 125*i.\nAnswer: -136*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17339.80991 - 17319.81. Let t = -16 - 4. Let v = t + f. Round v to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/24 + (-40)\/(-15). Let s(i) be the third derivative of 0 + 1\/24*i**4 + 0*i + 5\/3*i**3 + 18*i**m. What is s(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 24 = -5*l, 4*a - 3*a + l = 6. Let z(k) = 4*k + a - 5 + 8 - k**2. Give z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.88 and -0.18?\nAnswer: 0.6984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1383613, 2766649, 4149687, 5532727, 6915769, 8298813?\nAnswer: 9681859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 - 2*u + 1. Let j(z) = 7*z**2 - 2*z + 1. What is -3*j(r) + 4*m(r)?\nAnswer: 7*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -113\/2 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1 (c) 2 (d) -4 (e) -3.35 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*d - 2)*(4*d - 4*d + d)*(-22 - 4*d + 22) to the form h*d**3 + r*d + y + l*d**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (60 - (-52 + 74))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = -3*i + 16, -i = -3*s + 8. Let k(o) = 20*o - 23. Let x(v) = -7*v + 8. Let j(u) = -6*k(u) - 17*x(u). Let m be j(2). Solve i*g + 4 = -m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/15600 and 157\/234.\nAnswer: 46800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 8:05 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7447.80259546 - -7656.802598. Let a = i + -209. Round a to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Let a = z + -1. Let b = -2 + 2.4. What is the third biggest value in a, -3\/2, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from ttctctttttttttct?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 895.18 from -382160.\nAnswer: -383055.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = l - 8, -5*w = -3*l + 10 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103013 + -20?\nAnswer: 102333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 3*s**3 - s**2 + 6. What is the second derivative of n(v) wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1254, -2498, -3762, -5046?\n\"Answer: -10*q**2 - 1214*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (0 + 1)*-2. Suppose -z*r - 24 = -179. Round r to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100110 (base 2) in base 8?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - -136. What are the prime factors of s?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 471429 in increasing order.\nAnswer: -7, 3, 471429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -363? (a) 2 (b) 0.02 (c) 3 (d) -4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3658489871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b + 36. Let i be d(0). Let a be (1\/3)\/((-4)\/i). Let t(h) = h + 4. Give t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 + -204.99999064. What is s rounded to seven decimal places?\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 55*g - 367. Give f(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -65*h - 14. Let b(t) = -8*t - 1. Determine -b(s) + i(s).\nAnswer: -57*s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.7746044us?\nAnswer: 0.000000000055261625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p - 37. Let x(w) = -w**3 + w + 5. Let a be x(0). Suppose 180 = a*u + 60. What is the highest common divisor of p and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27342 and 868.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13170 + 0?\nAnswer: -13170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3*s**3 - 1267*c**3 - 2*c**2 - 122010*c*s**2 - 636*c wrt s.\nAnswer: 6*c**3*s**2 - 244020*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 4*g + 45. Let w be m(7). Let u be (-5195)\/w - (-1)\/5. What is the greatest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/9 - 14452*k**3\/9 + 1000760*k**2 - 1804928972*k\/9 + 119527761482\/9 = 0.\nAnswer: -7817, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 + 10*t + 15. Let f be q(11). Suppose 5*y + 59 + 69 = f*z, -2*y = 5*z - 160. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**(2\/13)*p))\/p)\/p*p)**27 assuming p is positive.\nAnswer: p**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 1.13.\nAnswer: -0.0791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.91 + -11.01. What is the fourth biggest value in 0.5, 1, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*(0 + sqrt(275)) - ((sqrt(275) + 1)*-2 + sqrt(275))))**2 + 4.\nAnswer: -300*sqrt(11) + 6915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-15))\/((-5)\/125))\/(0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(666 - 341 - 491)*(-2*c + 0*c + 0*c - 5*c + c + 3*c + (-c + 3 - 3)*(2 - 4 + 4)).\nAnswer: 830*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/2 + (41\/2 - 17). Solve -3*u - 4*j - 6 = 0, 2*u + j + 0 + 4 = x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 20. Let t be q(-15). Calculate the highest common divisor of 35 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -892 + 802. Let o be 17 + 2\/(20\/r). Sort o, -5, 0.1 in ascending order.\nAnswer: -5, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmehehemmnmmhhh. Give prob of sequence hnee.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 1998 = 5*z - 3*a, -5*z = 4*a - 1999. Suppose -z = -3*l + 663. Calculate the common denominator of ((-2)\/(-4))\/((-21)\/l) and -59\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 11}. Give prob of picking 2 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -503 + 517. Calculate the remainder when 51 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.72 minus -198202.923?\nAnswer: 198188.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**2 + y**5 + 2*y**5 - 20*y**4 + 10*y**2 + y**5 + 24*y**3 - 32*y = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(136)\/sqrt(4))\/(sqrt(14)\/((sqrt(63) - sqrt(7)) + sqrt(7))))**2*-2*-1.\nAnswer: 4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -44, -6, 1 in decreasing order.\nAnswer: 1, -1, -6, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325*0.008778.\nAnswer: 2.85285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 8*a + 12. Let l be d(7). Solve 0 = -l*g - 3*i - 1 - 4, -4 = 4*g - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1331) - -3*sqrt(1331)*3 - sqrt(1331))*2 - -4*(-3 + 1 + sqrt(1331) + (sqrt(1331) + -4 + -1 + sqrt(1331) - sqrt(1331) - sqrt(1331))))**2.\nAnswer: -13552*sqrt(11) + 644988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2 - f + 4 - f**3 + 2*f + 3. Let y = -9 + 15. Does 13 divide r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)\/((-39)\/(-144)). Sort 0.2, o, 1, -1.\nAnswer: o, -1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349286 divided by -109.\nAnswer: 349286\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5358*c**2*q**2 - 3519*c**2*q + c*q + 2*c - 2 wrt q?\nAnswer: 10716*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*c - 4*n + 30, 4*c = -3*n + 60. Suppose 0 = 4*z - 39 + c. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36033 (base 8) in base 12?\nAnswer: -8aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-4)\/24 - 1. Solve 2 = -v*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/3*(-318)\/265. Suppose -4*n - 2533 = -5*h, 4*h + n = -o*n + 2014. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*z - 42669 + 36361 = 0 for z.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 632 = 7*s. List the prime factors of s.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 3 + 5)*(12*j - 3*j - j) + (3 - 3 - 2*j)*(3 + 4 - 4) + 10 + 4*j - 10)*(-2*j - 2*j + 3*j).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-9\/2)*(c*(c\/(c**(-1\/3)*c))\/c*c)\/c*c assuming c is positive.\nAnswer: c**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675505 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*3 + -1 + 5. Suppose d - 6 - 4 = -n, 0 = -a*d. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24450 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11406, 46051, 103792, 184629?\nAnswer: 288562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnu when three letters picked without replacement from {b: 1, u: 5, l: 9, i: 1, n: 2}?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 3*(sqrt(152) - -2*sqrt(152)))\/sqrt(8).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c**3 - 3*c**2 + 3. Let y be (28\/(-4)*(-9)\/(-3))\/(-1). Let a = 24 - y. Let o(g) = 39*g**3 - 8*g**2 + 8. Calculate a*o(s) - 8*t(s).\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - (-36)\/15. Suppose -x*v - 2*v = -12. Suppose 2*p = 3*i - 17, v*p - 34 = -6*i + 2*i. Calculate the remainder when 19 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 + 0 + 5 - 4*l**2 - 4.\nAnswer: -17*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v - 72. Let b(a) = -a + 18. Let m be b(9). Let o be f(m). Which is smaller: o or 0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/((a*a*a\/(((a**(1\/7)*a)\/a)\/a))\/a)))\/(a**(3\/10)\/a)*((a\/((a*a**2\/a)\/a)*a*a)\/a)\/a*a**(-1)\/a assuming a is positive.\nAnswer: a**(39\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 925 and 9025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881089 is divided by 67741.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 110. Suppose a*z - 19 = 29. Calculate the common denominator of 77\/36 and (-159)\/48 - 9\/z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 61 = -5*d, -3*d + d + 89 = 5*x. Solve -x = -9*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 2*m - 5. Let b(r) = -5*r**2 + 9*r - 20. What is -2*b(i) + 9*o(i)?\nAnswer: i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**2 + 3*k + 3. Let m(a) = 88*a**2 + 39*a + 37. Let r(o) = -178*o**2 - 80*o - 75. Let g(v) = 5*m(v) + 2*r(v). What is 35*c(b) - 3*g(b)?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z + 4*p = -44*z + 8, -2 = 2*z - 3*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157593 - -121188967\/769. What is the common denominator of 73\/3 and w?\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -30, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 37. Let q(x) = x**2 + x + 28. Let c be q(-10). Suppose 42*j = -c - 8. Put j, t, 2 in ascending order.\nAnswer: t, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyppjyppyem. Give prob of sequence myp.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110399 + 110398.931051. Let i = m - -3.0689458. Let z = 3 - i. Round z to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749456303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 6*o**3 - 3 - 6*o - 4 - 3*o**3 - 2*o**2 + 4*o**3. Let d(l) = 3*l**3 - l**2 - 3*l - 4. Calculate -4*b(u) + 7*d(u).\nAnswer: u**3 + u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 10. Let s be w(-7). Suppose -z + 45 = s*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2933*(6\/(-21))\/(12\/(-91)). Let x = j + -6330. Find the common denominator of -71\/12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13053*g**4 + 475*g**2 - 2*g + 5?\nAnswer: 313272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 9*d**2 - d - 3. Let n be r(-9). Let t = n - -11. Let j = t - 12. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 1, x: 3, c: 1, t: 2}. What is prob of picking 3 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 0*a = 9250. List the prime factors of a.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/48318 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(570\/40))\/(2*-1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 450 = 382. Let d = f + 413. Let x(t) = 4*t + 2. Let s(z) = 4*z + 1. Calculate d*x(y) + 4*s(y).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -30*p - 2894. Let c be t(-97). Solve 4*m = c, 3*m + 1 = -d + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-39))\/((-22275)\/12870).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9269363.92 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30302.\nAnswer: 2, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -3, -13, 0.3, 0.1, -20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53 (b) -110 (c) -15360\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 - t - 2. Calculate r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(-2*sqrt(2) - sqrt(2)))\/((-1*sqrt(88))\/sqrt(11)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 1 - 0. Let q(u) = u**3 + u. Let h(o) = -15*o**3 - 4*o - 1. Let y(b) = h(b) + 4*q(b). Does 10 divide y(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2 - 2. Suppose -3 = -a*l + 3. Let k be (l + (-9)\/(-3))*1. What is the highest common factor of 54 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2420, 9256, 20528, 36236, 56380, 80960, 109976?\nAnswer: 143428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y + 62*y = -96. Let s(m) = m**3 + 8*m**2 + 5*m + 11. Determine s(y).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(-y + 3*y - 4*y) - 5*y + y + 2*y)*(-2*y**2 + 32*y**3 - 14*y**3 + y**2).\nAnswer: -72*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 9, 2\/13, 13\/69, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/37 or 0?\nAnswer: 48\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Suppose -w = y*o - 18, -3*w - o + 11 = -11. Is ((-2)\/3)\/(w\/(-63)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.44 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5030783 to the power of 1\/2, to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32a285b - -1b?\nAnswer: -32a2840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2405, 2407, 2411, 2417, 2425, 2435?\nAnswer: 2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2664 divide 406304900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16722 by 1858.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282993409?\nAnswer: 59, 21745651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 3897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 414 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/263 in -0.5, 5\/6, -1927, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-1)\/(-2)*-2. Suppose -4*r - 5*c = 2, 3*r + 2*c + j - 5 = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-2) + 3)\/(-1). Suppose -4*a + 61 - 13 = b. Calculate the highest common divisor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 8*f + 0*f)*(-f + 2*f + 0*f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268153875.\nAnswer: 3, 5, 11, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394354.\nAnswer: 2, 13, 53629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15843 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565709651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/270 - q**4\/54 + q**3\/27 + 16*q**2. Determine x so that t(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2*h**2 + 3*h**2)*(-1 + 3 + 3*h + 0) + (2*h + 3*h - 6*h)*(-1888*h**2 + 831*h**2 + 767*h**2).\nAnswer: 296*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*u + 300, -2*h - 8*u + 13*u = -141. Calculate the remainder when h is divided by (9\/(-1))\/(1*-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - 2) - (-12 + 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/3 (b) 2\/3 (c) 5\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 6*d - 612. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {h: 5, x: 4, s: 2, w: 1, q: 1, n: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -314596*d + 52852130. Give p(168).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19413506807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:13 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.388658 litres?\nAnswer: 3388.658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1377109 + -0.04\nAnswer: -1377109.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + 560\/3. Let i(k) = 3*k**2 - 6 - n*k + 187*k - 2*k**2. Let y(r) = 3*r. What is y(i(q))?\nAnswer: 3*q**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y, 0*y = 2*p - 2*y - 542. Suppose 9*r + 80 - p = 0. Calculate the remainder when (-123)\/(-7) + r\/49 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/(-19))\/(-72)*(-30)\/(-4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) -80 (c) -0.1 (d) 0.4 (e) 32 (f) 2\/3 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -162391 (base 13) to base 8\nAnswer: -2055536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 7}. Give prob of picking 2 e and 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 5) to base 11.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**4 assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29116 - 2*r**2 + 10*r**2 + 7*r**2 + 29116.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 13. Let h(v) = -v**2 + v - 2. Let r be h(-2). Let y be i(r). Let c be 44 + (y + 3)\/(-2). Calculate the highest common factor of 30 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 86.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 118964257303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35034 (base 9) in base 10?\nAnswer: -23359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a91 - -129?\nAnswer: -2964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.121, -3\/5, -5.3, -2\/7 in descending order.\nAnswer: 0.3, -0.121, -2\/7, -3\/5, -5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 4, s: 10, w: 1, d: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -994561*b**6 - b**2 + 272861?\nAnswer: -119347320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 - 15.1. Let i = -23 - y. What is the nearest to -0.1 in 5, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 + 20. Let f(p) = 1. What is 20*f(v) - r(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 11*h**2 - 5*h + 5. Calculate k(-9).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s\/s**6*s))\/((s\/(s**(1\/4)*s))\/(s**7*s)) assuming s is positive.\nAnswer: s**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n + 7*n + 192. Let i be (6\/4)\/(n + (-47)\/(-6)). Which is bigger: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*p - 1996*p**2 - 1 + 42*p - 8*p + 1998*p**2 + 37*p to the form j*p + y + t*p**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z\/z**(2\/9)*z*z*z)\/z*z*z**(1\/2))\/(((z*z**(3\/4))\/z)\/z**(-5))*((z\/z**(-3\/2)*z*z)\/(z\/(z*z**(-3)*z)))**(29\/5) assuming z is positive.\nAnswer: z**(541\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.178 and -2.5282?\nAnswer: -0.4500196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29270*h**3 - 37*h**2 + 756*h + 2 wrt h.\nAnswer: 175620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117404.\nAnswer: 2, 41, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 189\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2184\/19152 - 3\/(-57)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/12 - j**3\/6 - j**2. Suppose 0 = -5*z - 4*h - 9, -6*h + 41 = -5*z - 2*h. Let y = z + 3. Calculate n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2302 + -1813. Solve -480*x = -c*x - 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 2*m - 3. Let r be l(-2). Suppose -r = 3*g + 35. Let t = -10 - g. Solve t*x - 15 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 15) to base 10\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-24)\/(-4))*4\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w - 2. Let s(b) = -2114*b - 37. What is s(c(l))?\nAnswer: 12684*l + 4191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 5*(0 + sqrt(1300)))**2*-4 + (((sqrt(1300)*1 - sqrt(1300)) + 1 + sqrt(1300))**2 + 4)*-5)*5.\nAnswer: -683125 + 9500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256300345 (base 7) to base 14.\nAnswer: 22700cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - f - f)*(-3*f - 2304 + f - 2*f**2 + 2482) to q + z*f + t*f**3 + k*f**2 and give z.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 at least 1575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 y when four letters picked without replacement from {g: 5, e: 2, s: 2, y: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + 5.7. Let p = -8 + x. Put p, 1\/3, -0.7 in descending order.\nAnswer: 1\/3, -0.7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:02 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1 + 1 - 2 + 1 - 232*k + 230*k. What is j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*a**2*q**3 + 2*a**2*q*y - a**2*q - 5*q**3*y - 5*q**3 + 21*y**4 wrt y.\nAnswer: 2*a**2*q - 5*q**3 + 84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -0.2, -1, 3, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Suppose l*p = -2*p. Solve -2*r + 5*r + 3 = p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190 - 613 + 3*t - 688 + 117 + 130 to the form u + c*t and give u.\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 19*j**2 + 41*j + 20. Let g be n(21). Let u(b) = -11*b - 7. Give u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -4*n + 548. Let v = -4 + 7. Suppose q = v*q - n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d**2 + 3*d. Let y = 7 + -11. Let o be j(y). Suppose -o*m = 0, 3*q + 5*m - 8 = 16. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 + 2*q - 1. Let t(u) = -4*u**2 + 0*u + 0*u - 2*u + 1. Let p(k) = -6*i(k) - 7*t(k). Let x be ((-2)\/(-2 + 3))\/(-2). Calculate p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d + 3*d + d)*(2 - 2 + 2) - d + 0 + 0)*(-26*d**2 - 1078844*d - 2 + 1 + 1078846*d).\nAnswer: -26*d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10337065 by 22.\nAnswer: 10337065\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -213474, -2, 2, -1, -5 in decreasing order.\nAnswer: 2, -1, -2, -5, -213474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 76*f + 769. Let c be l(12). What is the second biggest value in 107\/2, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 6*w**2 + 7\/4*w**4 + 0 + 8*w**3 + 7*w. Suppose m(n) = 0. Calculate n.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1545156, 1545137, 1545098, 1545033, 1544936, 1544801, 1544622?\n\"Answer: -k**3 - 4*k**2 + 1545161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 3}. What is prob of picking 2 o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 68*j - 52. Let x(h) = -2*h - 1. Let z(t) = -d(t) + 3*x(t). Is z(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - -60 - (2 + -8 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - t - 12 + 77, 3*t + 146 = 5*h. Suppose 0 = 4*p + 4*p - 8. Let c(n) = 11*n**2. What is the remainder when h is divided by c(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3028 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0974 + -1.9026. Which is smaller: -364 or x?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 - 5*p - 20. Let v(a) = a**3 + 22*a**2 + a + 15. Let w be v(-22). List the prime factors of b(w).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yss when three letters picked without replacement from pspjsjzyjlyps?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 2*h**3 + 0*h**3 + (285*h**2 - 136*h**2 + 426*h**2)*(-3*h - 3*h + 5*h).\nAnswer: -574*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:55 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 130762504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times 1.5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 3. Let t(y) = 9*y + 5. Let p(x) = 5*l(x) + 3*t(x). Let f(z) = -2*z. Give p(f(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q. Let t be i(0). Suppose t = 3*b - 146 - 16. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6 + 4 - y + 4. Let t be j(2). Factor -1\/4*q**2 + t + 0*q + 1\/4*q**3.\nAnswer: q**2*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/54 and 22\/903371.\nAnswer: 48782034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -3248975?\nAnswer: -2\/3248975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 18 - 20*u + 6.\nAnswer: -26*u + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126.64 + 126. Let q = b + 0.640042. Round q to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 9*k**5\/5 + 5*k**4 + 3*k**3\/5 - 29*k**2\/5 - 12*k\/5 + 4\/5 = 0.\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 5*f + 5. Let y be q(5). Let w = y - 0. Let a(j) = j**2 + 2*j + 3. Let n(r) = -2*r**2 - 3*r - 6. Let k(d) = -11*a(d) - 6*n(d). What is k(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1468.97085075 - -0.2.\nAnswer: 1469.17085075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 54815 = -22661. List the prime factors of k.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybaaybynyn. Give prob of picking 1 a and 1 y.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*s = -2, -7*s + 12 = -10*s. Suppose t*z + 169 - 859 = 0. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461370508 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jas when three letters picked without replacement from sqsjamb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t - 76 - 62*t + 21*t + 65 + 23*t.\nAnswer: -2*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k - 13624117 = 97*k - 76493547. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (2 - 2)) + (30 - 30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 10*j + 25. Determine y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. Let v = -7 - -12. Let o = v + k. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 377021?\nAnswer: -377016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -55*l. Let x(w) = 5*w + 4*w + 5*w - 12*w. Give h(x(m)).\nAnswer: -110*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 318808797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2 + (-4 + 1 + 1)*(0 + 0 - 2) - 7 - 5 + 1)*(-2*h**2 - 16*h + 16*h)*(-4 + h**2 + 4) to the form r*h + u*h**4 + i*h**3 + f*h**2 + z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2227, -8391, -18667, -33055, -51555, -74167?\n\"Answer: -2056*x**2 + 4*x - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q = 9*q - 7357 + 7984 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 5*m - 10*m)*(-1 + m**3 + 1) + 2*m**4 + 4*m**3 - 4*m**3.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -786 times 70.9\nAnswer: -55727.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/3 + -50 + 972842\/24310.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + 24. Let w(x) be the first derivative of o*x**2 - 5*x**2 + 2 - 4 + 5*x - 2*x. Differentiate w(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 26 - (-15 - -51 - 1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 1 - (-74 + 40 + 33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868 = 26*y - 7816. Let v(g) = -g + 71. Calculate the remainder when y is divided by v(-14).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 + 581*n - 9754. Calculate m(19).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 1\/6*t**3 + 0*t + 1\/24*t**4 + 0 + 247*t**2. Let m(b) = -7*b. Determine m(i(w)).\nAnswer: -7*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 11 = 35*t - 39*t, 9 = -3*t + s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 28 = -3*c, 0*k - 5*k = -2*c - 166. Suppose k = d - 0*d. Suppose 0 = -b - b + d. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 6, 24, 0.06 in descending order.\nAnswer: 24, 6, 0.06, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 7530 = 6*n. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-18)\/(-12)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/68 and (-5 - (8981\/(-1428) + -5)) + -6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111002 (base 3) to base 4\nAnswer: 11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 0.02. Let u = 0.09 + f. Let i be 1\/(-6)*(2 + -1). What is the closest to 0.4 in i, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, e: 1, b: 1, h: 2, t: 1}. What is prob of sequence hl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 5, -8\/7, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from cvcvvvc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -7 (c) 974499\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 84708.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20849*f**3 + 20970*f**3 + 28*f**2 - 2 - 41419*f**3 to the form y*f + z*f**3 + x + s*f**2 and give z.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 3. What is the units digit of t(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.603 + 1.6. What is z rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 24*f - 36. Suppose 28*j = 997 - 353. Calculate k(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/16*(-6)\/(-1)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*s + 18709 - 47005. Is 37 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/20 and -77\/22734836?\nAnswer: 113674180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*i + 17 = -0*f, -5*f + 45 = 5*i. Calculate the greatest common factor of 36 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + v - 4. What is the remainder when 9\/4*-2*-2 is divided by t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -21*c + 13*c. Calculate the remainder when 60\/14*c\/4 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/66*(-496)\/(-217). Suppose 8\/11*a**3 - 2\/11*a**4 - l*a + 8\/11 - 6\/11*a**2 = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, e: 1, r: 3, k: 3, w: 3, z: 2}. What is prob of picking 2 k and 1 e?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -14*u**3 + 12 + 169*u - 56 + 144*u**2 - 55*u = 0?\nAnswer: -1, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**3 + 16*b**3 - 2*b**3.\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 9342 = 88*b. Let z = b - -857. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-5 - 0) - -3989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510328 is divided by 508926?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92 - 93)*2*15\/4.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 35*n + 36*n - 6 + 1.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2116 and 2047.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 365, 364, 361, 356, 349, 340, 329?\n\"Answer: -b**2 + 2*b + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -843.97 - 0.023\nAnswer: -843.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 + 9*a**3\/4 - 3*a**2\/2 - 9*a - 6.\nAnswer: 3*(a - 2)*(a + 1)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 38*d**2 - 3*d - 22. Let l(v) = 225*v - 469. Let g be l(2). Determine i(g).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 0.4 (c) -4\/5 (d) 0 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*b*z - 23080984*a*b + 2*a + 3*b*z - 2900712*z wrt b.\nAnswer: -a*z - 23080984*a + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 717, 696, 655, 588, 489, 352?\n\"Answer: -y**3 - 4*y**2 - 2*y + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252188 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/23730 and 169\/33222.\nAnswer: 166110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjzjjiiz. Give prob of sequence ji.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*l - 103 = -2039 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by 27\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -0.5 (c) -0.057 (d) 3\/29 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2726\/(-205))\/(-2) + ((-7000)\/1148)\/125 - 9.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-9 - -13)) + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:06 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - 0.1. Let u be (-1)\/(-10)*(16 - 4). Let n = 3 - 7. Which is the nearest to 1? (a) n (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -t + 20. Let f = 16 - 11. Let p(q) = -q - t*q + 3 + f*q. Calculate p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1323873504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.08 (b) 0.5 (c) -4.4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 - 710*t**3 - 47714*t**2 - 808410*t - 1431612 = 0. Calculate t.\nAnswer: -273, -57, -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**4\/4 + 2*b**3\/3 - 3*b**2\/2 + 2*b + 3. Let p be y(-3). Suppose 0*s + 6 = p*s. Solve -w - 2 = -s*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 289691 or 869074\/3?\nAnswer: 869074\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:26 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4071a (base 15) in base 8?\nAnswer: -616504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*q = 15, 4*q + 1 - 6 = -o. Let z be 1 + -3 + o + 1. Suppose 4*l - 14 = 2*l + z*k, 4*k = -8. Solve 6 = -3*m - l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 0.3, 781\/10?\nAnswer: 781\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpzhw. What is prob of picking 1 h and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2 + 433*b + 4230 = 0.\nAnswer: -423, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/6 + -7 + 18. Let g(b) = -b**3 + 2*b**2 + 3*b + 2. What is g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4)\/(-4)*2\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 + 1104*k + 6*k**2 - 4*k**2 + 2*k**2 to the form c + q*k + o*k**2 and give q.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 3*j + 6. Let v be b(5). Let s = -1 - v. Let i = 6 + -1. Solve -s*u = -7*u - i*t + 16, 15 = u + 4*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 27 = -3*f + 3*i, -f + 13 = 2*i. Let x = 65 + -64.6. Which is the third biggest value? (a) x (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -6. Let b be 1\/z*21 - 2. Solve b*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n - 9. Let v be (-1)\/(1 - -1)*-12. Suppose x - 15 = -5*f, 3*f - v = f + x. Sort n, f, -2 in descending order.\nAnswer: f, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/40 and -75\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 16. Let p be b(-6). Let f be p\/(-6)*(-27)\/6. Solve -3*i + 15 = -f*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 13*f**2 + 15. Let n be z(13). Solve -3*s = -0 - n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/(t*t**0\/t*t))\/(t**(-2)\/t**(-2\/3))*(t**4\/t**(1\/4))\/(t**0)**(-4\/5) assuming t is positive.\nAnswer: t**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/15 - 2*z**2 + 1. Let u(x) = 5*x**2. Determine f(u(k)).\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 13*f**2 + 11*f - 12. Let g be u(-12). Suppose 3*b = -g*b. Suppose b = -5*q - 4*j + 485, q - 2*j = 63 + 20. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1470086 minutes in hours?\nAnswer: 0.01911681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 539 - -614. Is 92 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41871 divided by -821\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6470*p + 6481*p + 6482*p - 38855*p + 6474*p + 6475*p + 6478*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + 0)*-5 - sqrt(1100))*5 - (sqrt(275) + -2 - ((sqrt(66) + 1*sqrt(66))\/sqrt(6) - sqrt(11))))**2.\nAnswer: 984*sqrt(11) + 665680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, and 1 i when three letters picked without replacement from {i: 1, s: 2, b: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -97*c - 2376. Calculate m(-21).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 17b?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/104 and (-348)\/168 + 12\/(-42).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 3*v - 3*v + (2*v - 5*v + 2*v)*(-2 - 3 + 4) + 6*v - 4*v - v)*(-1885 + 2138 + 35*v + v**2 - 36*v) as h + b*v**2 + p*v + k*v**3 and give p.\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5)\/((-4)\/(-10)). Let h be s*3\/9*4. Suppose -3*o = -2*g - 273, 0 = 2*o + h*g - 0*g - 166. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpcc when four letters picked without replacement from ccccaccccadcdpcc.\nAnswer: 33\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -30 + (-2 - 3) + (-13 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:36 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/6 - v**5\/15 - 8*v**4\/15 - 8*v**3\/15 - 12*v**2. Let a(j) = 0. What is j?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.47 + -41.53. Let j = d + 43.8. What is the nearest to -1 in -60, j, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 919 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105578 + 153439. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16187 by 341.\nAnswer: 16187\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, p: 1}. What is prob of picking 3 x and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.137 * -5949.\nAnswer: -815.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 290 = -17*h. Suppose -5*i + 25 = 2*x, 0*x + h = 3*x + 2*i. Solve x*y = -5*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f - 5 = 0. What is the third derivative of 2*y**f + 7*y**2 + 19*y + y**5 - 19*y wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -692 + 762. Suppose 0 = 17*h - 21*h + 12, z = 4*p - 2*h. Solve 11 = -2*m + p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 equal to 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - m**2 + (-m + m - m)*(2 - 2*m - 2) + (-m + 3*m**2 - 8*m**2 + 2*m**2)*(7 - 7 + 10) as p + t*m**2 + u*m and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 1.31, 0, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1557\/2 or 780?\nAnswer: 780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0, -87138, 157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.15 (b) 2\/7 (c) 3\/49 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 3*g - 1. Let x be p(4). Suppose -6*s = -x*s - 45. Suppose -4*m + 48 = -2*o, 3 = -m - 4*o + 15. Solve 5*t = -5*y - s, 2*y = 5*t - t + m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9508 is divided by 9450.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 3*t - 7. Let d be n(5). Let c be 3 + (3 - 4) - 0\/4. Solve -c*v = -d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omzo when four letters picked without replacement from ooevznmvoenmovvmvev.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 10*y**2 + 3*y + 25. Let v be i(-10). Let u be (v + 3)\/(21\/(-3)). Factor 0 - u*k**2 - 2\/7*k.\nAnswer: -2*k*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6080165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -5, 5*s - 17 = 4*p. Let t(k) = 1 + p*k + 9*k - 17*k. What is t(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-42) - ((-14)\/35 - 3201\/35). Suppose 5*q - 3 = -f - f, q + 47 = 3*f. Suppose f*c - p = 10*c. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 14. Let j be c(9). Let w be 5 + -2 + -1 + 8. Let x = w - 6. Solve 0 = 3*o - x - j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2084 is divided by 1032?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 28?\nAnswer: -28.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 26*n**2 - 3*n. Let q(j) = -9*j**2 + j. Let z(b) = 17*q(b) + 6*v(b). Suppose 7 = -5*s - 3. What is z(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**6*t + 160*j**4*t**2 - j**2 - 158*j*t**2 - 3*j*t + j wrt j.\nAnswer: -1320*j**3*t + 3840*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 6*h - 32. Let d be y(-10). Suppose -5*a - 3*a + d = 0. Solve a = -k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 16 = 0, 4*r - k - 6 = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2, 303, -2.4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 3*r**2 - 26*r + 8. Let n be h(7). What is the highest common factor of 253 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.111 + -3.889. Let x = -1 + 5. Which is the fourth biggest value? (a) i (b) 0.3 (c) -1\/4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -5380 at least as big as -5380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j + 34. Let d be i(8). Let u be (-1984)\/(-22) - (d\/(-77) + 0). Suppose -4*t = -250 - u. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 - 239 - 8*o - 354 + 847.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 57. Let v be t(20). Which is the nearest to 1? (a) 0 (b) 2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*s**2 - 219*s**2 - 152*s**2 + (0 + 0 + 2*s)*(-1 + s + 1) - 5*s - 6*s + 10*s - s**2 - 10 as y*s + t*s**2 + n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 times -21.065?\nAnswer: -3391.465","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/7 - 33584*f**2\/7 - 3957182*f\/7 + 1149812 = 0. Calculate f.\nAnswer: -119, 2, 16909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0 + 1 = -m, 3*m - d + 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-7)*u))**(-1\/38) assuming u is positive.\nAnswer: u**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + g = -0*g + 56, n - 2*g = 38. Suppose n*u - 64 + 604 = 0. What is the nearest to 3 in -1\/6, u, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*y = -6, 2*f + f - 13 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1121 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k + k + 15 - 3*k - 11. Let x be r(-2). Suppose -75 = -x*c - 5*c. Calculate the greatest common divisor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -142*t**2 + 2*t - 1. Let g = 0 + 1. Let m be b(g). Let c = m + 984\/7. Put c, 1\/4, -1 in descending order.\nAnswer: 1\/4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 78\/9 + (-15)\/9. Let p(m) = 3*m**2 + 3*m + 4. Let c(g) = -5*g**2 - 7*g - 7. Let k(o) = b*p(o) + 4*c(o). Determine k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56027.4939 minutes in weeks?\nAnswer: 5.558283125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210301323 (base 4) to base 12.\nAnswer: 73223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.03 or 2\/55?\nAnswer: 2.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1108 or 4?\nAnswer: 1108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -c + 48. Calculate the greatest common factor of c and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -176 (c) -3 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8))**(-7\/2)\/(t**(-11))**(16\/7) assuming t is positive.\nAnswer: t**(372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044925 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -302?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/((-42)\/30) - (-134)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3483 and -7?\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2. Let h = 631 + -629. Let b(d) be the first derivative of -4 + 0*d + 3\/2*d**h. What is a(b(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -779567, -779555, -779541, -779525, -779507, -779487, -779465?\n\"Answer: y**2 + 9*y - 779577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1422*p**2 - 1425*p**2 + 2 - 2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51448 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79468653?\nAnswer: 3, 11, 2408141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845079?\nAnswer: 3, 43, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34123?\nAnswer: 34123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 79*c**2 + 371*c + 1. Let t be w(-5). What is the biggest value in 0.603, -5, t?\nAnswer: 0.603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -15, -3, 35, 111, 237, 425?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3044 = 4*t, 3*t + t + p + 3064 = 0. Which is greater: -766 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1001001?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -35. Solve -2*f + r = 5, -f + 4*r - w*r = -2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3633)\/(-252) + -15)*278\/(-28) and 35\/13173.\nAnswer: 105384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 276.\nAnswer: 11\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57628 by -4.\nAnswer: -14407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2119*n = 303734 - 108786 for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**31\/(((g**(-1)\/g)\/g)\/(g*g**(-5\/2))))\/(((g\/((g\/g**(2\/7))\/g)*g*g)\/g*g)**(-2\/21))**(4\/3) assuming g is positive.\nAnswer: g**(7681\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + sqrt(700) + (sqrt(700) - (sqrt(700) - (1 + sqrt(700))**2)) + 1 + 3 + (sqrt(175) + 3 - (3*sqrt(14))\/sqrt(2)).\nAnswer: 42*sqrt(7) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8340*s + 8339*s + 0*x = x + 21, -5*s = -2*x - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 10*y + 5. Let q(j) = 13*j + 11. Let c(a) = -7*a - 6. Let o(d) = 7*c(d) + 4*q(d). Calculate o(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29040 and 4032?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keyko. What is prob of sequence yo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 2b9832?\nAnswer: 2b9830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/9)*j)\/j)\/j)**(-14))**(-49)*(j**(-2)\/j)**(-28)*(j**(-1\/2)\/j)**(-2\/5) assuming j is positive.\nAnswer: j**(-20203\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -51*v + 2. Let p(r) = r**3 - 7*r**2 - 8*r - 1. Let m be p(8). List the prime factors of t(m).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 0\/(1 + 0) - (-9438)\/66. Is u at least as big as 159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 + -2.588. Let x = 0.133 - w. Let o = x - -23.579. What is o rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -30*k + 36*k - 28*k + 576 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209679893.\nAnswer: 4831, 43403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17815445 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24130578*c**2*r**3 - 2*c*r**3 - c*r - 5*c - 1369*r**3 - 3*r wrt c?\nAnswer: -48261156*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7178994 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554500217?\nAnswer: 1277, 434221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33681470*d + 56005396.\nAnswer: 33681470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 1, c: 2, n: 8, k: 3, e: 2}. What is prob of sequence wkkn?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.3. What is the second biggest value in 5, 0.5, x, -25?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-2\/3))\/((g\/g**(-24\/11))\/g))\/(g**(-10)\/g**(2\/27)))**(-1\/31) assuming g is positive.\nAnswer: g**(-2839\/9207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/35 in -2\/5, 0.5, 1, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 71019*w + 3. Let z(r) = 7*r. Give j(z(x)).\nAnswer: 497133*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 404681 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121330.\nAnswer: 2, 5, 11, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -117?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 786 + 121. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2172 divided by -6.\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*m + 24, 31*r - 36 = 29*r - 5*m. Factor -55*n**2 - r - 63*n - 77*n**2 - 36*n**4 + 123*n + 116*n**3.\nAnswer: -4*(n - 1)**3*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99389094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3011 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 25*p - 14. Suppose 0 = -7*s - s - 64. Let k = s + -5. What is the units digit of d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12726.0009953 - 12726. Round s to five decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3089169866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 + 0 = 2*v, -6 = -2*c + 5*v. Let k be 111 + 4*(1 + c). Let h = k - 49. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 - 2*z**3 + z**3 - 59.\nAnswer: -z**3 - 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkxkkbllklblx. What is prob of picking 1 b, 2 x, and 1 k?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5 + 8*c**4 + 15*c**3 - 8*c**2 - 16*c = 0. Calculate c.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 9*t + 13. Let b(w) = -w**3 - 8*w**2 - 7*w + 8. Let c be (1\/(-3) + -2)*3. Let y be b(c). Let x be p(y). Solve -x*h = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + -269120621405?\nAnswer: -269120621456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1*n)**(-2\/63)*(n*n\/n**1)**(-6) assuming n is positive.\nAnswer: n**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -251792 (base 16) to base 5\nAnswer: -1110241431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = l, 7*x - 3*x + 14 = -l. Let z(g) = 4*g**3 - 3*g**2 - 5*g + 4. What is the remainder when 246 is divided by z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 18*i + 112. Let x(o) = 9*o**2 - 36*o - 240. Let a(p) = -5*x(p) - 11*z(p). Let u be (2 - 2\/1) + -6. Is a(u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10 + 3*p - 13 + 2. Let h be b(11). What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1562, -1874, -2186?\nAnswer: -2498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9828 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.96 + -0.06. Which is the second biggest value? (a) t (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5436499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**2*s**3*x + g**2*s**2*x + 5*g**2*s*x - 2*g**2*s - 23*g*s*x + 17*s**4*x wrt s?\nAnswer: -42*g**2*x + 408*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -875094114.3 to the nearest 1000000.\nAnswer: -875000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -28*u + 0*u**2 + 0*u**3 + 5\/6*u**4 + 0. Let x(s) = -4*s + 4*s + 3*s**2. What is z(x(b))?\nAnswer: 90*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 - -217. Let k = 70376.5888 - 70862.588267. Let h = j + k. Round h to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -22 + 7 - (-4 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 2. Let u be g(4). Let d be ((-8)\/10)\/((-4)\/20). Let q = 7 + -4. Solve -m + 5*l + 13 = 0, 0 = q*m + u*l - d*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.2. Suppose 26 = -4*k + 14. Which is the biggest value? (a) 0.3 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vuiuv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 13*w**2 - 15*w + 6. Let s be d(-14). Let h be s\/110 - (-40)\/22. Suppose -n = h - 5. Calculate the remainder when 10 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35443 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-162032)\/39)\/41*6\/(-4) and 3458.\nAnswer: 13832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/17, -12 in descending order.\nAnswer: 0, -2\/17, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f. Let k(q) be the third derivative of -1\/60*q**5 - 1\/60*q**6 + q**2 + 0*q + 0 + f*q**3 + 1\/24*q**4. Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140009456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-c - 63*c - 14*c) to f*c + h and give f.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of (-300)\/(-200) + (-13830)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869, -1743, -2617?\nAnswer: -3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380 or 61304?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -49, -56, -65?\n\"Answer: -x**2 - 2*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154 - -3?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2031594 and 6.\nAnswer: 2031594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 25. Let w be y(-15). Let l be (126\/70)\/(3\/(-5)). Which is the third smallest value? (a) w (b) l (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81545 and 163090?\nAnswer: 163090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84)\/(-30))\/((-1)\/(-5)). Let v = s - 6. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20830 at most as big as 20832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1148)\/60 + 19 - (-2)\/30?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let h(f) = -f**2 - f + 1. Let w(y) = h(y) + o(y). Let b(j) = -4*j**2 + 5*j**2 - 20*j**2. Give w(b(z)).\nAnswer: -361*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t - 110 + 165 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, m: 1, u: 3, k: 4, b: 1}. Give prob of sequence kbup.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -102110002?\nAnswer: -102110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9582, -2\/9, -1.579, -10 in decreasing order.\nAnswer: 1.9582, -2\/9, -1.579, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let j(o) = o + 5. Let z be j(-4). Let y(i) = -5*i**2 - 11*i**2 + z + 21*i**2. Give p(y(h)).\nAnswer: -10*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v. Let d(g) = -46*g. Let l(q) = -1265*q. Let w(b) = 138*d(b) - 5*l(b). Let t(u) = u**2 - 16*u + 11. Let h be t(14). Determine h*y(m) - 6*w(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 2*b**2 - 7*b - 3. Calculate q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/23 and -6 + 301\/(-35) - -5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275148, -550327, -825538, -1100781, -1376056?\nAnswer: -1651363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0*d*d**7*(d*d**(-1\/6)\/d)**(-2\/61) assuming d is positive.\nAnswer: d**(1465\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.0167, -4 in decreasing order.\nAnswer: 2\/11, 0.0167, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 779 + -568. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-75)\/(-55)) - 40\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -288 + 235 + -3 + 17?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 100. Let u be i(17). What is the tens digit of 5\/(10\/u) + -3 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n + 4*w, 0 = -4*w - 4. Suppose 4*l - 20 = -n. Solve 3*p + p = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 622 - 96. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*570\/(-75)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 21 = -189. Solve -4*p - 6 = l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1. Let w(r) = r**3 + r + 1. Suppose -6*y + 32 = -2*y. Let t = -7 + y. What is t*w(m) + u(m)?\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 2*a**4 + 10 + 12*a**2 + 5 - 13 + 4*a to y*a**4 + v*a + r + s*a**2 + h*a**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 1, s: 2, o: 1, u: 1, p: 1}. Give prob of picking 1 z and 2 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 25. Let d = -14 - z. Let t = d - -11. Which is the second biggest value? (a) 1 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 44 = 25*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 6*v**2 - 19*v - 11. What is s(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 8, -0.127937, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b + 591*b**2 - 5 - 1 - 592*b**2. Let u be z(-2). Let m be (18\/(-15))\/(6\/(-20)). Calculate the highest common factor of u and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12503 * 1.\nAnswer: -12503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-104)\/(-13) + (-4440 + 1)*-1 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/(-15))\/((-4)\/10). What is the units digit of (-102)\/18*c\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4051 + 8481. Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 0, -20, -1 in increasing order.\nAnswer: -20, -8, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28*p**2. Let m(v) = -116*v**2. Determine m(t(a)).\nAnswer: -90944*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.118224 millilitres?\nAnswer: 0.008118224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 + 7*p - 31. Let s(u) = 2*u**2 + 2*u - 8. Determine 6*g(x) - 22*s(x).\nAnswer: -2*x**2 - 2*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 136 = 5*p + y, 8 = -2*y. Let g = p + 44. Solve 4*v = 3*a - 28, -3*v - 3*a = -5*a + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 828*l**2. Let g(u) = 2*u. Give g(i(p)).\nAnswer: 1656*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 395c (base 13) in base 5?\nAnswer: 230224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 2 - 1 - 0. Suppose 2*d = 3*d - b. Suppose -3*z + 10 = -z. Solve -4*k = -3*s - d, -s + z*k = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 657 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6156204757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3 - (16\/72 - 303\/27).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125275 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2 + (56256\/4)\/(-12). What is the common denominator of ((-98)\/(-4) - -1) + 0 and 177*(-1 - 3 - t\/288)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50236447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f**3 - 2*f**2 + 2*f + 12*f**3 - 2*f.\nAnswer: -26*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6*q + 31. Suppose 5*t - 2 + 3 = -4*u, u - q = 5*t. Calculate the common denominator of 87\/28 and -1 - (1084\/(-96) - u\/(-9)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**8\/2688 + g**7\/1680 + g**6\/320 - g**5\/96 + g**4\/96 + 136*g**2. What is w in f(w) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159851429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297.14 + -303.4. Round u to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213941 - 2*u**3 + u**3 - 213941.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 38.4. Let b = 0.044 + -1.044. Put -3, b, 1\/3, f in descending order.\nAnswer: f, 1\/3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011431486.\nAnswer: 2, 13, 23, 457, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7093\/124 - 1750\/31. Which is the second biggest value? (a) 1 (b) w (c) 26\/3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141099, -141656, -142601, -143940, -145679?\nAnswer: -147824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 8 = -9*x + 4*t, -5*t - 15 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15317 is divided by 858.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose -w + 2720 = -p*w. Round w to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 - -63. Let q = -114.6 - -75.9. Let v = h - q. Round v to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + ((-1 + sqrt(192)*1)*5 - (4 + 1 + sqrt(192) + 3)**2).\nAnswer: -254 - 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**3 - 10*v**2 + v + 3. Let m(s) = s**2 - s**3 - 2*s**3 - s + 2*s**3. Let i(h) = c(h) + 6*m(h). What is i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 0.01452?\nAnswer: -0.000726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730305215?\nAnswer: 5, 137, 1066139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a**(5\/2))\/((a**(1\/4)\/a*a)\/a)**37 assuming a is positive.\nAnswer: a**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11962599, -11962603, -11962605, -11962605, -11962603, -11962599, -11962593?\n\"Answer: b**2 - 7*b - 11962593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 7) + (-2 - 0) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -435696*v**2 + 81859?\nAnswer: -871392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142232\/3198195 - -2\/71071. Sort -4, 5, u, -2 in ascending order.\nAnswer: -4, -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:02 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1339224873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 460600 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 4.9, 0.1, -36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 6594.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46809 + 46812. Solve -4*f + 25*o - 41 = 30*o, 3*f - 3 = v*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-8116624)\/(-2029168) - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 times -0.1?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 6. Let o be l(-3). Suppose 2*c - 60 = c. Calculate the highest common divisor of o and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((33\/8)\/(87\/(-116))).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -153, -288, -465, -678?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 4, -34, 327, 7, 3 in descending order.\nAnswer: 327, 7, 4, 3, 1, -9, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3548\/7 + -506. Put z, -2\/9, 0, -3 in ascending order.\nAnswer: -3, -2\/9, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 40. Let q(h) = -5*h**s + 355 - 355. Let z(c) = -9*c + 6. Let t(i) = -i + 1. Let v(m) = 6*t(m) - z(m). Determine q(v(k)).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 + 2*n**3 - n**2 + n - 367. Determine c(7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.6 (b) 3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -3440 + 3264. Let j(u) = 5*u - 3. Let c(r) = 14*r - 10. What is d*j(m) + 5*c(m)?\nAnswer: -10*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 + 6*c - 4. Give j(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:34 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*g - 76 = 113 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45545213 - -1?\nAnswer: -45545212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-36 - -25) + 15 + -2 + -38 + -10.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + -3 + (sqrt(7) - (sqrt(56)\/sqrt(8) + sqrt(7) + 3)) + (-3 + sqrt(7) + 0 - (sqrt(7) - sqrt(14)\/sqrt(2)*-4)))**2.\nAnswer: 72*sqrt(7) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -40*l. What is i(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**2 + 5 + 12*v**2 + 4*v - 22*v**2 + 3*v**3 + 4 + 14*v**2. Let y(z) = -z**3 + 2*z**2 - 2*z - 4. Give 4*w(b) + 9*y(b).\nAnswer: 3*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-49 - (-111 + 9)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 7*l = 108. Let x(c) be the second derivative of -3\/40*c**5 - 1\/8*c**l + 3\/8*c**2 + 7*c + 1\/8*c**3 + 1\/56*c**7 + 1\/40*c**6 + 0. Factor x(t).\nAnswer: 3*(t - 1)**2*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36668268 divided by 14196\nAnswer: 2583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102353 - 102323. Suppose 3*t - 238 + 4 = 0. Calculate the highest common divisor of t and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/6 + 781*p**2\/2 + 39260*p + 3027128\/3 = 0. Calculate p.\nAnswer: -2239, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4253.\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7032, -7003, -6962, -6909, -6844?\nAnswer: -6767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -33*u - 16. What is the second derivative of 0 + t**2 + 21*t + u*t**2 + 0 wrt t?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7521506.84 rounded to the nearest 10000?\nAnswer: 7520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390894 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 4:39 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 7. Let n(k) = -2*k**2 + 3*k - 1. Let b(t) = t**2 - 2*t. Let x(u) = 3*b(u) + 2*n(u). Let d = 42 + -40. What is d*o(y) + 7*x(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -535 (b) 1\/5 (c) -8\/1055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 448.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16171999 and 83\/18?\nAnswer: 291095982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (0 - 1). Let u be g\/(-5) - 12\/70. Let s be 3\/2*1 + -1. Put 0.1, s, u in decreasing order.\nAnswer: s, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1881666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2598*h**2. Let w(b) = -6*b. What is w(y(s))?\nAnswer: 15588*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2 - 1) + 1. Suppose 2 = 3*z - z + 3*u, 0 = 2*z + 4*u - 2. Is t > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849685445 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4 - 1200*p**3 + 475991*p**2 - 62440404*p + 61965612 = 0. Calculate p.\nAnswer: 1, 323, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - j + 0 + 3*j - 2*j + 0*j + (1 - 1 + j)*(2 - 3 + 2) + (1 - 3*j + j - 3*j)*(0 + 6 + 5) + 2*j - 5*j + 6*j to q*j + u and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798658 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 8*k**2 + 4*k - 70. Calculate j(9).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 58. What is the remainder when 77 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-3)\/84)\/(18\/14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2\/13, -136, -1, 0 in descending order.\nAnswer: 0, -2\/13, -1\/5, -1, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + x - 20. Suppose -h + o = -o + 10, -4*o + 20 = 4*h. What is b(h)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xyxbvvbbxbge.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908621 is divided by 429.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1280\/17, 0.04, -0.3 in increasing order.\nAnswer: -0.3, -2\/11, 0.04, 1280\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*o + 3*d + 8, 20 = -2*o - 5*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:12 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333273 to the power of 1\/2, to the nearest integer?\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -522 - -537. Let n be (-4)\/1292 - 0\/f. Are n and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 4*y. Let v be i(5). Suppose v*w = -2 + 52. Let o = -4 + w. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3317.315 millennia?\nAnswer: 331731.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 4. Let k be q(-6). Suppose 3*o + 12 = -o, -k*o + 18 = g. Calculate the highest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, s: 5}. What is prob of sequence snnn?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w + 72. Let u be o(-7). Suppose u*h + 60 = 7*h. Solve n + 4*g = h + 5, -10 = n - 5*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 - 36\/90. What is s in a*s - 20*s + 8 + 3*s**2 - 13 + 2*s**2 + 20*s**3 = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5 + -3. Let u = -0.97 + -0.03. Let l = -1 - u. Put g, -2, l in ascending order.\nAnswer: -2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 1. Let g(m) = 8*m - 5. What is -9*b(n) - 2*g(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090 + 365 + 6*i + 362 + 3*i**3 + 363.\nAnswer: 3*i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 1, d: 1, z: 2, t: 2}. Give prob of picking 1 i and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 13. Let h = 11 + o. Let t = 17 + -16.9. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/20754 and 139\/54.\nAnswer: 62262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127*y**3 - 1983*y + 1983*y)*((2 + 2 - 3)*(2 - 1 + 1) - 6 + 3 + 2 + 2 - 2 + 1 - 2 + 2 - 2 + 0 + 0 - 1) to q*y**2 + g*y + f + d*y**3 and give d.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8931 + -1?\nAnswer: 8930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 a factor of 47954724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 10 - (-5 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2380 + 2380 - 90*n - 820*n to g + s*n and give s.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (446\/8028)\/(5\/2070).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23226777.2 - -0.0707?\nAnswer: -23226777.1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 47388\/13, -17\/3, 4 in descending order.\nAnswer: 47388\/13, 4, 3\/2, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2700464?\nAnswer: 2, 13, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 3*i - 3 + 3*i + 10 to the form o*i + s + r*i**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -4*t, 4 = -u - 2*t + 11. What is the nearest to 1 in -1\/7, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 528, 572, 620, 672, 728?\n\"Answer: 2*o**2 + 38*o + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8040 divided by 6.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 - 42980*f = 0. What is f?\nAnswer: -8596, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = o - 5, -3*n - 2*n = 5*o - 125. Let f = 20 - o. Which is the nearest to -1\/5? (a) -0.1 (b) 2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -128 (b) -3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eix when three letters picked without replacement from {x: 3, e: 3, w: 4, i: 1, j: 2, p: 4}.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let o(r) = -r + 8. Let k be o(6). Let l(s) = -2 + k*s + 2 - s. What is l(x(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -52167?\nAnswer: -52164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5374?\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1682, -3370, -5066, -6770?\n\"Answer: -4*k**2 - 1676*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 1. Determine l(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 62) + 28 + -52?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(-516) - (-26)\/(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*d**4 + 12 + 4*d**2 - 2*d**3 - d**2 - 2*d**2 + 18*d**4 - 2*d**2 to the form z*d**2 + k*d**4 + v*d + c*d**3 + r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -875\/4 + 4371\/20. Is b < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a11b6 (base 15) in base 2?\nAnswer: -100110101111010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 272222 + 238778. Round m to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*r + 396 - 404, -3*z + 26 = 4*r. Let m(g) = -8*g + 5. Give m(z).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272584 rounded to 3 decimal places?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 11) in base 15?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 = 2*o + 89, 0 = 5*x + 5*o - 480. Solve -x*c**2 + 192*c**4 - 390*c**4 - 48*c + 174*c**4 - 72*c**3 - 3*c**5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3939756 - 1001*l**2 - 3939756.\nAnswer: -1001*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 67*a - 70*a = -1, 4*n - 20 = -4*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.305, 2\/23, 0.4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30304 + -30133. What is the remainder when 291 is divided by h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*x**2\/7 + 110351788*x\/7 + 9595808\/7.\nAnswer: -2*(x - 2398952)*(23*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 470 and 8.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14\/(z*z**(-6)))\/(((z\/(z**0*z*z))\/z)\/z*z*z*z*z**(-1\/14)*z) assuming z is positive.\nAnswer: z**(253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 11*b**3\/6 - b**2 - 55*b. Let k(t) = 5*t**2. Give k(x(v)).\nAnswer: 605*v**2 - 220*v + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70425264*t**6 - 100*t**2 + 86203.\nAnswer: 8451031680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 2:45 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 - -1.3. Let b = -27.19 - 202.01. Let c = b + 229. Put -5, c, i, 0.2 in increasing order.\nAnswer: i, -5, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g**2 + g + 1. Let f(d) = 4*d**2. Let a(m) = 8*f(m) - 3*z(m). Give a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/616*-1*4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11581 and 59783.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z**2 + 3*z)*(6753 - 1374 - 1493 - 8*z - 1706 - 1670).\nAnswer: -16*z**3 + 1020*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709 - 546 + 279 = -88*c + 520 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 23. Is v - (1 + 2)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2494 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 25*x**3\/3 + 517. Let c(t) = -6*t**2 + 3*t. Determine g(c(r)).\nAnswer: 900*r**4 - 900*r**3 + 225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2882049, 5764068, 8646087, 11528106, 14410125?\n\"Answer: 2882019*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2570?\nAnswer: -256b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10096332*q**4 + q**3 - 272201978*q wrt q.\nAnswer: -121155984*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - m)*(2*m + 3*m + m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*h*s**6 - 2*h*s**2 + 2*h - 35*s**6 + 55 wrt s?\nAnswer: 8880*h*s**3 - 4200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(11)*-3*5*5)**2.\nAnswer: 1485000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9749*55\/44*4*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*v**6 + 18*v**4 - 341*v**2 - v - 2?\nAnswer: -5520*v**3 + 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4751022132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + ((-3)\/16)\/(-1) and ((-1)\/(-3))\/(482\/474 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let f = -1\/4 - 0. What is the nearest to f in a, -0.2, -5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89888633*y + 31957853.\nAnswer: -89888633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-5) + 12)*124\/8. Let a = v - 107. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 2 f when four letters picked without replacement from gsfwswftggwwwffgww.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81, 307, 683, 1197, 1837, 2591?\n\"Answer: -2*w**3 + 87*w**2 - 21*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5247 + -105.5247. What is the second biggest value in -1, m, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 5}. Give prob of picking 3 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50321 - 50324. Let o be 2 - 2\/2 - 1. Let a = -3 + 3.2. What is the second biggest value in z, o, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3 - 3)*(4 + 4 - 6)*(2*v**2 + 2*v**2 - 5*v**2).\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1646163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1309 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -103, -223, -391, -607, -871, -1183?\n\"Answer: -24*k**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2356 - 10 = 182*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 1\/9, 0.1, -4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 102*j**3 + 975*j**2 + 2648*j + 1776.\nAnswer: -(j - 111)*(j + 1)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 2, h: 2, k: 7, t: 2, f: 1}. What is prob of sequence pf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2765*d**2*z**3 + 2*d**2 + 3*d*z**3 - 5*d*z**2 + 2*d + 14*z**2 wrt d.\nAnswer: -5530*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**2*d))**44*(d*d\/(d\/d**5*d))**(-2\/57) assuming d is positive.\nAnswer: d**(-5026\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 32*d**2 - 2*d - 7. Let h be (80\/25)\/(1\/(-5)). Is y(h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 46589?\nAnswer: -46584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -261*y**4 + 3367 - 6945 + 3454 wrt y?\nAnswer: -1044*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42715 - 64*a**3 - 83*a**3 - 42715.\nAnswer: -147*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-92\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*k + 2*k + 6 = 0, -5*f = k - 17. Let d = -16 - -32. What is the remainder when ((-4)\/(-3))\/(f\/138) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 583 and 7708800.\nAnswer: 408566400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 52. Let d be (-24 + 2)\/((-4)\/m). Let r = 263 + d. 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 x = -28954\/11 + 2632. Let f = 1 + -1.1. What is the closest to f in -2, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-8 - (7 + (-11 - -2)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 + 1 - 1) - (9 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-1)*v*v*v*v\/(((v**(2\/3)\/v*v)\/v)\/v)*(v\/(v*v**(-4)))\/v**4*((v\/(v*((v**(-5)\/v)\/v)\/v*v))\/(v\/(v**(-1\/2)\/v)))**7 assuming v is positive.\nAnswer: v**(233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 120 = 0. Let d be ((-18)\/6)\/((-6)\/g). Let v = -13 + d. Calculate the highest common factor of 28 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*c - 405 = -240*c. Suppose 9*g + 36 = c. Solve 7*m + 33 - g = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-230) - (-180)\/(-79200)*-88.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 869, 836, 771, 668, 521, 324, 71, -244?\n\"Answer: -f**3 - 10*f**2 + 4*f + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 94749816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -542b (base 14) to base 10\nAnswer: -14543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 3*g + 3*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((6 - 3) + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:29 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Let g = -363399\/545930 + 10\/4963. Calculate the common denominator of g and 109\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/27746832 and 63\/820.\nAnswer: 138734160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36405515 (base 7) in base 13?\nAnswer: 898460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + 4*n**2 - 4*n**2 + n**5 + 2*n**5 - 2*n**5 + (-n**2 + 6*n**2 - 4*n**2)*(2*n**3 - n**3 - 3*n**3) - 577*n**5 + 183*n**4 - 2 + 388*n**5 - 178*n**4.\nAnswer: -188*n**5 + 5*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-693)\/(-14))*9\/2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -2\/23, 3, -3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - (24 - 20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h - 13. What is the units digit of m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-35) + 5561\/(-5). Let c = q + 8927\/8. Find the common denominator of c and 25\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181781 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48511 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -229, -339?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(4) + sqrt(21))*-1)\/(sqrt(448)*5).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 15, -6*c = -2*j - 11*c + 57. Find the first derivative of j*t - 4*t - t**2 - 50 - 38 + 10*t wrt t.\nAnswer: -2*t + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -83*z + 92*z + 18, -20*g + 17*g + 3*z + 27 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 + 2*p**2)*(0 + 0 - 3*p) - 4*p**3 - 12*p + 12*p + 2*p**3 - 7*p**3 + 2*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4673918*-8\nAnswer: 37391344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {r: 14, h: 1, w: 1, q: 3, d: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79672 and 18998?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19342*x - 19361*x + 320112 = 0. Is 52 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000122274 rounded to seven decimal places?\nAnswer: 0.0001223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14272 * -0.022.\nAnswer: -313.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 6)*(-2*z**4 - 4*z**4 + 7*z**4)*(185*z + 1943*z - 875*z).\nAnswer: -8771*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36299, 48671, 61043, 73415, 85787?\nAnswer: 98159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 7) to base 13.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -3*n**4\/4 + n**3\/3 - n**2 - 3657*n + 1. Determine c(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -14 + -4 + 3 - 15.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -960*d**2 + 1920*d - 1536 - 30*d**4 + 240*d**3 + 3\/2*d**5 = 0. Calculate d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64997533 - -452\nAnswer: -64997081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 819 = -1515 + 40 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 156484120.7 and 10402.\nAnswer: 156494522.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/16 of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/7, 10032, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106602 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 120*s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447 divided by 3.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 215\/2*y - 25\/4*y**2 - 85\/4.\nAnswer: -5*(y - 17)*(5*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/x*x**3*x*(x**(-5))**41 assuming x is positive.\nAnswer: x**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, h: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485042 + 91*w - 485042.\nAnswer: 91*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/25 (b) 8 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1221\/6*130\/715.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.92 + -5. Let g = -0.07999946 - l. Round g to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2155116*y - 11 + 11 + 1077560*y + 1077557*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(128) + 2 + -2*sqrt(128) - sqrt(128)) + -3*(3 + sqrt(128)))**2.\nAnswer: 400*sqrt(2) + 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 125.3. Let z = 7.7 + -53.7. Let t = z + o. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7469469 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3, -484 = 4*l - 6*v + 2*v. Calculate the common denominator of 46\/33 and (2 + l\/6)\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-109 + 78 + 463 + (5 - 3 - 1)*(-3 + 2 + 0))*(4*b - 4*b - 3*b + (3 - 1 + 0)*(2*b + b - 2*b) - 12*b + 6*b - b) in the form d + z*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/60 + 5*a**4\/24 - 3*a**3\/2 - 2*a**2. List the prime factors of l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/62149 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1019645438?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3945884*f**3*y + 4*f*y - 181037*y wrt f.\nAnswer: 23675304*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8\/9*q - 2\/9*q**2.\nAnswer: -2*q*(q + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/2 (b) 2 (c) -5 (d) 6254\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 21*d - 17*d. Let r be (-1)\/2 - 2\/(-4). Suppose r = -2*h - a + d, h + 5*a = -6 - 0. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:16 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -619037.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1786 + -1762. Let s(q) = -11*q + 1. Let b be 10\/(-6) - (-2)\/3. Let v be s(b). What is the highest common factor of v and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 8*r**2 + 3*r - 4. What are the prime factors of t(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 18*p = 1512. Suppose 6*g - p = 2*g. Suppose 0 = -4*k + 46 + g. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0272 or -9348?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 169 = 18. Solve 3*f + 22 = -5*m, -l*m + 18*m = -f - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, -3\/220, -5\/12?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 1216.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3821 + 1179 = -4*h, -898 = -b + 3*h. Let i(z) = b*z - 443*z - 444*z. Let j(v) = -52*v**2. What is j(i(y))?\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -250, -355, -452, -541, -622?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + 1. Let k = 3 - 0. Suppose 48 = k*r - 0*r. What is the least common multiple of h and r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91167067.\nAnswer: 41, 2223587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*f*j**3 + 32*f*j**2 + f*j - 7053*j**3 wrt f?\nAnswer: -37*j**3 + 32*j**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 764055 or 0.222?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 229640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*m**2 + 7*m**2 - 4*m**2 - 35*m**6 wrt m.\nAnswer: -4200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**2 + 0 + 14*d + 5\/6*d**4 + 0*d**3. Find the first derivative of k(u) wrt u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p. Suppose -929 = -171*d - 74. Solve p*g = d*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**3 + 3*f**2 - 3*f + 5. Let y = -585 - -588. Let g(j) = 23*j**3 - 7*j**2 + 7*j - 11. Give y*g(u) + 7*v(u).\nAnswer: -8*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**4\/4 - 471*c**3\/2 - 64983*c**2\/4 + 351837*c - 1674027 = 0.\nAnswer: -166, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2134 by -18.\nAnswer: -1067\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33932744 divided by -5\nAnswer: 33932744\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693790*t - 849*t**2 + 693798*t - 1387588*t.\nAnswer: -849*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 10. Let o be g(-8). Let z = -49 + o. Is -18 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.9470001 - 11.94. Let s = 0.007 - h. Round s to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1809*g**2 + 2 - 1027*g**2 - 1147*g**2 - g**2 - 2*g**2 + 2*g**2 - 4*g**2 + g**2 + 2*g**2 - 2*g**2 + g**2 + 0*g**2 + (-4 + 4 - 2*g)*(-4*g + 6*g - g).\nAnswer: -370*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1556746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*f + 13 = 0, -3*f = -h + 2*f + 17. Let n = 70 - 67. Let g(t) = t**2 + 4*t - n + t**h - t. Determine g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00906 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 41, 0, 4, -97 in descending order.\nAnswer: 128, 41, 4, 0, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16478?\nAnswer: 2, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28 + -0.72. Which is the nearest to m? (a) 3\/7 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1365350695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6689 = -3*a, 2227 = a + 3*o - 2*o. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 24 = -2*z - 3*z, -18 = -2*z + 5*m. What is the first derivative of 7*j**4 + 7 - 4 - 8*j**z + 8*j**4 wrt j?\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 196, 272, 332, 376, 404, 416?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d - 1. Give i(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-6612)\/(-1392))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00619031 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55, 97, 141, 187, 235, 285?\n\"Answer: n**2 + 39*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -725 bigger than -44231\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9461313 and 2502.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16080 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/((-1)\/(-3)). Suppose -5 = -t + m*q - 1, -2*t = -q - 1. Suppose 0 = 13*n - 29 - 23. Solve t = -5*g + n*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 greater than 245\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-9 - -4 - 17195). Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqcqqqqqqqqqqqqqqqq?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1100000 (base 2) to base 10\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11348598133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(56\/584) - (-27)\/63?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**4 + 2166*h**3 + 2*h**2 + 10115?\nAnswer: -48*h + 12996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37301 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3549 or 2\/3?\nAnswer: -0.3549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000099318 to seven dps.\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1556160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135\/19 equal to 376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 5. Let k be p(-2). Let b(c) = c + 2. Let v(x) = 16*x + 71. Let l(z) = k*v(z) + 2*b(z). What are the prime factors of l(-20)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528 and 4752.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/511343 and 79\/25025?\nAnswer: 1828051225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.045432 + -0.009. What is q rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119443*k**3 + 119426*k**3 - 238871*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and (14 - (4 + 10)) + 131\/(-36).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, y: 5, w: 4}. What is prob of sequence wwkw?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 11:39 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 635 and 45336841?\nAnswer: 226684205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from wwcccwvvvwccc.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0989760169 rounded to three decimal places?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144805 is divided by 97?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4501168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 4*j + 9, 9 = 3*s + 29*j - 31*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220056179.\nAnswer: 3, 2999, 135607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-88)\/(-12)*(-6)\/4. Let q(y) = y**2 + 12*y + 13. Let n be q(v). Let h(b) = 4 + 4 - 8 - b**n. Let a(z) = 4*z**2. Calculate a(h(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.02038?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -9802\nAnswer: 39208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*x**4 - 4*x**4 + 3*x**4 + 7*x wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20088*t + 1124937. Calculate w(-56).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**7\/42 - j**6\/30 + j**5\/10 + j**4\/6 - j**3\/6 - j**2\/2 - 6*j - 1. Let d(v) be the first derivative of c(v). Factor d(t).\nAnswer: -(t - 1)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**3 - 2*j**2 + 2. Let b be a(2). Let c = b + 131. Calculate the remainder when c is divided by 42*(64\/(-12))\/(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-2)\/(-4)*(-91 - -95)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 15, 0.5, 2, 135.\nAnswer: -14, 0, 0.5, 2, 15, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1053886856 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*j**2*w - 41*j**2 + 10*j*w + 131*j - 100580821*w with respect to j.\nAnswer: -66*j*w - 82*j + 10*w + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 36*n**2 - 37*n + 9. What is a(37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vesolqv. Give prob of sequence qso.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 (base 16) in base 8?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Suppose -37*j - 9 = -40*j. Suppose -3 = -2*q + j*m, 3*q - n*m - 4 = 4*q. Solve -z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2412 - -2410.8. Which is the closest to f? (a) -8\/15 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/8 + 103*z**4\/8 - 6491*z**3\/8 + 24805*z**2\/8 - 15277*z\/4 + 1517 = 0 for z.\nAnswer: -148, 1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(6292)*2 - sqrt(52) - 1*sqrt(3328))\/(-2*sqrt(100)*4))**2.\nAnswer: -83391\/1600 - 39*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 223, 191, 145, 85, 11?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + m**3 + 4*m**2 - 3*m**2 - 4. Let u be o(-3). Let t be (-9 + 231\/24)\/((-6)\/(-48)). Solve -t - 5 = -u*c + 5*q, 3*q + 4 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17994768 a multiple of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 41*y - 6006 = 0. Calculate the remainder when y is divided by (-22)\/33*(0 + 186\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -8*y + 40, 20*i - 25*i + y = -13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39175 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26 + -28)\/(3\/(-6)). Let j(s) be the second derivative of 17\/6*s**3 + 0 + 30*s - 11\/6*s**n + 0*s**2. Find the second derivative of j(z) wrt z.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10166 - -10155. What is the third biggest value in 1\/5, q, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(2))**2 - ((sqrt(7) + sqrt(7)*2)*-2)**2) + 2 + sqrt(1008) + 3 + -1 + sqrt(1008).\nAnswer: -220 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - 7) + (-10 - -15) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = 5 + 285. Let j(x) = -4*x - 116. Let f be j(c). Solve -2*s - a + 3 = 0, 0 = s + a - 2 - f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54970 + 10896 = -838*v - 2012 for v.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 22.8.\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(11\/4))**(3\/19)\/(t\/(t\/(t*t**(-34)\/t)*t)*t*t**(-4\/15)))**18 assuming t is positive.\nAnswer: t**(118677\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 350 (base 11) to base 7\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**3 - 5. Let x = -152 - -147. Let f(z) = z**3 - 1. Calculate x*f(l) + p(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37b + 7?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 1\/11, 3, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/369130560 and -55\/18.\nAnswer: 1107391680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4019.\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-330 + (-5 - -7 - 3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(5\/2))))\/(w**2*w))\/(w\/(w\/(w*w**(-46)))*w*w**(4\/5)*w) assuming w is positive.\nAnswer: w**(427\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 261*q - 266*q + 41, 5*b + 10 = -2*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 277*k + 99. What are the prime factors of q(4)?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -5)\/((-9)\/243). Let j be -25*(-9)\/l - -8. Are j and 2\/123 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 3*w - 16*w)*(0*w + 2*w - 3*w)*(0 + 4 - 2 + (3 + 1 - 3)*(-2 - 3 + 6)) to q*w**2 + b*w + c and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2250219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 1987*u + 2240*u + 3 - 5 to the form g + n*u**2 + y*u and give y.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6623 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9266 - -2793.32985.\nAnswer: 2792.40325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*j + 21 - 11 = 0, 2*z - 3*j - 13 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 176*a - 492.\nAnswer: -4*(a + 3)*(a + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2517 or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 332911, 332885, 332861, 332839, 332819, 332801, 332785?\n\"Answer: b**2 - 29*b + 332939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1386 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3254 is divided by 1037?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 12:48 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766099 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2 + 2 + (-6*o + 3*o - o)*(o - 2*o + 3*o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 7*a**2 - 9. What is f(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50981 = -331*z - 5965 for z.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*x - 526, 2*b + 2*x + 315 + 191 = 0. Let j be (2058\/(-1008) + (2 - 0))*-6142. Let z = b + j. What is the common denominator of 25\/24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 1. Let z be d(-2). Let h(u) = 0*u - u + z*u. Let i(l) = -2*l**2. Calculate h(i(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 10\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 471, 483, 509, 555?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 1485490765?\nAnswer: -1485490790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/20 + 5)\/((-7)\/40 - 0)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32386 and 32384 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = 2*n. Suppose 2*q**5 - 2*q**3 + 25*q**2 - 2*q**4 - 23*q**n + 0*q**3 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*a - 5*a - 11*a)*(-5 - 6 + 1).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 5*g**2 - 3*g**2)*(19*g - g**2 - 19*g) - 26*g - 780*g**4 + 6*g + 20*g.\nAnswer: -782*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1237*n + 221416. Give l(179).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1521 = -6*y + 1131. Let x = y - -37. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = 4*r, -4*g + 2*g = -2*r - 6. Put g, -9, -1 in increasing order.\nAnswer: -9, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/31313469 and 76\/15.\nAnswer: 156567345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (-3 - 0) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855078?\nAnswer: 2, 59, 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 375950 to the nearest 1000.\nAnswer: 376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1685774 and 71.\nAnswer: 119689954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1636 = -4*y - 2*h, 92*y = 93*y - 2*h - 404. Let v = 1037 - y. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*l**2 - 24*l**2 + 2 - 272*l**2.\nAnswer: -41*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942 divided by 2507.\nAnswer: 942\/2507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 11:24 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 + 23*o**3 - 19*o**3 - 3*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/65 in -2\/27, 33, -189, -0.5, 1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -72487*w - 289946. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/9*3\/15. Let x(i) be the first derivative of -2\/5*i**5 - 1 + l*i**3 + 0*i**2 + 0*i + 0*i**4. Find the third derivative of x(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*g - 4*b + 8*b, 4*g - 5*b - 6 = 0. Let y = g + -2. Suppose -y*o = -7 - 13. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 111*q**3 - 5*q**2 + 39*q - 159. What is the hundreds digit of b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202*a**3 + 233 with respect to a.\nAnswer: 606*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyvffefeekee. Give prob of picking 2 e and 1 y.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 40 = 49. Let r(n) be the first derivative of -n**3\/3 - n**2\/2 - n + 193. Let y(x) = -2. Give u*r(f) + y(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -696 - -2083\/3. What is the biggest value in 15, 1\/4, -3\/2, g?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 16 = -2*t, -2 = t - 3*x - 16. Suppose -6*o - 16 - 32 = 0. Let k be (-9)\/(-4) + (18\/o)\/9. Solve -k*u = t*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 71*r - 333. What is m(77)?\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*s - 2. Let d(h) = 20*h**2 + h - 1. What is the tens digit of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1060089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*m - 3*y = 183*m + 90, -710 = -0*m + m + 21*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -32*o + 24. Suppose -4*t - 14*c = -15*c + 3, 2*t = 2*c. Let l(y) = -y + 1. Calculate t*m(p) + 24*l(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**14\/v)**27*(v**4)**(-1\/16) assuming v is positive.\nAnswer: v**(1511\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 2*x - 2*x)*(-1 + 2 + 1)*(3 + 0 + 0)*(-15*x + 49*x + 6*x) to w + j*x**2 + s*x and give j.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247877 + 29428 = 3760*z + 161311 for z.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2883 - -343.9783. Let g = v - 348.88963. Let p = g - -6.2. Round p to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2\/3, 0.1, 38, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6 + 0 + (-35)\/((-280)\/16)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 758 - 60*r**2 - r - 2*r**3 + 123*r**2 + 0*r**3 - 66*r**2 to g*r**2 + h*r + v + a*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 2*l**4 + l + 13 - 11 + l**4 to the form b*l + n*l**3 + z*l**2 + t + y*l**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 - 2.6. Which is the closest to -2\/5? (a) -2 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/20, 3, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 2*s**3\/3 + 15*s**2\/2 + 7*s + 381. What is d(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/33, -4, 9, 15, 0.2, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (122 - 15) + -11 + (17 - (42 - 20))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*j**2 + 10*j + 1088?\nAnswer: -84*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*f = 13, 8 = -5*f - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 + 0 + -2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558 take away 38566.8?\nAnswer: -40124.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -71?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6662\/3 - 2222. Which is the third biggest value? (a) 2 (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 2405*i = 0 for i.\nAnswer: 0, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248054029 + 160943563. Let x = r + 87110404.000079. Let i = 62 + x. What is i rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 + -13 + 48\/(-2). Let l be ((-12)\/z)\/(2\/36). Suppose -d = -l*d + 384. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21496 minus 42?\nAnswer: -21538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 34. Let s = 4 + -7. Let r be (-33)\/(-176)*(-2)\/s. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiibiii. Give prob of sequence ii.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/3)\/d**(-3) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p + 4*p - 6 - 18*p)*(-2*p**2 + 1 - 1).\nAnswer: 2*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p - 0*p. Let a = -9 - -15. Suppose p*h = -4*w - 3, 4*w - w + 3*h + a = 0. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45314973, 181259890, 407834751, 725039556, 1132874305, 1631338998?\n\"Answer: 45314972*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*k + 23 = 0, 4*h - 12 = 2*h - 2*k. Calculate the highest common divisor of 7 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3233012 (base 4) in base 11?\nAnswer: -10551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 4, -766, 0, 5, 2 in ascending order.\nAnswer: -766, 0, 2, 4, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -3\/2, 15836906, -3?\nAnswer: 15836906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-3570)\/441) + (-2 - 0 - 5)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 622*w\/3 + 7820.\nAnswer: -2*(w - 345)*(w + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -541329 at least -541330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 28171 in decreasing order.\nAnswer: 28171, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -2824696.\nAnswer: 5649392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-34))\/(9\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3367800 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 25405728?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 + 40*c**5 + 142*c**3 + 12137*c**2 wrt c?\nAnswer: -120*c**3 + 2400*c**2 + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 - 165. Suppose 2*t = -5*d + 20, 0*t - 2*t - 3*d + 12 = o. Solve -z = 1 - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -15415?\nAnswer: 15414.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3644171*w**4 + 4094*w**2 - 31*w - 1.\nAnswer: -87460104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286 + -321. Let t = 87 - 48. Let l = t + m. Which is the nearest to 0.1? (a) l (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rllr when four letters picked without replacement from {l: 8, r: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 21 = -7*q. Suppose q*z - 754 = 541. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12123231120 (base 4) in base 16?\nAnswer: 19bb58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 equal to 9461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -834396290, -1668792578, -2503188866, -3337585154, -4171981442, -5006377730?\n\"Answer: -834396288*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/1 + -10*(-3)\/(-15). Solve -t*a + 70*a - 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20576, 40851, 61126, 81401?\nAnswer: 101676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*i - 16, 6 = l - i - i. Let a(c) = 1 - 5 - l + 5 - c. Give a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a2 (base 13) to base 11.\nAnswer: a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 375375, 750751, 1126127, 1501503?\n\"Answer: 375376*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (5 + -2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -21. Let t(x) be the first derivative of -x**4\/4 - 4*x**3\/3 + 3*x**2 + x + 1. Give t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k + 2. Let h be z(-5). Let b be (-27188)\/112 + 1\/(-4). Let j = b - -499\/2. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742 = 187*h + 7826 - 913 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.81 times -1.7\nAnswer: 3.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(13) + sqrt(78)\/sqrt(6) + -5)*1)**2 + -2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58720469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b - 2*b + (-1 - 3 + 3)*(2*b + b - 2*b) - b - 2*b + b + 0*b + 0*b + b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -48. Let d be (-15)\/2*(-2)\/3. Suppose 0*v + 70 = d*v. What is the remainder when f is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 16*x**2 + 37*x + 18. Let v be w(-18). Solve v = -5*r - 12*r + 68 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x**2 - 2*x**2 + 3*x**2. Let l(v) = v**2. Give o(l(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051266955 rounded to seven decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 90, 92, 94, 96, 98?\n\"Answer: 2*i + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/160 and -85\/6?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 68. Suppose 4*s = -0*s, z = 4*b + 4*s. Suppose 3*q - 2*q = -3*a + 68, b = 2*q - 3*a - 172. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111634703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 17 + -3 + (-53 - -3) + -6.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 30 = -3*w. Let z = 3 - w. What is the highest common factor of 88 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1081*t**2 + 2*t - 2371?\nAnswer: -2162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 0.05, -23, 165?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 6*q - 2. Let s be i(-4). Suppose s*r - 10 = r. Is r + -1 - (-18)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 705155 and 1107.\nAnswer: 706262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**3 + 57*j**2 + 25. Let v be z(-14). What is the second derivative of v*d + 45*d - 65*d + 102*d**2 wrt d?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/10 - (-9718)\/860\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181 is divided by 1562?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 47*a**2 - 9*a + 23. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2\/r)\/r)**46\/(r*r\/r**(2\/15)*r\/(r*r*r\/(r*r\/(r**(-2\/65)\/r*r)))))**(-46) assuming r is positive.\nAnswer: r**(3404\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 447552427 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115819608 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.3 + -49. Which is smaller: -2\/17 or k?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-26)\/14 - -19*(-23880)\/(-7980)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -31*z + 894. Let k be m(-17). Calculate the highest common factor of k and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2081136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/335389 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from tvtteetet.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 157*c**2 + 147*c + 637. Give d(158).\nAnswer: -1101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 take away -857515.3?\nAnswer: 857484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -207, -161, -39, 195, 577, 1143, 1929, 2971?\n\"Answer: 6*z**3 + 2*z**2 - 2*z - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**3\/6 - 11*y. Let b = 4 + -8. Calculate r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocskskkgogggcsck. Give prob of picking 1 o, 1 c, and 2 s.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5917687 is divided by 236701?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -3. Let t be d + 2 + -2 + -6. Let b(n) be the first derivative of n**4\/4 + 8*n**3\/3 - 4*n**2 + 9*n + 9417. What is b(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-g - 3*g + 2*g)*(0 + 4 - 3) + g + 5*g + 0*g)*(-5*g - 2*g + g) to the form z*g + s*g**2 + q and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7119, 7330, 7827, 8754, 10255, 12474, 15555?\nAnswer: 19642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 7) to base 12\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(270))\/((5*sqrt(1050))\/sqrt(7)).\nAnswer: -12*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.94 - -4. Let z = 0.016 - k. What is z rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3790108781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*h**3 + 15*h + 771*h**3 - 15*h + 296*h**3.\nAnswer: 1261*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -41*r**5\/10 + 13*r**4\/4 - 20*r - 3. What is the third derivative of g(i) wrt i?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2148, 4268, 6310, 8268, 10136, 11908?\nAnswer: 13578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 24*r + 411 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + -1. Let r(v) be the third derivative of -v**4\/12 - 5*v**3\/2 + 2*v**2. Is r(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -50*m - 4. Let s be l(-9). Let d = s + -982. What is the tens digit of (d\/(-10) - 2)*(-5)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.617 and 0.24.\nAnswer: 1.10808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1896973 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q**3 - q**2 + 87*q - 10. Does 30 divide u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117222 + 8641. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 15*q**2 + 16*q - 8. Let o be w(-13). Suppose -r - r = -o. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12724, 51448, 116196, 206968?\n\"Answer: 13012*v**2 - 312*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (-9)\/(144\/(-3896))*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*((-4 + 1 + 2)*(0*m + m + 0*m) + 32*m + 15*m - 3*m)*(57*m**3 + m**2 + 3*m**2 - 2*m**2) as z*m + b*m**2 + c*m**3 + s*m**4 + t and give c.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 5*w - 126. Suppose 4*b + 7 = -9. What are the prime factors of (-222)\/w - b\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -5*s**7\/294 + 2*s**6\/21 + 19*s**5\/105 + 2*s**4\/21 - 10*s**2 + 3. Let d(g) be the second derivative of q(g). Solve d(o) = 0.\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262*y**3 - 6859*y**2 - 3*y - 6824319.\nAnswer: 1572*y - 13718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36811, 131454, 289193, 510028, 793959, 1140986, 1551109?\n\"Answer: 31548*a**2 - a + 5264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891) + -3 - sqrt(11)) + (sqrt(11) - (2*sqrt(1584) - sqrt(1584))**2).\nAnswer: -1587 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 234 - 239. Which is the smallest value? (a) -1\/31 (b) 0.5 (c) -2\/9 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -3905*f**4\/4 - 2*f**2 + 294*f - 720. Find the second derivative of h(t) wrt t.\nAnswer: -23430*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - d - 10 - 0, 5*d + 10 = 2*n. Let s = 5367 - 5365. Solve -3*g = -s*g - n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2393625642 to the nearest integer?\nAnswer: 48925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-8) - 53*(-37)\/(-8). Let a = f - -421. What is the first derivative of -87*i**3 - 89*i**3 + 36 - 30*i**4 + a*i**3 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m. Let x(j) = -2*j**2 - 38*j - 3. Let c(k) = -4*k**2 - 73*k - 7. Let z(r) = 3*c(r) - 7*x(r). Calculate s(z(i)).\nAnswer: 4*i**2 + 94*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -d - 5, 4*d + v = d + 1. Let t(q) = q**2 - q - 1. Let w(b) = b - b - b + 1. Determine d*t(f) + w(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3210.3 + 3520. Let b = -310 + u. What is the second biggest value in 0.4, 0.281, b?\nAnswer: 0.281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52634349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -140. Let x = r - 35. Solve n = 5*n - 4*p, 0 = -x*n - 2*p - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 32398032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*n + 519*n = -450*n - 39*n - 21837 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 11*r**2 - 8*r - 21. Let u be q(9). What is the second derivative of -20*w + 13*w**3 + u - 69 wrt w?\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*t + 265, 256*w - 380 = -4*t + 260*w. What is the remainder when 309 is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-75) + -1 - 72\/1600.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/5 + 84*x\/5 + 1856\/5 = 0.\nAnswer: -16, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -3*l**7\/70 + l**6\/10 + 21*l**5\/100 - 9*l**4\/20 - 2*l**3\/5 + 6*l**2\/5 + 14*l. Let m(r) = 0. What is r?\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95.43 in -1, 4, -21, 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17392 (base 10) to base 4.\nAnswer: 10033300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 175*y**2 + 32*y + 30. Calculate c(-1).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**4 - f**2 - 1. Let v(l) = -8*l**4 + 32*l**3 + 23*l**2 - 12*l - 23. Let r(c) = 2*v(c) - 14*x(c). Factor r(a).\nAnswer: 4*(a + 1)**2*(a + 4)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-3921)\/48*6. Let f = 502 - a. What is the common denominator of (-1317)\/(-84) + (-7)\/((-147)\/12) and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:23 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 + 35 = -13*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16838, -17103, -17536, -18143, -18930, -19903?\n\"Answer: -o**3 - 78*o**2 - 24*o - 16735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -49, -2, 30, -143 in increasing order.\nAnswer: -143, -86, -49, -2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 52\/19, 0.2, 0.4 in descending order.\nAnswer: 52\/19, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-33))\/((-4)\/(-27)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 63*x + 10. Calculate the remainder when y(29) is divided by 145.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -16. Let v = -3 - a. Suppose v*p + p + 12 = 0. Which is greater: -0.3 or p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145.9 * -21.3.\nAnswer: -3107.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:17 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402548677.\nAnswer: 37, 37906721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -59. Suppose 17 - 5 = 3*m. Which is the nearest to 2\/3? (a) -4 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661782 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -167602.\nAnswer: -1\/83801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 226. Let r(u) be the third derivative of u**5\/15 + 8*u**2 - 240. Determine g(r(q)).\nAnswer: 12*q**2 - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**2 - 2*h + 3. What is the units digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3042 and 8450?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -365.6 times 0.17\nAnswer: -62.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 21*x + 9. Let h(q) = 11*q + 4. Let f(b) = 13*h(b) - 6*z(b). Is f(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 4. Let o = -4 + 6. Suppose 0 = -2*u - o*u. Calculate i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7345700 to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -476 + 476. What is the smallest value in 0.5, f, -4, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7446 + 7450. What is h in 3\/8*h**5 + 3\/8*h - 3\/4*h**2 - 3\/4*h**3 + 3\/8*h**n + 3\/8 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22774127.\nAnswer: 22774127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 3*u**3 - 2*u**3)*(-1 - 4 - 11)*(7 - 7 - 2)*(19*u + 30*u - 14*u).\nAnswer: -1120*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from araaaaraaaaaaaaaaaaa. Give prob of picking 2 a and 1 r.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2645468544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*i + 1151 + 2357 = -1474 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24*p + 46. Calculate k(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 3*d + 2*d)*(-4*d**2 + 3*d**2 + 0*d**2) + (7 - 33*d**2 - 7)*(4*d + 4*d + 0*d) + (2*d - 2*d + d**2)*(0*d - d + 3*d).\nAnswer: -260*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 11*u + 6. Is p(-11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 20370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 5. Let g(l) = l - 6. Let f(h) = -6*g(h) - 7*i(h). Calculate f(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340971612 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8223036.64 + 0.0071.\nAnswer: -8223036.6329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6244225 litres?\nAnswer: 624.4225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 144195175?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103.9 - -15250.\nAnswer: 15146.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2657, -2656, -2655, -2654, -2653?\n\"Answer: i - 2658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-22)\/33*(-348)\/(-12760))\/((-6)\/(-10)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 11*m**2 + 58*m + 8. What is the remainder when 95 is divided by n(-15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + (0 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100000001?\nAnswer: -11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 7*v - 2. Give r(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -427*w**2. Let s(b) be the third derivative of b**4\/12 + 10*b**2 + 12. Determine s(a(r)).\nAnswer: -854*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*2*((-2*(4 + 2*sqrt(171)))**2*3 + -3).\nAnswer: 5760*sqrt(19) + 83973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.068, 44.\nAnswer: -5, -0.068, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -232183 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - 7) + -4 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -2, -4, -1\/8, -35784, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95331, -190661, -285991?\n\"Answer: -95330*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2) + -6 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 41b (base 16) to base 14\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591614 rounded to the nearest 1000?\nAnswer: 592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**8*r**(-4\/7)*(r\/r**(-3\/2))\/r**(-10) assuming r is positive.\nAnswer: r**(293\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 4*a**2 - a**2)*((-1 + 0 + 2)*(-2*a + 5*a - 5*a) - 5*a + 2*a + a) - a**3 - 2*a**3 + a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -22, 103, 3, 19, -2 in decreasing order.\nAnswer: 103, 19, 3, -2, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002878 to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20001564.\nAnswer: 2, 3, 11, 53, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -331 - -363. Calculate the remainder when 62 is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 18. Let x(h) = -27*h + 63. Let l be x(2). Let t be ((-3)\/(-6 + l))\/(r\/4). Solve 5*w - t*y = 5 - 24, 5*w = y - 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4\/13 (b) 28.67 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/8 - 29\/56. What is the common denominator of 71\/18 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -15, -95, -247, -495, -863, -1375, -2055?\nAnswer: -2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 195*y - 197*y + 97, 0 = -5*y - 2*u + 253 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*x - 3*x**3 + 98*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5 and -46\/87?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -17. Suppose j + 2*z = 2*j - 2, -4*z + 14 = j. Calculate the greatest common divisor of j and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33406 by 5.\nAnswer: 33406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1358 - -1356. Let o(d) be the second derivative of -d**3\/6 + d**2 - d. Let w be o(v). Solve 0 = -4*y + 5*p + 16, 16 = -w*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baabaaa. What is prob of sequence bbaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 8*m**2 - 8*m - 1. Let p be j(-7). Let v = -5 + p. Calculate the remainder when 2 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = 8. Let q be 2\/2 - (m - 11). Let p = 220 - 110. Calculate the greatest common divisor of p and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38 (b) 3\/2 (c) -18\/59 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 2\/5*k**2 - 1\/50*k**5 + 0 - 1\/3*k**3 - k + 2\/15*k**4. Factor m(a).\nAnswer: -2*(a - 2)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*k + 5908 = 4*k, 2950 = 2*g - 2*k. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 1 - o**3 + 0 + 2*o + 2*o**3 - 1. Let z(c) = 2*c - 13. Let a be z(7). Let l be -5 + a + (5 - 3). Determine h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babmkbjllaljlla. What is prob of sequence ba?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:47 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-90) - (4 - 18\/4). What is the nearest to f in 1, -0.5, 2\/21, -0.11?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = 3*r - u, -270 = 2*r - 20*u + 24*u. Let j = r - -151. Let l = -3 - -19. What is the highest common factor of l and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2 - v + 120. Give o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 bigger than 4529\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/24 + j**3\/3 - 5*j**2. Let a be q(0). Solve 0 = a*z - 3*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-13))\/(c\/(c**(9\/10)\/c))*(c**(-1\/24))**(1\/26) assuming c is positive.\nAnswer: c**(-40877\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 6*z - z**2 - z**4 + 3*z**4 + z to v*z**2 + g*z + m*z**4 + r + q*z**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5678)\/(-1002)*-1*9\/1.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579126 - 1164332 + 585206 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -4372\nAnswer: 21860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41820514?\nAnswer: 2, 20910257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 7*c + 15*c + 3*c + 2*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.3 (b) -2\/1797 (c) 16\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 - 22014651?\nAnswer: -22014760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 + 6*z**2 - 9*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -47*v - 5\/4*v**2 + 19 = 0.\nAnswer: -38, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2 + 6. Suppose 2*m = j*m. Solve -3*o + 5*a = -26, m = -4*o - 5*a + 3*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 807.3487ml?\nAnswer: 0.8073487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4828\/(-9656))\/((9\/(-372))\/(3\/2)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -489592 greater than or equal to -5385528\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 73*b + 98. What are the prime factors of x(33)?\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 392 = 13*m. Calculate the remainder when m is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 3:18 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 = 1. Let z(k) = -k**3 - 2*k**2 + 2*k + 1. Let q be z(-5). Calculate the highest common divisor of q and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 7. Let d be i(-4). What is the derivative of 10 + 9*r**4 + d*r**4 - 18 wrt r?\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 58*k + 466. Let w be q(-8). Let y(f) = -f**2 - 2*f + 1. Give y(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 10 + 13, -d - 5*k + 7 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 127*h - 2. Let c(j) = j**2. Give c(o(k)).\nAnswer: 16129*k**2 - 508*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6*(-7)\/280)\/(1\/(-4)). What is the closest to 2\/3 in 5, p, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 38*k**2 + 164*k - 32. Determine h(-42).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.659758 - 0.87955. Let h = 0.78 - m. Round h to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -0.1, 103.\nAnswer: -0.1, 5\/6, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*474\/(-711).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2736?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-2)\/4 - (-2658)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*x + 244, -x = -r + 2*r - 119. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2. Let f(b) be the third derivative of 13*b**4\/4 + 9*b**3\/2 + 23*b**2. Let l(v) = -6*v - 2. Let y(s) = 2*f(s) + 27*l(s). Determine m(y(a)).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000726 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 29*v + 93. Suppose 884 = -32*y + 20. Calculate the remainder when 79 is divided by u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 5*x + 3*x + 2)*(2 - 1 + 0).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10533*u**2 + 2700*u + 144. Let z(v) = 2107*v**2 - 540*v - 26. Let g(c) = 2*j(c) + 11*z(c). Find the second derivative of g(w) wrt w.\nAnswer: 4222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {v: 7, g: 1, w: 5, t: 2, s: 2, b: 3}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + l = -16, l - 4 = -k. Let n be ((-2)\/k + 0)*0. Suppose 3*c - 2*j - 163 = 0, 4*c + n*j - 2*j - 218 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.5 (b) -2 (c) -11.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/4 + 3*o**4\/4 - 9*o**3\/4 - 23*o**2\/4 - 3*o.\nAnswer: o*(o - 3)*(o + 1)**2*(o + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*v - 114, -5*w + 2602*v = -2*w + 2603*v - 42 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 138 = 60 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*r + 5*r. Let o be (-18)\/r*(-20)\/(-30). Let f = 0.5 + -1. Put o, -0.3, f in increasing order.\nAnswer: f, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -174*y + 1701. Calculate d(10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 4*l - 4058 = -3983 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1760920 and 4484.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 84, 167, 262, 375, 512, 679?\n\"Answer: w**3 + 76*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13483059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 399?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/30618 and -25\/96.\nAnswer: 489888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1443 + 1442.8. What is the second biggest value in -3, d, 1366?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 11*n**2 - n + 22. Let m be s(11). Suppose 2*r = m*r + 18. Which is the biggest value? (a) 0.2 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 117740 and -0.12?\nAnswer: -14128.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 355 = -j. Let t = -39 - j. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8829264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281.6 - 279.6. Let p be (-6)\/52*(-4)\/(-3). Which is the nearest to d? (a) -30 (b) 1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, r: 1, z: 4, j: 2}. Give prob of sequence ppj.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(132 - 291 + 94)*(f + f + 0*f).\nAnswer: -260*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4159310640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 19831223?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20538*w**2*x**2 + 3*w**2*x - 2*w**2 - 130*w*x**2 + 527951*w - 1 wrt x?\nAnswer: 41076*w**2 - 260*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*(6*w + 4*w + 13*w).\nAnswer: -115*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 13*s = 60. Suppose -9*p + 2*o = -5*p - 14, 0 = 5*p + 4*o + s. Which is bigger: p or -1\/88?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 2*d**3 + 184445*d**2 - 184370*d**2.\nAnswer: d**3 + 75*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 22654666\nAnswer: 6\/11327333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r**2 + 233*r - 5. Let i be c(-12). Let j(f) = -64*f**2 - f. Let p be j(-1). Let n = p - i. Solve 2 = -3*d + 2*o + 19, n*o + 20 = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 3 - 3 - -4625 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875) - (sqrt(875)*-2 - sqrt(875)))*5 - (sqrt(875)*2*3 + sqrt(875)))\/(sqrt(45)\/(sqrt(99)\/(sqrt(11) + sqrt(11)*1))*-2).\nAnswer: -65*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-28)*72\/162*(-105)\/(-310).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -325*1*(-20)\/50. Suppose d = 19*n - 17*n. Is 1066\/n - 6\/(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 45*z + 39. Let n(u) = -u + 1. Let i(s) = -4*n(s) - q(s). What is the tens digit of i(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c, -2*w - 5 = -5*c + 8. Suppose -160 = -w*p + p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6501469 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3300046 + -0.33. What is g rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 14*l + 25. Is z(-10) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.79519 and 1.\nAnswer: -8.79519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 59*h - 6 - 2 + 0*h**2 + 58*h.\nAnswer: 2*h**2 - h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.83 + 0.03. Let p = k - -1. Let h = -0.2 - 0. Put 4, p, h in increasing order.\nAnswer: h, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, b: 4, o: 1, y: 3, z: 1}. Give prob of picking 3 z and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4927384517 take away -12445?\nAnswer: -4927372072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/15))\/((l**(13\/6)\/l)\/l) assuming l is positive.\nAnswer: l**(29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195*b**2*l**4 + 864*b**2*l**3 - 17*b**2*l - 2668*b*l + 71*l**3 + l**2 - 2*l wrt l.\nAnswer: 4680*b**2*l + 5184*b**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -12. Solve 3*s = 12 - i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from msqmsmllmmqsl?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -15 - c**2 + 43 - 1923*c + 1929*c. Suppose 2*h + 2*h - 5*y - 21 = 0, -5*h = -2*y - 39. Let p be n(h). Sort 10, 0, p.\nAnswer: 0, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 818585*o - 104696960.\nAnswer: -5*(o + 128)*(o + 163589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*w + 22, 0 = -3*l + 8*l. Suppose -5*r + 2*q = -4, -2*r + 16 = 4*q - 0. Let t = w - r. Solve 4*h + 29 - t = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/73 (c) 4\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*a**5 - 75 + 75 + (0*a**5 + a**5 + a**5)*(-4 - 2 + 5).\nAnswer: 37*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3228853059.\nAnswer: 3, 358761451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -45, -80, -125?\n\"Answer: -5*y**2 - 10*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468256637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 16) to base 11.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7aa (base 14) in base 13?\nAnswer: -901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -13. Suppose 2*x - 3*s - 33 = b*s, -2*x - 3*s - 7 = 0. Suppose -4 = -0*d - 2*d. Solve 3*m = q + 5, d*m = -3*q + x + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 49*r + 43. Let x be s(-5). Let l = -191 - x. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019109143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(45)\/(sqrt(80) + sqrt(5))).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - 2*f + f)*(52 + 38 + 9347*f + 37 - 127) to s + h*f + z*f**2 and give z.\nAnswer: -9347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k - 1. Let a(z) = 8*z - 8. Calculate -a(d) + 8*g(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69\/5, -0.1, -38.\nAnswer: -38, -0.1, 69\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 12:15 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 15. Let j = a + -5. Suppose -r + j + 6 = 0. What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/90 + 8\/20. Sort -1\/4, q, 0.3 in descending order.\nAnswer: 0.3, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.4396 * 86\nAnswer: -553.8056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-144)\/(-168) - 66\/28. Let u be ((-7)\/(-1))\/(1\/(-3)). Let w be 28\/u*(-6)\/4. What is the nearest to w in -0.1, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 2c79899?\nAnswer: -2c79899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8834971t?\nAnswer: 883497100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2458, 4970, 7908, 11272, 15062?\n\"Answer: 213*p**2 + 1873*p + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384162?\nAnswer: 2, 3, 43, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3. Suppose -5*w - 37 = -2*o, -4*o = 2*w - 3*w - 83. Suppose 3*z + 16 + 2 = 0. Let a(y) = y**3. Give o*a(m) + z*r(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 320480093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - q)*(-2 + 2 - q) - 2*q**2 - 3*q**2 + 3*q**2 - 39 + 4*q**2 - 11*q + 39.\nAnswer: 3*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 10946855\/178 and 61498 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**2 - 17 - 5*x**2 + 17.\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = -22. Let x = 88 + -1. Suppose -5*o + x = 4*h, -2*o = z*h - 6 - 22. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 46077*z - 45849*z + 91661*z - 3*z**2 + 8)*(-3*z**3 + 2*z**3 + 2*z**3).\nAnswer: -2*z**5 - 265*z**4 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 3*q**2 + 5*q + 4. Let v be c(-4). Let z(l) = 2*l**2 - l**3 + 3 - 9 - 4*l**2 - 6*l + v*l**2. What is the units digit of z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61037032 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytfttyfyyyyty. What is prob of picking 2 t and 1 y?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154.99999839 - -155. Round p to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246175 is divided by 22228.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5. Let m(t) = t - 11. Calculate 2*m(g) - 5*x(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3 + 15645*b**2 - 10916*b.\nAnswer: 12*b + 31290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*l**2 - 60*l**2 - 50*l**3 - 28*l**3 wrt l.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/8390 and 1\/40.\nAnswer: 33560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w = -51. Let f = w - -43. 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: 12 + -13689\nAnswer: -13677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 17. Suppose -3*b + h + 3 = 0. List the prime factors of b + 9\/(-3) + 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 y when three letters picked without replacement from cccmqyqqcyqwqqqc.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 7*d + 108. Suppose -4*n - 2*q = -196, 2*n - 3*n + 5*q + d = 0. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 9*b - 58. Let u be p(5). Let w(o) be the first derivative of -2*o**2 + o + 1. Determine w(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 8:49 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84397 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 3*d - 3 + 25)*(0*d**4 - d**4 + 0*d**4).\nAnswer: 3*d**5 + 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 10:49 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12517744 and 4.\nAnswer: 12517744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682166?\nAnswer: 2, 341083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6080 to the nearest one hundred.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -20 + 4. Which is greater: 26 or q?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from issis?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40920881 to the power of 1\/2, to the nearest integer?\nAnswer: 6397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 9*l - 10. Is n(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 3. Let z(w) = w**2 - 5*w. Let t be z(5). Let m be u(t). Suppose 0 = -0*y - m*y. Sort 1, 3, y in decreasing order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -280*(55\/(-10) + 5). Let q be l\/(-44) + 9\/3. What is the closest to 0 in 136, q, 2, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -595.5 + 595. Let o be 24\/8 - (-6)\/2. Let k be o\/(-14) + (-48)\/280. Sort u, k, 0.3.\nAnswer: k, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/((-4)\/2))\/15*15. Suppose -k*g = 2*h - 48, -5*h = 5*g - 3*g - 98. Sort -4, h, 0 in ascending order.\nAnswer: -4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4004124 + -143?\nAnswer: 4003431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1063\/4 + -266. Sort 0.46, t, -1, 4 in decreasing order.\nAnswer: 4, 0.46, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189822539983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*d*h**2 + 117*d - 3*g**3*h**2 + 2*g**3*h wrt h?\nAnswer: 36*d - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-329 - 11*q**3 + 329)*(-3 + 0 + 1) - 3*q**3 + 2*q - 2*q + (2 - 3 + 3)*(0*q**3 + 2*q**3 - 5*q**3).\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 0.8. Suppose -2*g - 4*p + 21 = -1, p = 3. Let x(a) = -10*a + 46. Let c be x(g). What is the third smallest value in c, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 200 = -0*j. Let a = j + 88. Calculate the remainder when a is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:47 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4, 7090, 46, -4, 14 in decreasing order.\nAnswer: 7090, 46, 14, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78*(7540\/312 - (3 + 0) - 21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 422*j**3 + 13*j + 6*j.\nAnswer: -422*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11676 = 3*n - 3*o, -o + 11696 = 3*n + o. Calculate the remainder when n is divided by 779.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 + 79 - 47*s + 74 + 76.\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2\/2 - 3308055*c - 2188645576605\/2 = 0. What is c?\nAnswer: -661611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 376, 28\/19, 5?\nAnswer: 28\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 758551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -176610\nAnswer: -176610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*(o*o*o\/(o*((o*o*o*o**(1\/15)\/o)\/o)\/o))\/o*o)*o*o*o*o**(-20))**(-16))**47)**(-2\/101) assuming o is positive.\nAnswer: o**(-427136\/1515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50843548.\nAnswer: 2, 7, 1815841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) -0.4 (b) 1 (c) 0.72 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 745.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*b - 117 = 0, -5*n + 25*b = 28*b - 176. Does 15 divide (68 + -29)\/(3\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.1076 - 70.9. Round q to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*d + 20 = 0, -37*l + 2*d = 3*d + 42 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 691843, 1383393, 2074943, 2766493?\n\"Answer: 691550*m + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Let b(x) = 2*x + 3. Give b(y) - 6*i(y).\nAnswer: -4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d + 26. Let l be g(1). Solve -13 = -10*s + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -140, -126, -96, -44, 36, 150?\n\"Answer: c**3 + 2*c**2 + c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 779*v**2\/5 + 147506*v\/5 - 298136\/5.\nAnswer: (v - 2)*(v + 332)*(v + 449)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-5) + (-334 - -331).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**2 - 6*u + 1. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((6\/(-4))\/(-3))\/(614\/36 + -17). Solve -g - 7 = 2*q, -5*g + 3*q + y = -21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b. Let t = 8 + -12. Let r be 6\/t*(-20)\/15. Let s(k) = -k**2 + r*k**2 - 2*k**2. What is s(m(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-3\/8)*u**(2\/7)*u)\/(u**(-10)*u*(u\/(u*u\/(u\/((((u**(-3\/10)\/u*u)\/u)\/u*u)\/u)))*u)\/u))**(-15\/11))**44 assuming u is positive.\nAnswer: u**(-7863\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -198, -190, -168, -126?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 10*g + 11. Suppose -3*u + 3156 = 3177. Give b(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67778 + 67781. Let d = -4 - -4.04. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 240935, 240933, 240931, 240929, 240927, 240925?\n\"Answer: -2*y + 240937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*s + 6. Suppose s*d + 13 = -3*c + 58, -4*d - 5*c = -60. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**2 - n**2 - 19*n**2 + 10*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -3562?\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 3*p + 15, -4*p = -5*z + 20. Let q be (6 - z)*140\/(-30). Let l be 133*(-1 - 36\/q). Calculate the highest common factor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, 85, 163, 291, 487?\n\"Answer: 3*p**3 - 2*p**2 + 31*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9667379 divided by -4?\nAnswer: 9667379\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 115, 170, 241, 334, 455, 610?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/1687 (b) -3\/5 (c) -1\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + 844*y - 192*y in the form t*y + z and give t.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7992525 and 525?\nAnswer: 55947675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 894 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 298 - 297.99016. Let u = -0.008 + b. Round u to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26904 divided by -24.\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8 - 3 - 3 + 11*y + 16. Let l be x(-5). Let s = l + 81. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:01 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(4*(-8)\/32). Suppose r*j - 27*j + 10580 = 0. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 - 2) + (-26)\/(-2) and 125\/6 - 15*2\/36?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 22*q**2 - 6*q + 6. Let j(b) = 133*b**2 - 35*b + 35. Let g(r) = -6*j(r) + 35*l(r). Let v(i) = -2*i. Calculate v(g(d)).\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822103 is divided by 8718.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(605) + -6*(sqrt(605) - (3 + sqrt(605) + sqrt(605))) - (sqrt(605)*2 + 1 - sqrt(605))))**2.\nAnswer: 80784*sqrt(5) + 794484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 6*o**2 - 6*o + 7. Suppose 25 = -5*z - 0*z. What is the remainder when 46 is divided by q(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 1\/4, 4, 52\/5, -56, -1\/5?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 times 2.8?\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 3 - 28*z + 19*z + 0. Let p be c(10). Let i be 26\/p + 4\/14. Sort 0, i, 3.\nAnswer: 0, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1. Let o be p(4). Suppose -5*i + 8 = -o*i. Is i\/(-28) + (-213)\/(-21) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1045.\nAnswer: -2\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3112 + 3061. Which is smaller: s or -33?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzqqzzzyyyqqyqy. Give prob of picking 1 q and 2 y.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2724551 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.4. Let p = 58.7 - 63.7. Which is the biggest value? (a) h (b) p (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/i**3)\/(i\/i**4*i*i*(i*i\/i**(1\/6)*i)\/i) assuming i is positive.\nAnswer: i**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 977822.7 millennia?\nAnswer: 11733872400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110898 and 8784.\nAnswer: 887184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdhhjnjnndjdnfh. What is prob of picking 1 k and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -l - 0*l + 50, 4*u - 2*l = -66. Let j be (-2 - -2) + 2 - u. Suppose -5*k + j = 4. Solve -f = k*a + 4, 2*f + 3 = -0*a - a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**6*n**(2\/27)\/n)\/(n**(-6)*n*n**(-5\/3))*((n\/n**1)**(2\/3))**(-45) assuming n is positive.\nAnswer: n**(344\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 529942 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, g: 2, p: 2, v: 1, z: 2, f: 3}. What is prob of picking 2 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001101111 - -11?\nAnswer: 11011001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -494, -193 in descending order.\nAnswer: -4, -193, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2811728 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2\/11 + 36*u\/11 + 48\/11.\nAnswer: 6*(u + 2)*(u + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-9 + 0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10314291?\nAnswer: 3, 13, 17, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527 = -190*v - 326*v - 11*v. Let u(w) = w**2 - 4. Let n be u(0). Sort v, n, 9, -5.\nAnswer: -5, n, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*q = 104*q + 5*b + 60, 2*q = -4*b - 54 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.4, 4\/7, 23, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.58 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8522, 8504, 8486, 8468?\n\"Answer: -18*o + 8540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -3*p**2\/2 + p + 1. Let i be b(1). Let c(l) = -l**2 + 2*l + 12. Let r be c(4). Sort i, 1, r.\nAnswer: i, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3048 and 3846.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -882678 - -1388559. Let h be (-1)\/3 + 1482358\/3. Suppose 5*g + t + h = 0. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17409032285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*s + 114*s - 25*s - s**2)*(11*s**3 - 16*s**3 - 15*s**3).\nAnswer: 20*s**5 - 740*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -26 and 153029\/14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*x**4 + 3*x**3*z - 35*x**3 - 12426*x**2 - x*z wrt x.\nAnswer: 5544*x + 18*z - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(52)\/sqrt(4) + 1)*-6.\nAnswer: -6*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -696145 + 4\nAnswer: -696141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 402.9999478 - 403. What is k rounded to six decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3748046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.16 (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 616060 smaller than 616092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2776 = -3*s + 21*s + 69*s + 704 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-20))\/(-1) + (-168)\/495. Let k = l - 13\/33. What is the biggest value in 0, -3, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and -1504.757.\nAnswer: -1504.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102312223 + 1?\nAnswer: -1102312222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957, 965, 973, 981, 989, 997?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 69, 110, 167?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4 (c) -3 (d) 5 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18467092 = 9*b - 21033908. What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -78. Let k = 29 + -28. What is the closest to -0.04 in c, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.9942325 to one decimal place.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984*w = 199*w + 36110 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 40020*q - 279799. Calculate h(7).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2\/3, 0.012, 3?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -25. Let u be (-5)\/(-9)*g\/360*9. Sort -16, 0.6, u in decreasing order.\nAnswer: 0.6, u, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*d + c - 5, 4*d = -5*c - 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944459899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 1\/2, -0.2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) -2\/61 (d) 0 (e) 11.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**3\/6 + 2*v - 143. Let o(q) = 18*q. Give f(o(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-8))\/(-1))\/(385\/(-1155)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 2.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 53. Let y be s(10). Let l(p) = p - 1. Let c(x) = -x**3 + 3*x**2 + x. Let h be c(3). Let v be l(h). Solve y*o + v = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 + sqrt(80))**2 + 2.\nAnswer: 16*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 0.07, 0.1, -4 in increasing order.\nAnswer: -4, 0.07, 0.1, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9337880*r**2 - 9337882*r**2 - 9337883*r**2 + 28013645*r**2 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(165) - ((3*sqrt(165) - sqrt(165)) + sqrt(165)))*6)\/sqrt(3))\/((sqrt(15) - (sqrt(45) + sqrt(4500))\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3235 + -274989\/45290. Calculate the common denominator of 29\/2 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 5. Let k = 633 + -642. What is d(k)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69 * -1033917.\nAnswer: -713402.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8907 and 429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 134? (a) -3 (b) -1 (c) 1\/14 (d) -0.0009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7085 divided by -13.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -890.9 + 843. Let u = 48.4 + n. What is the nearest to 7\/18 in u, -0.3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70442710 + 70442710 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 129. What is the units digit of z(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y**2 + 1. Calculate u(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 3*j + 0 - 16\/21*j**3 - 4\/7*j**2 - 1\/6*j**4. Determine c so that z(c) = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 109434930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371.67 - -372.67. Let a be 9\/(-7) - 1*-1. What is the second biggest value in q, 3, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from oloogtoogg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let u(r) = 3*r. Let f(p) = -11*a(p) - 4*u(p). Let v be f(-3). Solve -v*y - 1 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 106848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 2096760*s - 2096755*s + 5 = 0, 3*i + 5*s = -5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 13 (b) -1781 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 419*w - 58*w**2 - 418*w + 17*w**2 to u*w + l + k*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2 + 0*o + 3*o - 2. Let q = -166 + 167. Let z be b(q). Sort -2, 8, 3, z in decreasing order.\nAnswer: 8, 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 0.5 (c) -3 (d) -2\/5 (e) -3610 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*d + 81373, 2*d + 3*d - 81374 = -3*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17*u - u**2 + 16*u - 10*u + 16. Let o be c(-12). Solve 2*j + o = -k, 2*j + 12 = 4*k - 3*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**4 + 2*a**4 + 2*a**4)*((0*a + 0*a + 2*a)*(0 + 1 + 0) + 6*a + 3*a + 5*a).\nAnswer: -32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -34. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 2. Let d be c(-2). Let k = -12 + d. Let z = -5 + k. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6042.939um in meters?\nAnswer: 0.006042939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:40 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40193 is divided by 6694.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/8 - 55217*o - 147245\/8 = 0 for o.\nAnswer: -147245, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2494414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*x + 8*x - 893766, -x = -4*o + 1787520. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 + p - p**5 + 2*p**5 - 5*p wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034930589 rounded to 7 dps?\nAnswer: 0.0003493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -20*i**2 + 76*i + 16 = 0.\nAnswer: -1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 126. Let p(t) = -t**3 + 1. Let u(d) = 10*d**3 - 2*d - 8. Let j(l) = m*u(l) - 24*p(l). What is the second derivative of j(x) wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o + 313. Suppose -108 = -6*t + 42. What is the smallest common multiple of s(22) and t?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 1323 = 2*r + 1301, -2*a + 54 = 4*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 40. Let l be a(-13). Let t be (-90)\/(-180) - (133\/10 - 0). Which is bigger: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 956 by 239.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111022 (base 3) to base 14.\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232)\/168 + (-4)\/14?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - g + 13 = 0, 2*g + 0 - 2 = 2*f. Let s be ((-3)\/2)\/((-2)\/12). Let z = s - f. Solve -z = m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10300360193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47656 and 132608.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 130. Let u(v) = -209*v**3 - v**2 - 3*v + 2. Let n be u(1). Let f = n - -221. Calculate the greatest common factor of i and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65794 is divided by 1570.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -17 + -35 + 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3244*l**3 - 247*l.\nAnswer: -19464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 174681534.\nAnswer: 2\/87340767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5735481013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*w - 45 - 28, -w - 32 = -4*b. Let s(m) = -2*m**3 - 38*m**2 - 5*m - 14. Let j be s(w). Round j to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 8 = 0. Suppose t - 5*t = -o. Solve -t = -2*i + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/60 + i**4\/6 - 5*i**3\/6 + 5*i**2. Let w be v(-5). Solve -2*y - 2*y + 20 = w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 62, 52, 38, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 6*a**2 - 8*a + 6. Let z(h) = 14*h + 34. Let y be z(-2). Suppose -y*n + 133 = 13*n. What is u(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-6)\/(-6)) - (-14 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.4457 rounded to 0 decimal places?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -68, -115, -160, -203, -244?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/6)\/t)\/t**(-8\/7) assuming t is positive.\nAnswer: t**(13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 862 - 84. What are the prime factors of s?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3900)\/(-48) + 3\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3148 divided by 1?\nAnswer: -3148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/60 + w**4\/4 + w**3\/2 + w**2\/2 + 2*w. Let k(q) be the first derivative of f(q). What is the units digit of k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 r when four letters picked without replacement from rreepppeee?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1357824)\/(-640))\/272)\/(4\/2*(-7)\/(-140))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 - 4 = 0. Suppose 2*q - 10 = -3*s, 2*s - q - 15 = -4*q. Let o(y) = -g + 3*y**3 + y + 5*y**2 - 4*y**2 + s*y**3 + 3. Calculate o(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7322 = 37*m - 5554. Let a = -298 + m. Calculate the remainder when a is divided by 42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238138 is divided by 13229.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5022*f. Let s(p) = -68*p**2 + 36*p**2 + 27*p**2 + 6*p**2. Determine s(u(h)).\nAnswer: 25220484*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.2, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 256112892 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 23*j. Let y(s) = 0*s + 0*s - 322*s**2 + 320*s**2. What is x(y(a))?\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -17*t + 78. Suppose t*r - 15 = 2*j, 5*r = -0*r + j + 25. Suppose -2*s + 581 = r*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37297188 to the nearest integer?\nAnswer: 6107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -939.11\nAnswer: 2817.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqvevnvvkvepv. What is prob of sequence kqn?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.207 + -0.2237. Round g to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0286 and 263.\nAnswer: 7.5218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -969*r**2 - 133*r + 133. Let c(d) = 44*d**2 + 6*d - 6. Let t(s) = 133*c(s) + 6*x(s). Let f(h) = h**2. Determine f(t(n)).\nAnswer: 1444*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429813 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1479643\nAnswer: 4\/1479643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56281637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1205 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 426*c**2 - 438*c + 3212. Give w(212).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - ((sqrt(500) - (1 + sqrt(500)) - sqrt(500)) + sqrt(500)))*1)**2*2.\nAnswer: 40*sqrt(5) + 1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 330 - -314441?\nAnswer: 320321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.2, -4, 1, -3917, 8 in descending order.\nAnswer: 8, 1, 0.2, -1, -4, -3917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 * -5\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36381 is divided by 65?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000713 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:30 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124\/3 + 42. Let v = 219547\/737 - 6236\/67. Let r = v + -205. Put r, j, 0.1 in increasing order.\nAnswer: r, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.682553 minutes in microseconds?\nAnswer: 40953180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1314767\/228 + -17303\/3. What is the common denominator of u and -45\/32?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 11*w**3 + 4*w**3)*(-3 + 0 + 5)*(-w + 0*w + 2*w).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*(sqrt(200) - 6*sqrt(200)*2) + (sqrt(200) + 4 + sqrt(200) + sqrt(200) + 2)*4))**2.\nAnswer: -933120*sqrt(2) + 21015936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*i = 41, -3*y - i + 59 + 12 = 0. What is the remainder when 522 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989.1843ml to litres.\nAnswer: 0.9891843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -53, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 405.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1548 and 860?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1836)\/4896)\/((-21)\/560)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -40, 13, -6428, 3 in ascending order.\nAnswer: -6428, -40, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144833112\/209 - 692985. Let t = -65\/19 - r. Factor 2\/11*h + t*h**2 + 0.\nAnswer: 2*h*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 194*m**3 - 63*m**3 + 0*m.\nAnswer: 131*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(640) + sqrt(10)) - (sqrt(36) - (sqrt(324)\/sqrt(36) + sqrt(36))))\/(-1*sqrt(588)*1*1).\nAnswer: -11*sqrt(3)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 7, 4, 745.\nAnswer: 2, 3, 4, 7, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/13)\/y**(-1\/5)*(y**2*y)\/y*y*y**1 assuming y is positive.\nAnswer: y**(283\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 30. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/60 and 103\/233706.\nAnswer: 2337060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 854 - 851. What is the smallest value in 0.09, -1.7, m?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 129 - 161 = 0. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241866 is divided by 620913.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-119 - 2) + -168 + 227\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29098*o**3 - o - 798.\nAnswer: -174588*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 1. Let x(k) = -8*k - 16. Suppose -16 = 5*z - 4*z. Let h(f) = z*b(f) - x(f). Let u(y) = y**2. Determine u(h(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 154.912 micrograms?\nAnswer: 0.000000000154912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.41592 not equal to -0.016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -782*f + 445*f + 433*f - 4896 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zlllllllllzlzllzllz?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 573? (a) -1 (b) 2\/5 (c) -32\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iefe when four letters picked without replacement from ferirrieri?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6094 by 2.\nAnswer: -3047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84040745.\nAnswer: 5, 1621, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 + 2*x. Let v be w(-4). Let f = v - 24. Suppose 4*g - 8*g = -f. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 3*t**2 + 14. Let l(q) = -3*q**3 - 10*q**2 + 41. Let n(b) = 4*l(b) - 11*w(b). What are the prime factors of n(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 279585484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/9 + 6. Factor h(z).\nAnswer: z**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268 + 1253 - 1275 = -575*q + 1585 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 26*y**2 + 24*y + 13. Calculate the smallest common multiple of r(13) and 75.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h + 9. Let j(w) = 16*w + 13. Let q(m) = 22*m + 15. Let r(n) = 3*j(n) - 2*q(n). Determine 3*g(f) - 4*r(f).\nAnswer: -f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/9 + 13*x**3\/9 - 7*x**2\/3 - 13*x\/9 + 22\/9 = 0. What is x?\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, y: 3, b: 9}. What is prob of picking 1 y and 2 b?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9781*o**4 - 4*o**3 + o**2 - 191944*o?\nAnswer: 117372*o**2 - 24*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 - -43)) + (-52 - (-35 + -11)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 18*v - 24. Calculate g(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-695)\/(-70) - ((-830)\/(-140) - 6). Calculate the highest common divisor of v and 838.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146168 divided by -88.\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 2, z: 1, n: 1, g: 1, x: 1}. Give prob of sequence xdtg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(4\/5))*i\/(i*i*(i*i**1)\/i*i*i))\/(i**(-3\/10)\/i*i*i*i**0*i*i)*(i*i\/i**6)\/i*i**1\/i*(i**(-1\/4)*i)**(-4\/11) assuming i is positive.\nAnswer: i**(-303\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 626703834 and 33?\nAnswer: 6893742174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 5. Let n be t(5). Let s be (-4)\/20 + (-52)\/n. Let j(a) = 19*a - 6. Is j(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (235\/(-611))\/((-5)\/(-2)). Let f = 8 + 0. Let s(u) = -u**2 + 8*u - 4. Let r be s(f). Sort r, 0.2, d in descending order.\nAnswer: 0.2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, -20\/47, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*t - 41. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 + 3)**2 + (-1*sqrt(147)*-3)**2.\nAnswer: 108*sqrt(3) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/10 - (-4)\/(-10). Suppose -v + 0 = -k. Is v < 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305*k - 836*k - 681*k - 628*k - 109*k to m*k + z and give m.\nAnswer: -1949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 0 - 39*b - 1.\nAnswer: -39*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5\/3 + 184*k**4\/3 - 2116*k**3 + 97336*k**2\/3 - 559682*k\/3.\nAnswer: -2*k*(k - 23)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 140*a**2 - 251*a + 3455. Calculate z(-138).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4 + 672*i**3 + 4746*i**2 - 454232*i - 458304 = 0.\nAnswer: -28, -1, 24, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 - 274. Which is the closest to t? (a) -0.4 (b) 0.5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*g**3*t**3*z - 17*g**3*t*z**2 - 3*g**3 - 2*g**2*t**3*z**2 + 9*g**2*t**3 + 21*g**2 wrt g?\nAnswer: 660*t**3*z - 102*t*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5673 to 2 dps.\nAnswer: -3.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -20. Let p(a) = 184*a**2 + 1. Is p(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 6212.\nAnswer: 118028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgff. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15*k**2 - 9*k - 12. Let f(o) = o**2. Let d(a) = -18*f(a) - g(a). Factor d(m).\nAnswer: -3*(m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112136*t - 40922?\nAnswer: -112136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 388315 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2730 divided by 35\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 112 + 49. Let w(c) = 207*c**2 + 2*c + 1. Let g be w(-1). Suppose r - 101 = -2*x + g, -x = -2*r - k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -318*c - 622?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 2*z**3\/3 + 5*z**2 - 8*z - 45. Let y be t(-6). Solve 5*f - 10 = -y*r + 14, 0 = 4*r - f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -167, -329, -491, -653?\n\"Answer: -162*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275912 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0948 - 0.0052. Let a = -2 + -1. What is the closest to q in a, 6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-119218\nAnswer: 4768.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*380\/240*-4)\/2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 170 (c) -3\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n**3 + n + n**2 + 21*n**3 - 34*n**3. Calculate h(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, 4, -3, -14, -1, -4, 3.\nAnswer: -155, -14, -4, -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/(1 - 8324\/8328). Let g = b - 470. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*j - 54, -2*d + 3*j = -28 - 5. Let m be (d - 0\/2)*5. Solve 5*v = -7*v - m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57 - -3345?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 45*b - 4. Let o(q) = 91*q - 4 - 1 - 2. Let r(i) = 4*o(i) - 7*t(i). What is the remainder when r(1) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 20. Suppose 1 = b - 4*l + 12, 4*l - 41 = -5*b. Suppose 2*j + 10 = -3*j. Sort f, j, b in descending order.\nAnswer: b, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -577465.\nAnswer: 577465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 8. Does 16 divide b\/(-1*2\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2411 - 2410 + 4821 + 135*i**2)*(0 + 1 - 3)*(3*i - 2*i - 2*i).\nAnswer: 270*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -430095.81 - -424765. Let u = j - -5360. Let c = u + -29. What is c rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((54\/(-24))\/3)\/((-3)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - 2032?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5433 - -847555\/156. Calculate the common denominator of c and 23\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145024 is divided by 2458.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -68162\/1159?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158056899 is divided by 3425?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*s**2 + 3*l**3 + l*s**4 + 37*l*s - 8*s**3 + 2*s wrt s?\nAnswer: 2*l**3 + 12*l*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 5\/4 (b) -0.1 (c) -0.4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-55))\/(972\/(-792))*-2\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 19258*p**2\/3 - 25544112*p + 23887232856.\nAnswer: 2*(p - 1818)**2*(p + 32523)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -22919\/20792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - q - 1. Suppose 20 = -2*n - 3*n, d + 9 = -2*n. Let w be l(d). Calculate the remainder when 6\/4 - 2\/w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*b**2 + 10*b**2 + b**2)*(-6 - 10 + 4) as o + m*b**2 + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 15024?\nAnswer: 75120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17204 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 426 = -3*k, -4*k - 452*t = -449*t - 571. Solve -134*h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 5115*f\/2 - 162656.\nAnswer: -(f + 64)*(f + 10166)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 2, -27, -70, -127?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/(100\/(-525))*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/12 + 5\/4. Let j be ((-16)\/(-96))\/((-3)\/(-18)). Which is the nearest to r? (a) -1 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 847491 - 19235 = -9*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132040 by -33010.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 106 + -30?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 6. Let t(z) = -3*z + 7. Let p(s) = -3*t(s) + 2*w(s). Let g be p(9). Solve -3*n = 3*i - 30, g = -2*i + n + 1 + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 99. Let m be y*-2*(-22)\/8. Suppose -23*o + m = -19*o. What is the remainder when o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011356 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -395500 (base 15) to base 9.\nAnswer: -5153620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.7, -615, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 20751.\nAnswer: 20753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/17))\/a)\/(a*a\/(a\/a**(4\/15))))\/(a**1)**(-1\/12) assuming a is positive.\nAnswer: a**(-1327\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 3*s + 57. Suppose -o - 61 + s = 0. Solve 0 = -5*y - 5*d, -y + o*d - 18 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -1\/2*x**3 + 0*x**4 + 0*x**5 + 0*x + 0*x**6 - 4\/105*x**7 + 8*x**2 + 0. Differentiate h(u) wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16473 - 15868. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-66)\/(-18))\/11*(-5)\/(-1). Let z = 213\/86 + 1\/43. Which is the third smallest value? (a) z (b) q (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(2\/5))**22)**20 assuming v is positive.\nAnswer: v**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9))**(3\/16)*u**0*u*(u*u**1)\/u assuming u is positive.\nAnswer: u**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -1\/2 (c) 9\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.08 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-12)\/(-3 + 6). Let l = w + 2. Suppose 0 = o - l*f - 28, 0*o - 2*f = -5*o + 255. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/15)*j*j**(-1)*j**(-1\/5)*j\/(j*j*(j*j*j**(-4\/7)\/j)\/j*j*j*j) assuming j is positive.\nAnswer: j**(-79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.092 + 605.592. What is s rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (176\/(-56) + 2)*7\/(-2). Find g such that 1\/2*g + 0 - 3\/2*g**2 + 3\/2*g**3 - 1\/2*g**d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9214 plus 5?\nAnswer: -9209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1420)\/(-9) + (-10)\/(-45). Suppose q + x = -0*q + 69, -2*q = -3*x - b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7320)\/10)\/(-12)*5 is divided by 80?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-210)*96\/32?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627436.\nAnswer: 2, 17, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 615 = -0*g - g, -4*o = -3*g - 820. What is the highest common factor of o and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from heeeeeheeeeehe?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 0.01. Round y to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 11*m + 26. Let x = 303 - 311. Calculate c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 55 - -6 - (-30 - -51)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 8*t**2 + 8*t + 13. Let j be b(9). Suppose 3 - 11 = -j*p. Determine a, given that 3*a**2 - p*a + 0*a**2 + 0*a**2 - a**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 44. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. Suppose -8*w + 6 = -y*w + 2*q, 2*w + 15 = 5*q. Solve w = i + 2*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(4\/((-24)\/(-45)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 826560 and 700.\nAnswer: 4132800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 + 4 + 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 - -158. Suppose 2*h - 2*k = -6, 5*h - h = -4*k - 12. List the prime factors of (m\/(-6))\/(h\/8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -400*j + 401*j + o + 4, 2*j = 4*o - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4370 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 402 - -405012?\nAnswer: 405414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 381?\nAnswer: -50\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - (-10439)\/65. Let f = v - 156. Solve 2*q - 2*n = 18, -4*q + q = f*n + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1068060)\/(-150) - 3\/(-5) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187927?\nAnswer: 187927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*i**2 + 30 - 30)*(-4 + 3 - 1)*(-2*i + 2*i + i)*(1 - 1 - 3*i) to x*i + u*i**2 + o*i**3 + z + l*i**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:39 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -796 - -838. Which is bigger: 30 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -51*k**2. Let z(c) = -83861*c**2. Give y(z(l)).\nAnswer: -358666033371*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11 = -3. Suppose 4*j + 7 = -p*i + 47, -2*i + j + 17 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 989\nAnswer: -5\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6*c*c*(c\/(c\/(c\/(c*c**(3\/4)))))\/c*(c**(1\/4))**(-29)*(c**(-1)*c)\/(c*(c*c\/(c\/(c**(2\/21)\/c))*c)\/c)*(c**(2\/5))**11 assuming c is positive.\nAnswer: c**(242\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/59 - 67\/236. Let y = -13 + 17. Suppose j - 3*a = 7, -y*a - 1 - 1 = -5*j. Is j at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/18*24\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 1616*g**2 + 16*g + 14 - 805*g**2 - 809*g**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3810 + 8*n**2 + 2*n**2 + 3803 + 25*n**3 as h*n + l*n**3 + o*n**2 + m and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -11. Are 1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 42\/(-4)*2\/(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by -10868.\nAnswer: -49\/10868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - b?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 16*o - 11. Let v be (0 + 3)*40\/3. Suppose 3*x = -m - 3*m - 44, -2*m - v = -3*x. What is the tens digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44744049 divided by -6392007.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/13)*o)*o\/(o\/o**6))**(-30) assuming o is positive.\nAnswer: o**(-2400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21444 + -20451. What is the remainder when m is divided by 218?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = -g. Let t(l) = g - 2 - 2 + 1 - 3*l**2. Let s = 15 + -13. Calculate t(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9997 < -9998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21588992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnx. What is prob of picking 1 n and 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -407464790 divided by -81492958?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 2 - (-9 - 0). Suppose -25 = -4*n + 3*i - g*i, 4*n + i = 37. Let d be (-3 + -1)\/16 - (-246)\/24. What is the highest common divisor of n and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (1 + 1) - -12. Let m = l + -13. Factor 18*z**2 - 18*z**2 - 2 + 10*z**m - 8*z.\nAnswer: 2*(z - 1)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1180051744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -369*o**4*u - 4*o**4 + 48*o**3 - 188*o**2*u - 32*o**2 - 6*o*u + 2*u wrt o?\nAnswer: -8856*o*u - 96*o + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u - 28. Let x = u + 5. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8043 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(10\/625)\/((-8)\/(-40)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 - 5*z + 35. Give l(5).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 69*k = 69*m + 71*k - 592, -5*m + 14*k + 69 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - 853749?\nAnswer: -853789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 4*c**2 - c**2)*(-3*c**2 + c**2 + 3*c**2) + (-c - c + 0*c)*(2*c**3 - 3*c**3 - c**3).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + i**3 + 0*i**2 + 4*i**2 - 5*i**2 in the form b*i + w*i**3 + s + j*i**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, -1\/7, 36\/11, 5 in increasing order.\nAnswer: -15, -1\/7, 36\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125335 is divided by 871?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*h + 11 = 0, 5*a + h + 4*h = 25. Suppose -v = -x + 4, 2*v + 3*x - 5 - 12 = 0. Let i be (v\/(-2))\/((-4)\/8). Sort a, 3, i.\nAnswer: i, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*s + 52*s - 8. Solve -2*t = -s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 4*y + 4. Let w be n(-6). Let f = w + 8. Factor f + 1\/2*a**2 + 0*a - 1\/2*a**3.\nAnswer: -a**2*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4554, -1958, -12812, -28008, -47546?\n\"Answer: -2171*u**2 + u + 6724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 2:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 616 - 445. What is the remainder when p is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(130\/(-39)))\/((-14)\/(-4))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w + 3*w + 2*w)*(0 - 1 + 2) + (-17 - 4 - 23)*(30 - 30 - 18*w) as t*w + i and give t.\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 14*q**2 - 2*q - 18. Let y = -28 - -14. Let x be j(y). Let d be (-11)\/(-2) + (-2)\/4. Calculate the highest common divisor of x and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4492 - -1.47. Round f to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44696685 - -1.3.\nAnswer: -44696683.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y + 25. Let w = 51 - 51. List the prime factors of a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*5*(6*(-1*sqrt(243) + sqrt(243)) - sqrt(243)) - (-3*(-2 + sqrt(243)) - (0 + (sqrt(243) - (-3 + sqrt(243)))))))**2.\nAnswer: 72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 531*v - 1056*v + 537*v. Solve -3*z + v = -7*z + 2*o, -3*z - 5 = -2*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 966803 + 686717 = -7*l. Round l to the nearest 1000.\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019629041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3 + 39995*y**2 - 99669960*y + 73027312560 = 0. Calculate y.\nAnswer: 1303, 3348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-75)\/9 - 1. Let g = -23\/3 + o. Determine m, given that 0*m**2 - 2\/3*m**5 + 4\/3*m**3 + 0 - g*m + 0*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1410.37 + 1409. Sort -0.4, l, -5, 0.5 in descending order.\nAnswer: 0.5, -0.4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + 20 + -17 + 1 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 925*o + 956*o - 2801*o + 919*o. Let p(l) = -73*l - 5 + 1 + 3. Calculate u(p(g)).\nAnswer: 73*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 5 (c) -2\/133 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + z + 23 = -0*z, 2*v + 16 = 3*z. Suppose 0 = -4*n + 5*x + 9, 2*x = -n - 2*n - 22. Sort n, -2, v in decreasing order.\nAnswer: -2, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 4*x)*(3 + x - 3)*(36 - 36 + 6*x**3).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -38*f + 209 - 177 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s**3 - 2*s**2 - s + 1. Let f be j(-2). Suppose 0 = -4*h - 19 + f. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-117))\/((30\/36)\/(15\/12))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*o = -32, -10*f - 14 = -11*f - o. What is the third derivative of -42*t**2 - 27*t**3 - f*t**2 + 91*t**2 + 76*t**3 wrt t?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 9:19 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 624574471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 51084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 7*x**2 + 107404*x + 21*x**2 - 107335*x to the form c*x**2 + j*x + d and give j.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 - k**2 - 44*k + 32. Let a(l) = -3*l**3 - 43*l + 47. Calculate -2*a(y) + 3*g(y).\nAnswer: -3*y**3 - 3*y**2 - 46*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 279*s**2 + 10637*s - 99. Determine p(-34).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 40. Let y be q(-7). Let a be (y - 0)\/((-2)\/18). Find the first derivative of 4 + 0*u**2 - 50*u**2 + a + 27*u**2 wrt u.\nAnswer: -46*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -5*z - 3*t, 3*z + 113 = 7*z - 5*t. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*c - 4*p + 132, 5*c - 92 = -p. Let y be (60\/c)\/(4*1\/5520). Round y to the nearest one hundred.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2135701, -2135743, -2135789, -2135833, -2135869, -2135891, -2135893?\nAnswer: -2135869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 482534 and 13936?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 97 = -3*p, p - 7*k + 6 + 30 = -4*k - 3 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(156) - sqrt(156))*6*4)\/(sqrt(108)\/(sqrt(27)\/sqrt(3))*-3).\nAnswer: -2 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 bigger than -6396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x + 2 - 6 - 16*x + 7 in the form l*x + i and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/2, -1.77, -9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2817586148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 3, -2.649, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/14 + (-6)\/4 + 25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 3. Suppose j - 152 = -3*j. Let r be 18\/24 + j\/(-8). What is the units digit of i(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36396)\/(-2088) - 20 - (-2)\/29?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 92.506 + 0.4\nAnswer: 92.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 92.39. Let t = -2.242 + m. Is t > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q - 12. Let d(b) = b - 3. Let a(x) = 6*d(x) - o(x). Let t = 145 + -147. What is a(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42250 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265405073.\nAnswer: 23, 43, 101, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 - 9 = 0. Suppose 10*y - 10613 + 973 = q. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483817454 less than -825?\nAnswer: -1483818279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-7) + 7 + (22\/11 - -1). Factor r*v + 4*v**2 + 48\/7 + 4\/7*v**3.\nAnswer: 4*(v + 2)**2*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18360, 146243, 493162, 1168635, 2282180, 3943315, 6261558?\nAnswer: 9346427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**3 - 7*c**3 + 1 - 1.\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -110. Let k(h) = -h**3 - 5*h**2 + 5. Let t be k(-5). Solve -1 - b = t*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6229 (base 11) to base 13\nAnswer: -39b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -944*q = -948*q - 5*v + 1178914, -5*v = -q + 294741. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304159\/22 - 13829. Calculate the common denominator of b and -61\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 8*z = 66. Is 6\/z - (0 + (-13715)\/11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2 - 7. Let d be n(-3). Suppose -8*u + d*u = 12. Solve 10 = -u*t - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -15.8. Let o = j - -2. Let i = 2.2 - o. Which is the smallest value? (a) i (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 1, x: 1, m: 4, u: 2, d: 2}. Give prob of sequence gmgu.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5)*(-10)\/12. Let n = -5 + 2. Let m = n - -3.1. Which is the closest to m? (a) -2 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 89?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.41576 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095742?\nAnswer: 2, 547871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14361938.\nAnswer: 2, 7180969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3526*w + 3524*w - 733 = 0, 5*w = -45. Let q = -278 + 137. Is q less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073812 rounded to three decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**6\/540 + 23*l**5\/90 - 2*l**2 + 227*l. Solve j(d) = 0 for d.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) 0.03 (c) 5\/4 (d) -310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 20. Let q = -36 + y. Let j = -3 + q. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 1840?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v. Suppose 5*d - l - 21 = 0, 13 + 0 = 3*d - l. Suppose d*n + 10 = -n. What is the units digit of h(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9825.61 + 11395136.61. Let h = -11385310.61999934 + f. Let u = h - 0.38. What is u rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 14*j - 20. Let h(w) = -w**2 - 2*w - 5. Let t be h(-3). Let y be r(t). What is the highest common factor of y and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56470689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 387256 and 952.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 + 141*p - 94. Let f(k) = 14*k**2 - 398*k + 280. Let j(v) = -6*f(v) - 17*i(v). Calculate j(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/12*(-1)\/((-2)\/(-2))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-1416)*2*-4. Let v = f + -216\/767. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:57 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/37 (b) -3\/11 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -3 (c) 3 (d) 21.9 (e) 1\/2525 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from lllpaxmmmpallaxxpplx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9545, 3, 4 in decreasing order.\nAnswer: 4, 3, -1, -9545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188047648.\nAnswer: 2, 41, 143329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = u + 4*b + 6, -48 = -5*u + b. Let i = u - 3. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6557 and 316.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/7))**(5\/11)\/(s\/s**(-2\/3)*s**(-5)*s)*s**(-2)\/s*s*s**8*(s*s**(-3\/5))\/s*s*s**(-1\/3)*s assuming s is positive.\nAnswer: s**(3744\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -6 (b) 9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13302 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ydddy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3842 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 11*h**6\/30 - h**5\/60 + h**3\/6 + 4*h**2 - 5*h. Find the third derivative of g(a) wrt a.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.87043 plus 0?\nAnswer: -257.87043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 + -232. Let i = d + 107. Which is greater: i or 26\/7?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*x - 546 + 546 in the form i*x + l and give i.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**2 + 424*y + 390*y**3 - 424*y - 142 + 0*y**2 wrt y.\nAnswer: 2340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 67956654764 and -3.58.\nAnswer: 67956654760.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003282288 rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22777894 is divided by 146.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -970 - -971. Sort s, -0.3, -3, 3 in descending order.\nAnswer: 3, s, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 5*o**2 - 6*o + 4. Let k be t(4). Suppose 0 = 9*f - 2 + 641. Let l = f - -69. Which is the closest to -1? (a) l (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1455, 1, 1\/12, 0, -1, -1.4 in increasing order.\nAnswer: -1.4, -1, 0, 1\/12, 1, 1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-36) + 1)\/((-2)\/4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 6 = 20*y. Suppose 0 = -4*r + i + 4, 4*r = 2*r - y*i + 12. Calculate the remainder when ((-13)\/(78\/144))\/(-3 + 1) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 1 + 1)*(1 + 2 - 1) + 10*y**2 + 30*y**2 + 22*y**2.\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -171*r - 94. What is the tens digit of s(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 1\/24*w**4 - 5\/6*w**3 - 1\/120*w**6 + 0*w - 5*w**2 + 0 + 0*w**5. Calculate c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/44 + (-621)\/(-4). List the prime factors of k\/8 + 2\/(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 34*x**2. Let i(y) be the second derivative of 0*y**3 + 0*y**2 + 1\/12*y**4 + 1 + 2*y. Calculate p(i(g)).\nAnswer: 34*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 5 + k + 2*k**4 + 5 + 0*k**3 + 2*k**2 in the form m*k + b*k**3 + g*k**4 + d*k**2 + r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 816 = 3*g, 2*l + l = 5*g - 1349. What is the remainder when g is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/19, -0.01, 0.1, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 361451, 722365, 1083279, 1444193, 1805107, 2166021?\n\"Answer: 360914*b + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*i + 5, 4*q + 2*i + 50 = 0. Let y be (4\/(-90))\/((-3)\/q). Let s = 55443 + -55443. What is the nearest to s in -5, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 762 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/2)\/(378\/216)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.0822 less than -381\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-675)\/(-1575))\/(6\/56*1). Let a be (1 - -4) + (-1 - 0). Solve 0 = 2*g - f*g + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 12*z**2 - 13*z + 7. What is k(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(288)*1.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 279 = -3*j, 4*j = -j + k + 465. Suppose -78 - 7 = -5*i. Calculate the remainder when j\/3 - (1 + -3) is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 18 = h - 6, l - 3 = 0. Suppose -13*o + 16*o + 87 = h. Let a = o - -33. What is the common denominator of -45\/8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-574)\/112*-4)\/(6 + 39\/(-6))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 851 by -1023313.\nAnswer: -851\/1023313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 10) + (-4 + 3 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4191748 and -13.5801.\nAnswer: -4191761.5801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-9)*(3519\/(-450) - -8).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 6*d**2 - 4*d + 1. Let m be u(5). Let r = m - 10. Let i(l) = -3. Let c(a) = -a + 3. Let q(g) = 3*c(g) + 4*i(g). Determine q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2 + 42\/4. Let i be ((-5)\/(-3))\/((-4)\/p). What is the third biggest value in 4, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*d + 9*d + 3 + 7*d)*(2 - 4 + 0).\nAnswer: 4*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15225 + -3?\nAnswer: -15232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rniirrirrririin. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -94, -138?\n\"Answer: -44*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1408)\/198*27\/6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/42 + 1\/2. Let t(z) = z**2 + 43*z - 1696. Let h be t(-68). What is the third biggest value in p, h, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 129*w**3 - 2*w**2. Let a(u) = -889*u**2 + 48271*u**3 - 2 + 2 + 9006*u**3. Let i(k) = 2*a(k) - 889*y(k). Is i(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434967 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 - 3*q**2 + 6*q + 6. Let f(j) = 9*j**3 - 6*j**2 + 11*j + 11. Let m(t) = 11*a(t) - 6*f(t). Find the third derivative of m(p) wrt p.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 289068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 200*z**2 + 2185*z + 3610.\nAnswer: 5*(z + 2)*(z + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8753778 and 1621070.\nAnswer: 43768890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w + 60. Let k(q) = 14*q + 53. Let t(c) = 5*i(c) - 6*k(c). Suppose s = 4*o, 2*s + 2*o + 2*o = -12. Let f(p) = -2*p. Let h be f(s). Calculate t(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from iilcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 38.14. Let z = -1.26 + 1.4. Let h = g + z. Is -2\/5 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -19*a - 372. Let l = a + 128. Solve -2*i - l*n + 6 + 2 = 0, 15 = -3*i + 3*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 times -116\nAnswer: -6960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6 + 2. Suppose -t*s + 4 = -3*s. Let w(l) = l - 1. Let z be w(s). What is the highest common divisor of 12 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*m**3 - 161*m**3 - 1 - 8*m**2 - 35*m**6 - 2 wrt m.\nAnswer: -4200*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/((-47)\/(-141)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1.8, -0.3, 1\/4, 5.\nAnswer: -1.8, -0.3, 1\/4, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 36739600*f**2 - 36739588*f + 73479192 = 0. What is f?\nAnswer: -9184899, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -8. Does 18 divide r\/27 - (-52)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 1 + 3362238*b + 2 - 3359901*b.\nAnswer: -b**2 + 2337*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*n + 4 - 6 + 2 = 0. Is -3\/6244 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*z - 34 + 86 = 0, 5*u - 5*z = 110. Let x be 2\/(-3) - (-12)\/u. Suppose x*w - 9*w = -72. Calculate the remainder when 35 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 13*a + 10*a - 1)*(15 + 0 + 9).\nAnswer: 72*a - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*c + 63*c + 3*c)*(39*c + 27*c - 110*c) to a + w*c + k*c**2 and give k.\nAnswer: -4488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 19*s - 31. Let m(w) = w**2 - 11*w + 16. Let x(n) = 11*m(n) + 6*v(n). Let x(f) = 0. What is f?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 16. Let o(z) = -58924*z. Give o(v(t)).\nAnswer: -235696*t - 942784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*o + 20*o = -36*o - 37*o + 418 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 3*y - 13. What is the hundreds digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 16\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, -0.7, 0.5, -47, 16\/45.\nAnswer: -47, -0.7, 16\/45, 0.38, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + 13 - -14) + (-5 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1964 and -6268.\nAnswer: -12310352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8218.\nAnswer: 1\/8218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 g, and 1 d when three letters picked without replacement from {v: 1, x: 2, d: 2, b: 4, g: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 1. Let k(v) = -2*v - 2*v - 4 + 2 + 2*v. Let s(h) = k(h) + 3*l(h). Calculate s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 245, 505, 765?\n\"Answer: 260*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 174*j + j**2 - 178*j + 353*j + 0*j**2 - 31*j**4 - 2 in the form c*j**2 + b + z*j**3 + f*j**4 + n*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.2 (c) -0.3 (d) -102 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 63.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) 19068\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -23. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 5.124868, -2, 0.1, -1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 144174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 19890090.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 58443 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppgaaatptp. Give prob of picking 1 p and 1 a.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41 - ((-17 - (-4 - 8 - 6)) + 20)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(4)*-2)\/sqrt(4))\/(sqrt(6)\/((sqrt(27) + sqrt(1323) + sqrt(27))\/sqrt(9))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11815190041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -457.9 + 433. Let a = s + 24.90099. What is a rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 3}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.1 - 25. Suppose 5*z + 35 = -5*x, -x + 4*x + z + 11 = 0. What is the closest to 0.1 in n, 0.4, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1928*i**2 + 95*i**3 + 167*i**3 + 1927*i**2.\nAnswer: 262*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(2\/(-24)). Let u(k) = k - 7. Let n be u(7). Let q(x) = -x**3 - x**2 - x + 44. Let t be q(n). Calculate the highest common divisor of l and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 9 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 + 24.\nAnswer: 24.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6*(-2)\/4. Let n = -19610 + 58828\/3. What is the third biggest value in n, d, 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7101831.\nAnswer: 3, 11, 307, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72035 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3662522350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4046 - 21 = -2*q + 5*l, 2*q - l - 4047 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 6*l**2 + 2*l - 3. Suppose 2*g = -4*r, 4*r = -4*g + 3*r + 21. Determine h(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17049 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -55*x + 166. What is h(4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-3)\/(-2))*(-18)\/4. Let d(f) = -2 + 2 + f + 3 + 8*f**2 - 4. Let p be d(1). Solve -2*z = 2*g + 20, -u = -z - p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:30 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147554 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22837.\nAnswer: 41, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 8*i - 84. What is the remainder when 71 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2065*o - 6210*o + 2076*o + 2077*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-8 - (2 - 4)) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/6 + 330132497*n\/3 - 108987465575455009\/6 = 0. What is n?\nAnswer: 330132497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6925790 is divided by 3837.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(833) + -4 - (-6*(sqrt(85) + (sqrt(85)*1 - sqrt(85))))\/((sqrt(5) + sqrt(45))*-3).\nAnswer: -4 + 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**6\/120 - 11*y**5\/60 - 13*y**4\/24 + y**3\/3 - 3*y**2. Does 13 divide d(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 - -61.8. Let y = -202 + a. Let w = 141.0000118 + y. What is w rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3*v + 564 = 0. Suppose 2*u = -86 - 102. Let g = v + u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 11\/15, -0.029673 in ascending order.\nAnswer: -5, -1, -0.029673, 11\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h + 1. Suppose 0 = -30*i + 4*i + 52. Determine y(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*w + 0*w + w)*(-4 + 4 - 2) + 91 - 22*w - 91 - 33*w - 18 + 34*w + 64)*(1 + 10 + 2) to h + m*w and give h.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**3\/3 - a**2\/2 + 5*a - 1. Suppose 9 = 3*g + 2*s, -5*g + 8 = 3*s - 2*s. Let f be g - (-6 - -3 - -4). Give d(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501019.\nAnswer: 501019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 110*q - 229*q + 8 + 147*q. What are the prime factors of y(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*(11*z - 12*z - 8*z).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/356 and 57\/32780.\nAnswer: 2917420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3618? (a) 5 (b) -2\/3 (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + u + 9*u**3 - 2*u**2 - 2*u**3 - 4*u to the form w*u**2 + v*u + d*u**3 + s and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 10) in base 2?\nAnswer: -1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 - -202.000000399. What is v rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209 - -1516407.\nAnswer: 1516616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 184\/3. Is -1\/4 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79530 divided by 723\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 8*v - 6. Let y be q(-6). Let h be (0\/2)\/(-4*y\/(-8)). Solve h = -2*d + a + 5, 4*d = 2*a + a + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1, -50, -1118, -7, -1.\nAnswer: -1118, -50, -7, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:40 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -70. Suppose 10 = 2*q - 4*t, 3*t = 3*q + q - x. Is q greater than or equal to 17\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 2*u + 2. Let o(q) = 3*q**2 + 30*q + 57. Let n be o(-2). Let s(h) = 5*h**3 - h**2 - 9*h - 8. Calculate n*c(p) + 2*s(p).\nAnswer: p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*d = 140*d - 24. Let a(u) = -7*u**2 + 4*u - 4. Let o(y) = -6*y**2 + 3*y - 3. Calculate d*o(m) + 5*a(m).\nAnswer: m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 4. Let v be k(12). Let q = 9 + v. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b - 8. Let j = -9 + 14. Let n(w) = -7 + 11 - j. Let f(p) = -a(p) + 2*n(p). Differentiate f(u) wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5683395279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3) + (-14)\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612953 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than 218\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2310 + 3021?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 2, -0.04, -12, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 75 = -3*f, 3*n + 439*f = 434*f + 70. Solve -3*x + 0 = n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1.14.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1843208 and -107\/6668076.\nAnswer: 226714584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*o - 102*o = 2*l - 10, -4*l - 5*o + 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957682?\nAnswer: 2, 3, 7, 13, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 596*d**4 - 584*d**4 - 2 - 3*d**3 + 4*d**3 - d in the form z + u*d**4 + g*d + a*d**2 + h*d**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 + 135. What is the hundreds digit of (x + 30)\/((-1)\/(-1089))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 35*o**2 - 199*o + 520. Calculate q(39).\nAnswer: -1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (19 + (6 - 11) - 16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 3*r**5\/10 + r**4 - 317*r**3\/6 + r**2 + 232*r. What is the second derivative of j(b) wrt b?\nAnswer: 36*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:27 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7 + 1 + 7*k**2 + 1. Let r(g) = g**2 - 1. Suppose 50*o - 7 = 51*o - 3*i, 5*o + i = 29. Determine o*r(d) - f(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(99) + -1*sqrt(99))*2)\/(sqrt(81)\/(sqrt(18)\/sqrt(2)))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4152 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -1)*(-47)\/(-4). Let z = -112 - w. Let v = z - -125. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366395 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3194*o**3 + 3232*o**3 - 6407*o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 24 + 4*p + 22.\nAnswer: -8*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13 = 3*j, -5*j + 5*o - 19 = -j. Is -4*1 + (-24)\/j + 177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832922?\nAnswer: 2, 19, 23, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/3 and -37\/1995.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3, -2.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -515462*z + 7731939. Calculate b(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 3. What is the second derivative of 17*z + 2*z**5 - 6*z - 6*z**l wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, 5, -0.5, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/7)\/u)\/((u\/(u*u**(1\/4)))\/u)*((u\/(u**(-12\/5)*u*u))\/u)\/u**(11\/3))**(1\/35) assuming u is positive.\nAnswer: u**(-1027\/14700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000003 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31095.54 and -145?\nAnswer: -4508853.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.7, -3, -184, 3, -2\/15 in ascending order.\nAnswer: -184, -3, -0.7, -1\/2, -2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r + 2*d = -8, -5*d - 5 = 0. Solve r*a + 4*l - 23 = 0, 2*a + 0*l - 22 = -4*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1536 by -2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 18, 56, 130, 252, 434, 688?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19769 + 19205. Is -563 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-162))\/(15\/(-12))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537.7706 litres to millilitres.\nAnswer: 537770.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 662230 and 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/15)\/(0 + (-2)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -7 - 0 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i - 15 = 0. Let n be -2 + -2*(-2 + 3). Let w = n - i. Solve -z - w = 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/6*(-4)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-6) + 1)*(-42)\/(-112). Let q be (-23 - -22)\/(-1 + 6). Let g = -179\/3 - -59. Which is the nearest to q? (a) -0.1 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59965?\nAnswer: 5, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + h**2 + (5*h - 2*h - 4*h)*(-2*h - h + 5*h) + 5546954 - 5546954 + 277*h - 3*h**2.\nAnswer: -4*h**2 + 277*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18958949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15008, 14976, 14944, 14912, 14880?\nAnswer: 14848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**3 - 16*d**2 + 134*d + 17. Determine j(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/111197117 or 0?\nAnswer: -15\/111197117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h + 2*g + 124, 4*g + 16 = 0. Let t = h - 52. Let y = t + 150. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6152)\/(-16))\/(2\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/45 and 10\/21?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5093*g + 3 - 4985*g)*(0*g + 4*g - 5*g) to o*g**2 + m*g + p and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743015977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -132*k + 28*k - 76*k + 26. Let j(i) = -211*i - 637. Let f be j(-3). Is y(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by 3\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*6\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2\/5, -5 in increasing order.\nAnswer: -20, -5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 18\/65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1676*v**2 + 3730*v**2 + 7870*v**2.\nAnswer: 13276*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 - 18 - (-20 + 12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 8:12 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/17, -0.4, -2, -4, -54?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090052 < 3090054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 17 - 71. Solve -3*s + 12 = -n*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 761046?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s + 9565*s**3 + 27*s - 48969*s**3.\nAnswer: -39404*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*1\/(-2)*2. Suppose w - 6 - m = -x, 5*w - 5*x = 75. Let g = 3 + 1. Solve 11 = -5*n + g*p + 32, 3*p - w = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 4*f**2 + 2*f + 5. Let h be u(-4). Let n be (-56)\/(-84)*(1 - 4). Sort h, n, 4.\nAnswer: h, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22078\/(-171) + 3\/27. Let u = 333 + i. What is the highest common divisor of 272 and u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101630, -203254, -304878, -406502, -508126, -609750?\nAnswer: -711374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.868 + -16.868. Sort -0.068, f, 2\/23.\nAnswer: f, -0.068, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-16)\/2)*(-3)\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41133120 (base 5) to base 9.\nAnswer: 557464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 0 + (sqrt(17) - -4*((-2 + sqrt(17))**2 + sqrt(17))).\nAnswer: -4*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 1:58 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 2*f**2 + 13*f + 15. Let t be u(-2). What is the greatest common factor of 37 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1383 * -1098\nAnswer: -1518534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20.4, 0.4, 5 in increasing order.\nAnswer: -20.4, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 33*w**2 - 37*w + 2254. Calculate v(32).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2744405?\nAnswer: 5, 263, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11 = -51*l + 49*l, 5*h = -l - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) - (sqrt(5)*-1)**2*-6) - ((sqrt(50) - sqrt(450))\/sqrt(10) + -2*sqrt(5)*6).\nAnswer: 17*sqrt(5) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 9}. Give prob of picking 1 w and 2 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4043 by 40.\nAnswer: 4043\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 + 5*o - 5. Suppose 0 = 4*z - 3*h - 27, 4*z - 16 = -h + 7. What is k(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 12 + 3 - 10*g + 3*g. Suppose 0 = 2*n + 4*a - 18, -n - 19 = -2*a - 3*a. Let t(h) = h + 1. Calculate n*j(s) + 9*t(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*u - 0 - 2, 4*q + u = -13. What is the closest to -2 in -1\/4, 1\/3, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53415440 + 147828069 - 33496174 = 245*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 + 42. Let j = c - 144.11. What is the smallest value in 0.1, -3\/2, j?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 4\/344318703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.5 from 72.9.\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q - 13. Suppose 0 = 3*y + i - 123, 3*y - 117 = -0*i - q*i. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -59.029. Let y = 0.001 + k. Suppose 5*t - 6 + 1 = 0. What is the second biggest value in -0.2, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 6}. What is prob of picking 2 t and 2 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = 2*v, 3*v - 4*p + 5 = 21. Calculate the lowest common multiple of v and 130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 - 1\/3*m**3 - 4*m + 1\/2*m**2. Let t be y(2). Which is greater: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -294, -424, -558, -696, -838?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-7480)\/(-60)))\/((-7)\/(-784)*-4)\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 977201.5 minutes in seconds?\nAnswer: 58632090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96009057 is divided by 217?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1442\nAnswer: 7210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 15. Suppose s - z = 86. What are the prime factors of s?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 169*u**2 - 55*u + 20. What are the prime factors of b(7)?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**3 - 118*v**2 + 17*v + 7. Calculate g(13).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**(1\/2))\/a*a)\/a*a**(-3)*a)**36*(a**(1\/2))**(19\/6)\/(((a**1\/a)\/a)\/(a*a**(1\/8))) assuming a is positive.\nAnswer: a**(-1207\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*t + 15, -3*m + 5*t + 11 = 4*t. Let k = 8 - 4. Solve 0 = k*c + m*c - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjggjg. What is prob of picking 2 g?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 375*x**2\/2 - 46875*x\/2 + 1953125\/2.\nAnswer: -(x - 125)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1625?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 939074, 939075, 939076?\n\"Answer: u + 939073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/28 and (-6480)\/10752*35\/(-510).\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and (-12)\/9*(2 + -11)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*i = -10 - 98, 5*i = -4*z - 234. Let u be 14\/8 - 14\/z. Let o = u - -20. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.003233249*-1\nAnswer: -0.003233249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = -a. Suppose -a*n = 5*p - 115, n + n = 0. Let m = p + 71. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Let g be m(1). Let w be ((-3)\/(-2))\/(1\/2). Suppose -f = -w*f. Solve -5*b - 4*k + 7 = -g*b, f = 3*b + 3*k - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 141?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 9 - 25. Solve -m = -n*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + (79 - 20) + (7 - 95).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 10 = 2*o, -z - 20*o - 1 = -17*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19448477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/3 in 36, -3\/7, 0.4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 18, k: 1}. Give prob of sequence uuu.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/5)\/((d\/((d*d\/(d\/(d\/(d*d**2*d))*d))\/d*d*d))\/d))**(13\/6) assuming d is positive.\nAnswer: d**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 28 = 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 + 123014*r + 369051 = 0.\nAnswer: -3, 123017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 20. Is (-4)\/k - 174\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**9\/1008 + d**8\/140 + d**7\/56 + d**6\/60 + d**3\/6 + 8*d**2. Let t(v) be the first derivative of f(v). Factor t(z).\nAnswer: 3*z**2*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20 - -27) + -10)*8\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d - 7*d + 31*d + 3*d in the form b*d + z and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77599 - 76978 + 3*g - 2*g - 3108*g**3 wrt g?\nAnswer: -18648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 2*y**2 + 4*y**2)*(0*y - 9*y + 2*y) + (y**2 - 2*y + 2*y)*(-9*y + 7 - 7) + 2*y**3 - 3*y**3 + 2*y**3 + 2*y**3 + 1 - 1.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 2156*q\/5 + 5522976\/5.\nAnswer: -2*(q - 2286)*(q + 1208)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319 + 4783\/15. Let q = -2816.6 + 2816.2. Which is the nearest to q? (a) 0.2 (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*p = 3*p - 3, 3*n + p = 9. What are the prime factors of ((-52)\/(-3))\/((-15)\/(-360)) - n?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065 is divided by 831?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150723119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.1. Let m = -181 + 258. Let v be (-6)\/(-33) - 25\/m. Which is the closest to s? (a) v (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3. Let f be u(-1). Suppose 0 = -b - 3 + f. Let w(o) = -4*o - 2. List the prime factors of w(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*g + 3854 = 0, -c = g - 430 - 535. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -66, -127, -184, -237, -286, -331, -372?\n\"Answer: 2*k**2 - 67*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*n + 192 = a, -5*n = -2*a - 122. Let d = a + 33. Let t = d + 46. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -16. Let p = -1255 - -5047\/4. Find the common denominator of 92\/(-3)*m\/(-96) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 4\/5, 0.04, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**2 + 2*w - 8. Let y(x) = 7 - 23 + 11 + x + 7*x**2. What is 5*j(b) - 8*y(b)?\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 868018*r - 10416211. Determine n(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(30) - (sqrt(30) - sqrt(90)\/sqrt(3))))\/(sqrt(10) - (sqrt(40)\/sqrt(64) - sqrt(10))).\nAnswer: 24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 6\/7 (c) 16 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5 + 49*u**4 + 619*u**3 - 2037*u**2 - 61740*u - 111132 = 0 for u.\nAnswer: -21, -14, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165444 and 25449.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, p: 3, x: 3, c: 4, g: 3, r: 1}. Give prob of sequence rcxr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2 + 56276*d + 1405650 = 0?\nAnswer: -28113, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 210*q + 3*q**2 - 201*q - 2*q**2 + 12. Let h be g(-8). Calculate the highest common divisor of 44 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59128 and -33?\nAnswer: -1951224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 6*y - 3. Let i be a(-5). Let j(m) = 32*m**2 + 2*m + 0 - 1 - 2*m**i + 0*m. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -30*w**2 - 349*w + 2472. Give u(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1830, 1776, 1708, 1620, 1506?\nAnswer: 1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -12200?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:21 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v - 18 = 0. Let k(b) be the second derivative of b**4\/12 + 5*b**3\/6 + 3*b**2 - 2*b. What is the smallest common multiple of k(v) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/60 - 5*a**4\/24 - 2*a**3\/3 + a**2 - 6. Let n be 4 - (-1)\/(2\/4). What is m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjyyj. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.007 - -0.007. Which is the second biggest value? (a) j (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-21 + 16 - 12 - -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1420 + -33553?\nAnswer: -32133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-3)\/6) + 2. Suppose -8 = 4*q, w*q = -0*i + 2*i - 832. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 + -220. Factor -8 - 12*m - 48*m**4 - 9*m**3 - 9*m**2 - 3*m**3 + 65*m**2 + 14*m**5 + 14*m**x - 4*m**3.\nAnswer: 4*(m - 1)**3*(m + 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 2. Let p(d) = 6*d - 3. Let w(m) = 5*h(m) - 4*p(m). Let g = -17 + 20. Suppose 26*f = 25*f - g. Calculate w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3\/7 - 40*y**2 + 2950*y\/7 - 7500\/7 = 0.\nAnswer: -150, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288843 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16983*z - 12457.\nAnswer: -16983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*(-4*(0 + sqrt(684)) + 0 + -2*sqrt(684)))**2 + sqrt(684)*-4 + 4 + -2*sqrt(684) + -1).\nAnswer: -393996 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 622, 1242, 1866, 2494?\n\"Answer: 2*w**2 + 614*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -52*(-16)\/(-2 + -30)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + g)*(3*g**2 - g**2 - 3*g**2) + 2*g**3 - 4*g**3 + 0*g**3 + g - 2*g**3 - g + 11*g**2 + 17*g**3 + 2*g**2 - 15*g**3.\nAnswer: -3*g**3 + 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/36)\/k**(2\/17))\/(k**(2\/163)\/(k\/((k**(2\/73)\/k*k)\/k))) assuming k is positive.\nAnswer: k**(13216501\/7282188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00532950473 rounded to five decimal places?\nAnswer: 0.00533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y - 5*n - 6, 0 = -2*y + 5*n + 63. Let a = -7 + 41. Let x = a - y. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4385655 to the power of 1\/2, to the nearest integer?\nAnswer: 2094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 7913*p**2\/3 + 15657848*p\/3 - 15649936\/3.\nAnswer: (p - 3956)**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10538*j**3 + 9*j**2 - 9*j**2 - 10540*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + -1*(4 + -2). Let m = q - -11. Let x be ((-2)\/1*1)\/m. What is the second smallest value in 0.4, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 3 + sqrt(684) + (sqrt(171)*3 - sqrt(171) - sqrt(171))\/sqrt(9) - 3*sqrt(152)\/(-2*sqrt(288)).\nAnswer: 3 + 33*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2304) - (1*sqrt(2304) - sqrt(2304))) + sqrt(2304))\/(sqrt(72)\/((sqrt(9) - sqrt(9)*-2) + sqrt(9))))**2 - (-4 + -4 + sqrt(242) + -1).\nAnswer: -11*sqrt(2) + 18441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 454642 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/635 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**4\/18 - 74*f**3\/27 - 77*f**2\/9 - 26*f\/3 + 1310. Factor d(l).\nAnswer: 2*(l - 39)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324076, -647910, -971744, -1295578, -1619412?\nAnswer: -1943246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o - 2*o**2 + 2*o - o + 10*o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 5)*(-19 - -18). Put 3, 4, z in ascending order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-24))\/(3\/3714) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 22. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 - 2856*s\/5 + 222296\/5.\nAnswer: -2*(s - 74)*(s + 1502)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 34003662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/483 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/60 + h**4\/2 + 2*h**3\/3 + 2*h**2. Let y be 2\/(-4) + (-400)\/32. What is the units digit of b(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965671 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/46 + 347\/230. Let u = 115 - 11. Suppose u*t + 3 = 107*t. Which is greater: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 2*m**3 - m**3)*(-4 + 3*m + 0*m + m).\nAnswer: 4*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21222200 (base 3) to base 11.\nAnswer: -4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/24 + 10*f**2. Let d(t) = 200 - 26*t**2 + 6*t**2 - 200. What is d(a(n))?\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 2, q: 1, k: 2, n: 1, z: 1}. What is prob of sequence kkwn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.03924 rounded to the nearest integer?\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656*t + 1635*t = 147. Let c(u) = -u**3 - 8*u**2 + 2*u - 9. Give c(t).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 w when three letters picked without replacement from {w: 2, s: 1, d: 1, b: 1, e: 1, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*i - 4)*(-1 - 1 + 0)*(3 + 3 - 8).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89 + x**4 + 8*x**3 + 0*x**3 + 6*x**2 + 8*x + 82 - 16*x.\nAnswer: (x - 1)*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 7*p**6\/40 - 13*p**3\/6 - 15*p**2. Find the first derivative of o(t) wrt t.\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (5 + (-10 - 1) - -29)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 + 9*j - 14 + 3*j**3 + 13*j**2 + 4*j**3 - 2*j**3. What are the prime factors of w(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 82 + 160 + 945*r.\nAnswer: 945*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-35 - -1)*((-16)\/4)\/8 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, y: 10, r: 2, s: 5}. What is prob of picking 1 s, 2 y, and 1 r?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:38 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95690*u = 95554*u + 5032 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -3. Let k(r) = 12*r**3 - 48*r**2 + 8*r - 12. Let n be k(4). What is the tens digit of (2\/(n\/h))\/(6\/128)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(400) + (sqrt(400) - sqrt(400)*-1 - sqrt(400) - sqrt(400))*5))\/((-2*sqrt(88) + sqrt(88))\/sqrt(11)*-6).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 50 = -0*r. Let n = 6 + -3. Let i = n - 1. Solve 0*c = -4*c - 2*m + r, -i*m = c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffskzusun. What is prob of sequence sfu?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 + 2*b + 2. What is a(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/324865 and -81\/30220?\nAnswer: 1299460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 403*g**2 + 6337*g + 15763. Calculate z(-216).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1348285 and 52616.\nAnswer: 10786280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 5*q + 16 = -7*u, 0 = u - 4*q - 17. Sort 17, -4, 1, u in descending order.\nAnswer: 17, 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1052 = -5*r - 4*f + 818, 2*f + 766 = 2*r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 6*o**2 + 5*o - 4. What is the least common multiple of 2 and f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2*y**2 - 11 + 53*y + 5.\nAnswer: 2*y**2 + 53*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.2 and 2.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.452 + -35.452. Which is the closest to 3? (a) -4 (b) i (c) -2\/839\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 0*1\/(-2). Let x = -13 - -10. Let q be x\/12*4\/(-5). Is o greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -354, 0, 5, 6 in ascending order.\nAnswer: -354, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -2*w + 80. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/24*(-1 + (-16)\/(-12)). Which is the nearest to 0? (a) 6 (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 154\/71, -6, -0.1, 5, 1\/19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i**2 + 8*i + 9. Let u(s) = 8*s**2 + 5*s + 5. Let y(z) = 3*m(z) - 5*u(z). Calculate y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 8, l: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 105*m - 99. Let j be c(-12). What is j rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6) + 160\/(-30). Let l(q) = -5*q**2 - 7*q. Let f(o) = 3*o**2 + 4*o. Give r*l(j) - 7*f(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78, 244, 760, 1458, 2326, 3352?\n\"Answer: -2*k**3 + 109*k**2 + 9*k - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + 1)*3 - (sqrt(45)\/sqrt(144) - sqrt(5))) + 2)**2 + (sqrt(8640)*-2)\/((sqrt(12) - -1*sqrt(12))*1).\nAnswer: -19*sqrt(5)\/2 + 141\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3588 - -3911. What are the prime factors of w?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7164196?\nAnswer: 2, 13, 311, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*p + 575*p + 35218 = -70*p - 16827 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1246, -420, 1814, 6158, 13314?\nAnswer: 23984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.004 in 7, -7, -3\/13, -4, -5, 5?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 27*a - 6 - 2*a to the form u + d*a and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + -1)**2 - (sqrt(3) + sqrt(3)*-2 + -1).\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 965.52428 to one dp.\nAnswer: 965.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-396 + 32 + 115 - 132)*(-10*f**3 - 7*f**3 + 5*f**3) in the form s*f + y*f**2 + j + w*f**3 and give w.\nAnswer: 4572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7430207.20999983 + 7430207. Let d = 33.21 + -33. Let i = d + f. Round i to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 2*v = 0. Which is the closest to v? (a) 1\/4 (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19409274?\nAnswer: 2, 3, 17, 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101000011 (base 2) in base 12?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + -0.37. Let w = 695 + -811. Sort h, 0, w in decreasing order.\nAnswer: 0, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 2, d: 2, n: 3}. What is prob of picking 2 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + -3*(-2*6*sqrt(102)*-1)\/((sqrt(18) + (sqrt(72)*2)\/sqrt(4))\/sqrt(3))).\nAnswer: -24*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 24c?\nAnswer: -24e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - 1 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -x + 13, -4*x + 5*j - 25 = -72. What is the remainder when 69 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 79352 = -4*u, 9*u - 16*u = 3*v - 138857. List the prime factors of u.\nAnswer: 5, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 49, 67, 81, 91, 97?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -72\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -2. Let x(l) = 2*l + 18. Let u(j) = j + 9. Let d(i) = 5*u(i) - 3*x(i). Let g be d(r). Sort 5, g, 1.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46*880\/(-2024) + 1*61?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 39110874?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/36*(-324)\/(-936)*13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**7\/1260 + g**6\/240 + g**5\/120 - 17*g**4\/6 + 40*g. Let x(s) be the third derivative of z(s). Is 5 a factor of x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13+25.5\nAnswer: 25.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16845 - -16861. Let v(w) = 166*w**3 + 2*w**2 - w. Let o be v(1). Suppose 0 = -4*d + o + 73. Calculate the remainder when d is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77798149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4850878, -4850877, -4850876, -4850875?\nAnswer: -4850874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 3*y + 4*y**2 + y - 1 + 0. Let r = 2861 - 2857. Calculate u(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + x = 15, -3*x = -4*c - 4*x + 27. Let f = -8 - -11. What is the remainder when c is divided by (7 + -5)*f\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-4 - -3) - (-174 - -176)) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112321101 (base 4) in base 11?\nAnswer: 3923a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6380*m**3 - m + 5570 wrt m?\nAnswer: -19140*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 30. Let y = 15 + -10. Let i = y - t. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13461 is divided by 899?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + b**2 - 6*b - 11. Let l(s) = s**3 + s + 2. Let y(h) = -3*k(h) - 15*l(h). Let x(w) = 6*w**3 + 7*w**2 - 7*w - 7. Give 3*x(f) + 7*y(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**(5\/7)*(v**(2\/7))**(-32))**(2\/61) assuming v is positive.\nAnswer: v**(-124\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9074 less than -9069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 - 14*x + 240. Let a(w) = w**2 + 3*w - 48. Calculate -14*a(q) - 3*z(q).\nAnswer: -2*q**2 - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1345179 and 326104?\nAnswer: 10761432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxjj when four letters picked without replacement from {x: 2, j: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 1507*j**4\/4 - 73*j**3\/3 + 3*j - 1830. What is the third derivative of l(q) wrt q?\nAnswer: 9042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2 - 93*k - 69. Give f(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43870 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3286993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52335)\/(-18) + (-6)\/(-4). Factor -p - 5*f + 5*f**2 + 2909.\nAnswer: 5*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 6 - -7 - (-3 + -8 + -23) - -9.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 845 - 751*k**2 + 1679*k**2 + 775*k**2 + 1697*k**2 + 2110 wrt k.\nAnswer: 6800*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749654102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-20))\/((-6)\/(-38700)*-3). Suppose 5*r = 5*g + i, 2*g - 1038 = -2*r + g. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2 - 10 - 39*o**2 + 16.\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21886 + -6048. Is (-3)\/4 + (-1)\/((-8)\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-5\/6))\/t**9)**(-18\/5))**37 assuming t is positive.\nAnswer: t**(4773\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.36 >= -0.041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 13*z**2 - z. Let n be (-2)\/((-5)\/((-130)\/4)). What is the units digit of v(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*z - 1, 14*z = 12*z + 4*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175378.855189 - -136.\nAnswer: 175514.855189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*p**2 - 289*p**2 + 151*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((26\/(-975))\/(158\/(-1975)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from totoooototooootooto?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 990965 to the power of 1\/2, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*2*(-15)\/40?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 501\/(-3) + (-14)\/(-2). Let r = p + 192. What is the smallest common multiple of 12 and r?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 44 - y**2 + 413)*(2*y**3 - 3*y**3 + 3*y**3) + (3 - 3 + 2*y**5)*(-2 + 0 + 3) + (-3*y**3 - y**3 + 2*y**3)*(2*y - 2*y + 2*y**2).\nAnswer: -4*y**5 + 738*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7925027 is divided by 727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = 3*u, 4*u = -0*m + 2*m + 2. Let r be -4*1 - (m + -69001). What is r rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 433, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - 1386\/(-45). Suppose t = 5*u - 9. Calculate the highest common divisor of 64 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228007*l*o**2 + 15*l*o - 6*o**2 - 6055*o wrt o.\nAnswer: -456014*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 0*a**3 + 0*a**3 + (-25*a**3 + 5*a**3 - 25*a**3)*(-1 + 1 - 1) + (-2*a + a + 3*a)*(1 + 6 - 6)*(3*a**2 + a - a).\nAnswer: 53*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u**(-32)*u)\/u))**49\/((u*u**23*u*u*u*u)\/u*u\/(u*u\/((u**(2\/5)\/u)\/u)*u)) assuming u is positive.\nAnswer: u**(8213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 2. Let h be a(3). Let v be (-1673 - h) + -2 + 5 - 1. Is v\/(-25) - (8\/10)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001000100 + -1100001110000011?\nAnswer: -1100110111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 46*g - 115. What is d(-44)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2520048?\nAnswer: -1\/840016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {j: 5, m: 2, q: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -10) + -25 + (-30 - -28) - -28.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 60190*q + 24272304. Give d(406).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6167899.3 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*q - 13460 - 7171 = 0 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 12:47 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2374*n**4 + 2085 wrt n?\nAnswer: 9496*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-30)\/(-4)*-10?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -285729*o*p**4 + 3*o*p**3 - 40971*o + 2*p - 10 wrt p?\nAnswer: -1142916*o*p**3 + 9*o*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48659670858224 from 3.\nAnswer: -48659670858221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 6:05 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10533 = 5*i, -9*s + 4*s - 3*i + 52577 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*b - 20, -2*n - 3*b + 18 - 33 = 0. What is the nearest to -0.2 in n, -0.2, 5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v - 3*v)*(-41*v**3 - 1214*v + 1214*v) + 0*v**2 - 3*v**4 + 0*v**2 + (0*v**2 - 3*v**2 + 5*v**2)*(-v**2 - 4*v**2 + 4*v**2).\nAnswer: 77*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2) - 114\/(-4). Suppose 5*d + x - 4*x - a = 0, 3*d + 1 = -2*x. Suppose -s + 75 = -o, -54 + 437 = 5*s + d*o. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/7 + 130*u + 28096\/7 = 0.\nAnswer: -878, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262270015.\nAnswer: 5, 7, 19, 457, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 346 + 3724. Is 406 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1619725*f - 51831203. Give i(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose r = v - 4*v + 30. Suppose -v = s - 4*z, 3*z + 0*z - 6 = s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2996)\/(-420) + (-8 - -1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28034\/(-13 + 3 + 12)?\nAnswer: 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 + -153. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**3\/3 - z**2 - z - 2. Let g be 1*(-12)\/(-30)*-5. Give v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 376 + 20?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3381?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, 51, 1613, 4989, 10779, 19583, 32001, 48633?\nAnswer: 70079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, 1 z, and 1 i when four letters picked without replacement from {a: 1, i: 4, b: 1, w: 4, u: 1, z: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 13*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-6)*(-15)\/(-10). Suppose 16 = -3*l - 2*c - 0, -5*l = -2*c + 16. Is o\/(-8) - 2362\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 0.71. Sort -0.26, r, 0.5.\nAnswer: -0.26, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 + q - 1. Let i be w(4). Let u be ((-4)\/(-2) - -2)*i. Suppose 133 = j + 49. What is the greatest common divisor of u and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -11 + (2 - 2) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*4.9\nAnswer: 0.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 2. Let n be 3 - (-14 - 2\/(-1)). Suppose -5*v = -4*q - n, -2*v + q + 6 = 2*q. What is the least common multiple of v and k(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25000\/(-1)*(-24 - -4). What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.04 - 5.7688. Let y = 0.3 - j. Round y to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2984 * -24085\nAnswer: 71869640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvjjddtvdjtdvvzdzdd. Give prob of sequence zz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*o - 19*o + 2*k - 2346, 0 = -2*o + 2*k + 2346. List the prime factors of o.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 160.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = 12*w + 124280. Round w to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - 3*x + 3*x)*(6 - 2 - 1)*(-1 + 2 - 2) as t + q*x and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 5*w + 4*w, -5*d + 5*w - 15 = 0. Let v = 44 - 44.1. Which is the closest to v? (a) -5 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13539 and 2.\nAnswer: 27078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 u when three letters picked without replacement from puugpyfguppcpugpyuc?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -2, 15, 40, 73, 114?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 22. Let b be j(10). Suppose b*y - 46 - 92 = 0. Let u = 66 + y. What is the highest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 361\/5 and -0.34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(13\/4))**(27\/2)\/(a*a\/(a\/(((a**8\/a)\/a)\/a)))**(-1) assuming a is positive.\nAnswer: a**(399\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*v - 0*v - 87, 0 = -5*s. Let z = v - 9. Let d(c) = -14*c**2 + 45*c**2 - 12*c**2 - z*c**2 + 8*c + 6. What is d(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-13*8\/(-1872).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {x: 8, w: 2, g: 6, a: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Let q(p) be the third derivative of 0*p**3 + p**2 + 11\/24*p**4 + 0*p + 0. Determine q(h(j)).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v - 24 = -5*g, 3*v + 18 = 3*g. Solve 3*d = g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**3 - 127*n**2 - 4*n + 4. Let y(b) = 11*b**3 + 256*b**2 + 7*b - 7. Determine 7*w(l) + 4*y(l).\nAnswer: 2*l**3 + 135*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 459909?\nAnswer: 8738271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 7*b**2 - 9*b + 6. Let o be n(5). Is o > 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 2, k: 1, m: 1, x: 1}. Give prob of picking 1 k and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34*-2*1*1\/(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/7)\/(-1) - (-752)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/22689 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10058951*g**2 - 125868*g + 7404. Let a(k) = 6792*k**2 - 85*k + 5. Give -7404*a(c) + 5*d(c).\nAnswer: 6787*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -4 (c) -3\/2 (d) -0.4 (e) -48\/43 (f) -1\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23080709357581 - 0.3.\nAnswer: -23080709357581.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -1\/1155*p**7 - 4\/165*p**5 - p**2 - 1\/132*p**6 - 1\/33*p**4 + 0*p**3 + 0*p + 49. Factor s(j).\nAnswer: -2*j*(j + 1)*(j + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 232. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 12*v**2 + 52*v - 229. Give p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16*z + 79. Let j(o) = -7*o + 40. Let u(n) = -2*g(n) + 5*j(n). Let f be u(20). What is the smallest value in -4, f, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 - -53.08?\nAnswer: -95.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -89077, -4, -2\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40802 - 19*w + 40802 - 4*w + 21*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 2\/(-2) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1244 = -412*v + 130*v + 10832 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/2541)\/(78\/(-99)).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1395 + -0.09.\nAnswer: 5.0495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**3 + 6*z**3)*(-40*z**2 + 19*z**2 + 25*z**2).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/57456 and 1\/56?\nAnswer: 57456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-5 + ((-30)\/8)\/((-675)\/1620)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**0)**(-34)\/(i**(-1\/11)*i*i\/((i*i\/(i*i**(-2)*i*i))\/i)*i))**(8\/15) assuming i is positive.\nAnswer: i**(-416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6753.0529 to the nearest integer.\nAnswer: 6753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 80. Let w = p + -11. Let j = -11.275 - w. What is j rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8148.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryy when three letters picked without replacement from {r: 2, t: 1, y: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 4*a - 24, -3*c = 3*a. Let u = 2 + -2. Put a, u, -7 in descending order.\nAnswer: a, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, f: 1}. What is prob of sequence nfn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1952\/(-28) + (2 - (-16)\/(-7)). Let x be (-98)\/p + (-1 - 1). Let t = 0 - 0.2. Which is the second biggest value? (a) 5 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j + 751 + 301 = -292*j. Put j, 4, -5, 359, 3 in ascending order.\nAnswer: -5, j, 3, 4, 359","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m - v - 0, -2*m + 3*v - 10 = 0. Let s = 1 - m. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5*c + 70, -4*c = -270*x + 256*x + 34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 at least -1468\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 555*r**5\/4 + 626*r**4\/3 - 296*r + 4. What is the third derivative of m(s) wrt s?\nAnswer: 16650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186259, 182886, 179513, 176140?\nAnswer: 172767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14792154851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h - 486 = -54*h. Calculate the highest common factor of 27 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 9:12 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 1815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.36344 rounded to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.108 * -518.\nAnswer: 55.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63464 is divided by 103.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = -5*k - 22, l + 10 = -3*k. Let t = 5\/56 - 19\/8. Is k at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {a: 3, x: 2, s: 1, f: 4, v: 1, b: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**5 + 3015*s**4 + 151570*s**3 + 1824990*s**2 - 4771575*s - 6448005 = 0?\nAnswer: -549, -29, -27, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3741821972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p + 4*t - t, 3*p = 5*t + 52. Solve -2*m - m = p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*d + 0*d - 20 = 0, l = 2*d - 9. Let b = 4 + 0. Calculate the smallest common multiple of b and (4*-1)\/(3 + l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (-2 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 0, 2*s + 2*s = -3*r + 26. Suppose r = 4*o - t, 2*o + 0*t + 2 = 4*t. Find the second derivative of 38*k - 3*k**3 + 0*k**o - 47*k wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 31, 5, -0.05, -0.4.\nAnswer: -12, -0.4, -0.05, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + 234?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/4 - 35*i**4\/8 - 1226*i**3\/3 + 2*i**2 + 788*i. Differentiate h(z) with respect to z.\nAnswer: 30*z - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 11, 3\/5, -32, 3, -5\/7, 0.0096?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.2 + 6.85. Let u = 22.45 + r. Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1182*u + 1. Let g be x(-8). Let o = -14185 - g. Round o to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 121*s**5\/10 + s**4\/12 + 176*s**2 - 201*s. Differentiate y(h) with respect to h.\nAnswer: 726*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241341506.3000063 - 241341492. Let w = -14.3 + g. What is w rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*p - 24. Suppose 0 = p*k - 7*k + 108. 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: -1262820 divided by -1\nAnswer: 1262820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/36 and 2*(-2054)\/600 + 6.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -40. What is the remainder when 68 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-77)*(-105)\/(-10))\/(0 - 4).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 147425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2)*(-320)\/(-200). Solve -l = m - 0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -603853*r**3 - r**5 + 4*r**4 + r**5 - 3*r**5 + 12624*r**2 + 604417*r**3 wrt r.\nAnswer: -180*r**2 + 96*r + 3384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**5)\/(j\/(j\/(j*j*j**(-10)))*j) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -435 + y + 875 - 440. Let a(r) = r - 3. What is g(a(m))?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1900)*1)**2 + -4.\nAnswer: 9496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 19. Suppose -o - 4*o = z. Let w(i) = 17*i**2 + 2*i + 1. What is the lowest common multiple of 16 and w(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 45. What is y(0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q**2 + 183*q - 50. What is x(-15)?\nAnswer: -6845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ddac (base 15) to base 8.\nAnswer: 1725473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 66028, 66018, 66000, 65974?\n\"Answer: -4*h**2 + 2*h + 66030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 1870936*p**2 - 1870939*p + 3741874.\nAnswer: (p - 1870937)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -2*j**5\/55 + 19*j**4\/22 - 194*j**3\/33 + 45*j**2\/11 + 324*j\/11 + 342. Let d(s) = 0. What is s?\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 12:51 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 b, and 1 k when four letters picked without replacement from mkgllmlmkmbg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 234351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 + 4*k**2\/3 - 4*k\/3.\nAnswer: -k*(k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5451 = 361*i + 8817 + 28028 + 16980 for i.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 5*v - 30*v**2 + 27*v**2 + (3 + 1 - 5)*(-2*v + 2*v + v**2) to f*v + i + q*v**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhb when three letters picked without replacement from {y: 1, w: 7, h: 1, b: 5}.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2995 - 53963\/18. Calculate the common denominator of y and -2\/11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 3*v)*(0*v + 5*v + 0*v) + 1366 - 1071*v**2 - 1366.\nAnswer: -1081*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068*l + 1268*l = -200. Let j = 14.7 - -2.3. Which is the nearest to l? (a) -3 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 453.7 - 453.3409. Round j to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1463 - 1450. Which is the closest to h? (a) 0 (b) 2\/7 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2276995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w - 14. Let r(h) = 3*h + 4. Let v(l) = -2*q(l) - 7*r(l). Let z(a) be the first derivative of a**3 - 1. Determine z(v(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -5. What is the remainder when 2 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 27 = -3*j, 2*h = -4*j + 5*j - 4. Solve 0*b + b = -3*a + 9, 0 = 2*b + 2*a - j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219147878.\nAnswer: 2, 3359, 32621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 650.4 - 650.3999991342. Round n to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - l + 12 - 13. Calculate q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - p - 11, -2*y = -y + 2*p + 4. Suppose 4*u - 152 = 2*u - 4*d, -y*d = 3*u - 236. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away -37.994?\nAnswer: 21.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1130? (a) -4 (b) 0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/55 - 35\/(-11). Suppose 5*w + 5*a - 20 = 0, -14 = -o*w + w - 5*a. Suppose 0 = w*b + 5*b - 56. What is the lowest common multiple of 11 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3103 - -3102. Which is smaller: -9\/32 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 5*d = 115, 212*d = 216*d + 20 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 158 = 3*g. Suppose 5*l = 21 + g. Let y = l - -17. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 + 1. Let y be s(-2). Suppose 2*i - 4*l = -2, -6 = -2*i + i - y*l. Is i != 2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14 - j**3 - 9 + 8. Let y(a) = -3. Calculate 2*p(i) + 9*y(i).\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38961 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 3*u - 5. Let c(h) = h - 1. What is -10*c(t) + 2*z(t)?\nAnswer: 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 33, 72, 127, 198?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1880 = -4*i, p + 940 = 2*i - 2*p. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 2*a = -71, 3*k - 213 = -5*a. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82663 is divided by 83.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-8 - -12) + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2055567557 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616000?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/36)\/(2\/(-440)). Suppose 10*u - y = 670. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*q - 4 - 60*q + 189*q - 56*q - 4 in the form y*q + h and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**5 + 373*w**4\/2 + 561*w**3 + 53*w**2\/2 - 177*w = 0.\nAnswer: -59, -3, -2\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 v when four letters picked without replacement from {v: 3, m: 1, h: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2. Let b(l) = -4*l. Let p = 5 - 9. Let u(f) be the first derivative of -2*f**2 - 227. Let g(c) = p*u(c) + 6*b(c). Give g(a(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/16618 and 36\/35.\nAnswer: 83090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148259133 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**7\/70 + 3*o**6\/8 - 33*o**5\/20 + 17*o**4\/8 - 2*o**2 + 3*o. Factor w(v).\nAnswer: 3*v*(v - 1)**2*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 30, 0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose 3 = z*c - 33. Suppose 16 = 3*w - 2. Solve -2*t + w*t = -c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 38?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 - 8*f**3 + 6*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80358*s = 80357*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddeddddldeeedlaeh. What is prob of sequence del?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*b = 192, 4*d + 0*b = -4*b + 364. Let h = d - 23. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (45\/180 + (-75)\/(-20) + 2))\/(-22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121452 divided by 6.\nAnswer: 20242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 8. What is n(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 - 352?\nAnswer: -30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2645 + 37?\nAnswer: -2606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8076.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000902 rounded to 7 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 - 26*u**2 + 532*u - 536*u.\nAnswer: -48*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4\/11 + 158*i**3\/11 - 1052*i**2\/11 + 1306*i\/11 + 2520\/11 = 0.\nAnswer: -1, 4, 5, 63\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 6 - l - 8 + l**4 + 0 + l**4 to m*l**2 + c*l + o + g*l**3 + j*l**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-5 + -5 + -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/24*-2)\/(4\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 4. Let k be t(6). Let y be (0 + k)\/((-4)\/(-14)). What is the units digit of (-2)\/(-4 - -2) - y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269588.97 rounded to the nearest one hundred?\nAnswer: -269600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 11. Suppose 168*j - 170*j = 0. Determine f(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/3 - (-5 - 28). Find the first derivative of -31*u - 9*u - r - 21 wrt u.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(204)*4*-5 + (sqrt(204) - ((-6*(sqrt(204) + sqrt(204)*-4) - sqrt(204)) + sqrt(204))))\/((2*sqrt(48)*-6)\/(sqrt(4) + sqrt(4) + 3*sqrt(36))).\nAnswer: 407*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -34*v - 465. Calculate g(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 6*o + 5. Let d be u(-6). Factor 21*x + 5*x**2 - 37 + 17 - d*x**3 - x.\nAnswer: -5*(x - 2)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/6 - 3*w. Let l(a) = -7*a. Calculate o(l(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkkkppkkppqpkkq. What is prob of picking 1 p and 2 k?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -162*1 - (-1 - 2). Let m = u - -422. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 71*q**2 - 151*q - 294. Calculate l(-69).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(729)*-2).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 2)\/(4\/(-20)). Let j(v) = 6*v + 25. Let a be j(5). Let g be (54 - a) + (1 - (0 + 1)). Is c bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 6.5. Let p = g + 11. What is the biggest value in 3\/4, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/19, 0.12, 2, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 - 469 - 9*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 3 - (-11 - -12 - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/706976926 and -9\/20?\nAnswer: 7069769260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 43. Let b(y) = -18*y - 3. Let g be b(-3). Let x = g - 31. What is the smallest common multiple of p and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 3. Let m(f) = f - 4. Let y(s) = -4*g(s) + 3*m(s). Let h(w) = 3*w**2. Let q(l) = h(l) - 6*y(l). Let q(v) = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -196 (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, a: 7, f: 2}. Give prob of sequence ss.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00080580025 to 6 decimal places.\nAnswer: 0.000806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-9*4\/(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:23 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 156, 312, 484, 678, 900, 1156, 1452, 1794?\n\"Answer: n**3 + 2*n**2 + 143*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25386 (base 9) to base 3.\nAnswer: 212102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43058 divided by -2.\nAnswer: -21529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -17. What is the greatest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 + 207. Suppose -2*r = -5*j + 96, 2*r + q = 3*j + j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1910058*k**2*t - k*t - 1540632*t wrt k.\nAnswer: -3820116*k*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 8 + 6)*(-4*s**2 - 10*s**2 + 11*s**2).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*x**3 + 4)*(2*x**2 + 2*x**2 - 2*x**2) + 0*x**5 - 3*x**5 + 4*x**5 + 4 - 4 + x**5 + (37*x**2 - 870*x**2 + 216*x**2)*(4*x**2 - 4*x**2 - x**3).\nAnswer: 615*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00123475 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42838 - -43090. What is the highest common factor of 1694 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 82746 = 2*c, 2*m - c = 10246 + 22847. Find the third derivative of 3 - z**5 + 16574*z**2 + z**5 + 0*z**5 - 155*z**6 - m*z**2 wrt z.\nAnswer: -18600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 11*v + 7. Let n be c(-11). Suppose -2*g + w + 28 + 2 = 0, -4*w + 8 = 0. What is the highest common factor of n and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -5138 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15 = -2*m. Let t = 0.454 - 0.054. What is the nearest to -2\/5 in -0.5, m, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcss when four letters picked without replacement from {k: 5, c: 3, s: 3}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.2 + -62. Let k = 15 + w. Sort k, 0, 1 in increasing order.\nAnswer: 0, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*z**3 + 107*z**3 - 2*z**5 + 0*z**5 - z**5 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from hvccvhcvchvv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*l - 2009612, 7*w - 8*w + 1004778 = 2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 39*f - 126. Calculate z(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = 4*c + 1873, -2*c = -6. Is r a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1381*x**2 - 4*x + 91. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Let b be (-8)\/(-6)*39\/26. Suppose 26 = 3*v - 4*d - 10, -v + b*d + 10 = o. What is the remainder when 63 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**5 - 11*p**3 - 153*p.\nAnswer: 40*p**3 - 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -180, -271, -362?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156538591 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**2 + 3*d + 5300. Suppose 2*u - 2*v - 12 = -5*v, -5*u = 5*v - 25. Calculate f(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, x: 2, o: 4, l: 3}. What is prob of picking 1 o and 1 x?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (138*((-138)\/27 - 0))\/(46\/(-414))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from gjnpjjnpjs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13420.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(2*x**4 - 2*x**4 - x**4) - 2*x**2 + 0*x**2 + 5*x**4 - 6*x**4.\nAnswer: -2*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104913 by 3.\nAnswer: 34971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwewweeecwwewee. Give prob of sequence cew.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + y - 3*y = 0, m = -3*y. Suppose 0 = 3*c - 0*c - 15. Sort c, m, -5 in increasing order.\nAnswer: -5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139 - -142. Differentiate 26 - 10*v**3 - 30 - 35 + 31*v**a wrt v.\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7260 is divided by 148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -854, -1.58082?\nAnswer: -854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19915 + 36878. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -633, -621, -609, -597?\n\"Answer: 12*m - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140446431.\nAnswer: 3, 15605159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 403.42653 - 403.2. Let g = f + -0.225. What is g rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*x + 72*x - 6*x - 2530 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -130*c**3 - 795347*c**2 + 1272992*c + 636444 = 0.\nAnswer: -159111\/26, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 17 + 9*a + 50 - 14 to the form m*a + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -7.8. Let m = -1.79932 - p. What is m rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -793071, 29, 6 in ascending order.\nAnswer: -793071, -1, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*a + l + 14, -l + 3 = 0. Sort -3, -18, a, 5 in decreasing order.\nAnswer: 5, a, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*y + 20*y + 14*y + 22*y + 9*y + 5*y + 10*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*o - 8*o - 350. Let d = -117 + 56. Let u = o - d. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63546 <= -63548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 4*m**2 - m - 4. Let w be u(-4). Suppose w*f - f = -2. What is the third derivative of f*a**2 + 35*a - 35*a + 5*a**3 wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -1\/525*c**7 + 0*c**4 + 0 + 1\/75*c**5 + 0*c**3 + 1\/300*c**6 + 0*c + 33*c**2. Factor n(b).\nAnswer: -2*b**2*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92045 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 + -5 - (-19 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58420700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37862931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -x - 15, -2*u = -x - 0 - 7. Let d be 6887\/1136 + 2\/(-32). Let s = d - u. What is the highest common divisor of 14 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43414759159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 - 9*s + 4. Is i(33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*d - 4*d + 0*d)*(1 - 2*d - 1 + (-2 + 1 + 0)*(0 - 2 + 3)*(0*d - d + 2*d)) to a*d**2 + q + f*d and give a.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55904510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46edb7 (base 16) to base 6.\nAnswer: -243344131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 51*o - 73. Let j(h) = -h**2 - 25*h + 37. Let b(x) = -5*j(x) - 3*y(x). Let g be b(-29). What is the second biggest value in 0.2, -2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3240 + 3370. What is the highest common divisor of 117 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/21)\/o)\/o**(-7))\/((o\/o**3)\/o)**35 assuming o is positive.\nAnswer: o**(2333\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 877, 1956, 3461, 5392, 7749?\nAnswer: 10532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18963 - 18846 + 2*q + 37969.\nAnswer: 2*q + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 16 = -4*t + 27, -2*v = 3*t + t - 34 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264545164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 56198 = -4*d. Let p be (-3 - 10\/(-4))*d. Let w = -15399 + p. Round w to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)*c*c**(-1\/2))\/(c**(-3))**27 assuming c is positive.\nAnswer: c**(1471\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 4*z + 15*z)*(-22 + 22 + 22*z).\nAnswer: 308*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 take away 0.139?\nAnswer: 94.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 divided by -6140?\nAnswer: 311\/6140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - (-4)\/(-6). Let j = -1 - g. Let m = 1215.5 - 1214.5. What is the third smallest value in 0.3, m, j, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/4 - (191 - 192). Let z(f) be the second derivative of -3*f**2 + m*f**3 + 0 + 17*f + 5\/16*f**4. What is x in z(x) = 0?\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s. Let v(n) = 13*n. What is v(x(a))?\nAnswer: -65*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207*r + 150*r + r**2 + 3 - 307*r)*(-3*r**2 - 2*r**2 + 3*r**2).\nAnswer: -2*r**4 - 100*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhk when three letters picked without replacement from {a: 1, k: 2, t: 3, u: 1, d: 1, h: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 0.15 (c) -0.14 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3 = 3*d. Let k be 6\/(-10) - (4\/(-2))\/d. Which is bigger: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*c - 25, -3*c + 4*c + 20 = -3*b. Let d(o) = 2*o. Let u(w) = 2*w. Let z(g) = b*u(g) + 4*d(g). Let j(p) = -6 + 4*p**2 + 6. Give z(j(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.37 + -0.57. Which is the closest to -1? (a) r (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 - 2*t - 1. Let i = 0 + 18. Let l be 2\/7 - i\/14. What is the units digit of f(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**5 + 2*z**2 + 21. What is the second derivative of o(n) wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6857883.\nAnswer: 3, 701, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 5 = 23*b. Let j(x) = -x**3 - 6*x**2 - 8*x - 5. Let m be j(b). Solve 3*u + 2*k = 2*u + m, 2*u + 3*k = 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 5218*m - 5153*m + 15575*m - 5204*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3 = -5*t, 62*t - 67*t + 2 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -53731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, 2\/5, 83, 108, 264?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 - -783. Suppose 0 = p - 2*m - 221, -3*p - 6*m + 4*m + n = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 776 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 931?\nAnswer: -12\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9802553 - -931551.\nAnswer: 10734104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25232 + 25311. Which is smaller: -0.02 or u?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-1482)*52)\/(19\/1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 1150*m.\nAnswer: -5*m*(m + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1561 divided by -106\nAnswer: 1561\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.7. Let b = -1\/9 - 2\/9. What is the second biggest value in m, b, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1025 - -4?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*n + 192, 94 = -5*n + i + 547. Solve 0 = n*m - 85*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15131900 to the nearest 100000.\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*g + 14 = 0, p - g = -0*g - 3. Let n = 7 - 6. Let m = 4 + n. Sort -2\/9, p, m in descending order.\nAnswer: m, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 72, 624, -1\/3?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 - -198. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -483 - -485. Suppose -3*b - 28070008 = t*b + 4*a, -a - 2 = 0. What is b rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1177 + 632?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -122755?\nAnswer: -122755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 11 - c**2 - 5*c - 25. Determine b(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*k + 14*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s*v**2 - 40558515*s*v - 851738*v**2 wrt v?\nAnswer: 8*s - 1703476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let u(m) = -3683*m**2 - 631*m + 4763*m**2 + 631*m + 5604*m**2. Give b(u(i)).\nAnswer: 6684*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/11)\/q*q)**(-4\/7)*(q*q**27)\/((q**10*q)\/q) assuming q is positive.\nAnswer: q**(1346\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4\/7, 278, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(147))*-2 + 1 + (2 + -5*(sqrt(147) - (4 + 1*sqrt(147))))**2.\nAnswer: 84*sqrt(3) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 419 + -421.29. Let m = 2.3091 + v. Let a = 0.023 - m. Round a to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.026 - -0.104. Let l = d + -1.13. Which is the closest to l? (a) 1 (b) 0 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 297*h**2. Let q(a) = -3173*a**2. Determine y(q(t)).\nAnswer: 2990174913*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (401*p**3 + p - p**2 - 480*p**3 + 0*p)*(0 + 0 - 2*p).\nAnswer: 158*p**4 + 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (-31 - -39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*v**2 - 2*v - 2*v**3 + v + 0*v + 2*v as t*v**2 + u + c*v + p*v**3 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001065 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.8411 + 137906.1589. Let q = t + -137898.0085. Let i = 36 - q. What is i rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64 and -2272?\nAnswer: -145408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 23*t + 24. Let z be b(22). Suppose 1685 = -z*w + 15927. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.64 - -235.64. Let s = -229 + f. Let t = -13 + 21. Which is the biggest value? (a) s (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1856, 3713, 5570, 7427, 9284, 11141?\n\"Answer: 1857*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(1 + 3*s - s + 1)*(s - 5*s - s).\nAnswer: -10*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 35 = -5*k, -3*k - 2*s + 2 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4159, 0.09, 0.13?\nAnswer: -0.4159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/6)\/(-3 + 44\/16). Suppose 5*r = 7*r - s. What is the second derivative of -9*i**3 - i + 9*i**r - 19*i**4 wrt i?\nAnswer: -228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -3*k + 388. Suppose -15 = -33*b + 34*b - 5*s, -5*b = -4*s + k. Solve b = -r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*c - 26, -594*y - 42 = -595*y + 4*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(2688\/(-72)))\/(783\/(-24)).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.24789434 + 0.24827. Round b to five dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -4048?\nAnswer: -4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699031561?\nAnswer: 83, 8422067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3752929144?\nAnswer: 2, 469116143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -16. Let v = 1 - a. Let j(u) = u - 6. Let y be j(6). Solve -q = -v - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4268 + -4248. Let u = -13 - -18. Solve 8 = -4*x - 2*v, -5*x + 4*x - u*v = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddtddddddjdj. Give prob of sequence td.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20283.\nAnswer: 3, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/36 and -31\/117?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 4)*(-2*v + 0 + 0)*(2*v**3 + 4*v**3 - 4*v**3).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**3\/3 + 3*z**2\/2 + 11*z. Let s be a(0). Solve 3*g - 1 = s*l + 20, -5*l - 17 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -45, -4\/3, 0.3, -18, 0.\nAnswer: -45, -18, -4\/3, 0, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -129415964 and 5.\nAnswer: -647079820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 882 - 316222?\nAnswer: -315230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 31, 70, 133?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) + 26\/4. Suppose 5*p + 45 = v*c, 0*p = -3*p + 5*c - 31. Does 2 divide p\/21 - (-32)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 10. Suppose 2*k - 55 = -s + 2*s, -4*k = s - 95. Calculate the highest common factor of u and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/6*-1*(-9)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {l: 1, y: 1, k: 2, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/2 - 9719439*a\/2 - 4859718 = 0. What is a?\nAnswer: -3239812, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 26*q + 49. Let t be 24 + (0 - 0)\/(18\/6). Let b be c(t). Solve -8 = 3*m - 2*k, -4*m + b + 11 = 3*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y + 16*y + 22*y - 88*y**2.\nAnswer: -88*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211002 + 1121102?\nAnswer: 21102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575145?\nAnswer: 3, 5, 7, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, -28 in increasing order.\nAnswer: -28, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:42 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136358 is divided by 737?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056759?\nAnswer: 3, 11, 31, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -713.1967814 to 2 decimal places.\nAnswer: -713.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Sort -2, -4, d in ascending order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -575*s + 3432. Determine u(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 1193*i + 0*i**2 + 2 - 3*i**2 + 1062*i + 2 in the form x*i**2 + b*i + o and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (42 - (36 + -113) - (-7 + -1))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*l + 352 = -3*g, 2*g = l + 349. Suppose -3*m + 270 = 2*a, 3*m = -5*a + 95 + g. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1820168861 and -64.\nAnswer: -1820168925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2202 - 2203. Let v = 11 + -8. What is the third smallest value in -0.5, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-15) - 335524\/(-70)?\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157\/77 + -13\/7. Factor -2\/11*l**2 - 4\/11*l - x.\nAnswer: -2*(l + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 - -6) - -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 5*r**2 - 3*r**2 + 14*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + (-1 - 0) + 25 is divided by (-18)\/(5 + -3)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 11*v**2 - 10*v. What is k(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**2 - 50*m + 97. Determine r(7).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1169226 by -6.\nAnswer: 194871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2529 = 32*d - 1663. Let f = d + -115. Solve 0 = 4*v - 8 + f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404396 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-1 + 5 - 5 + 1 - 2 - 1 + (-3 + 1 + 1)*(-2 + 0 + 1) - 2 - 12 + 2)*(-5 + 5 - i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -12) + 24 + -22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*g**2*s**2 + g**2*s - 6*g*s**3 - 11*g*s**2 + 52*g - s**3 + 57 wrt s?\nAnswer: -20*g**2 - 36*g*s - 22*g - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37076 and 368.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 3543?\nAnswer: 3543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474 + -414. What is the remainder when (-1614)\/(-4)*(-60)\/(-45) is divided by d?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 408072.5 millilitres?\nAnswer: 408.0725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2))\/(5\/20). Suppose z*l + 1 = 25. Suppose u + 57 = s, -2*s - 204 = -l*s - 2*u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8836 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -30*m**2 - 21*m - 82. Calculate d(-4).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -577b17 (base 12) to base 5.\nAnswer: -324344021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93\/85 - 3194\/1785. What is the common denominator of ((-3404)\/184)\/(45\/(-6)) and z?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(3\/2)*c\/((c**3\/c)\/c))\/(c*c**(2\/11)*c**(-1\/8)))**(-2\/59))**(2\/7) assuming c is positive.\nAnswer: c**(-39\/9086)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 270 + -4?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526031.1m to micrometers.\nAnswer: 526031100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 41*o**2 - 45*o + 17. What is g(-42)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {e: 1, i: 1, o: 1, d: 3, z: 2, g: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/8, 88\/3, -0.13, 2\/23?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*k - 2*o + 69, 3*k = 3*o + 63. Suppose -2*x + k = 14. Let s(y) = -y + 4. Let z be s(0). Sort 0.2, z, x in descending order.\nAnswer: z, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*q = -7*n - 38, -4*q + 8 = 0. Let m(y) = y**2 + 5*y - 64. Let z be m(n). Solve z*d - 4 = 4*v - 2*v, -2*v + 3*d - 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98826047 is divided by 763.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 20 = 0. Let h be 1\/((6\/(-34))\/(-3)). Suppose h - 5 = 4*b. Calculate the remainder when x is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4135.51467ns to weeks.\nAnswer: 0.000000000006837821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*f + 5*i, -2*f - 3*i = 2*f + 31. Suppose 3 - 11 = 8*k. Let n be k\/(-5) - (12\/(-3))\/(-20). Is n at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49404495 at most 148213481\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2560 and 14201600?\nAnswer: 28403200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 0.4.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 7*g - 300. Let c be (159\/106)\/(-1 + (-103)\/g). Find the third derivative of 0 - c*u**5 + 37*u**5 - 20*u**2 + 0 wrt u.\nAnswer: -780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 19, -92, 4, -4 in increasing order.\nAnswer: -92, -5, -4, -3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + h**3 + 4*h**3 + (-5*h - 13*h - 4*h)*(-63*h + 9*h**2 + 63*h + (3*h - 3*h - h)*(0*h + 2*h - 4*h)).\nAnswer: -239*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 - 14901354*s - 18504195919443 = 0.\nAnswer: -2483559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*j = j + 27, -4*j - 18 = -2*u. Suppose -u - 2 = 5*l. Let d = l + 2\/3. Put 0.3, 2\/21, d in increasing order.\nAnswer: d, 2\/21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24556 + 20?\nAnswer: -24536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111.006kg to tonnes.\nAnswer: 0.111006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -131 + 130 - ((8 - 1) + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivuuvipipuuupiu. Give prob of picking 2 i and 1 v.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45816149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -482381, -964743, -1447081, -1929395, -2411685, -2893951?\n\"Answer: 12*d**2 - 482398*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(14*266\/196)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*o + 510, 3*l - 16*o + 19*o - 390 = 0. What is the highest common factor of 75 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2020203101?\nAnswer: -2020203110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*z - 1861 = -1157 + 2792 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8568 + -6991. What are the prime factors of p?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*q - 462 = 149*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1188c9 (base 15) to base 2\nAnswer: -11001100110101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))**2 + -1)*4 + 5*((sqrt(13) - (sqrt(13) + 0))*-6)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let a = -30169 + 30169. Let i(c) be the second derivative of 0*c**2 + 2*c - 7\/6*c**3 + a. What is i(u(t))?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 91*a**2 - 88*a - 192. What is w(90)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 8 + 2*r**3)*(-5*r + 3*r + r + (1 + 7 - 4)*(-r + r + 2*r) + 4*r + r - 3*r).\nAnswer: 18*r**4 - 45*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 54. Suppose 28 = o + o. What is the highest common factor of o and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m - 4. Let i be h(0). Let o be i\/2 - 2\/2. Let d = 270 + -269.98. Which is the second smallest value? (a) d (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 16 + 20 = 0. Put k, -4, 0 in ascending order.\nAnswer: -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.039, -0.03?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 59440*b - 1 - 29727*b - 29702*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 6:25 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4 - 12*k**3 - 54*k**2 - 108*k + 38. Suppose a(j) = 0. Calculate j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 655\/10 - (15\/(-6) + 2). Let p = m + -60. Calculate the smallest common multiple of p and -2*(-10)\/(2 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 + -169. Let n = -22.37 - -0.37. Let a = n - -22.1. What is the fourth smallest value in b, a, 1\/4, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -82, -156, -228, -298?\n\"Answer: l**2 - 77*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**3 - 42*x**2 - 215*x - 28. Determine z(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104355 and 270?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.1? (a) 3 (b) 2\/11 (c) -5\/2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9016 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0322 less than -3?\nAnswer: -2.9678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -13*s + 9*s. Solve 4*o + s*x = -5*x - 31, -o - 13 = 3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/(-40) + -9 + (-1055)\/(-1460)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.137 - -0.567. Let z = -0.239 + 11.569. Let d = z - r. Round d to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4 + 3501*u**3 - 65436*u**2 = 0?\nAnswer: 0, 19, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-104)\/(-6))\/(3\/9864). What is the third derivative of -66856 + 305*u**2 - 165*u**3 + z wrt u?\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of ((-12)\/(-9))\/(((-6)\/21060)\/(196\/(-35)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10105.2887 minus -9506?\nAnswer: -599.2887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28162 + 36191 = 217*l for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 16}. What is prob of sequence hkkh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133644897 is divided by 915.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*sqrt(24)\/sqrt(2)) - ((sqrt(55)\/(sqrt(20)\/sqrt(4)))**2 - 2*sqrt(704)).\nAnswer: -11 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 20*c - 36. Determine k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 2074.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 411365 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242*j + 10073 = -1096*j + 103593 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5429 is divided by 239.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53550001\/387 - -138372. What is the common denominator of -53\/21 and a?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:56 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 80*p**2 + 10*p - 48. Let z be n(4). Suppose -v + 194 = -5*a + z, 5*a + 2*v - 1084 = 0. What is the remainder when a is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 6. Calculate the least common multiple of p and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7) + 14 - (12 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/416 + (-1182)\/48 - (2 - 1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1\/(5\/6033) - 351\/585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s - 8. Let z be o(-6). Suppose b - z = 15. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = -o - 10, -o - 4*s = 20. Let h = o - -4. Let p be 1\/(-2) + 4\/(-8). Which is the nearest to 0.1? (a) p (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 26. Let z(o) = o - 1. Let r(v) = 2*v**3 + 6*v - 14. Let a(c) = b*z(c) - r(c). Differentiate a(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - 56. Let l = 127.87 + j. What is l rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 143, -2 in ascending order.\nAnswer: -2, 38, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 15 = -3*l, -5*s - l - 4*l = -35. Let i(x) = x - 1. Let f be i(s). Suppose 3*t - 2*p = 58, f*t - 68 = -2*t + 5*p. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1\/2)\/j))**(1\/55))**(3\/10) assuming j is positive.\nAnswer: j**(3\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1916737 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 18*c + 5. Let j be 20 - 18 - (0 - 5). Let l(y) = -2*y - 3. Let t be l(j). Let o be n(t). What is the greatest common divisor of o and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(3600) - sqrt(3600) - sqrt(100)\/(sqrt(4)*2))\/((sqrt(20) - sqrt(500))\/sqrt(4) - sqrt(735)\/sqrt(3)))**2.\nAnswer: 25\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose -27*y - 12 = -33*y. What is a in 0 + 1\/3*a + 2\/3*a**y - a**v = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 + 5748*c - 2381139\/2.\nAnswer: 3*(c - 197)*(c + 4029)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b234 (base 13) to base 8.\nAnswer: 147565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**3\/3 - 4*b. Let m(c) = 3*c. What is m(d(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:33 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 51 + 34\/3*q**3 + 0*q + 0*q**2 + 13*q**4. Find the third derivative of x(b) wrt b.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 205*n. Let o(b) = 13*b**2. Calculate o(j(q)).\nAnswer: 546325*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 368*a + 8320.\nAnswer: 4*(a - 52)*(a - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.947233 to two dps.\nAnswer: 8.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 6*d**2 - 2*d - 9. Let p be k(-6). Suppose -3*a - 42 = -p*m, -5*m + 10*m - 75 = 4*a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 71252610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.6. Let l = -14 - -14. What is the closest to 1 in l, c, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 37*a = 0. Let w(g) = 5*g + 50800000. Let q be w(a). Round q to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:37 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o + 0*o)*(-1 - 3 + 0) + o + 5*o - 3*o + (4 + 1 - 3)*(5 - 7 - 4)*(-2*o + 8*o + 0*o).\nAnswer: -77*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.042338 + 0.05255. What is p rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9.1. Let d = o - -0.1. What is the smallest value in -0.08, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -9. What is the greatest common factor of 88 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53, -3779, 58?\nAnswer: -3779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3849*j**4 - 40*j**3 + 2*j**2 + 921074*j wrt j?\nAnswer: -46188*j**2 - 240*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f - 2 = 0. Suppose -3*b - 5*l = -2 + 5, 5*b - 26 = 2*l. Let i be (-2 - f)*12\/b. Sort 4, i, -2.\nAnswer: i, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:31 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = 0, -2*i - 30 + 20 = 3*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from pbhcvjc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69267?\nAnswer: 3, 11, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382 - -390. Let o(g) = -g**3 + 7*g**2 + 16 + 7*g + 0*g**2 + 1 - 3. Let k be o(u). Solve 2*n = -k - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2316944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 909 divide 1292598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -22.86. Let v = 17.86 + y. Let j = v + -15. Put j, -2, -1 in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -144*o + 14486. Give f(100).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 2. Let w(b) be the second derivative of -b**4\/12 - 7*b**3\/3 - b**2 + b. Let q be w(-14). Let m be v(q). Sort -2, -1, m in decreasing order.\nAnswer: -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 710397 and 123255?\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -186822377 from 0.5.\nAnswer: 186822377.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17584\/78795 or 1?\nAnswer: -17584\/78795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**3 - 6*g**2 - 2. Let q(s) = s**3 - s**2 - 1. Determine -l(y) + 6*q(y).\nAnswer: y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77\/45 - -10\/9. What is the closest to -0.06 in f, 5, 1\/12, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 962120 and 6834?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/7, 915, -6, -19?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4662.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 530285077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.072 - 27.2. Let x = 0.0621 + f. Round x to 3 decimal places.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.3. Let u = 1 + -1.29. Let c = 0.09 + u. What is the third smallest value in -0.4, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Suppose 0*z + 4*z + 6 = -2*u, 4*u - 4*z = 36. Differentiate u - 2 + a*w**3 - 1 with respect to w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.5. Let m = 0 - t. Let s = 0.2 - m. What is the biggest value in s, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -132. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 48. Let x be (-108)\/(-3) + (2 - v). Suppose 3*h + 4*r + 22 = 6*h, 4*r - 62 = -3*h. Calculate the highest common factor of x and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*h = 294, 3*g + 2*h = -h + 486. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 3*k**2 - 4*k + 6. Let v be l(3). Let r be ((-16)\/v)\/((-28)\/(-42)). Differentiate -1 - 12*q - r - 11 + 0 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, 2, -3 in increasing order.\nAnswer: -4, -3, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 93.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 24055.0945931989?\nAnswer: 24054.4945931989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 21. Let y be f(8). Suppose y = 4*s - 47. Calculate the smallest common multiple of 9 + s + -3 + (0 - 0) and 9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/((-30)\/135). Put 0, 5, 4, z in ascending order.\nAnswer: 0, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26738*w - 3459*w = -2627139 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 8 + 20*j - 2 - 4 - 21*j in the form k*j**2 + d*j + t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(198) - sqrt(198)*-4) + sqrt(198) + sqrt(198) + sqrt(198) + sqrt(198))*3*-6)\/(-2*3*sqrt(539)).\nAnswer: 3 + 81*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/6 - 7*l**3\/6 + l**2\/2 - 11*l. Let o be i(4). Is (o*2902\/25)\/(4\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/393663 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {n: 1, j: 1, e: 1, i: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.079 - -76.921. Let c = -78 + u. Let j = 8 - 8.11. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -5*y**4\/8 + 3*y**2 - 39*y. Suppose i = 4 + 1. Suppose -i*s + 13 = -2*s - 2*a, 5*a = -25. What is d(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088 + 19 = 47*f + 200 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (510 + 10)\/(2\/86) + 4. Suppose v - j = -3*v. Suppose -2*p - 2307 - v = -4*s, 0 = -3*s - p + 5916. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsns. Give prob of picking 3 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84, 132, 180, 228, 276, 324?\n\"Answer: 48*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Suppose -2*w = -5*h + 22, 21 = 8*h - 3*h - w. Let p = 1.74 + -1.24. Which is the nearest to r? (a) p (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 l when four letters picked without replacement from {c: 3, a: 4, f: 3, l: 3, z: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33778?\nAnswer: 2, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -18*p**3 + 36*p**2 + 39*p + 1. Let b be h(-1). Sort -0.007, -0.1, b in increasing order.\nAnswer: -0.1, -0.007, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*g + 71, -27550*g + 27547*g - 5*x + 80 = 0 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 - 2*k + 2. Let q = -101 - -100. Let h be q + 24\/10 - (-15)\/25. Let b(g) = -g**3 - g**2 + g. Give h*b(o) + w(o).\nAnswer: -o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) -0.38 (c) -23\/30 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -15*m + 1044. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722934676 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*v + 5*m, 5*m + 3 = -3*v + 2*m. What is the second derivative of -2*y**2 + y**2 - y - y**2 + v*y**2 wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275092 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -4, 3 in descending order.\nAnswer: 6, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 66*k - 77. Calculate the remainder when n(31) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -584, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -149, -2, -8 in decreasing order.\nAnswer: 1, -1, -2, -8, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.234 + 0.22. Let a = u - 0.986. Suppose 0 = -3*l + 3*z, l + 10 = -3*z - 2. What is the closest to a in -5, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1) - 274\/(-6). Let i(y) = 8*y + 20. Let z be i(-8). Let o = z + q. Which is the third biggest value? (a) -1 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (34\/18 + -2 - 77259\/(-351)) + -4 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 15*k**2 - 15*k - 13. Calculate y(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc (base 16) to base 9.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4 and (151\/15)\/(732\/(-30)).\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 8 = -15*f + 169 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -n - 14*g - 252, 1156*n - 1154*n + 48 = -2*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1030 + 1035.899. Let w = y + 0.101. Which is the nearest to -1? (a) w (b) -2\/9 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 0, 0.2, -3, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*n - 79*n - 68 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v + 2*z = 0, 3*z = -5*v + 8. Let c(b) be the first derivative of b**2\/2 - 6*b - 1190. Let u be c(v). What is the closest to 1\/3 in u, -3, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qppqqcppqcoooqqqoo. Give prob of picking 4 o.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/15 or -2\/5?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3186 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9177305 days in microseconds?\nAnswer: 79291915200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3294 - 42798\/13. Sort 0.5, -3\/2, u, 5.\nAnswer: -3\/2, 0.5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7748 + 7747.7. Let o = -11 + 8. Which is the third biggest value? (a) t (b) -0.122 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2236.359 + -2251. Let t = 14.7 + p. Round t to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r - 23*r + 51*r)*(-1 + 1 + r)*(-8 + 8 - 12*r).\nAnswer: -144*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + a - 8 = 0, 3*t + 7 - 20 = -2*a. Let u be ((-11)\/55 + 4\/20)\/(-1). Factor 7\/5*x**t + u*x + 0 + 2\/5*x**2.\nAnswer: x**2*(7*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -33, -62, -103, -156?\n\"Answer: -6*m**2 + m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w**(1\/4)))\/(w\/(w*w\/w**(2\/3))))\/(w\/w**(2\/3)*(w*w\/(w*w*w\/(w\/w**(2\/11))))\/w) assuming w is positive.\nAnswer: w**(-3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 - 7*z + 10. Let g = 24 + -27. Let p = 1 - g. What is the units digit of j(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - i + 6420, -9*r + 7*r - 2*i + 3210 = 0. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 11 in decreasing order.\nAnswer: 11, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 6\/35, 0.5?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 13*b - 31. Calculate c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 560364861*o**2 - 161019486*o - 2 wrt o.\nAnswer: 1120729722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Let n = f - 2. Suppose 0 = 4*b - 2*b - 10. Sort n, 3, b in decreasing order.\nAnswer: b, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2 - 1. Let n(f) = -29*f + 4. Is n(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 18*q**2 + 21*q - 41. Let r be g(17). What are the prime factors of r\/(2345\/(-336) - -7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3291 is divided by 1078?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -0.01, -1, 2, 1.6, -0.07?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 2*b - l - 5, 2*b + 2 = 30*l - 12*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1585 = 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 192\/(-18)*2\/(48\/(-2)). Factor -w + 8\/3*n + 14\/9*n**2.\nAnswer: 2*(n + 2)*(7*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h. Let j(v) = 910161*v**2. Calculate j(z(y)).\nAnswer: 8191449*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17504187 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205*s*u**5 + 2103*s*u**3 + s*u - 11453*s + 2*u - 2 wrt u.\nAnswer: 4100*s*u**3 + 12618*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 9*o - 7. Suppose -2*v = 3*v + 840. Calculate the remainder when (6\/(-4))\/(4\/v) is divided by u(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + c)*(-c**2 + 3*c**2 - 5*c**2) - 2*c**3 + 4*c**3 - c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 4*y - 2 + 0 - 2*y**4 + 4*y + 0*y**4 + 7*y to the form s*y**4 + v*y**2 + g*y + c + q*y**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34230926?\nAnswer: 2, 17115463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -3844, -3, 5, -21, -7 in increasing order.\nAnswer: -3844, -21, -11, -7, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2055311 and -12.\nAnswer: 14.4663732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:05 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44433.\nAnswer: 3, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -126, -133, -140?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f + f**2 + 17*f. Let u(x) = 3*x. Calculate u(h(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1265\/93 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 0 - (-14 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1\/(-4))\/((-3)\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -18*p**2 - 1909*p - 20942. Calculate f(-11).\nAnswer: -2121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1971*f**5 - 2*f**2 - 564.\nAnswer: 118260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322)\/(-23)*8\/(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -111, -382, -917, -1806, -3139, -5006, -7497?\n\"Answer: -15*f**3 + 3*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 43*y + 43*y)*(2*y + 3 - 3 + (5 - 3 + 0)*(-y + 2 - 2) + 0*y - y - y)*(0*y + 2*y - 3*y).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540016.\nAnswer: 2, 29, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:36 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 6*w**2 + 5*w - 1. Let p be y(5). Sort 3, 2, p in decreasing order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5392285313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500830 by 1.\nAnswer: -500830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5761 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2368\/285 + -130\/19. Let f = 178 - 177. Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.025 + 7.525. Let o = -6.8 + t. Is 0.1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1079904 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at most -1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*p)*(5 - 4 - 2)*(3*p**3 - 7*p**3 + 5*p**3).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2618 + -1991. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 51 - 31, 0 = 4*v - x - 179. What is the remainder when 837 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + k**4 + k**4 + (4 - 4 - 3*k**2)*(3*k**2 - k**2 + 0*k**2).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 237924 (base 13) to base 15\nAnswer: 11a669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/277 or 0?\nAnswer: -1\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -125 (b) 1\/21 (c) 193 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -15*l - 2. Suppose 4*c + q = 0, 2*c + 2*q = 3*q. Suppose 3*j + 12 = 2*o + 2, 2*j - 2*o + 6 = c. What is the units digit of r(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2 + 1 - 3 + 3 - q**3 + 6 - 10*q. Let o = 3 + -43. Let k be 45\/(-6)*32\/o. Calculate f(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -8 - 3052\/(-109).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 139511 = -2*l + 139555, 0 = -7*l - 4*f - 143 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 708 - 716. Which is the nearest to 5\/4? (a) 4 (b) -4 (c) -0.3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 2*p, 7 = -u + 2*p - 0*p. What is the tens digit of ((-6)\/(-5))\/(u\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16562 + 16566. What is the nearest to q in 2, 0.5, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gczz when four letters picked without replacement from {c: 1, g: 5, z: 5, p: 1}?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/17, 0.25, 5?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20313113.\nAnswer: 17, 1194889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 515857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -11, 36, 119, 238, 393?\n\"Answer: 18*g**2 - 43*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.113 rounded to the nearest integer?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -28. Let v be (-6)\/(-3) - (1 + d). Suppose 4*u - 44 = 4*s, -3*u - v*s + 7 = -12. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 1492*j**2 + 139872*j - 138384.\nAnswer: 4*(j - 186)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1040\/112 + (-4)\/14. Suppose 2*t = -1 + x. Suppose 2*k = -2*m + 6*m - 192, -t*k = -m + 55. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (-4 + sqrt(2299)*1 - sqrt(2299)))**2.\nAnswer: -88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/40)\/(11\/11))\/(6\/(-120)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1421.\nAnswer: 142.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(48)*-3)\/(sqrt(50)\/((1*sqrt(80))\/sqrt(8))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9098796, 9098805, 9098816, 9098829?\nAnswer: 9098844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204 - -1018\/5. Let l = 0.9 - -4.1. Which is the smallest value? (a) 3 (b) j (c) l (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6*(r\/r**(-10))\/r*r\/r**8*r*r*r**(-6\/5) assuming r is positive.\nAnswer: r**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-24))\/((-1)\/(-2)). Let l = -8 - 35. Let g = l - -299\/7. Which is the second biggest value? (a) r (b) 1\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 6*c**2 + 8*c + 26. Let b be q(2). Let z be 4\/6 + 15574\/(-23352). Let g = 85605\/73948 - z. Is b >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636 divided by 6.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -372 divided by -186\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -6, -2*b - 2*r = -b + 1. Let i be 8\/(-6)*-3 + (-19)\/(-19). Suppose i*f - 26 = u, 10*f - 15*f + 3*u + 28 = 0. Solve -b*j = f - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -9. Let y = -10.6 + 10.57. Let x = l - y. What is the third smallest value in 2\/7, -2\/5, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.000536 less than -0.16893335?\nAnswer: 0.83160265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*a - 13680 - 13680 + 27377 to b + u*a and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -22*a**3 + a**2 - 2*a + 6. Give r(2).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01035779401 to four decimal places.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -2*w - 12*w - 12. Solve 4*s - w*g = 29, 9*s - 22 = 7*s + 4*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5579*y**3 - 4 + 5 - 17310*y**3.\nAnswer: -22889*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 4*g**2 + 0*g + (-g**2 + 0*g + 0*g)*(-4 + 2 - 1) - 8*g + 3*g**2 + 8*g + (-g - 4*g + 3*g)*(0 + 0 - 2*g) - 2*g**2 + 1 - 1 + g**2 + g**2 - 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 2*q, -4*g = 4 + 4. Suppose q = -4*k + 5*k - 2. Find n such that 2*n**2 - 2*n + k - n + 2*n - 3*n**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = h - 6, -h + 30 = 4*h - 5*b. Solve -h*n + 4*n + 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 2567011?\nAnswer: -2567016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402 divided by -6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -848\/81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-18)\/m*m*(m*m*(m*m\/(m**28\/m))\/m*m)\/m assuming m is positive.\nAnswer: m**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, l: 1}. What is prob of picking 2 f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 70. Suppose -i = -2*i + z*p - 39, 2*i = -5*p - 65. Let v = 65 + i. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*w - 37 - 432*w + 37 + 445*w.\nAnswer: -371*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 16) to base 15.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from oogooogo?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3 - 24*g**4 - 2*g**2 + 62*g - 2*g**3 + 7*g + 5*g**3 wrt g?\nAnswer: -288*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 48 = 8. Let n be (-11)\/(-3) - 2\/3. Suppose -10 = n*l - x*l. What is the greatest common divisor of l and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1249238 and -1.3.\nAnswer: 1249236.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1, 57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 239629076 to the power of 1\/2, to the nearest integer?\nAnswer: 15480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 6*x**2 + 2. Let o be z(6). Suppose 2*w = n - o*w - 10, 3*n - 12 = 3*w. Calculate the highest common factor of n and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -10. Suppose q = 57*u - 59*u. Is u at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78445, 1, -4, 11, 3, -3 in increasing order.\nAnswer: -4, -3, 1, 3, 11, 78445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329888 is divided by 82472.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.5 + -41.5. Which is the nearest to 8? (a) 5\/3 (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p + 41*p - 6*p - 9*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 571?\nAnswer: -16\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-508)\/6096)\/(45\/(-12)).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 7*l**2 + 6*l - 2. Let p be v(-5). Suppose -5*t + p = 3*q, -3*t + 4*q + 215 - 31 = 0. What is the highest common factor of t and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 2*w**7\/315 - 7*w**6\/45 - 7*w**5\/45 + 52*w**4\/9 - 56*w**3\/3 + 18*w**2 + 4*w - 2. Find z such that a(z) = 0.\nAnswer: -3, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**5\/12 + 7*f**4\/6 + 2*f**3 - 13*f**2 + 32. Let t(l) be the second derivative of m(l). Solve t(j) = 0.\nAnswer: -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.307 from 4237569.092.\nAnswer: 4237567.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 708 by -4.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*b + 27, 2*b - 7*b - 15 = 0. Sort -4, k, 39, 2.\nAnswer: -4, k, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 3, 1, 2\/15, -190, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 135, 119, 103, 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3384 is divided by 3351.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*q - 74*q + 300 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 2*s - 8, -3*s = 0. Suppose 3*i - 3*t + 32 = -t, -2*t = 4. Let u = i + 16. Solve w - n*w + 8 = u*b, -21 = 3*w - 3*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20696 (base 10) to base 8.\nAnswer: 50330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -137. Let l = 132 + o. Calculate the highest common divisor of 216 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2188, 8857, 19972, 35533?\nAnswer: 55540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/205*-220 - 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*g + 5305 = 1917. Solve -k - 6 = 3*x, -30*x = -g*x + 2*k + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 2*n + 1. Let c(z) = -64*z**2 - 80*z + 24. Let l(x) = -2*c(x) + 48*v(x). What is the second derivative of l(r) wrt r?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99.8 - 122. Let y = h - -22. Which is the fourth smallest value? (a) -2\/11 (b) 0.5 (c) y (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 15*x**2. Let j(b) be the third derivative of -b**6\/720 + b**4\/6 - 8*b**2. Let y(h) be the second derivative of j(h). Determine y(r(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 2*d - 5. Let p be b(-2). Let l be (-10)\/(-5 + p - 7364\/3684). What is l rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(2\/4 - 2). Calculate the highest common divisor of q and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.957 take away -0.062?\nAnswer: 1.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239357273?\nAnswer: 223, 1073351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2265, -1135\/3, -3?\nAnswer: -2265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h + 8455 = 586*h - 6098 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 - 22*k**2 + 28*k + 2. Calculate the lowest common multiple of 1203 and y(2).\nAnswer: 12030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/6*1494\/(-664)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153919 is divided by 15386.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3) + (-30002 - -4). Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-8) - (-194522)\/304.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155392*a = 1155387*a + 3*c - 22, 4*a + 5*c = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 - b**4 - 1802*b**2 + 896*b**2 + 8 - 2 + 913*b**2 + 12*b**3 as g*b + c*b**4 + l*b**2 + w*b**3 + f and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108, 283, 532, 855?\n\"Answer: 37*c**2 + 64*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-6))\/(5\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4177258.1 rounded to the nearest 100000?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11 - (-2511)\/(-23544) - (-9 + -2) and 31\/464.\nAnswer: 50576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - 1995\/(-45). Let k be (-14)\/18 - (-10)\/n. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2476932 is divided by 1238336.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((384\/(-80))\/8)\/((-21)\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/4 of a millennium?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*t + 142 = 26, -w + 3*t = 68. Let d = 120 - w. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/9, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*k - 2 - 10 = 0, 2*k = 4. Is -4 + 7 - 47*w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92301 - 92206.061. Let d = m + -95. What is d rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s - 22. Calculate the remainder when 109 is divided by x(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**2 - 2*i**3 + i**4 + 12*i + 7 - 10*i - 6 to t*i + v + k*i**4 + s*i**3 + m*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608.302 nanograms in micrograms?\nAnswer: 2.608302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 5*t - 3*t. Let u(y) be the third derivative of y**2 + 1\/24*y**4 + 0 + 0*y + 0*y**3. Calculate s(u(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1705147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 = 51*x - 68*x. Is x at least 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 11*g - 9. Let w be x(12). Suppose d - 1 = j - 0*d, -4*d + 5 = -w*j. Solve -2*y + j = 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 17. Suppose 0*u + u - 8 = 0. Let k be b*((-4)\/u + 2). Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 473\/(-99)) + 29\/9. Solve -4*q - 17 = l, 0*q - 3*l = v*q + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 5*p - 2*p + (3*p - 2*p + p)*(-1 - 1 + 1) + (-64 + 40 + 38)*(-3*p - 7 + 7) + (3 - 2 + 3)*(-2*p + 1 - 1) to the form c + a*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52\/5 - 44\/110 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abtbaatootaaaboq. What is prob of picking 1 q and 1 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*t = 33, 3*u - 8*t - 21 = -3*t. What is the remainder when 826 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.21939 litres in millilitres?\nAnswer: 25219.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 767 = -0*g + 4*g, -5*g = 3*p - 964. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*a + 89 - 14 + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67272.146 - -110572.4. Let f = b - 43156. Let n = -144 + f. Round n to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 1, 33 in ascending order.\nAnswer: -3, 1, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n. Let i(h) = h + 14. What is x(i(d))?\nAnswer: 5*d + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608*y - 6 = -3*f - 1607*y, 4*y = -12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m + 2*m. Put 2, -5, m, -2 in ascending order.\nAnswer: -5, -2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9*l = 24. Solve 4*r - o - 3 = l, 3*o = -4*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 2)*(a - 3*a + a)*(-a + 0*a - 9*a**3 + 6*a**3).\nAnswer: 15*a**4 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 23*j. Let w(f) = -31*f**2. What is w(d(q))?\nAnswer: -16399*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 124 = -4*p, 2*p - 3*u = -p + 93. Suppose 3*d - 134 = p. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*h + 2*f, -9 - 1 = -3*h + 4*f. Suppose 0 = -2*p + 3*p - h. Suppose p*b = 2*b + 124. Is 14 a factor of b?\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 i when two letters picked without replacement from {r: 8, n: 8, i: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*u + 174, -3*o + 1 = -u + 25. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -29 - 9*h - 23*h + 12*h**4 - 12*h + 3. What is the first derivative of j(b) wrt b?\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34505 - 11?\nAnswer: 34454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5069201?\nAnswer: 5069201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*b - 77*b - 105*b as w + c*b and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -52*a + 270 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + -2423650\nAnswer: -2423649.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/60)\/((-4)\/15*(495\/(-10))\/11)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 531*b**5 + 2309*b?\nAnswer: 10620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 7. Calculate s(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*h + 48, 7*h - 2*h - 5 = 0. Suppose -261*v = -272*v - x. Put 5, v, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 - -153. Suppose 5*i - 227 = 2*a, 3*i + a - 179 = -i. Calculate the greatest common factor of t and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 4*m + 5. Let s be h(-5). Let r(y) = y**2 - y + 3. Let u be r(s). Suppose n = -u*n. Put 2, n, -2 in decreasing order.\nAnswer: 2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3815553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000922581183 to seven decimal places.\nAnswer: 0.0009226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14639, -29023, -43185, -57131, -70867, -84399, -97733, -110875?\nAnswer: -123831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24614?\nAnswer: 2, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -0.115593?\nAnswer: -0.115593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -11*z**6\/60 - 299*z**5\/30 + 78*z**4 + 60*z**3 + 2*z**2 + 68*z. Find f such that r(f) = 0.\nAnswer: -30, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 27, -2, 0.7, 131\/11?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 26 = -11. Let j(r) = 5*r**3 - 2*r**2 + 3*r. Let z(q) = -9*q**3 + 3*q**2 - 5*q. Calculate t*j(p) - 3*z(p).\nAnswer: 2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139041 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2\/8 - 1421*x\/4 + 1146885\/8 = 0.\nAnswer: 487, 2355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.059397576?\nAnswer: -4.940602424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + 2169*k - 3 + 47*k + 3*k**2 + 5 in the form y*k**2 + x*k + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20387 and 96251.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3436660 - 455.\nAnswer: -3437115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-308 - 2)*(-272)\/40. Suppose -k*u + 2114*u = 3408. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106501504 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4\/5 + 1388*j**3\/5 - 20412*j**2\/5 - 70892*j\/5 - 49096\/5 = 0. Calculate j.\nAnswer: -361, -2, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5341936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/32? (a) -521 (b) -7 (c) 2 (d) -0.5 (e) -6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 34. Let c be q(15). Solve -c*p - 3 = 3*f, -f - 7*p = -2*p + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2 - 0 - -4. Suppose 31 = m - 2*v + 8, -2*m + 47 = -p*v. Suppose 0*n = 5*n - m. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.44089mg in tonnes?\nAnswer: 0.00000008144089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*k = 21 + 79, -4*s = -5*k - 463. Let z(b) = 7*b - 7. Let q be z(3). What is the greatest common factor of s and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w + 24. Let b be f(6). Let v(x) = 18*x**2 + 65*x - 1. Is 5 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -152*s**4 + 341?\nAnswer: -608*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.94 - 16. Let s be (4\/138)\/(112\/(-21) + 5). Which is the nearest to 0.1? (a) w (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*x = 5*z - 8, -12 = -3*z + 3*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 94*j**2 - 228*j - 106. Calculate the lowest common multiple of 3350 and g(-96).\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and 4.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8037165 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - 2*p)*(0 - 2 + 0) - 29*p + 59*p + 33*p.\nAnswer: 67*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b - 160 = 0. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**4 + b**2. Let r(k) = -177*k**5 + 3*k**4 + 3*k**2 + 145*k. Let v(l) = -r(l) + 3*s(l). What is the second derivative of v(u) wrt u?\nAnswer: 3540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600284 to the power of 1\/2, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18972.981 - -9.5182\nAnswer: 18982.4992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*p - 186*p + 1328 = 102*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-665)\/532)\/(-5 + 1475\/296).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*m - 15, 2*t - m = 1 + 20. Find the common denominator of (2\/t)\/(8\/(-894)) and 73\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 618932.8nm?\nAnswer: 0.06189328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1416*y - 183. Let h(p) = -p. Determine h(a(o)).\nAnswer: 1416*o + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 8*x**3\/3 + 18*x**2 + 28*x - 14. Factor o(n).\nAnswer: 4*(n + 1)*(2*n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 6)*(0*s**2 - s**2 + 0*s**2) - 5 + 5 - 7*s**2 - s**2 - s**2 + s**2 + 10*s**2 + 2*s**2 - s**2 as g*s + k + t*s**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -4, 0.4, 0.1, 77 in ascending order.\nAnswer: -4, 0.05, 0.1, 0.4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 5:37 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 8. Let b be z(-6). Let h(l) = -12*l + 30. Let p be h(-9). Suppose b*d - p = -d. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2976\/5 + 592. Is r less than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/12 + 4*j**3\/3 + 21*j**2 - 33*j. Does 21 divide t(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111111001001 (base 2) to base 9\nAnswer: -12141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (9 + -6)) + -9 + (1 - (-9 - -14)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 12) to base 5\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (14 + (2 - -6) + -8 + -20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 282. Let n(v) = -v + 19. Give c(n(r)).\nAnswer: r**2 - 38*r + 643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and (0 - (0 - -4))*((-3875)\/124 - 34)?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*l - 1541 wrt l.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3108082 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2, -3*p - 5*l - 18 = -2. Let d be (-2)\/(-4)*p + 1. Suppose 2*y = -2*x + 52, 96 = 4*x + 2*y - d*y. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1912.2*-1148.5.\nAnswer: 2196161.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 30 = -12*v. Let l be (2 - 3)\/((-2)\/v). Let d(g) = g**2 - 4*g + 1. Determine d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/((-810)\/(-630))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33987 + 15601 = 719*a + 52160 - 5117 for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 greater than or equal to 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*o - 27*o + 114 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 1 - (2 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40455 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-7)\/(-231)*531.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 10 + 10*c**2 - 2 as o*c**2 + u + z*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 80337*d - 11247205. Determine q(140).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 + i**2 - 7*i + 7. Calculate f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -975*o**2. Let i(f) = f. Calculate i(k(n)).\nAnswer: -975*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-2730)*(-5)\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 1053 = -987. Solve -169*c + j = -152*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40044, -40041, -40036, -40029?\n\"Answer: t**2 - 40045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 11 = -2*u. What is the least common multiple of u - 13 - -7*1 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-225)\/20)\/(1\/20). Let u = f - -264. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-12)\/(-9))*72\/27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3794\/63 + (3 - (-87)\/(-27)) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*j + 26*j + 127*j)*(3*j**3 + 2*j**3 - 3*j**3).\nAnswer: 228*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7591, -7597, -7627, -7693, -7807, -7981?\n\"Answer: -2*i**3 + 8*i - 7597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w\/(w\/(w**(4\/11)\/w)))))\/w**(3\/25))**(-49))**(-8) assuming w is positive.\nAnswer: w**(26264\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4598590 rounded to the nearest ten thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*y = -122*y + 215462. Is 69 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 1 + n**2 + 3*n**2)*(-3*n + n + 0*n).\nAnswer: -6*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -4. Let f be o\/(-1 - (-5)\/3). Suppose w = -4*w - 3*x + 17, -3*w + 3*x = -f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 55*b**2 + 4*b - 2. Let a(p) = -28*p**2 - 2*p + 1. Let v(u) = 7*a(u) + 4*z(u). Suppose -5*k - 2*d + 11 = d, 5*d - 10 = 0. Give v(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 9*n - 12. Let y be z(10). Suppose 0 = -t - 0 - 12. Let j = y - t. Solve a + 5 = j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - 3 - 3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - -1) + 58536\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29984, -119946, -269876, -479768, -749616, -1079414, -1469156, -1918836?\n\"Answer: l**3 - 29990*l**2 + l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2. Let l(r) = -625*r + 625*r + 16*r**2. Give g(l(y)).\nAnswer: 1280*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by -4.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*-4*3\/(-372)*2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18900 = -1689*c - 321 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r + 2*c = -2, -4*r = 5*c - 7. What is the remainder when 2 - (3 - (38 - 2)) is divided by r + -1 - 0 - -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 27*h + 4. Let f(k) = k**3 + 9*k**2 + 13*k - 6. Let t be f(-7). Let r be p(t). Let a = -5 + r. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30527 - 30497. Let j(b) be the first derivative of 0*b**2 - b**4 + 0*b + 4\/3*b**3 + m. Let l(x) = -x**3 + x**2. What is -6*j(w) + 26*l(w)?\nAnswer: -2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 718 + -321. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 778495308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 2599332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1 - 3 - 10) + 55 + -54?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-4) - (-5 - (-2205)\/5). Let t = k - -446. Suppose o = -2*p - 6, -3*p = o - 8 + 19. Solve o*d = 3*d + t*v + 7, 4 = d - 2*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 48 = -24*y. What is the least common multiple of 87 and ((-18)\/24)\/(-6 - 92\/y)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1100891*m**4 + 6*m**2 - 7830797*m wrt m.\nAnswer: 13210692*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-20\/3)\/g))\/g)\/(g*g\/((g*g**(-21))\/g)*g*g*g)*g**(-40)\/(g*g\/g**1) assuming g is positive.\nAnswer: g**(-181\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983 - 983 - 16*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4 - 5. Let c(o) = -5*o**2 + 6*o + 14. Let u be c(-2). Put 3, a, u, -4 in descending order.\nAnswer: 3, a, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -635821\/237094 - 1\/10777. Let t(c) = -c**3 + 3*c**2 - 2*c - 2. Let i be t(2). What is the common denominator of (-23)\/(-14) - i\/1 and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 6. Let n(y) = -2*y**3 + 11*y**2 + 5*y - 2. Let l be n(5). Suppose -a*t = -6*t + l. Solve 4*m - 7*m = -t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -27*z - 79. Let v be y(-3). Let n(k) be the first derivative of -2\/5*k**v + 4\/5*k + 6 + 1\/15*k**3. Suppose n(i) = 0. Calculate i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 15 + -5 + -10 + 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 501, 103 in increasing order.\nAnswer: 1, 103, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 48. Suppose 191 = 5*n + u. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28894, -57781, -86664, -115543?\nAnswer: -144418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6661643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 - 2795*c**4 - 1940383*c**3 + 17648351*c**2 - 29554160*c - 49140100 = 0. What is c?\nAnswer: -1402, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u = 2*x + 5, -5*u - 25 = -2*x. Let r(d) = -2*d**2 + x*d**2 - 2*d - 14*d**2 + 1 + 6*d**2. Determine r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1913\/4745 - 3\/949. What is the closest to -2\/5 in x, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 7*c**2 - 2*c - 4. Let z be i(-7). Let h(a) = 2*a - 1. Let m be h(-4). Let t be ((-3)\/(-2))\/(m\/(-24)). Solve 0 = d + t*d + z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 5\/(-5)) + (-76)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 29, 69, 135, 233?\n\"Answer: c**3 + 4*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.855201213 to two dps.\nAnswer: -7.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00176444 rounded to five dps?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 + 84458*n**2\/9 - 99076272*n + 99066888.\nAnswer: -2*(n - 21114)**2*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1733*x**2 - 3*x + 3*x + 3482*x**2 - 1750*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 428.28 - 431. Let y = 2.71 + z. What is the smallest value in -0.4, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11*y - 75*y - 3.\nAnswer: -64*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3 + 11 + 5*p**2 - 54*p**3 - 7*p + 55*p**3 + 2*p. Let o be d(-6). Let n = 5 - 3. Solve -n*t + 8 = o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 312, 347, 378, 411, 452, 507?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100101111011000100110 (base 2) to base 16\nAnswer: -32f626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22003559 to the nearest integer?\nAnswer: 4691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1572665 + 2324165. What is l rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 5*y**2 - 4. Let s(n) = n**2 - 13*n + 5. Let m be s(13). Determine c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:52 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141693 - 283360 + 141667 + 161*j**2.\nAnswer: 161*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2766216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-175))\/(34\/85)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 12*w**2 + 10*w - 11. Let a be c(-11). Suppose a = 5*x - 488 + 3. Let i = x - 93. Solve l + i*l = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**6\/20 + 55*f**3\/6 + 68*f. Let o(l) be the second derivative of v(l). Let r(a) = -5*a**2. Give r(o(y)).\nAnswer: -1620*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from friaf. What is prob of sequence if?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*y + 63*y - 205*y + 76*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 + 3*p + p**2 + 13*p - 7*p**2 to r*p + v + k*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 39. Does 8 divide 50 + r*(4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53573038698 - 53573038698 + 6*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185433 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40653 less than 134.2?\nAnswer: 40787.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2184)\/1365*10\/(-24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1142 (b) 2 (c) -4 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 23972.3 nanograms?\nAnswer: 0.0239723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56668, 113335, 170002, 226669?\nAnswer: 283336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12509.\nAnswer: 7, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26025 is divided by 6497.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*d**4 - 70*d**4 - 5*d**3 + 143*d**4 + 18)*(19 - 37 + 15) to the form b + r*d**2 + n*d**4 + x*d + m*d**3 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1497 in -220, 3, -0.3, -18, -0.2?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 9:25 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 - 2*i**3 + 4*i**3)*((-2*i + 2*i + 2*i)*(0*i - 2*i + 5*i) + 2*i**2 + 2*i**2 - 2*i**2).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -321 divided by 4\nAnswer: -321\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -545071*-32\nAnswer: 17442272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (99\/(-30)*(5 + 119))\/((-8)\/20). What is the highest common factor of 744 and d?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-12 + -1))*(24435\/3801 - (2 + 5))?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-192)\/28 - -3) + 2\/(-14). Is -5 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/78095 + 4197121\/142054805. Find the common denominator of f and -5.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 152 + 5700 = 10*a. Calculate the highest common factor of 285 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34412525 (base 6) to base 2.\nAnswer: -100000010101010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -9361\/5 and -1871 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n + 76*n + 284 - 2020 = -13*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3869430074.\nAnswer: 2, 2269, 852673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0.4 (c) -1 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (7 - (2 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + (-210)\/(-12))*1127246 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-90)*30)\/((-2)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. Suppose 0 = -f - h, -3 = 3*q + f + 2*f. Let l = q - -36. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u**3 - u)*(-33*u - 25*u - 4*u)*(6 - 3 + 0) - 5*u**3 - 6*u**4 + 5*u**3.\nAnswer: 366*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -2*3\/6. Suppose -c*y = -0*y - 38. Suppose 2*l - 3*l = -y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164305.7401442 plus -0.3?\nAnswer: 164305.4401442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51085, 51090, 51097, 51106?\n\"Answer: a**2 + 2*a + 51082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -51*v**2 - 211*v + 579. Calculate w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + -2 + 3 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 24. Let q(s) = 129*s + 188. What is 8*c(a) - q(a)?\nAnswer: -121*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - k**2 + k. Let v be f(1). Let b be ((-78)\/9)\/(v\/(-48)). Suppose -i + 124 = z + 12, 2*i - 2*z = b. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*r + 13*r - 2005 - 345 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 6:28 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 2*u**2 + 6*u**3 - 5*u**3 - 6*u - u**2 - 7. Let b be y(-5). What is the common denominator of -2\/11 and b + -1 + (-316)\/24?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -14. Let x(v) be the second derivative of 0*v**3 - 5\/2*v**2 + 4\/15*v**i + 0*v**5 + 0*v**4 + 0 + 8*v. What is the derivative of x(l) wrt l?\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -1\/3*i**3 + 20*i + 64\/3 + 4*i**2 = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 divided by 55?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + g + 39, 3*g = 2*k + k - 33. Let r(m) = -3*m**2 + 44*m - 21. Does 2 divide r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(280\/21))\/((63\/126)\/((-4)\/6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 6. Let q be c(0). Suppose -33 = q*j + 291. What is the tens digit of 50\/3*j\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -260, -242, -200, -122, 4, 190, 448, 790?\n\"Answer: 2*o**3 + 4*o - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1552 = -f, -m = 4*m - 5. Let t = f - -507. What is the units digit of t\/(-12) + (-4)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 188 = -2*i, -19 + 23 = i. Sort -3, -2, g.\nAnswer: g, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1490*s**2 - 1081*s**2 - 414*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**4 + x**2 + 32326*x - 6972550 with respect to x.\nAnswer: -4*x**3 + 2*x + 32326","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*s = 115044, 4*n + 8*s = 4*s + 115032. Let d = n + -17181. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/112 and (175\/7700)\/(189\/(-501))?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -70*u + 61*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 3:01 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -44. Suppose -k + 65 = 4*k. Suppose -o*l + 2*l + k = n, -5*n + 89 = -4*l. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 63554448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -30570\nAnswer: -15285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + k = -2, -6*l + 5*l - 2*k - 5 = 0. Solve 2*w + 0 = 4*p + 2, -w = 5*p - l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35918*l**3*n*y**2 + 91*l**3*n*y + l**3 - 2*l**2*n*y**2 - 2*l**2*y**2 + 85*l*y**2 - 1321*n*y + 2 wrt l?\nAnswer: 215508*n*y**2 + 546*n*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-14) + (4 - (7 - 4)). Which is the nearest to -1? (a) -0.2 (b) 2\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -2*v - 4*n, -5*n = -3*n. What is the hundreds digit of (v + -1)*(-32 - -33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w + 47*w + 168 = 0. Let o = 45 - w. Solve -15 = -c - 4*u, 5*c - 3*c - 3*u = -o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6 + 8, -4*o - 64 = -5*r. Calculate the remainder when 107 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/5))**32\/(c\/(c**1*c))**(1\/17) assuming c is positive.\nAnswer: c**(2181\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.052 + -0.024. Let j = 0.324 - y. What is the biggest value in j, -0.8, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -89*p**2 + 11. Determine w(2).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 + 0.07. Let j = -3749\/11 - -341. What is the nearest to 1\/2 in 3, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -14 + 24 + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2*u**3\/3 - 7*u**2\/2 + 4*u + 1. Let v be h(5). Suppose -2*j + 4 = 0, 336*j - 14 = -o + 331*j. Sort 0, v, o.\nAnswer: 0, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.83 + -6.83. Which is the closest to -16? (a) t (b) -0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269076744.\nAnswer: 2, 3, 3737177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 350273.18827 - 350271. Let p = -47 + 44.81. Let f = p + l. What is f rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 9*q + 13. Let b be i(-10). Suppose 30 = 3*f - b*r, 0 = -f - f - 2*r. Suppose 0 = -f*a + 1370 + 95. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**2 - 23*x + 16*x**2 + x**2 - 31 - 7*x**2 as j*x + y + h*x**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -133518, 1, 24 in decreasing order.\nAnswer: 24, 1, -5, -133518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*f = 405*f - 462 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2*l**2 + 4*l**2 - 4*l**2) + (245*l - 475*l + 251*l)*(4*l - 4*l - 2*l).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -254. Calculate the remainder when x is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**3 + 6*t**2 - 6*t + 2. Suppose 77*o - 624 = -72*o + 45*o. Let l(c) = 11*c**3 + 5*c**2 - 5*c + 2. Give o*l(g) - 5*n(g).\nAnswer: 6*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3af - -66a?\nAnswer: a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566696 is divided by 560.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 24.0006. Round b to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.358 * -1.\nAnswer: -3.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -184, -557, -1276, -2455, -4208, -6649?\n\"Answer: -19*n**3 - 2*n**2 - 2*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 831 + -830. What is the second biggest value in 15, -1, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -156.27 in 7\/3, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*w**3 - w**2 + 23*w + 14616 wrt w.\nAnswer: 171*w**2 - 2*w + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(2541) + -2*sqrt(2541))*-4)\/((sqrt(3) + sqrt(75))*5*4) + -1)*-1.\nAnswer: -4 - 11*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**2 - 2*i - 2. Let p(u) = 27*u**2 + 9*u + 9. Suppose 19*a - 9 = 20*a. Give a*n(z) - 2*p(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((6 + 8 + -6 - 14) + -1) - -46\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 23*q = 20*q + 9 + 13, -2*m - 461 = -95*q for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33704, -37332, -40960, -44588, -48216, -51844?\nAnswer: -55472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.652 to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from kddxdxxxxdxxkdkdkd?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 - -3.09936. Round i to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 - 90392*c - 723008 = 0. What is c?\nAnswer: -45188, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:10 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (48 - 77) - -50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqzv when four letters picked without replacement from {n: 4, z: 1, q: 5, v: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 10*k - 4. Let a(j) = j**2 + 9*j - 3. Let f(l) = 3*a(l) - 2*c(l). What is the remainder when 40 is divided by f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3823 + 86377 = -1804*l for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -301, -289?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.6. What is the closest to 0 in i, -5, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -144736.\nAnswer: -11578.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4793, 9585, 14375, 19163, 23949, 28733?\nAnswer: 33515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, s: 4}. Give prob of sequence ls.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwbqgbsbqbbqbwbsww. Give prob of picking 1 g, 1 s, and 2 q.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + z)*(1 + 0 - 3)*(72 - 29 - 348)*(-2*z**3 - z**3 - 3*z**3).\nAnswer: 3660*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 19*i**4\/12 - 9*i**2\/2 + 11*i. What is the first derivative of q(z) wrt z?\nAnswer: 38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401 divided by -28.\nAnswer: 401\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -1\/2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from {w: 3, p: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/8 - 6*x**4 - 99903*x**3\/8 - 124485*x**2\/2 = 0. What is x?\nAnswer: -172, -5, 0, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 169. Suppose 245*s + 71*s = -39*s + 12070. What is t(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**3 - 4*t**2. Let r(l) = l**3 - l**2 - l. What is -2*r(a) + w(a)?\nAnswer: 6*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 2*x**2 - 9*x + 5. Let y be n(3). Let o(l) = 2*l**3 - 28*l**2 + l - 11. Let c be o(y). What are the prime factors of -4 - 18\/(42\/15 - c)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:58 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -341 - -343. Let x(j) = 0 + 31*j**2 + 0 - 18*j**y + 3 - 12*j**2 - 2*j. Determine x(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/2 + 53*g**3\/2 - 2063*g**2\/2 + 16155*g\/2 - 18225 = 0 for g.\nAnswer: -81, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*p + 27. Solve 2*o + 3*r + 32 = -2*o, -20 = p*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 49*f = -16*v + 46*f + 11, 6*f = 5*v + f + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 30*o + 26. Let f be y(-29). Let n(c) = 7*c**3 - c**2. Let r be n(1). Suppose r*d = 2*d - 20. Sort f, d, -1 in descending order.\nAnswer: -1, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 1854630?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 - 1765 = -r. What is r rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.37, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -37611*g - 338509. Give p(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 e when four letters picked without replacement from {c: 1, h: 3, e: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1219 - -1224. Let b(h) be the second derivative of 0*h**2 + 0 + 1\/15*h**v - 4\/9*h**3 + 1\/9*h**4 - 11*h. Solve b(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2343*f**2 - 5407*f**2 + 1898*f**2 + 4 - 4.\nAnswer: -1166*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-64) + (-9)\/144. Let t = 1.6 + -2. What is the nearest to t in i, -4, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -4. Let z = -4.436 + 0.036. Let d = z - h. What is the smallest value in 3, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106236550 and 39256.\nAnswer: 9814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*m + 3)*(-2*m + 4*m - 4*m) + 280*m**2 + 3 + 179*m**2 - 164*m**2 + 0*m**2 + m**2 - 2*m**2 as i*m + r + u*m**2 and give u.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.87250136 + 0.1.\nAnswer: 2.97250136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iim when three letters picked without replacement from {m: 2, i: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 7*y\/5 + 44\/5.\nAnswer: -(y - 11)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/48846904 and 67\/56.\nAnswer: 341928328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33939 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 23*r - 139 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 36 = -o. Suppose 10 = -o*p + 4. Let z(y) = -16*y**3 + y**2 + y + 1. Let n be z(p). What is the highest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/143 and -62\/3.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 1344.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 12 = 4*d, 22*l - 3*d = 17*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1990 = -10*s + 5900. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8967103 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 8. Let r = -14 + 8. Let z be i(r). Solve 2\/5*b**z + 2\/5*b + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = 13. What is the hundreds digit of (-834)\/(-9)*18\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 3*u + 8, 32*u - 37*u - 24 = -2*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5 = h, -21*h + 16*h - 23 = 27 - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.12. Let o = 50094 + -50093.919913. Let y = l + o. Round y to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4432, -8854, -13262, -17650, -22012, -26342?\n\"Answer: o**3 + o**2 - 4432*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38\/6 + (-545)\/(-327)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = -2*v, v - 4*y - 32 = -3*v. Suppose 0 = v*r - 5*m + m - 274, 5*r - 455 = 5*m. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnnddvkvddsnsnvddd. What is prob of sequence skv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 64*l - 10. Let f(p) = -58*p + 8. Let y(m) = 5*f(m) + 4*r(m). Let d(t) = -9*t**2. Give d(y(g)).\nAnswer: -10404*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63981021220.8 + -340.\nAnswer: -63981021560.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:52 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.1, 2\/19, 98, 18 in decreasing order.\nAnswer: 98, 18, 9, 2\/19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5*t**4\/4 - t**3 + 3*t - 3. Let g(d) = -d**3 - d**2 - d + 1. Determine 3*g(k) - s(k).\nAnswer: 2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 26852*c - 1912608.\nAnswer: -4*(c + 72)*(c + 6641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, -0.7, -3\/4, -15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1794 from -82.\nAnswer: -81.8206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1027*l + 7193. Give a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30155138, -30155142, -30155146, -30155150?\n\"Answer: -4*v - 30155134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.07 + 1.1.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-198)\/(-15))\/(2\/(-150)). Let z be (2\/3)\/(44\/b). Let f = 18 - 36. Is f less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 less than or equal to -21140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -286 + 423. Let q = i - 95. Suppose 4*f = 2*f + q. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 0*u + 1\/8*u**2 - 1\/12*u**3 - 1. Suppose y(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15161 and 8.\nAnswer: 121288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 4 = -3*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 189\/(-14))*240\/(-195)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, c: 1}. Give prob of picking 1 v and 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 902865292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 264 + -266. Let p(d) = -4*d**2 + 2*d + 3. Let c(z) = -9*z**2 + 4*z + 8. Let s(t) = q*c(t) + 5*p(t). Determine s(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3887919 is divided by 146.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46076.86 tonnes to kilograms.\nAnswer: 46076860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3442474214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 + 6*t**2 - 4*t + 21. Let j be h(6). What is the first derivative of -j*l - 15 - 14*l**2 + 1077*l wrt l?\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 + 15*v - 10. Let x(p) = -10*p**2 + 36*p - 24. Let g(n) = -12*q(n) + 5*x(n). Let c(i) = -6261*i**2. Give g(c(o)).\nAnswer: -78400242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/(-54) - (-11)\/2. Let r(a) = 10*a**2 + 10*a - 49. List the prime factors of r(n).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1146 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1612487*j + 20913*j**3 - 1612487*j.\nAnswer: 20913*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 6. Let m be s(-5). Suppose 11*k - 7*k = m. Suppose 40 = k*n - 2*n. Solve 0*f + 2*f = n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20)\/((-135)\/50) - (-296)\/36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43004 is divided by 318?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c + 2. Suppose -3*n + c*n = -10. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -1.3. Let j = 1.88 + -1.15. Let l = j + -0.73. What is the smallest value in l, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 27 - 67. Let w be (-1)\/i*(1 - 5). Let l be 0\/2 + (-42)\/(-70). Which is the nearest to 3\/2? (a) l (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/5 + 7928*w**4\/5 - 238873*w**3\/5 - 1058516*w**2\/5 - 811716*w\/5 = 0. Calculate w.\nAnswer: -7958, -3, -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -10055.3?\nAnswer: 10055.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*w - 33. Let l(j) = -j + 15. Let o be l(w). Suppose 0 = o*s + 3*s + 4*g - 14, 5*g = 5. Solve -2*r - 5*b - 15 = 0, 2*r + 4*b + 12 = s*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + 0 + 38).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 6 + 1 = -5*h, c = -4*h + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 6. Solve 3*d - 3 = 3*l, -8 = 8*l - r*l - 3*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(637) - -2*sqrt(637))**2 + -6*(sqrt(637)*-2 - sqrt(637)) + 2)*6*-6.\nAnswer: -619236 - 4536*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3) + (2 + -32 - (6 + 0))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -364 + -2542?\nAnswer: -3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 403, 402, 401, 400?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) + 2))**2*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, 15, 43, 75, 111, 151?\n\"Answer: 2*g**2 + 18*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*a**2 - 197*a?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**2 + w + 1\/15*w**4 - 1\/50*w**5 + 0*w**3 + 0. Suppose u(y) = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139384847 to the power of 1\/3, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 773 in 2, -5, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*v - 266 - 7, b - 4*v - 69 = 0. Suppose -2*t + 0*m = -m - b, 0 = 2*t - 3*m - 47. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -5 - (-5)\/(-5). Sort -1, 3, p in increasing order.\nAnswer: p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(270\/(-20)))\/(14\/441)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 11. Let r be i(-7). Suppose -2*u + r*u + 2*k - 32 = 0, -u + 3*k = -37. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 25*k = -p + 2494, -5*k = -5*p + 12500. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**3 + 53*y**2 + 635*y - 12. What is the ten thousands digit of g(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4248896445 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 373993576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25*j**2 + j - 6. Calculate the lowest common multiple of 6 and t(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265780, 531561, 797342, 1063123, 1328904?\nAnswer: 1594685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.2386 centuries to millennia.\nAnswer: 3.72386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose -x*n = -3*b - 1, 4*n - 5*b + 1 - 2 = 0. Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 0.00439745.\nAnswer: 0.0002198725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 42, 65, 88?\n\"Answer: 23*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2558093 + 0.056\nAnswer: -2558092.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 32884154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -22*m**2 + 35*m - 13. Let d be z(6). Let c = d - -599. Solve c*h - 12 = 4*s, 3*h + 8 = 4*s + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(475) + -1) - -6*(sqrt(475) + sqrt(475) + 1))**2.\nAnswer: 2310*sqrt(19) + 70188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**4\/8 + 43*g**3\/4 + 135*g**2\/2 + g + 412. Find z such that s(z) = 0.\nAnswer: -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32589872 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k + 72. Let m = 21 - -1. Is 16 a factor of k\/(m\/(-8) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - (-3)\/(-4))\/(513\/(-9348)*8) and 1\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/15*-4*6\/(-4). Solve 20 = b*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 9*r + 12. Suppose 0*f = -3*f - 30. Let b be d(f). Let x(t) = b + 0 + t - 4 + 4. Let s(o) = -2*o - 6. Calculate -3*s(v) - 8*x(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -13*s - 50 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-13 + 13 + 8*d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12780 and 8820?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*v - 161*v + 11895256 = 166*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17461 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-7)*1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.115 * -16486.2.\nAnswer: -1895.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9 - f**3 - f**2 + 0*f**2 + 8*f**2. Let d be j(7). Suppose -7*y + d = -4*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*k - 3*h, 3*k + 2*h - 3*h - 14 = 0. Let a be 9\/((-1)\/(-14)*k). Let t = -14 + a. What is the greatest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 505.994\nAnswer: -507.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2*j. Let h be v(-2). Let o(q) = 4*q**3 + 0*q - 5*q**3 + h - 4*q - 2*q + 7*q**2. Determine o(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20279445 to the nearest integer?\nAnswer: 4503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/4 + 17*o**3\/3 + 9*o**2 + 24*o + 111. What is r(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1928, 3763, 5496, 7127, 8656?\n\"Answer: -51*i**2 + 1988*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 19 + 7 = 0. Suppose -26*d + n*d + 2352 = 0. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17201*c**5 - 4186*c wrt c.\nAnswer: 344020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 + 9*k - 10. What is the least common multiple of 71 and g(7)?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 - -412.1. Let i = -9430\/1457 - -198\/31. Let u = -227\/94 + i. Sort u, -4\/3, h, 3.\nAnswer: u, -4\/3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -23. What is the greatest common divisor of n and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4 + (4 - 7 - 5)*(1 - 5 + 3))*(-29*v**5 + 10*v**5 + 17*v**5).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:42 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.004178 + 41.024822. Let h = f - 41. Let j = -0.076 + h. What is j rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21337350.6 less than 0.5?\nAnswer: -21337350.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 + 52*x**3 + 88*x**2 = 0.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7682458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2\/5 - 96*o + 476\/5 = 0 for o.\nAnswer: 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632227 + 388014 = -2212*p - 5272*p + 271841 for p.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 + 12.69. Let j be (13\/52)\/((-2)\/12). Sort 4\/3, 0, s, j in descending order.\nAnswer: s, 4\/3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*f - 175*f = -5808. Calculate the remainder when f is divided by -129*(-7)\/105 - 4\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:57 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 340009 (base 10) in base 8?\nAnswer: 1230051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/11)*x**(-1\/13) assuming x is positive.\nAnswer: x**(-63\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - -0.07. Put -0.1, 0.05, h in descending order.\nAnswer: 0.05, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.873599 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n**5 + 0 + 0*n**4 - 110*n**2 + 0*n - 46\/3*n**3 - 149\/120*n**6. What is the first derivative of b(m) wrt m?\nAnswer: -447*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**2*i*i*i*i))**(-2\/13)\/((i**6\/i)\/(i\/((i*i\/(i*i**(-5\/6))*i)\/i))))**(-28))**40 assuming i is positive.\nAnswer: i**(214480\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/5 - 1605698*u**2\/5 + 1605704*u\/5 + 642280 = 0.\nAnswer: -802850, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -35026*j**3 + 11*j**2 + 22*j + 11. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171\/2 - -83. What is the nearest to -1\/5 in z, 0.7, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.54 + 0.64. Which is the fourth smallest value? (a) -2 (b) i (c) 2\/19 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279510 is divided by 2386.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**4 - 87*h**3 - 447*h**2 - 777*h - 414 = 0.\nAnswer: -23, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1244609 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -144*g - 25. Let c be (-2)\/(-8)*2*-6. Is y(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -34024094?\nAnswer: -34024101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a572e (base 15) to base 14.\nAnswer: 963962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 6*s**2 + 3*s - 16. Let q be n(-3). Suppose -2 = q*j, 5*d - 11 = -j - 2. Determine p so that 1\/2 - 1\/6*p**d + 1\/3*p = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41171.694 - 41212. What is a rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14474 (base 9) to base 7\nAnswer: -40525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -1735*a + 1730*a, 0 = -a - 5*r + 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 + 6*s + 1. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565 + 2376 = -98*y + 1365 - 2128 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.86 times -39306\nAnswer: -112415.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from zzzvzyyv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 335\/9. Factor 0 - 4\/9*b + n*b**2.\nAnswer: 2*b*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/10 - (-56)\/40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*r**3 + 741*r**2 - 29526*r - 8496.\nAnswer: 3*(r - 24)*(r + 59)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31752002, 63503999, 95255996?\nAnswer: 127007993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2762\/7, -3, -67, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 7. Let b = m + 1.8. Let v be (-14)\/49 - 1\/(-7). Sort b, v, 1.\nAnswer: b, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/((-715)\/(-22)))\/(-75).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 544*r - 55394. What is a(103)?\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u + 9. Let g(q) = -5*q + 9. Let t(k) = 5*c(k) - 6*g(k). Let z be t(2). Find the common denominator of (5\/105)\/(z\/(-41)) and 89\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1575877 or -11031136\/7?\nAnswer: -1575877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = -4*c - 163. Calculate the highest common divisor of c and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 0.5 (c) -8\/3 (d) -0.06 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0.595 (c) -4 (d) -2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 1134 - 920. Let q = -212 + n. Solve q*f = 3*h + 3, -f + 4*h = f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 1. Let y(h) = -640*h**3 + 24*h**2 - 664. Let n(u) = -y(u) + 12*z(u). Differentiate n(r) wrt r.\nAnswer: 1920*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 7*d - l, -3555*d + 5*l + 65 = -3560*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o. Suppose -j - 4*c = -137, o*c + 3*c + 593 = 5*j. Let k = j - 42. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 9*s + 46*s**2 + 217*s**2 - 4*s - 5*s.\nAnswer: 265*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 - 4. Let i be z(-4). Let o be 12\/(-16) + (-19)\/i. Suppose -4*a = o - 100. What is the highest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -62. Let d = 44.9999544 - x. Round d to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 224*h**2 + 2*h - 190*h**3 - 222*h**2 - 1 + 221*h**3 to f*h + c*h**3 + w*h**2 + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72026 - 72030. Let p = 0.2 + -0.2. Let i = 0.2 - p. What is the third smallest value in y, i, -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53c (base 16) in base 8?\nAnswer: -2474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*b = r - 3, 2*r - b = 9. Let h = 14 - 9. Let m be (-77)\/14 - 1\/(12\/(-18)). What is the nearest to 1 in m, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 153.9 and -0.5?\nAnswer: -76.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14319 and 645.\nAnswer: 71595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d + 16. Let i be x(-6). Suppose -3*p - 4*z = -p - 86, -p + z = -i. Suppose -3*l + 16 = -p. What is the highest common divisor of l and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570489367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -122120212 (base 3) in base 4?\nAnswer: -3020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3848996848.\nAnswer: 2, 83, 1447, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02200524912 rounded to five decimal places?\nAnswer: -0.02201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1895 - 2688. Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0045 and -4?\nAnswer: 4.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 49*h**2 - 28*h + 42. Let x be v(23). Let t = x + 361. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 1. Let n be 4\/((-8)\/6) + 1. Let i(s) = -15*s**2 + 10*s + 2. Let m(w) = n*u(w) - i(w). What is the second derivative of m(z) wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15 = a, -3*a - 18 = -12. Let t(u) = -u - 8. Give t(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 1. Let s be d(-1). Differentiate 4*r**2 - r + 7*r + 45 - 3*r - 14*r**s with respect to r.\nAnswer: -20*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 2*z - 2. Let n(f) = 2*f**2 + 5*f + 5. Let k(m) = -5*a(m) - 2*n(m). Factor k(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-8)*(-1516)\/(-132650))\/(2\/(-4)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152 + -545544?\nAnswer: -545352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79334 (base 11) to base 3.\nAnswer: 12211120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9451 rounded to two decimal places?\nAnswer: -12.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87003445 is divided by 6692572.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 12316 - 27180 = -154916. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*k + 1 + 0 - 1 + 112*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5207, -5226, -5257, -5300, -5355?\n\"Answer: -6*m**2 - m - 5200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 817 - 814. Factor 854*i**z + 142 + 419904*i + 4*i**5 - 142 + 288*i**4 + 6922*i**3 + 93312*i**2.\nAnswer: 4*i*(i + 18)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.4 (c) 3 (d) -13 (e) 0.02 (f) -203 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3177967 and 214.\nAnswer: -68.0084938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/5 - 438*m**4\/5 + 27038*m**3\/5 - 299706*m**2\/5 - 483992*m + 2693064\/5 = 0.\nAnswer: -6, 1, 22, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 5*c - 1. Let a be k(4). Suppose -213 + 906 = -a*q. Find the common denominator of -65\/14 and q\/54 + 1\/1.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 - 57769000*k**2\/9 - 115537994*k\/9 - 19256332\/3.\nAnswer: -2*(k + 1)**2*(k + 28884498)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2341 + 2277. Let n(h) = 37*h**3 - 3*h**2 + 3. Let r(u) = 776*u**3 - 64*u**2 + 64. What is p*n(m) + 3*r(m)?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182882, -4, -5, -2 in descending order.\nAnswer: -2, -4, -5, -182882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21318199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**9\/1680 - p**7\/360 - p**4\/3 + 3*p. Let b(r) be the third derivative of k(r). Find the third derivative of b(n) wrt n.\nAnswer: -216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2720 and 187\/308160.\nAnswer: 5238720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2585 + -0.24. Round p to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1413 by 19.\nAnswer: 1413\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6006, 11703, 17400, 23097?\n\"Answer: 5697*u + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 76. Let g be (-87)\/(-12) + 2\/(24\/9). Differentiate -9*m + c*m + 6 + 24 - g wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 + 26*h**3 + 19*h**2 - 5 wrt h?\nAnswer: -120*h**3 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-12)\/(-6))*(3 - 6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 9*w + 96. Suppose 4*d - b - w = 2*b, 9 = d - b. Calculate the remainder when 29 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o + 128. Let n = 94 + o. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - g = 16, 94*m - 91*m - 10 = -5*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/186 and 95\/352.\nAnswer: 32736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1200354 (base 6) to base 2\nAnswer: -1111001110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + 4*o**2 - o + o**4 + 8*o**2 - 11*o**2 + 45 + 28 - 3*o**3 as t + c*o + s*o**3 + h*o**4 + g*o**2 and give t.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y\/(y*y*y*y*y**(1\/12)*y*y))\/y))*y*y)\/y)\/y**(2\/47) assuming y is positive.\nAnswer: y**(-2891\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -54.5. Let q = -9.4999922 - r. What is q rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 66*a - 65. Let v be s(-35). What is the greatest common factor of v and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162844968 divided by -598?\nAnswer: -272316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55020*v**2*y - 138*v**2 - 66*v*y - 2677*v + 5 wrt y?\nAnswer: -55020*v**2 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -460*l**2 + 33*l - 35. Let d(a) = 3*a**2 + 2*a - 2. Determine -34*d(n) + 2*z(n).\nAnswer: -1022*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 90*g**3 + 5*g**4 - 12*g**3 - 54*g**3 + 19*g**3 to y*g + d + o*g**2 + u*g**3 + z*g**4 and give u.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 2, r: 7, f: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/18 - 13*k**3\/9 + 14*k**2\/3 - k. Find v such that t(v) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-7))\/d*d)\/(d**(-5\/6)*d)*(d\/(d\/((d**(-7)\/d)\/d))*d)\/(d\/(d*d**7*d)))\/((d**0\/d*d)**(7\/8)*(d**(1\/4))**(-3\/8)) assuming d is positive.\nAnswer: d**(761\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 bigger than -2718572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 2 = -17*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75099 or -75845?\nAnswer: -75845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.191725305 to five dps.\nAnswer: 0.19173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -385*v - 12. Let y(b) = -2*b + 2. Determine -g(m) - 6*y(m).\nAnswer: 397*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 85. Suppose 0*d - f = -2*d. Does 2 divide (-13)\/d + (-17)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -474*o - 16126. What is q(-34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5)*k)\/k)**(22\/7)\/(k**(2\/7))**45 assuming k is positive.\nAnswer: k**(-296\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/5)\/(5\/(-10)). Which is the second smallest value? (a) -2\/7 (b) 0.53 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -460, -526, -616, -730, -868, -1030?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 329\/1326 - 272713\/762450. What is the common denominator of y and -30\/161?\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l*l**(5\/8))\/((l*l**(-13))\/(l\/l**(-35\/6))) assuming l is positive.\nAnswer: l**(443\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 12*y + 9. Let s be n(-12). Let c = -4 + s. Solve -c*g - 15 = 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -21*x. Let j be n(-4). Suppose 7*k - 10*k + j = 0. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/(1*3\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t + 74. Let h be s(0). Suppose -294 = -2*w + h. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 29 (b) -2\/9 (c) -0.1 (d) -0.2 (e) -22\/39 (f) -2\/3 (g) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.114 and 170123.6073296?\nAnswer: 170123.7213296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t + 2*t - 2*t + 3*t - 4*t - t + 2*t + 0*t + (t + 2*t - 2*t)*(-2 - 2 + 5) + 2*t - 3*t - t)*(4*t**2 - 2*t**2 + t**2).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -28*m**3 - 2*m + 2. Calculate w(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4097 and 60062020.\nAnswer: 4097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 23. Determine j(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:03 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 39 = -5*y, -1671*y + 1690*y = -57 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 54086 (c) 0.4 (d) -43 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9 + 4*i**3 - 2*i**2 + 9 + 2 + 2*i. Let c be f(3). Let s = 159 - c. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 29*q**2 + 1536*q - 50321. What is r(20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 233 + -217. Solve -t + 3*x - 6 = -4*t, 2*t + g = 3*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2074 - -2120. Let i = -5.8 - -6.3. What is the third biggest value in 3, s, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 - 5.3. Let k = -2.5 - u. Which is the third biggest value? (a) 1\/10 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 20 = -20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -526\/17 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from {x: 5, k: 2, s: 7}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:12 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -474*n + 412*n. Solve -b - n + 15 = -f, -f = -3*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404*l - 54228 - 33 = 25767 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(-2) + 4\/8. Let f = q + -11. Suppose -d + 3*r = -10, -r = -2*d + 4*r + 17. Solve -f = 5*c + d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7431843695139 - 0\nAnswer: 7431843695139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 151235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**18*c\/(c\/(c**(8\/9)*c*c)) assuming c is positive.\nAnswer: c**(197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9960 and 264.\nAnswer: 109560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*v + 57 - 20, b = 4*v + 11. Let n = 9 - b. Solve 5*t**n + 8*t + 4*t**2 - 3 + 5 - t**2 = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 42714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 5*i - 26*i + 15*i.\nAnswer: 3*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843200 a multiple of 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)\/a**(-5))\/(a**5\/a**(-6)) assuming a is positive.\nAnswer: a**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5\/3 + 40*g**4 - 100*g**3 - 1040*g**2\/3 = 0. What is g?\nAnswer: -26, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3704 and -28*(-2 - 115\/(-20))*(-16)\/42?\nAnswer: 18520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/35)\/(-2)*(-1)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 9*m + 131. Let f(u) be the third derivative of 0*u + 0 + m*u**2 + 1\/6*u**3 - 1\/12*u**4. Give f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+3983287518\nAnswer: 3983287514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*i - 9*i + 111*i)*(2 + 2*i - 2).\nAnswer: 312*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14536 - 14536 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003221 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 + -0.21. Let x = 0.16 + l. Which is the nearest to 0.1? (a) 1 (b) x (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 2559*j - 7. Let w(s) = s**2. What is m(w(l))?\nAnswer: -2*l**4 + 2559*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 182\/49 - (-5)\/(70\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -44. Let g be v\/(0 - 4) - -3. Suppose 3 = -l - 5*y, 0*l + g*y + 59 = 3*l. What is the remainder when 31 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6786, 5, -3, 19, 36 in descending order.\nAnswer: 6786, 36, 19, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 4*n - 2. Let c(x) = -4*x**2 - 3*x + 0*x + 8 - 10 + 4. Give -4*c(k) - 3*r(k).\nAnswer: 7*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95055725 divided by -5?\nAnswer: -19011145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001123375373 rounded to seven dps?\nAnswer: -0.0001123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30402 (base 5) to base 12.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39\/10*w + 4\/5*w**2 - 1\/2.\nAnswer: (w + 5)*(8*w - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**2 + 0*g + 0*g - 1. Let v(r) = -147*r + 43*r + 53*r + 45*r. Determine -7*q(l) + 5*v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0042, 14, -1\/2, 5 in decreasing order.\nAnswer: 14, 5, 0.0042, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 3, f: 11}. What is prob of sequence fokk?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1196*n**3*y**3 + 3*n**2 - 81*n*y**3 wrt n?\nAnswer: -7176*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 40 = -2*x. Let d = -12 - x. What is the common denominator of 139\/6 and d\/12 - 20\/(-42)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x. Suppose -4*o + h + h - 4 = 0, -h = -5*o + 1. What is i(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 76*t - 1091 = 334 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 12930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79250723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103391 or -103392?\nAnswer: -103392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -902.\nAnswer: -35\/902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.008 (c) 77 (d) 14\/3 (e) 1 (f) 0.04 (g) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450009 divided by -2381.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 - a - 1. Let b(i) = -930*i**3 - 8*i**2 + 14*i - 8. Let r(w) = b(w) + 8*m(w). Let d be r(-8). What is d rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41591*y**3 + 43518*y?\nAnswer: 249546*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3038 - 3033. Let f(d) be the first derivative of 0*d**3 + 0*d**2 - 47 - 3\/5*d**4 + 0*d + 4\/25*d**n. Solve f(t) = 0 for t.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 5888.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44129478433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/(-255))\/(1\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 621 - 620.8. What is the closest to c in -0.4, -4, -4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3\/5 + 12*u**2 + 48*u\/5 - 112\/5 = 0.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -20921\/38743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -42*a. Let v(r) = 75*r - 45. Let m(w) = -100*w + 58. Let d(b) = 7*m(b) + 9*v(b). Give x(d(j)).\nAnswer: 1050*j - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -475247, -475255, -475263?\n\"Answer: -8*a - 475239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -5*j, 4*c + 4*j - 11 - 1 = 0. What is the second derivative of 3*a**3 + 3 - a**c + 26*a**3 + 9*a**3 - a**2 - 3*a wrt a?\nAnswer: 228*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634907 equal to 1634929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times -8?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 3. Give h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5324790?\nAnswer: 2, 3, 5, 177493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 15224368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-1))\/(-3 + 57\/21). Suppose 5*k + 5*j = 1320, 1341 = -9*k + a*k - 2*j. Is k less than 267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovu when three letters picked without replacement from vvbuvuouuo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w = -5*y + 23, -3*y + 2237 - 1120 = 4*w + 1127 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 110*o - 94. Let s be (-2)\/(-2) - 3 - -95. Suppose -2*c - 31 = -s. Calculate the remainder when c is divided by t(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 12798*z**2 + 12602784*z + 3395940224.\nAnswer: 2*(z + 568)**2*(z + 5263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/1008 - o**5\/30 - 3*o**2. Let b(i) be the third derivative of s(i). Let j(c) = -2*c**2. What is j(b(l))?\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 32. Let p(o) be the second derivative of h*o - 1\/20*o**5 + 0*o**3 + 0*o**4 + o**2 + 0. Find the first derivative of p(a) wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447232323 a multiple of 1719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -220, -427, -622, -799, -952?\n\"Answer: k**3 - 214*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -3, -1 in decreasing order.\nAnswer: 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 67*c**7\/105 + c**4\/3 + 4*c**3\/3 + 48*c**2 - c. Find the second derivative of b(f) wrt f.\nAnswer: 1608*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z**2. Let a(u) = -4*u - u + 2*u + u. Give o(a(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/38195190 and -157\/10416870?\nAnswer: 114585570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 33569.\nAnswer: -2\/33569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 537*p**2 - 1069*p**2 + 532*p**2 + 629*p**3 + (-4*p + 4*p + 2*p**3)*(1 - 4 + 5) to k + i*p + j*p**3 + a*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**3 - 11*z**2 - 2*z - 9. Let h be q(-3). Solve -7*f = -13*f - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435497299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3744084558?\nAnswer: 2, 3, 19, 601, 54647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 10, 0 = 3*y + y - 3*o - 23. Let r = -19 + 20. Calculate the greatest common factor of r and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15b1b - -7d3?\nAnswer: 163ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k + 1. Let x be g(1). Let s = 24 - 22. Let l = x - s. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, d: 5, u: 4, m: 5}. Give prob of picking 2 u.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000085023081 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 369922979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/115, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186243 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -614 (base 9) in base 6?\nAnswer: -2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -1\/14 (c) 4\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**2 + 15*r - 60. Let y be w(7). Suppose -440*l + 6 = -y*l. Solve l = -4*p + 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - ((-1980)\/27)\/(-11). Suppose 1\/3*r + k*r**2 - 2 = 0. What is r?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*2*sqrt(240) - sqrt(240))\/((sqrt(360)\/(sqrt(6)*-1))\/sqrt(5)).\nAnswer: 110*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/884 and -139\/156.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 1) + 45\/(-15). Let f = -43 + 50. Suppose h = -4*i - f + 15. Solve 15 = i*a + 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -4\/18863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(0*u**2 - 4*u**2 + 3*u**2) + (2*u - 4*u + 3*u)*(u - 3 + 3) + (-u**2 + 5*u - 5*u)*(1 - 3 + 0).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1690*d**5 - 67*d**4 - 2*d**3 + 3*d**2 + 9991*d + 7 wrt d.\nAnswer: 101400*d**2 - 1608*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -67*b + 63*b - 816, 4*m - b - 1604 = 0. What is the greatest common divisor of 368 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**2 - 272*o + 8965. Calculate g(-67).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/4 + 4371*y\/2 - 8741\/4 = 0. What is y?\nAnswer: 1, 8741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 1:15 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 4487 - 7866. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**2 - 26*d**2 - 1 - d**2 with respect to d.\nAnswer: -44*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 8451\nAnswer: 86\/8451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21122.338681 and 0.\nAnswer: -21122.338681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = 154*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-442)\/8 - ((-17871)\/92)\/37?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -25*v + 9*v + 5*v + 9*v. Let c(b) = -2*b - b + b. Calculate c(d(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111101100 - -100?\nAnswer: 101001111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 145344 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612295918.\nAnswer: 2, 163, 4945693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g + 3*g**4 + 5 - g**3 - g + 2*g in the form w*g**3 + d + u*g**2 + h*g**4 + i*g and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/12 - ((-18)\/12 - -1). What is the nearest to h in 5\/4, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - -23. Suppose -c = c - s. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 1\/360*o**5 + 0*o - 3*o**2 + 0*o**3 + 1\/48*o**4 + 0. Solve s(k) = 0 for k.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26668 and 1808.\nAnswer: 106672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5) + (-53 - -59) - (-5 + 2 - 34)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/20 - 18\/8. Let r be ((-9)\/12)\/((-42)\/16). Which is the third biggest value? (a) r (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 14. What is the highest common divisor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 4*o**2 + 2*o - 5. Suppose -j + 8 = -z, j - 3*z - 1 - 15 = 0. Suppose -3*g - 14 = i, 5*i + 37 = -0*i - j*g. What is the units digit of t(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3824, 3802, 3758, 3686, 3580, 3434?\n\"Answer: -v**3 - 5*v**2 + 3830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {n: 1, l: 7, v: 1, d: 4, h: 2, m: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 10. Let b(q) = -2*q - 4. Let r be b(0). Let d be y(r). Suppose 5*f = d*f. Solve -g + 3*g + 6 = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.549 + 0.011. Let l = b + -0.5599902. What is l rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69188.95 millilitres?\nAnswer: 69.18895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 389. Let s(a) = -3*a - 415. Determine 7*h(y) - 6*s(y).\nAnswer: -3*y - 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j - 6. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 63*q - 337. Let j be y(6). Solve -5*t = -3*l - 12, 2*l - 17 = -0*l - j*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60 - c**3 + 6318*c - 6318*c wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2044 + -6?\nAnswer: -204a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-28) - (-306)\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*z**3 + 94*z**3 - 7*z**2 - 42*z**3)*(z + 1 - 1)*(-5 - 7*z + 5).\nAnswer: -42*z**5 + 49*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 76, 188, 392, 718?\n\"Answer: 5*k**3 + k**2 + 12*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 18*f**2 - 22*f + 9. Let z be p(19). Suppose -70 = -7*w + 28. Calculate the smallest common multiple of (z\/w)\/(4\/(-14)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -64*k**2 + 63*k**2 + 4*k - 5 + 3*k. Let v be q(8). Let h = v - -29. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/48 and 13\/160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 367643, 9, -5 in increasing order.\nAnswer: -5, 9, 367643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2343 (base 7) to base 3.\nAnswer: 1012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*a - 17 = 7*y, -4*a = y + 13. Let x be 4\/12 + 15\/9. Suppose -2*j + 3*f - x = 0, f - 12 = j + 5*f. Sort -2, y, j in descending order.\nAnswer: y, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*u - 6552668 = 0, -3*p - 4*u + 365657 = 6918321. Let v = p - -793224. What is v rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120101200000 - 2021?\nAnswer: 120101120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 31. What is the greatest common factor of n and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126 - (62 - 28)) + -53?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 11. Let w = m + 7.1. Let a = -0.0191 + -0.0109. What is the fourth smallest value in a, w, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 - 1343.5.\nAnswer: -1157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 x when four letters picked without replacement from {d: 6, x: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -991.08279 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61.2757 and 8819.4.\nAnswer: 8758.1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - (-1 - -2)) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -361, -723, -1085, -1447, -1809, -2171?\n\"Answer: -362*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a**2 + 3. Let c be j(10). Let h(u) = 6*u - 11. Is 2 a factor of h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3 + 854*f**3 + 865*f**3 - 1739*f**3 - 3*f + f**2. Is 7 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*j + 108*j = -4*w + 5, w - 3*j + 1 = 0. Sort -8, w, -5 in increasing order.\nAnswer: -8, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*m)*(-83*m - 132169 + 132169).\nAnswer: -332*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 62955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 3 + 6*b**3 + 2*b**2 + 5 - 5 - 4*b**4 as z*b**3 + s*b + y*b**2 + c*b**4 + t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25\/11, 1, 4, -2577, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (-8 - (3 - 25))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11690510 rounded to the nearest ten thousand?\nAnswer: 11690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -45. Suppose -4 = -2*z - 2*a, -q*z + 11 = a + 3*a. Sort 26, -1, z in increasing order.\nAnswer: -1, z, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r. Let s = 3 + 0. Let n(q) = -s*q - 4*q + 2*q. Calculate -3*n(z) - 4*p(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108690458.\nAnswer: 2, 54345229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -5*w**4\/4 + 8*w. Let g(s) = s. What is g(o(n))?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-124)\/11 + -749 + 743.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3*w - 11*w**2 + 0 + 12*w**2 + (3 + 3 - 4)*(2*w**2 - 4*w**2 + w**2) as x*w + n*w**2 + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1541, 1540, 1539?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/63 (b) 9 (c) 1 (d) 18 (e) 1.6 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 81. Let x be i(-39). Calculate the greatest common factor of x and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 2) + 1 - -53. Let x be 11\/(-66) + (-62)\/(-12). Suppose 5 = r, 2*r + 26 = x*p - b. Round p to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*t**3 - 5*t**3 + 38*t**3 + 18*t**3 - 42*t**3.\nAnswer: 69*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -18971.\nAnswer: -18971.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+5874.18483388\nAnswer: 5874.68483388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.46 * -3.\nAnswer: 4.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 s when four letters picked without replacement from nxmwswysy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 59981*y**2 - 15*y + 7. Is n(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 13a388?\nAnswer: 13a383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*f - 5*n, 129 = 4*f + n - 19. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in -1122, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 4*x - 13, 5*x + 17 = d + 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 + s**2)*(-s + 3*s - 3*s) - s - s**3 + s - 2*s**2 - 2*s**3 + 6930 + 2*s - 6930.\nAnswer: -4*s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.06899 to two decimal places.\nAnswer: 8.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Suppose -5*t - a + 48 = 0, 8*a = 5*t + l*a - 60. Suppose -3*q - q + t = -2*s, q - s - 2 = 0. Solve 2*g + 7 = q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/7 + 79120*j**2\/7 + 237374*j\/7 + 158252\/7 = 0.\nAnswer: -2, -1, 39563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*s = -125*s + 287 + 77. Solve 894 - 842 = -s*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 27 in increasing order.\nAnswer: 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 781843 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-27)*(-6)\/(-4)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + v + 14. Let h be 23\/7 + (-4)\/14. Let c be (3 - -3)\/h + -2. What is the units digit of q(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536 a factor of 122997087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 475 (c) 4\/5 (d) 1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4261831 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6019 is divided by 163?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26096815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*x + 2*y + 41, 6 = -x - y. Let h(d) = -d**2 + 14*d - 1. Let u(z) = z. Calculate x*h(a) - 6*u(a).\nAnswer: -a**2 + 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let i be (51250\/4)\/(r\/960). Round i to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6755 - -6757. Let c be (3\/(-2))\/(3\/(-8)). Factor -2*t**4 + c*t + t**3 - t**m + 3*t**2 - 5*t**3.\nAnswer: -2*t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12580952 and 40.\nAnswer: 62904760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205837*z**2 + 457*z**5 - 411679*z**2 - 13 + 205836*z**2 + 6*z wrt z?\nAnswer: 27420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkkc when four letters picked without replacement from {r: 3, m: 6, k: 5, z: 2, c: 2}?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -23*i**2 + 3. Let u(y) = 2*y**2. What is o(u(a))?\nAnswer: -92*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 36.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**5\/60 - 3*h**4\/8 + 3*h**3\/2 - 2*h**2. Let j be a(-8). Let s = j + 23. Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -324, 5\/3, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1)*3\/(-6)*3. Which is the nearest to -6? (a) 4\/9 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 512*n**3\/21 + 55744*n**2\/3 + 1989730*n\/21 + 2545034\/21.\nAnswer: 2*(n + 757)*(16*n + 41)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdvd when four letters picked without replacement from gdxmxdvm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((560\/48)\/35*(-6)\/(-136))\/1*-4\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002089269 to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.03 (b) -1 (c) -15 (d) 9\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3638481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7084 + -6991. Solve 92*s + t = 61*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z\/(z*((z*z**13)\/z)\/z))\/z)\/z)\/z)\/(z\/((((z*z*z**(-2\/23))\/z)\/z)\/z)*z))\/(z*z**14*z*z**(-9)) assuming z is positive.\nAnswer: z**(-554\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = 63*y + 535 + 570 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -12*b + 13. Let r(z) be the third derivative of z**3\/6 + 26*z**2 - 2*z. Let c(j) = j - 5. Give b*c(f) + 5*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11085, 22091, 33015, 43857?\n\"Answer: -41*q**2 + 11129*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -165, -0.4, -4\/359?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-2)\/(-3) - 0). Let h(v) = -1 + 3 - b - 2*v**2 + 3*v**2. Calculate h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*f**4*m - 278*f**3*m + 58606*m wrt f.\nAnswer: -180*f**3*m - 834*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + -2*((3 + sqrt(567)*2 + sqrt(567))*6 + 4).\nAnswer: -324*sqrt(7) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -72\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -23*l + 478. Let h be x(21). Sort 12, -4, h in descending order.\nAnswer: 12, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 0*u**2 - 3*u**2 + (20*u + 7*u - 11*u)*(-3*u + u - 1 + 2).\nAnswer: -33*u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158.9 + 174. Let i = 15 - d. Let x = -9 - -5. Which is the smallest value? (a) x (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*n*s**5 + n*s**4 - 144*n*s**2 wrt s?\nAnswer: 5100*n*s**2 + 24*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 5 + (sqrt(832) + 1 + sqrt(832)*5 - sqrt(832) - sqrt(832))*4))**2.\nAnswer: 2560*sqrt(13) + 213092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 503 in -6\/7, 1\/3, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 140.2 and 0.4?\nAnswer: 139.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/3510)\/((3\/(-4))\/((-72)\/(-64))).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 0*r**3 + 1\/2*r**6 + 0*r**5 + 0*r + 33\/4*r**4 + 86 - 145\/2*r**2. What is the second derivative of u(f) wrt f?\nAnswer: 60*f**3 + 198*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714604*z - 2 = -1714599*z - 3*x, -z + 5*x = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 16 (b) -0.2 (c) 2.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 26, -1.\nAnswer: -1, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1204 - -2972. What is the greatest common factor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -600794?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/3, -63, -0.1, 0.198?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17 = -8. What is the units digit of -1*(k - 1 - 25) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.848278 * -10.2.\nAnswer: -8.6524356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2435 and 1395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -19, 0.4, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-2 - (-8)\/10). Let o(v) = -v**3 - 4*v**2 + 9*v + 1. Let f be o(k). Suppose -f = -5*d + 6. Solve 0 = -5*b - d*u + 25, u - 1 = 2*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548195 divided by 11?\nAnswer: 140745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 1. Let v(g) = 10*g**2 + 4*g - 6. Let q = 94 + -91. Let j(s) = -20*s**2 - 9*s + 13. Let p(t) = q*j(t) + 7*v(t). What is 7*a(w) - 2*p(w)?\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 4320 = 37*m. What is the remainder when m is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-9)*(6\/(-96) - (-11)\/11).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 15*u + 51. Let h be j(6). Find the common denominator of 73\/2 and ((-25)\/6)\/((-2)\/h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - u. Let h(y) = -2*y**3 - 9*y**2 + 5*y - 6. Let r(l) = -h(l) - 3*q(l). Give r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t**2 + t + 1. Let b be c(-1). Let a = 61669\/42 + -4427\/3. Calculate the common denominator of a and 0 - (-1)\/4 - b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxz when three letters picked without replacement from {t: 1, n: 4, z: 3, x: 1, m: 2, b: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 5, -4507 in increasing order.\nAnswer: -4507, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.3? (a) 2\/55 (b) 0.426 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-22.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o = 2*o - 1656. Suppose -b + 1260 = 4*b. Calculate the greatest common factor of o and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7851, 21665, 44689, 76923, 118367, 169021, 228885?\nAnswer: 297959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:25 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 k, and 1 x when four letters picked without replacement from {x: 2, k: 2, i: 10}?\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392896 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210310 (base 5) to base 7.\nAnswer: 26164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/2, 4, 17392\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42081*i**3*o**2 - 40*i*o**2 + 32*i*o - i - 2*o wrt i?\nAnswer: 252486*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1249 - -1265. Solve -r - 4*q + 1 = -j, 2*r + 4*q - 22 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*w = -2*d + 28, -w = -2*d + 23. What is the tens digit of 734\/d - (-3)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q + u, 3*u - 2*u + 9 = 2*q. Suppose -q*n + 42 = -82. Calculate the greatest common divisor of 248 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 4. Let q(g) = -2*g**2 - 5. Let t(o) = 5*i(o) - 4*q(o). Let w(y) = 3*y**2. What is w(t(h))?\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 36 + 4)*(3*q**4 + 5*q - 5*q + (-251 + 10*q + 251)*(q**3 + q**3 - 3*q**3)).\nAnswer: -259*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 130*a**3 - 540*a**2 - 270*a + 945.\nAnswer: -5*(a - 1)*(a + 3)**2*(a + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 112?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-183)\/((-121878)\/(-4))\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*q**3 - 8580*q**2 + 1799241.\nAnswer: 24*q**2 - 17160*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - -23. Let m = 67 - z. Put m, 15, 3, 0 in increasing order.\nAnswer: 0, 3, m, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**7\/14 + 9*r**5\/20 + r**4\/2 - 8*r. Factor v(l).\nAnswer: -3*l**2*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 7:17 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 722 and 5700.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 49 = 4*a - 31*j, -189*a + 0*j = -186*a - j - 19 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1\/43*-1*(6 - 16 - -11)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 14. Suppose -4*u - 30 - 34 = -i, 3*u - 3*i + 39 = 0. Let y be s(u). Suppose -4*q = -2*a + 2, a - 4 = -y*a - q. Solve -4*g + 3 + a = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/240 and 197\/352560.\nAnswer: 352560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/15)\/(1\/3)*0. Is 14\/33 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*f + 2*f = 6, 2*g = -4*f + 12. Let p be (-32)\/40*(-5)\/g. Let -6*l**3 + 3*l**5 + 26*l**2 - 21*l**2 + 3*l**4 - 11*l**p + 3 + 3*l = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3410 and 53.\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 13*z**4\/4 - z**3\/3 - z**2\/2 - 62*z - 1. Give b(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (62850\/(-100))\/((-1)\/2). Let c = s + -677. What are the prime factors of c?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360736507?\nAnswer: 360736507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13335771\/13 at least 1025829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*v + 3*w, 2*v + 32 = 3*v - 3*w. Let u be 0 - (v\/(-9) + 2). Which is the third smallest value? (a) 10 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5885 = a + 4*a, -v + 1465 = 5*a. Let r = -771 + v. Suppose -3*z + r = 3*m - 0*z, -5*z = -4*m + 968. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**9\/151200 - l**8\/10080 - l**7\/3150 - l**5\/3 + 4*l**2 - 3*l. Let a(d) be the third derivative of c(d). Factor a(v).\nAnswer: -2*v*(v + 1)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216255, 430803, 645351, 859899?\nAnswer: 1074447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + y - 22125 = -11*w, 5*w = -3*y + 110621. What are the prime factors of w?\nAnswer: 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2036 - 3302550?\nAnswer: -3304616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5107710985 to the nearest integer?\nAnswer: 71468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1410.7 or 0.1?\nAnswer: -1410.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41220 is divided by 749?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7740)\/(-1050))\/(-43))\/(45\/21)*40?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -378*h + 79. Is j(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*q = -364*q + 280*q + 10128 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 + 3.7. Which is the closest to -1? (a) -1\/4 (b) 3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 1)*(-4*n - n + 7*n) + (0*n - n + 0*n)*(-3 - 4 + 3))*(-16 - 17 - 3) in the form i + u*n and give u.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let m(z) = -2*z**3 + 6*z. Let q be (0 - 4)\/(6\/9). What is q*h(f) - m(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 3\/2*t**2 + 1\/3*t**3 + 10 + 0*t. Calculate o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182683636 divided by 45670909.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*j*u**2 + j*u + 86*u**2 - 3*u wrt j.\nAnswer: 61*u**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234 + 2108\/9. Which is the nearest to -2\/5? (a) t (b) -0.07 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 10*r + 5. Let z be l(9). Let v be (-4)\/z - (-48)\/21. Let i(h) = v*h + 0*h + 2 - 5*h. Let o(m) = 7*m - 5. Calculate 10*i(b) + 4*o(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 4*p - 2. Suppose -5*m + 67 = -43. Suppose -t = 3*b + 83, 5*t - 105 = 4*b + b. Let r = b + m. Give v(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from zeebezeeeebe.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59487, 59546, 59605, 59664, 59723?\n\"Answer: 59*m + 59428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(8\/4) - -6. Solve -18 = 2*n + 4*y, -w*n = 2*n - y - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 8. Let m be d(-7). Solve -l + m = -2*v, 0 = 2*l - v + 4*v + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one fifths of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -487*h - 11187*h**2 + 527*h - 40*h as g*h**2 + f + c*h and give g.\nAnswer: -11187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + -3 + -3)) + sqrt(175))**2 - sqrt(49)\/(sqrt(7) - sqrt(567)*-4 - sqrt(7)).\nAnswer: 2159*sqrt(7)\/36 + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3337*p = -3257*p - 541 - 339 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*h - 110. Suppose 0 - h = -5*o. Let p(a) = a**3 + 5*a**2 - 8*a + 5. Calculate the remainder when p(-6) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.6 - 0.4. Let b = 14 + z. Let o = 0.06 + -0.36. What is the smallest value in b, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*q - 32485 = -14571 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/(w\/(w\/(w*(((w**(-2\/3)*w)\/w)\/w)\/w*w*w)))*w**6*w*w**5\/w assuming w is positive.\nAnswer: w**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**2 - 32681177*p + 50336012 wrt p?\nAnswer: 4*p - 32681177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.4, 824\/53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 18\/10 - 45\/(-25). Factor -35*m**3 - 5*m + 14*m**3 + m**4 - 2*m**4 + 18*m**3 + 9*m**r.\nAnswer: -m*(m - 1)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122402957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 507, 1139, 2025?\nAnswer: 3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/14 - 4\/(-14). Suppose 2*m + 66 = r*m. Suppose 0*v = 2*v - m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 858 + -870.86. Let m = -0.14 + o. Put 3, 1\/4, m in decreasing order.\nAnswer: 3, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 5 (c) 249 (d) 1 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmm when three letters picked without replacement from mhmhs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**4 - w + 4. Let u(n) = 899*n**5 - 2*n**4 + 1672*n**2 - 2*n + 8. Let t(r) = 2*s(r) - u(r). What is the third derivative of t(q) wrt q?\nAnswer: -53940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75269704?\nAnswer: 2, 239, 39367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14 + 9 = 0. Suppose 2*q = -k*o - 37, 9 = q + o - 4*o. Does 22 divide (q\/4)\/((-18)\/636)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152286 is divided by 894.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000201210010 + -12?\nAnswer: 1000201202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/7 + 135952*m\/7 - 2310368288\/7 = 0 for m.\nAnswer: 33988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 1\/2*m**2 + 17 - 21*m. Give v(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209745 - 16153044\/77. Let c = 345\/11 + x. Let h(r) = -r**2 - 2*r + 5. Let a be h(-4). Is a smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 469*v - 25 + 16 + 9 in the form n*v + m and give n.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 + -280.5. Which is the nearest to -4? (a) l (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5*(sqrt(200) + sqrt(200) + 1 + -3))**2 - (4 + 0 + sqrt(200) + 2)**2).\nAnswer: -10600*sqrt(2) + 99320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-423)\/470)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.78 in -4, 17, -1, -2, 46?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l - 32. Let x(g) = -7*g**2 + 2*g**2 + g**3 - 3 - l*g + g + 0*g**3. Let w = -18 - -24. What is x(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from oaoaaooaoo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.092801 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2 + 96440*i + 465033680 = 0. Calculate i.\nAnswer: -9644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 11da8?\nAnswer: -11da4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/26, 2\/25.\nAnswer: -0.1, 2\/25, 3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534135591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c - 19. Let f be o(2). Suppose 0 = f*g - 36*g + 6300. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -115233, -2\/3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from oobbboboolbool.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57 + 23 + 34 - 1005*y**3 + 830*y**2 wrt y?\nAnswer: -6030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -268\/5. Let i = 7 + -6. Which is the nearest to d? (a) i (b) -3\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/815640 and -37\/271880.\nAnswer: 815640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 5. Let g be (26\/5)\/(477\/(-45) - -11). What is a(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/68 in 10\/3, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 239*n**2 - 13154*n + 472. Calculate x(55).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*n - 82, -3*o + 61 = -0*n + 2*n. Let x = o + -6. Let w = 48 - 43. Calculate the remainder when x is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 79*g + 1. Let u(o) = -o**2 - 2*o - 5. What is -s(w) + u(w)?\nAnswer: -2*w**2 - 81*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4 - 5. Let r be 8\/(-12) + (-16)\/(-6). Suppose -l**4 - l**3 - r*l**5 - s*l**4 - l**3 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*b**2 + 298600*b + 8016008.\nAnswer: 2*(b + 16562)*(9*b + 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244454*x**5 + 12196*x**2?\nAnswer: 14667240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 167, 214, 261, 308?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (22 - 3) - 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 115*r**2 - 313*r - 4. Calculate s(3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9777.01462 - -1.5.\nAnswer: -9775.51462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.404 take away -117115559?\nAnswer: 117116089.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*j, -3*k + 2*j = 4 - 1. Let u be (k\/(-3) - -33) + -2. Suppose -u + 7 = -5*r. Calculate the remainder when 13 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 - 3*y - 2. Let k(s) = -s + 1. Let l(j) = -2*j + 2. Let p(a) = 3*k(a) - l(a). Let m be p(2). Let x(u) = u**2 - u - 1. What is m*f(t) + 3*x(t)?\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:01 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 37825 = 0. What are the prime factors of a?\nAnswer: 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6494\/382*(-1 + 67)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 + -70. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -13*x**2 + 18. Let h(o) = 37*o**2 - 55. What is 11*a(b) + 4*h(b)?\nAnswer: 5*b**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2160) - (sqrt(2160) + sqrt(2160)*1*5 + sqrt(2160))) + sqrt(2160) - sqrt(2160)) + sqrt(2160))\/(-1*-3*sqrt(1200) + sqrt(1200)))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4173?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xyyqxw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -39*x**2. Let u(a) = 583511*a. Calculate g(u(n)).\nAnswer: -13278918397719*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:23 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 140*a - 651. Let x be k(5). What is the greatest common divisor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 6*(sqrt(252) + -5) + sqrt(252) + sqrt(252).\nAnswer: -30 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40590 and 11.\nAnswer: 40590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -1, 9, 33, 77, 147?\n\"Answer: g**3 - 2*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-9) + -2)\/((-4)\/(-12)). Let g be (2 - h)*(-29 - -29). Solve d = -g*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2 + 21*f**2 + 1 + f + 0*f. Is 10 a factor of x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 + 2*n**4 - n**4 + (-5 + 5 - 4*n)*(-89*n**3 + 637*n - 637*n) as t*n**4 + z*n**3 + g + q*n + l*n**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 287513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12698.\nAnswer: 2, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 72, -4, 0 in decreasing order.\nAnswer: 72, 4, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160532 is divided by 485?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532*a + 631*a + 281*a - 382*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3490319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.467, 1, 0.06, -1\/12?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 - 7 - -1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:54 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 12932716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 517 + -526. What are the prime factors of ((-46494)\/a)\/7 + 4?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-42) + (-24)\/(-14). Suppose -v*x = -4*x + 304. Suppose 0 = -3*z + 64 + x. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 87948823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g**2 - 6*g - 13. Let o(a) = -9*a**2 - 4*a - 9. Let b = 13936 + -13931. Determine b*u(i) - 8*o(i).\nAnswer: 2*i**2 + 2*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8627.736 decades to centuries.\nAnswer: 862.7736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 1. Let f = 16 + -11. Let i be n(f). Let o(c) = -c**2 + 7*c + 22. Let z be o(i). Solve z*t - 4*h = 12, 0 = h + 3*h + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -982*i**2 - 790*i**3 - 975*i**2 - 2*i + 1957*i**2 to j + u*i**3 + a*i + y*i**2 and give u.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 5*j. Suppose j = -2*b - g - 2 + 56, b = g + 24. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by -2*(-13 - (4 + (-15)\/5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 4*y + 0*y)*(135 + 165 - 190 + 0 + 0 - 1 + (-2 + 1 + 2)*(1 - 1 - 1)) in the form w + c*y and give c.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 2*y = -98, 0 = -q + 4*y + 34. Let j = 30 - q. Let d(w) = 2*w**2 + 2*w. Let k be d(-2). Solve 4*b = -5*x + 36, 2*x - x - k*b + j = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (-1*sqrt(450) + sqrt(18) - sqrt(18)))\/(sqrt(72)\/sqrt(2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 928.5 + -925.8. Let q = 508\/5 + -102. What is the third smallest value in q, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aanxxkxaknntxxtknnxx. What is prob of picking 1 k, 1 a, and 2 n?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -90678 take away -0.5?\nAnswer: -90677.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1739\/7 + 248. Put -0.4, k, -2 in descending order.\nAnswer: -0.4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.56ng in grams?\nAnswer: 0.00000006256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 708\/95, -0.5, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 13043268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5\/6, -2\/7 in ascending order.\nAnswer: -5\/6, -2\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6)*30\/(-40). Which is the closest to -0.1? (a) 5 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1956 + -1356. Suppose 5*b - 2*b - v = 0. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 4153100.\nAnswer: 4153100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 5) to base 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39170996849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47c + -17?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let n = -1 - -1. Let y be d(n). Suppose 4*j - 12 - 20 = y. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 divided by -8245?\nAnswer: -437\/8245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k*k)**(2\/15)*(k**(-2)\/k)**(-21) assuming k is positive.\nAnswer: k**(317\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - -0.03. Let z = u + 0.04. What is the nearest to 1\/4 in 3, z, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*g - 0 + 71, -5*p + 115 = -g. Let m be 4\/p + (-1)\/((-18)\/159). Solve m = 3*k + 3*w, 4 = -4*k + 2*w - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -11, -5, 1, 7, 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37640 + 61569. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59488194998536 + 3?\nAnswer: 59488194998539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose f*l = l - 45. Suppose k = -2*k + l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*q + 130 + 410 = -23*q + 43*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-21)*(5 - 3). Let q be 24\/112*16\/6. Solve 2\/7 - f*m**3 + 0*m**2 + q*m - 2\/7*m**4 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2202.211 + 2200. Let v = -0.011 - k. What is v rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 - 6*k - 14. Give l(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m + 1. Let z be y(2). Let d be 100\/36 + 2\/9. Is ((-3)\/d)\/(z\/(-69)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21393 - -48205. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4026)\/10 - ((-18)\/30 - -1). Let u = l - -679. Let s = u - 65. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.18 * -460.\nAnswer: -4222.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h - 2. Let b(p) = 5*p + 1. Let g(y) = 5*b(y) + 4*j(y). Let d(x) = -x**3 + 8*x**2 - 7*x + 3. Let t be d(7). What is g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231615\/14 + -16545. Is -63 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 4, u: 4}. Give prob of sequence uul.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**2. Let l(b) = -2*b - 3. Let r(q) = -q - 2. Let a(s) = -5*l(s) + 5*r(s). Give t(a(v)).\nAnswer: 150*v**2 + 300*v + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -221 - -336. Let q = d - -569. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 1 (c) 0.2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*d + 92*d + 2*g + 60150 = 0, -3*d - 2*g = -45102. What are the prime factors of d?\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13.5, -1, -3\/2, 17, 16\/13, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44199 is divided by 61?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-5)*160\/(-1120)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 1\/30*c**6 + 0 + 0*c - 2\/3*c**3 + 7*c**2 + 1\/2*c**4 - 1\/5*c**5. Solve z(r) = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270523 is divided by 1769?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/209 and -163\/79860.\nAnswer: 1517340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122176013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 957205.8um?\nAnswer: 0.0009572058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 11:24 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148 and 6799358?\nAnswer: 95191012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 95*a + 90. Let r(u) = -59*u - 45. Let b(i) = 3*h(i) + 5*r(i). What is b(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + p**2 - 2*p**4 + p**4 + 3*p**4 - p**4 + (5 + p**3 - 5)*(2*p + 3 - 3) - p**3 + p**4 + p**3 + 23*p**4 - 13*p**4 - 68*p**4.\nAnswer: -54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -50, -77, -114, -161?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126803569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-3 - -7)) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -891 - -1518. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 232, 504, 888, 1390, 2016, 2772, 3664?\nAnswer: 4698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from gfgggggfg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 61*m**2 + 10*m + 367. What are the prime factors of k(21)?\nAnswer: 2, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 3644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 1509*i. Let j(w) = -2*w**2. Determine o(j(k)).\nAnswer: 8*k**4 + 3018*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 12) to base 4.\nAnswer: -3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 times -3?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j - 2. Let f(m) = 96*m + 106*m - 196*m. What is p(f(n))?\nAnswer: -66*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110100 + -11011?\nAnswer: -110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {k: 8, e: 6, s: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3 + 4 + 13 + 10 - 5*i + 0. Determine q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918961.\nAnswer: 271, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 y when three letters picked without replacement from {z: 2, y: 4, r: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/m)\/m**(-3\/10)*(m*m\/(m\/(m*m**(-2\/7))))**7 assuming m is positive.\nAnswer: m**(173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 1429 = -181. Is 11 a factor of 19\/((-27)\/(-63) - (-23)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(-2*sqrt(32))*2.\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 95 (b) -2\/31 (c) 1\/6 (d) 1 (e) -0.8 (f) 46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Suppose -3*f + 6 = -4*f + 5*p, 0 = 4*f + n*p + 2. Is -3\/5 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/6 - 931763*j\/3 - 868182288169\/6.\nAnswer: -(j + 931763)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222398802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.893 - -0.107. Which is the third smallest value? (a) v (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + 24 = 28*w, -4*c + 25348 = 4*w. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -30*a + 32247. Is q(0) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -31, -41, -41, -25, 13, 79, 179?\n\"Answer: s**3 - 4*s**2 - 9*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5 - 4*a**4 + 39*a**3 - 58*a**2 - 28*a + 72 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:38 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:26 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 - 15*k - 3*k**2 - 5*k**2 + 14*k.\nAnswer: 5*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/20, 0, -4, 0.4, 7, -766, -1 in descending order.\nAnswer: 7, 0.4, 0, -3\/20, -1, -4, -766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369 + 291 + 813)*((-1 + 3 - 1)*(-3 + 1 + 0) + 8 + 2 - 16)*(2 - n**2 - 2).\nAnswer: 5880*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0598 + -0.1598. Suppose -3*w - 3*o - 18 = 0, 5*w = -2*o - 16 - 11. Which is the second smallest value? (a) 3 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*2)\/sqrt(12)*-3*6 + (-3 + sqrt(14)\/(sqrt(28) + sqrt(7)))*-5.\nAnswer: -113*sqrt(2)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/331060 and 79\/562802.\nAnswer: 5628020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*f - 312*f = -660*f + 125 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1705349 = 5*a - 3526*q + 3527*q, -2*q - 12 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 301?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6445 - -12857\/2. What is the third smallest value in k, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 times -8141.5\nAnswer: 993263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -34, -5, 80, 239, 490, 851?\n\"Answer: 3*h**3 + h**2 - 33*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 10*q + 32 = 0. Let k = -1 - -1. Suppose c - 30 = 5*c + w, k = -2*c + 3*w - 8. Is q bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k = -8*k - 58*k + 123000. Calculate the remainder when k is divided by 67.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -4, 1, 5 in descending order.\nAnswer: 32, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7587 is divided by 361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -26. Suppose -4*g = -5*b - 323, -l = -3*b + 7*b. What are the prime factors of g?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 8*x**2 - 9*x - 12. Let i be n(-7). Let c = 4 + -2. Is c at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 47553 = 74866. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 48 = -6*l. Calculate the highest common divisor of 204 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2417067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 208*s = 76*s - 228096. Calculate the smallest common multiple of s and 64.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 136919.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/6 + (-32)\/(-24). What is the third biggest value in 0.2, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, -4\/17, -1\/4, 0.17 in ascending order.\nAnswer: -0.5, -1\/4, -4\/17, 0.17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**3\/6 - p**2 - 4*p. Let k be o(2). Suppose 3*v + 2*f = -0*f + 56, -4*v + 3*f + 52 = k. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -33.\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 2*y**2 - 1. Let m be k(-1). Suppose 2*l = -3*j - 10, m*j + 26 = -3*j + 2*l. Let r(n) = -n**3 - 7*n**2 - 6*n - 6. Determine r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -358, -769, -1328, -2029?\nAnswer: -2866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 909431524 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21168305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 11526.\nAnswer: 1\/11526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.31. Let m = j + 0.2899932. What is m rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/51)\/((-7)\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-6 + 14 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085437 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/7 + -11\/21. Which is the closest to r? (a) -2 (b) 2\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363\/5 + 73. Suppose 2\/5*x - 2\/5*x**2 + h - 2\/5*x**3 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 15*z**2 - 14*z. Let u be t(14). Let r be 1 - -2 - (-2 - u). Suppose h = -r*h + 120. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 - ((12 - 19) + -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.2. Sort i, 2, -0.4, -1\/4 in increasing order.\nAnswer: i, -0.4, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22 (b) 6 (c) 2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1281? (a) 0 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142122160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erercrecceeeeeeeec. Give prob of sequence ecer.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/19)\/(((d**13*d)\/d)\/d*d))\/(((d\/(d\/d**(3\/5)))\/d)\/d*d**(2\/5)\/d) assuming d is positive.\nAnswer: d**(-207\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 17. Let p be d(-17). Suppose 0 = -p*w + 2*w - 10. Solve 4*z = -w*b + 5, -3*b + z + 20 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1035 = 3*d, 3*f - 4*d = 7*f - 1404. Find n such that n - 350 + 2*n + f - n**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24799 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -63490237628660.\nAnswer: -63490237628659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b**2*f**3 - 38540*b**2*f**2*h + 4269*b**2*f**2 - b*f**3 - 11*f**3*h - 2 with respect to h.\nAnswer: -38540*b**2*f**2 - 11*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + sqrt(363) + sqrt(363)*-2*-1.\nAnswer: 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y + 738. Find the second derivative of 235*z - y*z - 5*z**3 - 4*z**3 wrt z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 7. Let f be h(3). Let m be (-2)\/f*(6 - 2). Let i be m + 48 + -1 + 1. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/18)\/((-4)\/(-6)) - -1. Solve 4*p + 0*k = -k - 8, 0 = -p + k + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 163 = -26*v, 8*g - 39*v + 34*v - 58 = 8*g - 2*g - g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 9*b + 138. Let d be k(8). Suppose -d*x - 28*c + 3314 = -24*c, 4971 = 3*x + 3*c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 100 = -28. Let n(o) = o**2 + 7*o + 6. Let l be n(-7). Solve -b*y + 3 = l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 5, 1, 0.11, 0?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70741037*n - 369874364 wrt n?\nAnswer: -70741037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 38. What is the lowest common multiple of v and 903\/(-43)*(-10)\/140*(1 - -5)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 275 - 65?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3. Suppose f = -u - p*f + 10, f - 52 = -3*u. Calculate the smallest common multiple of u and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f + 6744 = -339*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 4*x - 16. Let i(c) = 3*c**2 + 5*c - 20. Let s(f) = 5*g(f) - 4*i(f). Let o(b) be the second derivative of b**4\/4 + 6*b. Calculate s(o(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-12)*(-18)\/36. Solve 3*i = -4*u + 2, 2*i + 0*i + u = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28733 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -246 + 414. Calculate the greatest common factor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -97 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -1321591?\nAnswer: -1321586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 10*j - 5*j = -4, -4*j = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/13 + (-5)\/65. Suppose -2*a + i*r - 6 = 0, -3*a + 5*r + 0 = 19. Put -1, -4, a in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c*t**3 + 3*c*t**2 + 3*c + 122525*t**3 - 167*t**2 - 172*t + 2 wrt t?\nAnswer: -78*c + 735150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4\/563, -0.11, -5, -0.3 in descending order.\nAnswer: 15, 4\/563, -0.11, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16683 - -17128.00775. Let l = -445 + t. Round l to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1829 and 9\/2950?\nAnswer: 91450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 2*p - 1. Let d(a) = 71. Let y(q) = 225. Let l(o) = 19*d(o) - 6*y(o). Give -h(g) - l(g).\nAnswer: -3*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1420055 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 5*i**2 - 3*i + 2. Let g be c(2). Let p = 6 - 12. Sort g, p, 7, 1 in decreasing order.\nAnswer: 7, 1, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)\/(p*(p*p**(-7))\/p)*(p*p**1)**(-2\/9))\/(p**(1\/5)\/(p**(-3\/5)\/p*p)*(p**1)**(1\/3)) assuming p is positive.\nAnswer: p**(263\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010111110011 (base 2) to base 10.\nAnswer: 22003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*r + 0*r - 185 = 0, -5*r = -3*z + 105. Let o be 3*((-2030)\/(-15))\/2. Suppose -21*a + 1463 = o. What is the highest common factor of z and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/75 + (-138)\/(-10). Is 15 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 7}. Give prob of sequence oooo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - z - 2, 3*o - 6 = 2*o + z. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13229.36 to the nearest ten.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 8 + 12. Let q be 0 - (w - (-39)\/9). Let k = 0.2 - 0.5. Which is the nearest to q? (a) 3\/4 (b) k (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*f + 6 = -f, -11 = -5*g + f. Let p = -23.8 - -28. Let u = p + -4. What is the second smallest value in g, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 2. Let m be 1\/(-3)*-3 - 8. Let c be b(m). Round c to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkzznzkznkkzkkmmkzk?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/69846 and 127\/18?\nAnswer: 209538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 0 - (-25 + -18 - -43)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:36 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) + (sqrt(11) - (sqrt(66)*1)\/sqrt(6))))**2*6.\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11080.77 litres in millilitres?\nAnswer: 11080770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003414696955 rounded to 6 decimal places?\nAnswer: -0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 5 + n - 7*n**2 - 2*n + 7*n - 3. Let h be p(6). Solve x - 4 = 0, h*r - 6 = -x - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -569231.\nAnswer: -21\/569231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -4, -71, 1 in increasing order.\nAnswer: -71, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*m - 9055 = 0, 2*x + 48*m - 3642 = 45*m. What is the highest common factor of 30 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2941 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = b - 10, -53 = -11*b - 22*k + 25*k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7669053 nanometers in centimeters?\nAnswer: 0.00000007669053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133d3cb (base 14) in base 2?\nAnswer: -100011011101001101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 + 4. Let p = -22.88 + 0.88. Let d = 22.1 + p. Which is the closest to 1? (a) 1 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + g - 3*g + g**3 - 1. Suppose 84*i - 100*i - 16 = 0. Let s(m) = -3*m**4 + 6*m**3 + 3*m - 3. Let c(v) = i*s(v) + 3*k(v). Factor c(p).\nAnswer: 3*p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130354.\nAnswer: 2, 7, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228 - 324. Let w = p + 95. Let a = 1.14 + -1.54. Put w, -5, a in decreasing order.\nAnswer: a, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 272*b**2*u**3 + 3*b**2 - 40*u**3 - 126*u wrt b?\nAnswer: 544*b*u**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8912.563 milligrams in micrograms?\nAnswer: 8912563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -6) + -1 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*p**3 + 277*p**3 - 124*p**3.\nAnswer: 613*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*j - 284, -3*q = 2*j - 0*q - 150. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 0 = -f. Let n(r) = 35*r - 286. Is n(f) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -704, -1429, -2152, -2873, -3592?\n\"Answer: q**2 - 728*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 741 - 741. Let d(n) be the first derivative of 0*n**2 + 7 + 0*n**6 + m*n**5 + 6\/7*n**7 + 0*n**4 - 2*n**3 + 0*n. Find the third derivative of d(q) wrt q.\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*h + 3*h. Suppose -2 = h*u - 22. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.28, 1, -0.3, 6 in ascending order.\nAnswer: -0.5, -0.3, 0.28, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 2. Suppose -3*y = -6 - 3. Let j be p(y). Solve j*o = -3*l + 11, -l - 3*l + 8 = 2*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1059\/7 - -151. Let l = 285126.2 - 285126. What is the closest to l in -5\/4, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 13. Let j = -1 + 6. Suppose -j*h + 4 + w = 2*t, 0 = -2*t + 3*h + 1. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -32*h - 64*h + 3*h - 2 - 18*h. What is the remainder when d(-1) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1216*i**2 - 4347*i - 50616540 wrt i?\nAnswer: 2432*i - 4347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2150969 times -3\nAnswer: 0.6452907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*x - 13, 4*r + 36 = -4*x - 0*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.1 + -2.1. Which is greater: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-4))\/2)\/(10\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26207218 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.5 (b) 5 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.674 - 42.6.\nAnswer: -39.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0bb (base 15) in base 13?\nAnswer: -12599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 * 0.7\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-518)\/148*(-2 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20862)\/228*(-50)\/(-75)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2\/19, -4, -1, -0.4 in decreasing order.\nAnswer: -2\/19, -0.4, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/(t\/t**(-12))*t*t)\/t)\/((t\/(t*t**(-1\/8)*t))\/t))\/(((t\/((t\/((t**(-2\/15)\/t)\/t))\/t))\/t)\/t*t**12) assuming t is positive.\nAnswer: t**(-1919\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40245 = 96*y - 91*y + 3*l, 2*y - 2*l - 16114 = 0. List the prime factors of y.\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + d**4 + 2*d**4)*(17 - 32 + 103)*(-4 - 3 + 6) + 0*d**4 - 5*d**4 - 5*d**4 + (-d - d + d)*(-2 + 2 - d**3).\nAnswer: -185*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 3*q + 4. Let c(b) = b**2. Let y(p) = -6*c(p) + f(p). Give y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21627*v**2 + 1254370*v + 232.\nAnswer: (v + 58)*(21627*v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.3, 4, 0.03409?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*b**2 - 9*b**2 + 2*b**2 + 5*b**2 in the form t + m*b + q*b**2 and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 2. Let x be d(-3). Suppose -51 - 30 = -3*s. Suppose t + x*j - 1 = 0, -3*t - 5*j + 16 + s = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3\/14, 0.19, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -11*h**8\/168 + 3*h**5\/10 + 5*h**2. Find the third derivative of b(r) wrt r.\nAnswer: -1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -2. Calculate the remainder when l\/((-33)\/(-126)) - -3 is divided by (-61)\/(-5) - (-1)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 85479744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + k**2 + k**4 - 2*k**4 + (-4*k**2 + 4*k**2 + k**2)*(2*k + 7*k - 339*k**2 + 335*k**2) as p*k**2 + u*k**4 + m*k + r + y*k**3 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -43, -4, -3, -1.\nAnswer: -43, -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnhggngqgnggqngnggg. What is prob of picking 1 q and 1 n?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(204)\/(2*sqrt(300) + sqrt(300)))**2 - ((-5*-5*-5*sqrt(51)\/sqrt(3))**2 + -2).\nAnswer: -59764933\/225 - 2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.50695 in -1\/6, -1\/2, 5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 28 = -6*r. Calculate the highest common divisor of r and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/22 + 32 - 24\/33\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4683, 2, -79, -5 in descending order.\nAnswer: 4683, 2, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97 - 12) + 163 - 15?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*l - 4, 4*v + 30*l - 4 = 33*l. Let a = 77155\/2 - 4976534\/129. Find the common denominator of (-2)\/(-25) - v*3918\/(-1600) and a.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20659 and 569113?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 - 5*a + 5. Let y(o) = 11*o**2 - 9*o + 9. Suppose 32 = -0*q + 4*q. Suppose -2*h = -0*h - q. Calculate h*y(i) - 7*n(i).\nAnswer: 2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1189776\nAnswer: -1\/594888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2044*w + 16718 + 21982 = -496*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -19, -98, -235, -436, -707?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**3 + 4*c**2 + 3*c**2 - 28*c**2 + 6 - 9*c + 15*c**4.\nAnswer: 3*(c - 1)*(c + 1)**2*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 - (-2)\/(-9). Suppose -5*c + 3*w + 19 = a, -c + 2*w + 10 = 2. Let v(k) = 6*k - c*k - 3*k. Let b(s) = -s. What is v(b(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 645418747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1596*n - 1084. Let o(q) = 12*q - 1. Let p(s) = 5*o(s) - t(s). Differentiate p(h) with respect to h.\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 4:49 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2 + 20*j - 8. Let m be c(0). Calculate the greatest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/240*-1)\/(2\/16)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10057446 is divided by 537.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6678102 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 4*t**3 - 3*t - 3*t**2 + t**2 to h + p*t + c*t**2 + z*t**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 22*s - 29. What is f(20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.396 + 885.604. Let l = n - 1361. Let k = 473.737 + l. Round k to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 214849*y + 1. Let x(p) = -11*p. What is x(f(v))?\nAnswer: 11*v**2 - 2363339*v - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 19 + 69. Suppose -8*x + 3*x - s = -3*t, -2*x - 41 = -3*t. Suppose -7 = -2*q + t. Calculate the highest common factor of 15 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2104044 is divided by 214.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26991 + -26996. Let q = -14 - -10. Which is the second biggest value? (a) n (b) q (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2 + 7 + 2 = 0. Solve -34*n - b = 67 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -157863, -157865, -157867, -157869?\n\"Answer: -2*w - 157861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -131050 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*y - 5 = -14, -4*a - 2*y = -18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:01 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/12 + 43*v**3\/6 - 19*v**2 + 11*v + 1. Let q be s(42). Solve 3*r - 1 = -q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 18 + 6 = 0. Factor 5*h**2 - 7*h**2 - x - 2*h**2 - 12*h + h**2.\nAnswer: -3*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-4)*u\/((u*u**(5\/3)*u)\/u)*u*(((u\/u**(2\/13))\/u)\/u)\/(u\/(u*u**(-2\/5))*u) assuming u is positive.\nAnswer: u**(-1213\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n*n**5\/n))\/n**(-1\/9)*(((((n*n**(1\/3)*n)\/n)\/n)\/n)\/n)\/(n**(2\/3)*n))**(5\/14) assuming n is positive.\nAnswer: n**(-325\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 51. Let b be -4 + (117\/(-12))\/(-13)*20. Give c(b).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 517 + -516.9. Which is the nearest to 0.1? (a) w (b) -2\/21 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 4*p + 27. Suppose 4*k = 0, 2*d - 5*d = 4*k - p. Suppose -2*u + 30 = d*u. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/((-6)\/8). Solve y*l + 4*s - 19 = l, -2*l - 3*s = -18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4235825, -8471658, -12707491, -16943324?\n\"Answer: -4235833*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 - 14 - (39 + -49))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 78 = 3*p, -2*w + 85 - 31 = 3*p. Calculate the lowest common multiple of w and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-21) + 19\/7. Let x = 3 + -4. Let m = 3.1 + -3. What is the nearest to x in u, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(-5*(-1 + sqrt(612) + -5 + sqrt(612) + 1) + -2).\nAnswer: -552 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4413780 by -2206890.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-280)\/420).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 77*11\/(-77)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = 48173538*k - 48173540*k for k.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 8. Let c be u(-6). Let x be (c\/2 - 0) + 2. Suppose 2*k + k - 24 = m, -3*m = -x*k + 27. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*p + 1542*p + 133*p + 150891 = 222*p for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wewreeweeeerweeww. Give prob of picking 1 e and 1 w.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11) + -5 + (-2*sqrt(121))\/sqrt(11))**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1+-0.01298\nAnswer: 0.98702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 5*o**4\/4 + 5*o**3\/2 + 31*o**2 + 693*o. Find the second derivative of d(y) wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {s: 2, a: 8, m: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + (3 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j = -2*u - 50*j - 14, -3*u + 4*j + 13 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11553002 <= 11553001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 103 + 107 + 123 - 339.\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43465667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1744 and 21146.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 5. What is the remainder when 13 is divided by c\/(3 - (-6)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.44792 litres?\nAnswer: 6447.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*d + 3 = 0, 2*g - 1 = -4*d + 3*d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/(i\/i**(-3)))\/(i**3)**(1\/25) assuming i is positive.\nAnswer: i**(-328\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -4. Let n be (-330)\/11*1\/q. What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7567970243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.92 + 1.7. Let l = 0.38 - d. Which is the nearest to 0? (a) 4\/5 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 7*t**2 + 11*t - 5. Let f be c(-4). What is the hundreds digit of (3 - f - (17 - 195)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12568 is divided by 462.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*h - 266*h = 825 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - o - 25 = -6*o, 2*s - o = 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.3 and -10?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 402 (base 5) to base 8\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-6)*(-4)\/(-8)*1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10004, -19711, -29420, -39131, -48844?\n\"Answer: -a**2 - 9704*a - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 48 = -11*u. Let v be u\/1*(-20 + 19). Differentiate 5*y - v*y + 28 + 0*y with respect to y.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -139026, -140767, -142506, -144243, -145978?\n\"Answer: n**2 - 1744*n - 137283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 812131699 to the power of 1\/2, to the nearest integer?\nAnswer: 28498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 311*f - 1213. Determine a(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, k: 8, r: 1}. Give prob of picking 2 p.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.024 - 65.024. Is b > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k - 3*j = -9, -4*j + 12 = 0. Suppose 33*a = -22*a + 330. Suppose k = 5*n + a - 166. Calculate the greatest common divisor of 256 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*u + 184 + 174 - 416 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-18) - 0 - 14552\/(-16371).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -699, -1400, -2101, -2802?\n\"Answer: -701*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-26) - 62\/(-104). Let q be -10 - -9 - 4\/(-3). Which is the biggest value? (a) 0 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbblbbtbblbbtllmbtb. Give prob of sequence ttm.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*o, -6*t + o + 12 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/326592 and 59\/1008.\nAnswer: 326592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1505*l**4 - 2*l**2 + 235*l**4 - 40*l + 56*l wrt l?\nAnswer: 41760*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1) + 1 - -1. Let b(m) = -h + 3*m**2 + 2 + m**3 + 2*m - 3. Suppose -3*z - 1 = 5. What is b(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66077782 and 2.\nAnswer: 132155564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 0.6 (c) -349 (d) -1\/5 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 991\/4955*3*(-2)\/15?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21781.19 millilitres to litres.\nAnswer: 21.78119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**4 + 4470*w**5 + 2301*w + w**2 + 262*w - 18 + 18 wrt w?\nAnswer: 268200*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3131 divide 136890732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38503\/2538 - 5\/1269. Let v(c) = -c**2 + 3*c + 2. Let h be v(4). What is the common denominator of h\/4 - 78\/(-44) and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -116. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2188 + -1384. Let b = y - 803.8. Are b and 116 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 11 = 11*x - 8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m - 2*o + 2, 6 = m - o. Let j be (20\/6)\/(m\/6). Let v = 2 + j. Solve -v = -3*t + 6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.97 + -11. Let u = g + 0.06. What is u rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8976 and 20238768?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 7, -6, -23?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(5\/4)*d*d*d**(2\/11)*d)\/(d**(1\/12)\/d**(-9)) assuming d is positive.\nAnswer: d**(-203\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k + 14. Let w be f(11). Let v be (-23)\/(-5) - 33\/55. Suppose 4*z - 4*q + 0 + v = 0, -3*q + 1 = -5*z. Put w, -5, z in descending order.\nAnswer: w, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-66)\/(-9) - 0)*(-24)\/(-16). What is the second derivative of -3*q**2 + q**2 + 14*q**5 - 52*q - 6*q**5 + u*q + 2 wrt q?\nAnswer: 160*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330*o**3 + 35*o**2 + 412*o - 66954105 wrt o.\nAnswer: 990*o**2 + 70*o + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1101120?\nAnswer: 1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.27 + -16. Let x = u - 0.3. Let g = x - 0.17. Put 2\/9, g, 2\/21 in decreasing order.\nAnswer: 2\/9, 2\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:02 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 928*y + 2848. Let v be d(-3). Solve 112 = -v*z + 48*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/35806223 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.0981 - -0.5518. Let z = -1.65 - -1.1. Let v = z - f. Round v to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = -4*d - 32, -20 = 5*d - 3*i. Let l(k) = 1371*k**2 + 46*k + 45. What are the prime factors of l(d)?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35\/173, -2\/7, -2\/11 in increasing order.\nAnswer: -2\/7, -2\/11, 35\/173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)*b**(1\/5)*(b*b**(-1\/2)\/b)**(-3\/8) assuming b is positive.\nAnswer: b**(-689\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-130)\/10 - -13 - (0 - 6). Solve 14 + v = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-32)*d)\/((d**(-3\/5)*d)\/d*d))\/(d**(-13)*d\/((d*d*d\/(d**(-2\/27)\/d)*d)\/d)))**16 assuming d is positive.\nAnswer: d**(-33104\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -510 or -776?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 913*x + 56609. Calculate n(-62).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211001 + 1220020?\nAnswer: 20201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -10\/9, 0.4, 4631?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, 3 in decreasing order.\nAnswer: 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5968 is divided by 215.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 7 - (81 - 20 - -38)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -3, 5, 0.4, 1\/5 in descending order.\nAnswer: 5, 0.4, 1\/5, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*((-232)\/30 - -8)\/2?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 170*i - 175*i - 50. Let r be ((-159)\/45 + 3)*i\/4. Let k = 1.5 - 2. Put r, 23, -3\/2, k in ascending order.\nAnswer: -3\/2, k, r, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -1\/5*i**2 - 2\/25*i**5 + 0*i + 1\/10*i**4 + 2\/15*i**3 + 6. Let r(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d. Suppose m = -d*m + 5*u + 2, -u = 5*m - 36. Calculate the highest common factor of 63 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 44 = 6*k. Suppose 15 = q + 4*a, -2*q + 5*a = 3*a - k. What is the second derivative of -q*u**3 - 4*u**3 - 59*u**2 + 59*u**2 - 7*u wrt u?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 1. Let q(x) = -5*x**2 - 5*x + 2. Let i be 128\/252 - 12\/54 - (-32)\/(-14). Calculate i*z(g) - q(g).\nAnswer: 5*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*y - 416, -2*y - v + 406 = 2*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 219552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 35 = 5*j, -28 = -2*j - u - 4*u. Let h(n) = n**2 - 12*n + 33. Let x be h(j). Is 1\/1*(18\/2 + x) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-14))\/(8\/672*-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*0\/(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9509 by 24039.\nAnswer: 9509\/24039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -292465 - -99068. Let z = u - -945391. Let y be z\/(-8) - 6\/8. What is y rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3211*p**3 + 6845*p**3 + 2479*p**3.\nAnswer: 12535*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 134.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1108, -2216, -3324, -4432, -5540, -6648?\n\"Answer: -1108*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 695416 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 - 5 + 11)*(-z + 3 - 3 - 2*z - z + 2*z + (z + 0 + 0)*(-3 + 3 - 1)) in the form f*z + p and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 3*c**2 + 7*c + 20. Let p be b(4). Calculate the greatest common divisor of p and 1024.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 21 + 51. Let g = -133 - -88. Let b be (g\/(-12))\/(1\/4). Calculate the greatest common divisor of b and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -21*r**3 + 102*r**2 - 174*r + 421. Calculate k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -19. Let v(f) = -2*f - 5. Let y be (-32)\/8*(-5)\/(-2). Calculate the remainder when v(y) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15cc - -2ba2?\nAnswer: 44a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6487, -25758, -57879, -102850, -160671, -231342, -314863?\nAnswer: -411234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 3 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + (sqrt(171) + (sqrt(171) - (-2*sqrt(171) - sqrt(171))) - sqrt(171)))*-1)\/sqrt(9))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6253, 6216, 6177, 6136?\nAnswer: 6093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -209*t - 25220. Determine c(-120).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.97001272 - 0.97. What is l rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 16*m - 56. Is 6 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxraaacajrcckrcaaaxa. What is prob of picking 3 c?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3 = 9*x - 12*x, 5*x + y = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 80874374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -32. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - t**2 - 3*t**2)*(2*t**2 - 1 + 1) + (-5*t + 3*t + 0*t)*(-t**3 + t**3 + 2*t**3) - 3*t**2 - t**4 + 3*t**2.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:33 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 55, 3, 9, -1, 4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {t: 12, w: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 0*m + m + (-1 + 1 - 1)*(2 - 2 + m) + 8*m - 6*m + 3*m - 3*m + 4*m + 11*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73102103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/40 - 37\/120. Let f = -1 + 2. Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3118678?\nAnswer: 2, 101, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -623\/2237742?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.10448 + -0.10448. What is the second biggest value in w, 23, -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19040957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*((-31)\/186)\/(1\/3). Let t(n) = 24*n**2 - 4*n + 34. What are the prime factors of t(l)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-12))\/(67312\/(-9188040)). Let s = k + -1\/16828. Calculate the common denominator of s and 23\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 903, 3856, 8775, 15660, 24511, 35328?\nAnswer: 48111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94 and 0.1.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(85)\/sqrt(5).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 l, and 1 m when four letters picked without replacement from ldllmessomolldll.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33077, -62951, -92831, -122717, -152609, -182507?\n\"Answer: -3*y**2 - 29865*y - 3209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91326? (a) 0.2 (b) -7 (c) 12 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 18. Is m > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 156?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12824 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 = -30*h + 28*h. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/14)\/((-3)\/(-18)) - -1. Let i(b) be the first derivative of 0*b - 3 - s*b**2 - 2\/21*b**3. What is l in i(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 39 = 5*r + 4*h, 0 = 3*r - 2*h - 67. Let b = 187 + -112. Calculate the remainder when b is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -23*v - 77. Calculate a(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 17*w + 50. Let p be s(14). Let v(j) = 4*j + 11. Let x(k) = -7*k - 20. Let q(o) = -5*v(o) - 3*x(o). Give q(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977, -928, -857, -752, -601, -392, -113?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1, -144, 0.5, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*l - 22*c*w**2 - 2*c + l*w**4 + 2*l*w**3 + 3*l with respect to w.\nAnswer: -44*c*w + 4*l*w**3 + 6*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 + 4*w. Let n(v) = -2*v**2 - 11*v. Let q(g) = -4*g**2. Let k = 313 - 312. Let f(u) = k*n(u) - 4*q(u). Give 17*a(x) + 6*f(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9476, 9445, 9412, 9377, 9340, 9301?\nAnswer: 9260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7861 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 31610*p**2 + 758638*p - 46. Determine r(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11995551*j = -11995454*j + 4074 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 0.2, -5, -31, 0.0546 in descending order.\nAnswer: 0.8, 0.2, 0.0546, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9733 in -3, 4, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 5:42 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 56*c - 43*c - 4*w, 0 = w + 4 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*o - 60, -3*o - 8 = -d - 4. What is the remainder when 46 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 2, 3\/2, -9, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p + 85*p + 14 = 0. Let w(u) be the second derivative of -1\/60*u**5 + 1\/18*u**4 - 2\/45*u**6 - 2*u + 0 + 0*u**2 + 1\/42*u**p + 0*u**3. Factor w(m).\nAnswer: m**2*(m - 1)**2*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0274735 milligrams to tonnes.\nAnswer: 0.0000000000274735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93175 = 349*u - 2704*u - 80764 - 141631 for u.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - t + 2. Let i(w) be the first derivative of 4*w**3\/3 - w**2\/2 + 5*w - 78. What is 2*i(d) - 5*l(d)?\nAnswer: -2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + (5\/15)\/((-3)\/(-297)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*v - 3*x + 162, 4*v - 239 = -5*x. Calculate the highest common divisor of 112 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 0 - 2*b - 67*b**2 - 9\/8*b**4 + 1\/20*b**5 - 9\/2*b**3 + 1\/40*b**6. Determine o, given that k(o) = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1280, 2107, 3486, 5423, 7924, 10995, 14642?\n\"Answer: v**3 + 270*v**2 + 10*v + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -311 + 326.3. Let v = t - 15.3077. Round v to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.5752 rounded to zero dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*j**2 + 87*j**2 + 151 + 312 + 445 in the form p*j + i*j**2 + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.777 to 0 dps.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -785 times 44299?\nAnswer: -34774715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -666361, -666334, -666315, -666304, -666301, -666306?\n\"Answer: -4*f**2 + 39*f - 666396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 5*q + 5*q + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-228)\/24)\/(-19)*17482 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5157400 rounded to the nearest ten thousand?\nAnswer: 5160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - q. Let i be r(1). Suppose i = 2*k - 5. Suppose -15 = -0*o - k*o. Solve -2*n + 19 = 5*m, -14 = -5*m - o*n + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -n. Let b(k) = -k**3 + 6*k**2 + 55*k - 190. Let m be b(3). Sort 2\/3, 2\/7, n, m.\nAnswer: n, 2\/7, 2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10126 - 5063 - 5063 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -21*i**2 - 7*i - 9. Suppose -46*v - 30 = 3*t - 42*v, v + 4 = t. Determine m(t).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72.27752l?\nAnswer: 72277.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1290, -2578, -3866, -5154?\n\"Answer: -1288*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 9498584?\nAnswer: -9498587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - 2*(sqrt(720) + sqrt(720) + 0) - sqrt(720)) + sqrt(720)*-1*-2)**2 - (sqrt(720)\/(sqrt(12)*2))\/(sqrt(60)\/sqrt(5)*-2).\nAnswer: sqrt(5)\/4 + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**7\/1680 + f**5\/20 + 6*f**2. Let l(h) be the third derivative of d(h). Let u(q) = -q**2. Calculate u(l(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -358, -705, -1046, -1381, -1710?\n\"Answer: 3*z**2 - 356*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*u - 240, 2*n + 0*n = 4*u + 476. Suppose f + 3*f = n. What are the prime factors of f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 612591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let h = 18 - 15. Let d(n) = n - 3. Let b(f) = h*r(f) + d(f). Determine b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/71))\/n**(-5\/4))\/(n**(-1\/12)\/n*n*n*n\/((n*n\/n**(-3\/7)*n)\/n)*n*n) assuming n is positive.\nAnswer: n**(1094\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*t - 804*t - 518*t - 12816 = 0 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 39*k - 30. Calculate the lowest common multiple of p(2) and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1073\/13 + -91159\/1092. What is the common denominator of o and -31\/2520?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/43)*n\/n**(1\/2) assuming n is positive.\nAnswer: n**(125\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.13 + 0.13. Let u = p + 15. Which is the second smallest value? (a) u (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48949?\nAnswer: 31, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5 = -c, -322*x - 30 = -324*x - 2*c for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 141075*h - 4752. Let r(f) = -297*f + 10. Give 2376*r(q) + 5*u(q).\nAnswer: -297*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 1 - 1)*(216*g**2 - 7*g**2 + 19*g**2).\nAnswer: 456*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -57 - 13. Let f = k + 18. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1593)\/1180*(-22)\/99?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -33. Suppose -1554 = -4*n - 2*r + 1014, 0 = c*n + r - 1925. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -464 - -467. Let v(h) = 31*h - h + 10 + 4. What are the prime factors of v(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 864945510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -14. Suppose -8*j + o*j + 20 = 0. Solve j*h - 3 = -v, 3*v + 3*h + 5 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 0 - 4\/(4\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + 0.05. Suppose 3*o - l - 5 = 0, 5*o - 8 = -0*l + 2*l. Which is the closest to r? (a) -5 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -43 + 5*n - n + 43. Let i(z) = -2*z**2. Give b(i(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-13 - -26 - (-8 + 32))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzuijjiqq. Give prob of picking 1 j and 1 q.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-9\/5)*n)\/(n\/((n*n**(-2))\/n))*n**(3\/10)*n\/n**6 assuming n is positive.\nAnswer: n**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(5 + -1 + sqrt(684)) - (-1*(-1 + sqrt(684) - sqrt(684)) + -4))**2.\nAnswer: 624*sqrt(19) + 11116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4467 is divided by 149.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*h**3 - 259*h + 68*h + 91*h + 100*h - 3.\nAnswer: 152*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19712)\/52360 - -1*(-2)\/(-10).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 101235431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 83891.80879.\nAnswer: 83889.80879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 75 (b) -22 (c) -1.4 (d) 0.02 (e) -3\/4 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41\/5 + 789\/95. Which is the second smallest value? (a) 1 (b) -2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1622*i**3 + 1257*i**2 - 1257*i**2.\nAnswer: -1622*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 - z + z)*(4 + 2 - 1)*(5*z**2 - 3*z**2 + z**2) + (0 - 4 + 6)*(0*z**4 - z**4 + 3*z**4).\nAnswer: -71*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1927*k - 5*k**2 + 642*k + 642*k + 643*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1782383 (base 10) to base 5\nAnswer: -424014013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111079 divided by -241?\nAnswer: 111079\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/576)\/(54\/(-891)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537180648?\nAnswer: 2, 192147581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, y: 9, o: 2}. What is prob of picking 4 y?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a = -2*q + 75*a + 52, -5*q = -12*a - 10*a + 8 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30908, 123372, 277452, 493148, 770460, 1109388?\n\"Answer: 30808*m**2 + 40*m + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + a**3 - 10*a**3 - 12*a**3.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - ((4*sqrt(20))\/sqrt(10))**2 - (sqrt(8)*1 + sqrt(8))**2.\nAnswer: -64 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2 - 6. Let l be ((d + 1)\/2)\/(-2). Let a = -303\/5 + 61. Which is greater: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 743409, 743397, 743371, 743325, 743253?\nAnswer: 743149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 + 116 = 8*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, 2\/3, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**18\/((q\/((q*q**(-2\/5)\/q*q)\/q))\/(q*q**5\/q))*(q**(4\/9)\/((q**(-2)*q*q)\/q))\/(q\/(q\/(q\/(q*q**(-2\/3))))*(q\/(q*q**(-1\/9)))\/q) assuming q is positive.\nAnswer: q**(79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2403057*x**2 - 1201505*x**2 - 1201522*x**2.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*y**4 - 2*y - 33*y**3 + 122*y**3 - 88*y**3 + 8 to l*y**4 + o*y**2 + d*y + j + g*y**3 and give l.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = -0*k. Suppose -k*b + 5*b - 5 = -r, 3*r + 29 = 5*b. Find the first derivative of -a - 8 - 15*a - 19*a + b*a wrt a.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 257, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 784155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 6*p**3 - 705*p**2 - 32734509*p + 16367430 = 0.\nAnswer: -2278, 1\/2, 2395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10\/9, -1, -36 in ascending order.\nAnswer: -36, -1, 10\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 251*b**3 + 2*b - 2. Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 1772, 6050, 14396, 28166, 48716, 77402, 115580?\nAnswer: 164606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*x + 6*x - 7347 = 0, 3*d + 2*x = 7346. Suppose -5*j = -d - 552. Suppose 0 = q + a - 621, -4*a + j = q - 15. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9780, -9782, -9782, -9780, -9776, -9770?\n\"Answer: j**2 - 5*j - 9776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 - 20*k**3 + 16*k = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-376)\/(-3))\/(10\/(-15))*46\/184?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -919407 to the nearest 1000.\nAnswer: -919000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -1\/25, 2\/9.\nAnswer: -1, -1\/25, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 4*t - 0 - 4, 4*t = v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwp when three letters picked without replacement from {w: 3, v: 3, p: 1, r: 6, b: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8417, 22 in ascending order.\nAnswer: -8417, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/2 + 1012701*t\/2 - 1012703 = 0. Calculate t.\nAnswer: -1012703, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 162, 154, 144, 132, 118?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, e: 4, m: 5, f: 1}. Give prob of sequence mlm.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5401626 - -4?\nAnswer: 5401633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Suppose -2*b - 15 = l*b. What are the prime factors of (44 - -7)\/(b\/(-2))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:02 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 21*l - 1\/3*l**3 - 31 + 9\/2*l**2. What is the derivative of c(r) wrt r?\nAnswer: -2*r + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 34773.63\nAnswer: 34783.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 7*i**2 - 4*i - 7. Let n be h(6). Suppose n*y - 93 = -3. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -o - 3*b, -2*b - 2393 = -3*o - 2*o. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12060452.8557 less than -141.6?\nAnswer: 12060311.2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 35*r**2 + 2595*r - 1260. Let p(i) = -i**2 - 73*i. Let d(w) = -l(w) - 30*p(w). Solve d(z) = 0.\nAnswer: -84, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010100000011101111 (base 2) to base 11\nAnswer: 871544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 3. Let k = 13 - 9. Let q be (60\/135)\/(86\/(-18) - -5). Suppose -10 = -k*m + 2*l - 5*l, -q*l + 4 = 2*m. What is a(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68684?\nAnswer: 2, 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/9 + 43876*a\/9 + 4875 = 0.\nAnswer: -43875, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987 smaller than 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -585921*t**3 + t**2 - 516773*t.\nAnswer: -3515526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -95 + 119662?\nAnswer: 119567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -2*d + 96. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37\/3998 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 241 + 257 = -3*n, 4*n + 20 = 4*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-36)*18\/(-15))\/(2\/(-6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 31. Let s = n + 23. Solve -2*q = 3 - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + (30 - (-3 + 7 + 5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 809 - -151687?\nAnswer: 152395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 174280805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1732579 rounded to 3 decimal places?\nAnswer: -9.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -1, -2, -37886 in decreasing order.\nAnswer: 4, -1, -2, -4, -37886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -950*q. Let v(b) = -4*b**2. Give v(r(u)).\nAnswer: -3610000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1776.9159 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9255737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9 + 17*h**2 + 8*h + 3*h + 3*h - 4 + 3*h**2. Suppose 34 = 5*q + 2*a, 2*q - 3*q + a + 4 = 0. Let v(n) = -7*n**2 - 5*n - 2. What is q*t(b) + 17*v(b)?\nAnswer: b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 + x + 1. Let r = 1408 - 1404. Let i(h) = h**3 - 4*h**2 + 4*h + 4. Determine r*p(f) - i(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -46405302.\nAnswer: 9281060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + k + 19 = 0, -4*f + 18 = -7*f + 3*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -51. Which is the nearest to -1\/5? (a) m (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2012020000222 (base 3) to base 5\nAnswer: 244300242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b + 648 = -12*b - 2*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 67*d - 14. Let a(q) = 17*q - 4. Let u(p) = 23*a(p) - 6*j(p). Let h(y) = -10*y - 7. Calculate -6*h(n) + 5*u(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmfmmmmsmm. Give prob of picking 4 m.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/d**(2\/15))\/d)\/d*d)\/d)**47 assuming d is positive.\nAnswer: d**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -25*h - 6. Suppose -4 = d + 1. Let l be n(d). Suppose 4*t = v + 113, -t + l = 3*t + v. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(108)*3 - sqrt(108))*-6 + 5 - (sqrt(108) + 2*sqrt(108) + -2 + sqrt(108))*-6)**2.\nAnswer: -31202 + 2016*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001922988 rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 45 - (-3 - -7) - 10\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((sqrt(25)*3 - sqrt(25))\/sqrt(5)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1276a22 - 4?\nAnswer: -1276a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 526995*-0.148\nAnswer: -77995.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 6145*g**2 + 185194*g - 345800 = 0.\nAnswer: -6175, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-16)*(7 + (-252)\/35)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h - 1. Determine w(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9831 and 60?\nAnswer: 196620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -61*o**6\/6 - 10*o**2 - o - 33. What is the second derivative of x(n) wrt n?\nAnswer: -1220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k - 54 - 254*k**2 + 88*k**2 + 85*k**2 + 83*k**2 as j*k**2 + u*k + f and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 4*n - 3. Let h be p(-5). Suppose -h*v + 14 = 2*w, -3*v - w = -6*v + 1. Suppose -v = -5*j + 133. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10 + 69\/7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 - -159. Is (-1082 + (-10)\/2)*v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-40.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/(((-10)\/(-10)*-4)\/((-840)\/(-12)))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31842669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210020 + -1022121?\nAnswer: -2002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*w**2 + 2 + 130*w**2 - 98*w**2.\nAnswer: -41*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 20. Let k be x(18). Suppose 5*f - 7 = -k. Solve f + 3 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u + 2*u**4 - 6*u**5 + 17*u - 2*u**4 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((12 - -3)\/30)\/((-3)\/2 - 0). Which is the nearest to 1\/14? (a) -0.4 (b) o (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3\/4 - c**2\/2 + 7*c\/4 - 1 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + 2*i + 2. Let u be k(-2). Suppose u*n + 3*n - 50 = 0. Let q = n - -4. What is the smallest common multiple of q and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199226439.\nAnswer: 19, 293, 215417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 20*m + 36. Let i(h) = 20*h + 36. Give 2*g(y) - 3*i(y).\nAnswer: -20*y - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/3)\/((-1)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -783\/94 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1034.1 + 1059.1. What is the fourth biggest value in 2, 1\/9, 2\/3, t, 12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11868, 11876, 11884, 11892, 11900?\n\"Answer: 8*g + 11860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 4697, 16148, 38437, 75176?\nAnswer: 129977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.1 + -61. Let l = 1.5 - -11.5. Let q = l + v. What is q rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhhsbhhhh. What is prob of picking 3 h and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650.2 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7698 divided by -6\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - d - 96892 = -3*d, -5*d = 3*n - 72676. Suppose -37*p + n = -4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Let v be l(9). Suppose 0*m + v = 5*m. Solve -5*d + 23 = -y, -y - 14 = -m*d + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-10) - 2)\/((-1)\/6). Suppose 2*k = 5*w - 51025, t*k - 4*w + 2985 + 73535 = 0. Round k to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*j**5 - 44*j**3 + 44*j**3 - 2*j**5 + 2*j**5 + j**5 + (-j**3 + 2*j**3 - 3*j**3)*(-2 + j**2 + 2).\nAnswer: 60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 30*a**2 - 4*a + 22. Let m(p) = -p**3 + 30*p**2 - 3*p + 22. Let n(k) = -2*l(k) + 3*m(k). Is 13 a factor of n(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 0*a + 34*a**4 - 31*a**4 - 3*a**3 + a**2 + 0*a in the form g*a**3 + l + m*a**4 + r*a**2 + p*a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2 and -28\/9715961.\nAnswer: 19431922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3 + 125*i - 157?\nAnswer: -3*i**2 + 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from rrzrzruurzuur.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 3913?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = u - 4*l, 0 = u - 3*u - 2*l + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-105 + 221 - 128 - 35*c**4) as d*c**3 + n + u*c**4 + m*c + s*c**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + g)*(-4 + g + 4) - 2*g**2 - g**2 - 5*g**2 to the form y*g + k + o*g**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 6, 16, 28, 42?\n\"Answer: k**2 + 5*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4 + w - 2 - 2. Let n be r(6). Put 3, -4, n in decreasing order.\nAnswer: 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 3*l**2 + 3*l. Suppose 12 = -6*o - 6. Let g(j) be the third derivative of j**6\/20 + 4*j**5\/15 + 2*j**4\/3 - j**2. Determine o*g(q) + 16*z(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q + 234 = -21*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 5*m**2 - m + 5. Let s be n(5). What is the third derivative of -30*v**2 + s + v**4 + 34*v**2 + 0 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6074411 is divided by 289257?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*r**2 - 13*r**2 - 2*r**2 + (0*r + 2*r - 4*r)*(2*r + r - 2*r).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.1, 0, -3\/2, -5 in descending order.\nAnswer: 0.1, 0, -3\/2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5252030 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/12*1*6\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {k: 8, d: 1, o: 11}.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2748 or -2882?\nAnswer: -2882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 18 + 8 + -16 + -14 - 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28552 and 498?\nAnswer: 85656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1151\/11 + 109. Find the common denominator of -6 - (-26 - (-40)\/8) and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 + 914. Does 69 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkpk when four letters picked without replacement from {k: 15, p: 4}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22673378 + 1542*v + 38796840*v**2 + 11926*v - 38796838*v**2 = 0. Calculate v.\nAnswer: -3367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l + 5. Let u(y) = -7*y + 6. Let z be 5*133\/(-1045)*11. Give z*c(a) + 6*u(a).\nAnswer: 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 74 = -5*w. Suppose -w = -d + 5*m, -5*d + 14 + 98 = -m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83300, -166596, -249892, -333188?\nAnswer: -416484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 540140982 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 825 + -588. Let h = o + -230. Solve -5*k = -h*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q - 11091 + 29*q + 25*q - 85*q + 3*q**2.\nAnswer: 3*q**2 + 2*q - 11091","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -32, -2, -5 in decreasing order.\nAnswer: -2, -5, -32, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -153\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796252936.\nAnswer: 2, 224531617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.9. Let a = n - -1.1. Let k be (-4)\/10 - (-105)\/75. Put a, k, 0.5 in descending order.\nAnswer: k, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/11, -3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/544 - 65833\/1632. Let p = s + 40. Put -5, p, 12 in decreasing order.\nAnswer: 12, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/8)\/v**(1\/4)*v\/v**(-9)*v\/v**(-12) assuming v is positive.\nAnswer: v**(183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87*h*u**2 + 3*h*u - 23*u**2 + 2 wrt h?\nAnswer: -87*u**2 + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 5*y - 4*y. Let t = y - -278. Suppose 2*l - 5 - t = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 9. Suppose 2*v - c - 69 = 2*c, -5*v + 179 = -c. Calculate the lowest common multiple of h and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1440 - -4012. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 21\/2012?\nAnswer: 21\/2012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 4. Let d(f) = -3*f**2. Give d(t(l)).\nAnswer: -12*l**2 - 48*l - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367 + -231. Let f = 148.1 - i. What is f rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + -95.6. Let n = 1.4 - r. Let g = -8 - n. What is the closest to 2\/3 in 0, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 3*c. Let o be (-2)\/4 + (-22)\/c. Let t = o - 3. Solve -4*n = -5*f - 37, -t*n + 3*f + 23 = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 54*z**3 - 7*z**2 + 18*z - 40. Let u be v(-20). What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37484 and 80243873?\nAnswer: 9371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4530 - -4530.02229. What is t rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3241 - 5?\nAnswer: -3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 96*l + 1152.\nAnswer: 2*(l + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/7)\/((1\/(-42))\/(-1)). What is the second derivative of 506*w - 985*w - i*w**3 + 512*w + 2 wrt w?\nAnswer: -252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2028*s - 6684. Let f(m) = -m. Determine y(f(i)).\nAnswer: -2028*i - 6684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 871 divide 90716832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002133 (base 4) in base 10?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*c - 71 = 0, -c = 5*y - 145 + 452. Let u = -60 - y. Suppose -h + p + 3*p + 169 = 0, -u*h - 4*p = -386. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1)\/((-25)\/50 - 527\/(-1020))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f - 19. Let r be t(-5). Suppose -1 = -v, 0*v + r = 2*a - v. Calculate the remainder when a is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/1)\/(7\/((-140)\/(-6))). Suppose 11*w - 68 - f = 0. What is the least common multiple of 12 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2. Let w(u) = u**2. Let p(r) = -a(r) + 2*w(r). Let h(f) = -4*f + 7*f - 5*f. Calculate h(p(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 3 - (2 - 5) - -17\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -170*v + 250. Let c(h) = -53*h + 83. Determine 5*a(t) - 16*c(t).\nAnswer: -2*t - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8124052910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10874, 10880, 10886, 10892?\nAnswer: 10898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 151 = 3*f, 3*f + 4*g = -0*f + 119. Let j be f\/20 - 2\/8. Suppose 59 = 3*x - j*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, t: 4, v: 1, h: 3}. Give prob of sequence tt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 + 8*k + 10. Let h be 4*1\/((-2)\/(-3)). Let u(w) = -w**2 - 1. Let o(m) = h*u(m) + p(m). What is the units digit of o(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306 - -515. Let f be 50749\/w + 4\/22. Suppose 2*u - f = 551. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*p + 84018. Suppose -j = -5*r + 73984, 5*j + 492774 = -5*r + 122704. Let c = p + j. What is c rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864\/(-1152)*1*24\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3.87 (b) -4\/7 (c) 2.5 (d) 2\/61 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2132)\/(-1482) - 10\/95?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1387*-20390.\nAnswer: -2828.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 5*d + 22. Let f(b) = 2*b - 11. Give 5*f(a) + 2*s(a).\nAnswer: 2*a**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5148.1 * 0.5\nAnswer: -2574.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372559323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12\/v**(2\/77))\/((v**(11\/4)\/v)\/v**(2\/31)) assuming v is positive.\nAnswer: v**(98235\/9548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.909137 rounded to three dps?\nAnswer: -1.909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 - 2. Suppose d*y - 4 = -0*y. Suppose -5*s - 5*q + y*q = -66, s = q + 18. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4833508 * 4\nAnswer: -19334032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25680 and 1320.\nAnswer: 282480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -78, -164, -274, -402, -542, -688, -834?\n\"Answer: k**3 - 21*k**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 26. Let j(i) = -221*i. Give v(j(c)).\nAnswer: -663*c + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)\/s**(2\/37)*(s**(3\/17)\/s)\/(s**(-3\/10)*s))**(6\/7) assuming s is positive.\nAnswer: s**(-39297\/3145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:09 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 - (-268003 + (-1 - -3)). Round x to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258300 is divided by 188?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*q - 2, -3*i - 2*q + 6 = 2*q. Let w(z) = 25*z**3 - 4*z**i + 2*z**2 - 13*z**3 + 90*z**3 + z. Calculate the remainder when w(1) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r - 107. Determine x(12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48, -214, -522, -1044, -1852, -3018, -4614?\n\"Answer: -12*d**3 + d**2 - 85*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -589 - -655. Let l = -367 - -432. Is l >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045951739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 68 = 28*k. Suppose -5*t = -b - 183, 3*t + 2*b - k - 34 = 0. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(864) - (sqrt(864) - (-5*sqrt(864)*-1 - sqrt(864))))\/(-4*2*sqrt(768)).\nAnswer: 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1098.63 to zero dps.\nAnswer: -1099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k + 6 - 20*k + 10*k)*(2*k - 13*k + k) to u + a*k + n*k**2 and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -53, 89 in descending order.\nAnswer: 89, -1, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**8\/168 - y**7\/105 - y**2\/2 + 11*y. Let m(b) be the first derivative of i(b). Factor m(g).\nAnswer: -2*g**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 198*r - 103*r - 104*r. Calculate the remainder when c(-3) is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2890.\nAnswer: 1\/2890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3365 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/20 - 7*p**4\/12 + 4*p**3\/3 - 5*p**2\/2 - 8*p. Let g be c(-8). Let k(z) = -39*z + 14. Is k(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o + 2 = -2*b, -4*b - 12 = -4*o. Sort -3, b, -4.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 4*s**2 + 3*s**2 - 2 + 811*s - 2745*s.\nAnswer: 2*s**2 - 1934*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 55083*u\/2 + 6255195.\nAnswer: 3*(u + 230)*(u + 18131)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4480 + -4483. What is the closest to 2 in 9, -22\/9, u?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -223594.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 - 5*x**5 - 4 - 4*x**2 + 1 wrt x?\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2551428 divided by -39?\nAnswer: 850476\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - ((0 - 0) + 45) - (57761 - 57770).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 27*n**2\/2 - 5017. Let w(l) = -44*l**2. Calculate w(i(h)).\nAnswer: -32076*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v**5 + 0*v**4 + 0*v**3 + 5\/6*v**6 + 6 + 0*v - 11\/2*v**2. What is the second derivative of f(p) wrt p?\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 959 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 62 in decreasing order.\nAnswer: 62, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x**(1\/2)*x**(2\/11)\/x**4)\/(x**(3\/2)*x\/(x*x**(-2\/7)*x)*((x**(-1\/4)*x)\/x)\/(x*x\/x**0)) assuming x is positive.\nAnswer: x**(-2945\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -385.375 - -385. Let l = b - 0.125. What is the closest to 1 in -5, -3, l, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 20, -4*y = -4*t - 73 - 35. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -5*k**8\/336 + k**7\/21 + k**6\/8 - k**5\/3 - 5*k**4\/6 + 17*k**2. Factor w(l).\nAnswer: -5*l*(l - 2)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5834, 11670, 17506, 23342?\nAnswer: 29178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 less than 12.5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - 3*c)*(-3 + 1 + 4 + (4 - 3 + 1)*(1 + 3 - 2)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 959819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 574 - 726 = 0. Let r = j - -55. What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 3919 = 1652. Does 54 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 16, 0 in descending order.\nAnswer: 16, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 16. Let u(v) = v**3 + 2*v**2 - 1. Let q be u(-2). Calculate the remainder when (q - -4)*15\/3 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 1, r: 1, l: 1}. Give prob of sequence lu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 113*s + 176. Let d be o(58). Which is the biggest value? (a) d (b) -88 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.178 (b) -6 (c) -2\/5 (d) 0.1 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -795*r - 9. Let k(q) = 4769*q + 57. What is -6*k(y) - 38*w(y)?\nAnswer: 1596*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 2*a - 30 = -10*n, -4*n = 2*a + 52 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12425308 (base 9) to base 15\nAnswer: 8071e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 5*l - 5. Let i = -449 + 453. Suppose -2*n = -i*u + 5*u - 1, -3*u + 5*n = 30. Calculate f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 10*s + 3. Let t be m(-10). Suppose -t*c = 4*q - 5, 5*c - 4*q + 9 = -2*q. Let x be (3 - 1)*c + 1. Do -1 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**7\/14 + 3*j**6\/10 + j**5\/5 + 3*j**2\/2 - 7. Let t(v) be the second derivative of n(v). Factor t(l).\nAnswer: 3*l**2*(l + 2)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 97586, -1, 18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/2)\/3 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 79*(-4)\/(-1580)*-445\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 131 + (-155 - 43) + 76\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 19. What is the common denominator of ((-1)\/(w\/46))\/4 and -49\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 9*l**2 + 4. Suppose 3*b = 2*b - 9. Let c(x) = x**3 + 10*x**2 + 8*x. Let m be c(b). Calculate v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1) + ((-30)\/(-50) - 5). Let r = -6 - -8. Suppose -i = -2*i - 1. Which is the closest to i? (a) r (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4178.59 rounded to the nearest ten?\nAnswer: -4180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**12*m**(-3\/5))\/(m*m*m\/(m*m**12)*m*m**(1\/13)*m) assuming m is positive.\nAnswer: m**(-239\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -680, -682, -686, -692?\n\"Answer: -d**2 + d - 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, m: 4, j: 1, x: 2, v: 4}. What is prob of picking 1 j and 1 v?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2722 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*l + (0 + 3 + 0)*(-11*l + 7*l + 14*l).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2948 + 226 - 224)*(f - 6*f + 3*f) to b*f + c and give b.\nAnswer: -5900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = -5*c, -3*c + 3 = -6*c. Suppose -n*u = 4*y + 15, 0*u = y - u - 5. Suppose y = -16*o + 21*o - 70. Solve -o = -5*v + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1075*j**5 + 446*j wrt j.\nAnswer: -21500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 16. Suppose 3 = y - 2*x + 1, -5*y - 4*x - 4 = 0. Suppose p + y*p - 2 = 0. What is the highest common divisor of i and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -1. Let d = q + -6.999904. What is d rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19))**2*1*-2*2.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 348, 2\/9, 31, 3\/2, -3 in descending order.\nAnswer: 348, 31, 3\/2, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00167121395 to 6 dps.\nAnswer: -0.001671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, -3, -6, -2\/9, -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3773 + -423969?\nAnswer: -420196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t - 7. Let v = 0 + 4. Suppose 36 = -x + v*x. Is b(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + -12)\/(2\/(-2)). Suppose y = -4*z + 3*z + 39. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -144. Suppose 2 = c - u. What is the remainder when 160 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 224080\/11? (a) 2 (b) 0.2 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 5 (c) -1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - -1 - (1196 + -1120) - (-23 + 0).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**6*m**(-2\/3))\/(m**(1\/3)\/m)**(1\/37)*(m**(-1)*(m**4\/m)\/m*m*m)**18 assuming m is positive.\nAnswer: m**(2270\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*952\/70?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8223518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4737, -9406, -14079, -18756, -23437, -28122, -32811?\nAnswer: -37504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48742040471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/515 and 51\/55.\nAnswer: 5665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*c + 390691 = -3*c, -260442 = -2*x - 4*c. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 1240?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 10}. Give prob of sequence sa.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 3*o + 7. Let y(z) = 2*z**2 - 4*z**2 + 1 + 2*z**2 + z + z**2. Calculate -f(s) + 3*y(s).\nAnswer: s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8 + 1)\/((-6)\/(-12)). Suppose -l = q*l - 12. Differentiate -l*a + 37 - 13 - 18*a with respect to a.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -2*j**3\/3 - j - 1. Let b(c) be the first derivative of w(c). Let g(z) = -2*z. Determine b(g(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 129*b - 1381. Let w be k(20). Are w and -2\/5493 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -3, 17, 5, 44 in ascending order.\nAnswer: -10, -3, 2, 5, 17, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(0 - 2)*0. Suppose -t - 3*t = b. Sort -3, 3, t in increasing order.\nAnswer: -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/8 + 2*w**2 - 10*w. Let q(v) be the first derivative of b(v). Let g(n) = 23*n**2. Determine q(g(f)).\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-35))\/(1\/5). Suppose 2*c = 3*x - 6*x + 7, g*c = -x. What are the prime factors of 74 - (-1 + x - 2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.2 (c) -0.11 (d) 3258.75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125343*d**4 + 1691*d**2 - 8 wrt d?\nAnswer: -3008232*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7406 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119 - (2 - -1) - (337 - 337) - 13) + -3?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.4 + 57. What is z rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*z - 3*z**2 + 26*z**3 - 281*z.\nAnswer: 26*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.663 - 0.663. Which is the fifth biggest value? (a) f (b) 0.5 (c) 2\/5 (d) 1 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*i - 409*i - 979*i + i + 3*i - 3*i + (3*i - i + 0*i)*(1 + 0 - 3) - 1 + 1 - 2*i - i + 3*i - i + 0*i + 4*i - 5*i)*(-1 - 2 + 0).\nAnswer: 3450*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6298 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -1\/24*k**4 - 1\/120*k**6 + 0 + 2*k**2 - 5\/3*k**3 + 0*k + 0*k**5. What is b(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*j + 56. Let g(s) = 5*s**2 - 326*s - 122. Let c be g(66). Let y = j + c. What is the greatest common factor of y and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Solve 2*v - 3*v - s = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -2, 8, 24, 46?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(1\/3). Let i be 16\/6*9\/6. Let v(q) = q**3 - 4*q**2 - 2*q + 3. Let l be v(i). Put -2, l, u in decreasing order.\nAnswer: u, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 63*m - 67*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z*z\/z**(-1\/2))\/((z*z*z**5\/z*z*z)\/z**(-1))*(z**(-4)*z\/(z**(-1\/10)\/z))\/((z\/z**5)\/(((z\/z**(-1\/4))\/z)\/z*z)) assuming z is positive.\nAnswer: z**(-541\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5 = -4*b - 1, 0 = -b + 5*q - 16. Suppose b*y = 3 + 1. Let a(g) = 1 - 5 + 3 - 7*g**3. Determine a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227429 = 132*n - 128*n - v, -2*v - 2 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -67*x + 66*x. Let p = -29 - -9. Is x at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -7. Let h = 15 - 15.9. Let k = h - -1. Which is the third biggest value? (a) x (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 43*g + 3. Calculate u(21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose 3*d - 68 = i*y, -4*y = -y + 12. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 4*c - 3*c**3 - 3 - 5*c + 2*c**3. Let l(v) = -4*v**3 - 10*v - 10. Suppose -8*q + 72 = -32*q. What is q*l(p) + 10*a(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 12, c - 2*g + 3*g - 7 = 0. What is the remainder when 84 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 9*z + 2. Let g be v(9). Suppose -109 = -2*k + n, 0 = k - g*n - 30 - 20. Calculate the highest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -248*t + 250*t - 3*x - 19 + 11, -6*t - 28 = 4*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -84469 divided by 2607?\nAnswer: -7679\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmw when three letters picked without replacement from {w: 7, k: 4, m: 2}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -86*b - 80. Let j(y) = -21*y + 34. Let c be j(2). List the prime factors of u(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1064 divided by -266.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:11 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 175*s - 1645040 = -170*s, 4*n - 3290032 = -2*s. What is n rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39365667*q - 23443815 wrt q?\nAnswer: -39365667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4333224 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - f + 0 + 0 + f + f + 2*f - 2*f + (f - 2*f + 3*f)*(1 - 4 + 1) - 600 + 600 - 403*f + 4*f + f - f as l + w*f and give w.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*13\/(234\/372). Suppose -5*t + 2*t = 84. Let x = t + z. Solve -g - 2*g = 3*i - 15, x*i = 5*g - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)\/f)**2\/(f**(2\/11)*(f\/(f*(f\/(f*f**(-1\/4)))\/f*f)*f)\/f) assuming f is positive.\nAnswer: f**(-85\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - j**2 + 10*j - 9. Let x(v) = -4*v**3 - 3*v**2 + 19*v - 18. Let a(m) = -11*i(m) + 6*x(m). What is the second derivative of a(r) wrt r?\nAnswer: -12*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23032231\/240 + 95968. Calculate the common denominator of 47\/60 and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*v - 300*v = 287*v + 5*k, 4*v = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -198*h - 1 + 4*h + 24*h. Is t(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(21)\/sqrt(7))**2 + (sqrt(33)\/sqrt(99))**2)*4.\nAnswer: -32*sqrt(3) + 176\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*p. Let x be (-8 - p)\/(-1 - 0). Suppose -x = -2*c + 18. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 38 - 11 + 178*v**2 - 14.\nAnswer: 178*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38920149 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 912602 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: Suppose 4*v = 5*c - 8*c + 1013, -4*c - 2*v = -1364. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -c - 12, -c = -5*s + 2*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 63 - 369 = -4*z, -3*z + 786 = 5*s. List the prime factors of s.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323\/24 + 109\/24. What is the common denominator of 22\/3 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146a - a58?\nAnswer: -2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 4. Let o be z(0). Let x(h) be the third derivative of 0*h - 2*h**2 + 0 - 1\/24*h**4 - 2\/3*h**3. Give x(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/132 and -31\/194.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*m = 107262, 19*o - 20*o + 3*m - 26803 = 0. Let f = o - -43853. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 351900*c**2 - 2463153*c.\nAnswer: -3*c*(c - 117293)*(c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -9*m - 2*o, 11*m = 15*m - 4*o + 36 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 10:24 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -78, -110, -142, -174?\n\"Answer: -32*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.05. Let v = f - 0.5. What is the second biggest value in v, 2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:01 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 65 - 40. Let n = 445 + -439. What is the remainder when l is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 96364598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2087696 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*v - 53*v - 102*v.\nAnswer: -246*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 643 = -189. Let g(r) be the third derivative of y*r + r**4 - 208*r - 9*r**2. Let m(s) = -2*s**2. Calculate g(m(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48*(2 - 3))\/((-3)\/26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -34*z - 1. Let v(t) = -5*t**2 - 2*t + 125. What is v(d(s))?\nAnswer: -5780*s**2 - 272*s + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + 2*a**2 + 2*a**2)*(2*a**3 - 2*a**3 - 2*a**3) + (-a**3 - 2*a**3 + 6*a**3)*(0*a**2 + a**2 + a**2).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-954)\/4452)\/((-35)\/(-98))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4347, -11272, -20805, -32946, -47695?\n\"Answer: -1304*f**2 - 3013*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjejje. What is prob of sequence ej?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 143*u + 650. Calculate p(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2 - -20 - -2. Let f(r) = -c*r + 5*r + 7*r + 23 + 5*r. Does 26 divide f(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.045 - 0.379. Let g = r + 2.4. Round g to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90178.6 kilograms in nanograms?\nAnswer: 90178600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -0.2. Let f = u - 1.5. Let i = -29.9 + 30. What is the biggest value in f, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 24*k**4 + 120*k**3 - 80*k**2 - 276*k + 216 = 0 for k.\nAnswer: -3, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 28*i - 25*i - 6 = 0, -j - 3*i = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose c = 2*c - y. Suppose 0 = -c*d + 5 + 53. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834\/4117 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f. Let h(z) = -75*z - 22. Let v(t) = 15*t + 4. Let u(y) = 6*h(y) + 33*v(y). Determine u(g(k)).\nAnswer: 225*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**6\/180 - j**3 + 5. Let a(i) be the third derivative of h(i). Let w(l) = -4*l + 3*l + l - 7*l - 8*l. Calculate w(a(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1480368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*s**3 + 9*s**2 + 20*s - 3 wrt s.\nAnswer: -420*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 4*k + 10*k - 6 + 0*k. Let o be f(3). Suppose -o*t + t = -84. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000258745 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 6:53 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -14*w**3 + 499*w**2 + 439. Let m(y) = 5*y**3 - 167*y**2 - 146. Let h(n) = 17*m(n) + 6*z(n). What is the first derivative of h(o) wrt o?\nAnswer: 3*o**2 + 310*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 4. Let d be o(3). Let u(i) be the second derivative of -5*i**3\/3 - i**2\/2 - 9*i. Calculate u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1 + (443 - 2) - -3. Suppose -5*w = 0, -4*v + v = -w - t. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76.41 - -77. Let k = -21.99 + r. What is k rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-260)\/(-104)*2\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/227111?\nAnswer: 1\/227111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*g + 3200 = -53*g. Solve g*y - 9*y + 55 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 99*r - 90. Let d(v) = -v**2 + 25*v - 24. Let b(x) = 9*d(x) - 2*f(x). What is b(25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6735.319 kilograms in grams?\nAnswer: 6735319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u. Let v(h) = 10*h**2 + 9*h. Let o = 14 - 16. Let q(m) = o*v(m) - 18*n(m). Let j(s) = 6*s. Give j(q(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578 is divided by 525.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.5739 (b) -2\/17 (c) -0.083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -108312\/19 <= -5700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1655 + 71*c**2 + 186*c**2 - 160*c - 1655 + 158*c in the form q + v*c + k*c**2 and give k.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let d(p) = -3 + 3*p - 2*p + 3 + p**2. Let q(b) = -d(b) + o(b). Let k(j) = -3*j**2. What is q(k(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h - 2. Let a be o(-2). Suppose -2*j - 4 + a = 0. Suppose -t + 33 = 5*l - 0*t, -29 = -5*l - j*t. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 748*o - 349690.\nAnswer: -2*(o + 935)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/137 and 37\/5343?\nAnswer: 5343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.3 - 5.356. Let s = 18.4041 + -0.4601. Let p = y - s. What is the fourth biggest value in p, 1\/4, 0.3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 317107273\/600 + -528512. What is the common denominator of a and -145\/24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 - 33*l**3 + 55*l**2 + 21*l - 72 = 0. Calculate l.\nAnswer: -1, 8\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 3*y - 1 = -17*l, 0 = -2*l + y + 3. Find the first derivative of 4*n - 26*n**2 + l*n + 8*n + 25*n**2 + 38 wrt n.\nAnswer: -2*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, o: 2, w: 1}. What is prob of sequence ok?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137912 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -786524\/3 in 3\/7, 4, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(-1\/5)*o)\/o)\/(o**(-10)\/o)*(o**(-4))**(-39) assuming o is positive.\nAnswer: o**(849\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + -4 + 3 - (-13 - -11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2\/3, -0.4, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 60 - 5*x - 11)*(-2 + 7 - 4 + x).\nAnswer: -5*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, k: 3}. Give prob of picking 1 m and 1 k.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 300*r + 1248. Let b be s(-4). Calculate the highest common factor of 564 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:52 AM?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -5*s**6\/24 + 7*s**5\/4 - 95*s**4\/16 + 125*s**3\/12 - 10*s**2 + 5*s + 11. Let y(m) = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3 in decreasing order.\nAnswer: 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-645))\/(3\/(-145)) + -4.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 + -1.7. Which is the second smallest value? (a) 4\/9 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q**2 - 10*q - 3 + 1\/3*q**3. What is the first derivative of j(g) wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 11 = -5*m, 3*h - 7 = 2*m - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 9*n - 46 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 71*b**2\/6 - 697*b\/2 - 495.\nAnswer: (b - 55)*(b + 18)*(2*b + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16707434 (base 8) in base 2?\nAnswer: 1110111000111100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*h**3 - 51*h**3 + 262*h**3 - 124*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6 = 4. Find the second derivative of 3*l - 1 + 0*l**2 + 1 + l**o wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(84) - (sqrt(84)*3 + sqrt(84))))\/(sqrt(12)*-3*5))**2 + ((1 + -2*sqrt(7))*-4 - (sqrt(1008) + 1 + sqrt(1008) - sqrt(63)\/(sqrt(9)*-2))).\nAnswer: -33*sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 2449?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:14 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*g + 15, -2*g + 2*j = 6*j - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 144 = -19*i. Let v(q) = q**3 - 5*q**2 - 6*q. Let c be v(6). Solve -i*x + 2 + 6 = c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4\/4 - 209*u**3\/2 - 4089*u**2\/4 - 5841*u\/2 - 2322 = 0. Calculate u.\nAnswer: -129, -6, -3, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 666 and 33138.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 5*w**2 + w**2. Let a = -124 - -130. Let p(g) = 8 - a - 6*g**2 - 17*g**2 - 2. What is -17*j(l) - 6*p(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6*y = 20 + 32, 5*y = 10. What is the greatest common factor of 75 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2. Let l(z) be the third derivative of -z**4\/6 + 16*z**2. Give x(l(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus -28833084?\nAnswer: 28833083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/1)\/((-24)\/(24 + -16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = -5*w, -7*w = -3*w + 2*x - 26. Suppose -f - 168 = -w*f. Suppose -f = 4*l - 588. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h + 6*h + 28*h**2 + 7*h)*(-2*h**3 + 23*h**3 + 24*h**3).\nAnswer: 1260*h**5 - 45*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-4)\/(-3))\/((-17)\/(-1173))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*n**4 - 1764\/5*n + 0 + 448\/5*n**2 - 37\/5*n**3.\nAnswer: n*(n - 14)**2*(n - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -298, -1234, -2730, -4708, -7090, -9798, -12754?\n\"Answer: 13*q**3 - 358*q**2 + 47*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 1) + 8 + -4*12\/8. Suppose 0 = 3*u - 5*v + 7, -2*v = -2*u - v. Put u, -3, r in ascending order.\nAnswer: r, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1*l)**(-13)*(l**(-2\/23)\/l)\/(l\/(l*(l*l**(-3\/7))\/l)))\/((l\/(l*l**(-2\/3)))**(-2\/159)*l**3\/(l*l\/l**2*l)) assuming l is positive.\nAnswer: l**(-1267699\/76797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 437*n*s + 6*n*w**2 + 15*s*w**4 - 2*s*w**2 wrt w?\nAnswer: 12*n*w + 60*s*w**3 - 4*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*w + 4, -35*c + w - 8 = -33*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = -5*g, -q - 8*g + 4*g + 4 = 0. Suppose 0 = q*p + 13 - 49. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*o - 2, 3*l + 4*o = 2*o + 2. Suppose f - 2*t + 6 = -1, l*t = -5*f + 25. Let w = 6 + f. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 310*r - 306*r - 21944, -m = r - 5485. List the prime factors of r.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 115, 118, 109, 82, 31, -50?\n\"Answer: -m**3 + 10*m + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldx when three letters picked without replacement from {x: 3, n: 1, d: 4, l: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.9 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9344241, 9344243, 9344245, 9344247?\nAnswer: 9344249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 22 = 5*k + 67638*p - 67640*p, 2*p = 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.57 to zero dps.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:04 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1164 - -1323. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 170. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*(-54)\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:17 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = 3*r, -5*r + 3*s = 2*s + 14. Put r, 12, -1, 3, -91 in ascending order.\nAnswer: -91, r, -1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 1 - 1 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(3 + 38\/(-14)). Let l(m) = m + m**3 - 2*m + 163*m**2 - 151*m**2 - 5. Is l(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by -111\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23, 57, 99, 149?\n\"Answer: 4*a**2 + 22*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -1\/3 (c) 1\/3 (d) 2.228 (e) -0.62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425587 is divided by 1166.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130588 (base 11) to base 15.\nAnswer: -40e1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 2*d + 5*d**4 + 26 - 9 to m*d**3 + u*d**4 + n*d**2 + s + x*d and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 318381*t - 4 + 319090*t to the form j*t + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/188133309 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -231*u**4\/2 + 69*u**3 + 541. Find the third derivative of h(m) wrt m.\nAnswer: -2772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68791124873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*t = 153*t + 415*t + 3378 - 14444 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 - 0.14. Let y = 0.7 - 0.2. Let c = -0.06 - -0.16. What is the nearest to c in -2, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321987.\nAnswer: 3, 29, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -201195855*j**2 - 201195845*j + 10.\nAnswer: -5*(j + 1)*(40239171*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/652 or -1?\nAnswer: 7\/652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -10, 2, -1, -4 in descending order.\nAnswer: 11, 3, 2, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (0\/3)\/1. Let f(y) = y**3 + 5 - 2*y + 6*y**o - 3*y - 2*y**3. Let g be f(5). Solve -2*z + 4*l = 12, -g*z + 2 - 17 = -5*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2131306, -2131299, -2131288, -2131273, -2131254?\nAnswer: -2131231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 6*z**2 - 186259*z + 3 + 2 + 186261*z - z**2. Let q(w) = 2*w**3 + 6*w**2 + 3*w + 6. Determine -4*q(s) + 5*x(s).\nAnswer: 2*s**3 + s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2987 - 129?\nAnswer: -3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 3717\/1040?\nAnswer: 3717\/1040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*m = -m - 14, -x + m = -5. Let n(b) be the second derivative of -b**5\/20 + b**4\/12 - 3*b. Determine n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88521063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8124041 - 7?\nAnswer: -8124048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1849643*d - 167127 wrt d.\nAnswer: 1849643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + -3*(2 + (((-3 + sqrt(2448))**2 + sqrt(2448))*-5 - sqrt(2448))) + 2.\nAnswer: -864*sqrt(17) + 36851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*m = 567, 3*f - 4*m = 386 + 187. Suppose 4*t - 2*t - k = 185, 0 = -2*t - k + f. List the prime factors of t.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 = 4*d - 0*d, -22 = 4*d - 2*j. Let t be (-1)\/d + 124\/(-3). Let q = -40 - t. Let s(r) = -r**2 + r - 1. Determine s(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, -29, 1\/4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by (-6363)\/(-147) - ((-12)\/7 - -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3 + 2)*-6 + -4 + (((sqrt(102) - 1*sqrt(102))\/sqrt(6))**2 + (1 + sqrt(272) + sqrt(17))**2)*-2.\nAnswer: -868 + 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 5*z**2 + z**2 + 3 + 0*z**2 - 10*z**2. Let g be c(4). Let h be 7*-1 - (52 + -61). Solve -h*j - g*j = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = x + 5, b + 8 = -0*x + 4*x. Let v = 19 + -13. Suppose 0 = 2*n - v*n. Solve 4*p - x*p = n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14338208 is divided by 14601.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69770.24 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - -0.707. Let j = h - 0.307. What is the closest to -5 in j, 2, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2997121\/14113 + 2336\/11. Is 0 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.3 (c) -356 (d) -6 (e) 4 (f) -2\/5 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 4*x + 1756*d - 1750*d, -5*x = 3*d + 111 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 43*r - 384. Let t be l(31). Calculate the highest common divisor of t and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3392076.\nAnswer: 2, 3, 67, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -193120\/233 < -829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/16*((-4)\/(-2))\/((-37107)\/651).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**7\/105 + a**6\/15 + a**5\/10 - a**4\/3 - 4*a**3\/3 - 16*a**2. Find f, given that j(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -165 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79.96 + 81. Let p = i + -1.22. Is p less than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1118, 1904, 3190, 4970, 7238, 9988, 13214?\n\"Answer: -s**3 + 256*s**2 + 25*s + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1519 and 2401?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -80.6*-0.005\nAnswer: 0.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -313480, -626999, -940504, -1253989, -1567448, -1880875, -2194264?\n\"Answer: c**3 + c**2 - 313529*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.4, -4\/3.\nAnswer: -21, -4\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -24. Let s be (-1)\/3 + 408\/9. What is the highest common divisor of l and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 244, 0, -4, 1, -3 in increasing order.\nAnswer: -4, -3, 0, 1, 17, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64b7 + 118?\nAnswer: 65cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and -3.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**5 - 9*b**5 + 5*b - 3*b wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406917555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/640*4 - ((-295)\/25 + -2)\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-15))\/(7350\/61250).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313657737.\nAnswer: 3, 104552579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1338377.\nAnswer: 1338377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211000221 + -203?\nAnswer: 1211000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 64.953. What is o rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + -13 - (-14)\/2. Let g be (6\/(-2))\/(k\/(-6)). Let j(i) = 2*i**2 + 3*i + 3. Let l(w) = -3*w**2 - 6*w - 5. Let q(t) = -5*j(t) - 3*l(t). Determine q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 44\/7 - 46\/7*j - 2\/7*j**4 - 6*j**2 + 46\/7*j**3 = 0.\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 52*w**3 + 100*w**2 - 372*w + 216.\nAnswer: 4*(w - 1)**2*(w + 6)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483, -947, -1395, -1833, -2267?\nAnswer: -2703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/30 + (-233)\/(-3). Suppose 168 = 2*g - 3*c, g + 5*c = 3*c + u. Let v = g - 18. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3644*q - 3792. Calculate x(1).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141\/14 + 1241\/126. What is the third biggest value in 2\/9, b, 1, -9\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10622 is divided by 125.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -20*n**3 - 3*n**2 + 8*n + 33. Let i(g) = -7*g**3 - g**2 + 3*g + 12. Give 3*c(x) - 8*i(x).\nAnswer: -4*x**3 - x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5100875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14836575 by 5.\nAnswer: -2967315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3087, 3106, 3153, 3240, 3379?\n\"Answer: 2*m**3 + 2*m**2 - m + 3084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9*a = -0*a - 16*a. Let g(h) be the first derivative of 5*h**3 + 5*h**2 + a*h + 4 + 5\/4*h**4. Determine k, given that g(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82652 (base 13) to base 4.\nAnswer: -321013223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8078\/11 or -4\/23?\nAnswer: -8078\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003692212495 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 80 = 13*i. Let f be (1 + 2)\/(4\/i*3). Solve f*p + 16 = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*d**2 + 53*d - 53*d to the form c*d + y*d**2 + r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 15*q + 245. Solve 0 = 5*u + 10, 5*u - 3*u = -q*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-23)\/26)*44\/33?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -99 + 83 + -11?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43561 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18970 and 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281722.\nAnswer: 2, 7, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 9:24 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h*h**(-3\/10)\/h)\/(h**(-1\/3)\/h**(-4)) assuming h is positive.\nAnswer: h**(151\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 175912307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**3 + 5. Let j(t) be the second derivative of t**5\/5 - 2*t**2 + 984*t. Give 3*j(q) + 2*v(q).\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (0 - 7)) + -26 + 17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 451802512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16027 - 15967. Sort -4, 4, 0, k, 5.\nAnswer: -4, 0, 4, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1256*b - 77*b**2 + 1256*b + 2*b**2 + b**2 - 5*b**2 + b**2 + 2*b**2 - 4*b**2 + (b + 0*b + b)*(-2*b + 0*b + 3*b) in the form s*b + a + h*b**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:19 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y + 13*y + 12*y - 13*y + 2.\nAnswer: 45*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -28*p + 7. Let x(d) = 12*d**2. Determine x(s(o)).\nAnswer: 9408*o**2 - 4704*o + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59696099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/38 - 276159\/24966 - (-5 - 7\/(-14)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (217\/93)\/(175\/(-1875))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 6*a**3 - 7*a**3 + 7 - a**2 + a**2 + a**3 + (-5*a + 6*a + a)*(6*a**2 - 2*a**2 - 3*a**2).\nAnswer: -10*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -551, -995, -1437, -1877, -2315?\nAnswer: -2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29377\/20 + (-1)\/(-4). Let l = h - 1467. What is the common denominator of l and 81\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321.4*0.04138.\nAnswer: 13.299532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-70)*(-48)\/(-120)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + -11 + 6 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = y, -5*b = -12*y + 8*y - 33. Solve 4*c + 5*q - b = 0, -24 + 15 = 3*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 189.871 and 1567367.\nAnswer: 1567556.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2579*h*s + 370*h + 5*s + 251941 wrt h?\nAnswer: -2579*s + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56240736 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11800 - -235937\/20. Let x = -11\/4 - a. Let m be 128\/22 - 168\/(-924). Put -0.3, x, m, -4 in ascending order.\nAnswer: -4, -0.3, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -542234?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39149 is divided by 450?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v**20*v))**(-2\/7) assuming v is positive.\nAnswer: v**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/12 and 93\/14624.\nAnswer: 43872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 46580*s**2 - 325865*s + 465450.\nAnswer: -5*(s - 9309)*(s - 5)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3795 - -4.3795. What is the closest to -8 in -1, w, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/60 - 29*k**5\/60 + 7*k**4\/12 - 5*k**3\/2 - 6*k**2. Let m be f(-15). Solve -p - 3*p = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231341 (base 5) to base 16.\nAnswer: 209a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -51, -32, 7, 72, 169, 304?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59735 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:10 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1825*f**2 - 3*f**3 + 1825*f**2)*(644 - 11*f - 644 + f - 3*f - f + (-2*f + 5*f - 2*f)*(3 + 0 - 1)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v - v - 5*v)*(4*v + v - 3*v + 3*v**2) in the form l*v**2 + h*v**3 + n + r*v and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4129804.\nAnswer: 2, 7, 79, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 36. Let t = -38 - g. Put t, 0.2, -1 in decreasing order.\nAnswer: 0.2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 28. Suppose 0 = -53*y + 51*y - f. Which is the nearest to -0.1? (a) y (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:32 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1011100110?\nAnswer: 1011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/67200 and -61\/49800?\nAnswer: 5577600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 335*a**5 - 2*a**3 - 54*a**2 + 7?\nAnswer: 20100*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-6)*3\/(-2). Let f = 17 - x. Calculate the remainder when ((-10)\/3)\/((-4)\/30) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h - 2. Let w be p(-3). Suppose 4*f - 3*f = 33. What is the greatest common factor of f and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/12 and 131\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -874b65 (base 12) in base 15?\nAnswer: -2c558b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 28 - 103 = 0. Suppose 0 = 4*s - 29 - q. Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)*s*s**(-6)*s)\/(s\/s**(-1\/3)*s*s\/(s\/(s*s*s*s*s**(11\/2)\/s*s*s))) assuming s is positive.\nAnswer: s**(-1729\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 76*u**2 + 1044*u = 0. Calculate u.\nAnswer: 0, 18, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504700 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209956 and 22?\nAnswer: 2309516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (-1*sqrt(68))\/sqrt(2))\/(sqrt(18)\/(sqrt(36)\/sqrt(4)) + sqrt(2)) + sqrt(68) + 3 + sqrt(272) + 1)**2.\nAnswer: 56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1136)\/(-52) + 2\/13. Let c be 7 - 4 - (-1)\/(-1) - -9. What is the greatest common divisor of c and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -130?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 - 3.07. Let w be 40\/(-24) + (-15)\/(450\/(-35)). What is the nearest to -1\/4 in w, z, 34?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 12 + 11. Let s(j) = h + 0 - j + 1. What is s(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = r + 4*i, 3*r = 2*i + i - 153. Let u = -43 - r. Find f, given that 2*f + 65*f**3 + 5*f**5 - 60*f**2 - 20*f**4 - 7*f**4 + 18*f - u*f**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2708132588?\nAnswer: 2, 7, 13817003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9 and -3*(1 - (-1899)\/(-1917)).\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by -10481.\nAnswer: -252\/10481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.815809ns to seconds.\nAnswer: 0.000000003815809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Solve 4 = -h*t - 0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11242*x**3 - 9233*x**3 - 33645*x**3 - 35889*x**3.\nAnswer: -90009*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15874687?\nAnswer: 29, 499, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -5 (c) -3 (d) -44 (e) -0.761\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/12)\/(10\/40*-8).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(17) + 1 + 0) - ((-1 + sqrt(1377))**2 - sqrt(1377))) + 4.\nAnswer: -1375 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330483?\nAnswer: 3, 110161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 5. Let h(l) = l + 4. Let k = -3 + 5. Suppose 20 = -k*p - 2*p + 4*d, -4*p - 19 = -5*d. Let j = -2 - p. Determine j*m(t) + 5*h(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10926415373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-24 - (-63 - -55)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20033425 (base 6) to base 4\nAnswer: -2021311121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.2 - -20.33. Let i = 0.18 - -0.17. Let j = i + w. What is j rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67369 divided by -4?\nAnswer: -67369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0)**(-7)\/((w**(-6)\/w)\/w**(2\/3)) assuming w is positive.\nAnswer: w**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4\/7 + 87964*u**3\/7 - 16590668*u**2\/7 - 33797004*u\/7 + 7185672 = 0 for u.\nAnswer: -22178, -3, 1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 209. Let w = a + 123. Let c = -14 - w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7625745 divided by 14865.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103972 + 40104. Let c be (y\/8)\/7*-2. Suppose -c - 6514 = -5*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c - 4 - 14*c - c**4 + 3 + 5*c**3 in the form v + n*c**3 + i*c + f*c**2 + b*c**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 21394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 11\/6*t**3 - 47*t**2 + 0 - 57*t. What is the first derivative of l(f) wrt f?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232013 - -5?\nAnswer: 232021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r\/r**(-12)))*r)**14*(r\/(r\/(r\/(r\/(r**(-7\/5)*r))*r)))**(5\/4))**(-11) assuming r is positive.\nAnswer: r**(-8041\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -26.4, 517, -0.1, 0.5, 30 in decreasing order.\nAnswer: 517, 30, 0.5, -0.1, -26.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 21 = -d, -d = -p - 0*p - 3. Let v be (28\/(-6))\/(p\/6). Suppose -8*k + v*k + 3 = 0. Solve l + 12 = -k*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -250, 1, -3 in decreasing order.\nAnswer: 1, -3, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2169910 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.0526ms in nanoseconds?\nAnswer: 921052600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-156)\/(-459) - ((-75)\/27 - -3). Which is the second biggest value? (a) w (b) 4 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8978.69758 to the nearest integer.\nAnswer: -8979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12372?\nAnswer: 2, 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 2356*l**2 + 2345*l**2 + l.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 4*i**5 - i**5 + (4 - 5 - 1)*(-3*i**5 + 4*i**5 - 3*i**5) - 2*i**5 + 3*i**5 - 2*i**5 + i**5 - 6*i + i + 2*i.\nAnswer: 6*i**5 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, l: 4, c: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/60500 and -187\/6540?\nAnswer: 19783500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 52*s + 21. Let n = -8 + 13. Let f be p(n). Suppose 3*o + 6 = z - 59, 5*o = 4*z - f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*z**5 + 2459312*z**3 - 37*z**2 + 1413411 wrt z.\nAnswer: 780*z**2 + 14755872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3443 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 3. Let t(w) = w - 5*w - 3*w. Let x be t(-1). Let k be 2\/(x + -1)*6. What is z(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1176 and 40.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 10*g**2 - 5*g - 13. Calculate y(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -625*h**2 + 8116*h - 20. Give t(13).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 857802 and 4.\nAnswer: 1715604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2444152 and 207373.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7443 + -7431. Solve 65*n = 59*n + p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-86)\/8*(0 - 4). Is n*1\/((-1)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooq when three letters picked without replacement from ooqoooqpooqopooy?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:54 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 526*g - 798. What is the units digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9049*m + 4558*m + 4642*m to v + c*m and give c.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249048, 249050, 249052?\nAnswer: 249054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337104473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25951734 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-3))\/l**(-6))\/(l**1)**(9\/8))\/((l*l\/l**0*l)**(-33)\/((l**(-1)\/l)\/l**(1\/4))) assuming l is positive.\nAnswer: l**(845\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let q(p) be the second derivative of 17*p**3\/3 + 19*p. What is z(q(j))?\nAnswer: -2312*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -4*h, -18 = -5*h + 4*g - 4. Let l(z) = 0 + 2*z + 0 + 4*z + z**2 + h. Let f = -3 + -3. Give l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) - (-2*sqrt(156) - sqrt(156)) - sqrt(156))*1)\/(sqrt(72)\/(sqrt(30)\/sqrt(5)) + (sqrt(96)\/(sqrt(8)*-1) - sqrt(12))).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(-2*f**2 + 2*f**2 + f**2) - f**2 + 0 + 0 + 2*f**2 + f - f + (-11*f + f + 2*f)*(-f + 0 + 0) + f**2 - 2*f**2 + 3*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299303 is divided by 975.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*s - 962 + 1111 - 3029 = 1320 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -5. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 1. Let f be b(-1). Let x(o) = o**2 + 5*o + 8. Let t be x(f). Let q = 31 - t. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 7 = -5*q - 3, 7 = -5*q + 4*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*o = 77, -2*w + 0*o = 3*o - 128. Let j = 131\/2 - w. Let q = -0.1 - 0.3. What is the nearest to -1 in j, -7, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/((3\/10)\/((-78)\/(-429))) and 2\/(-9)*(-564)\/64?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:24 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -48*b**2 - 2*b - 34. Let h(j) = -66 - 65*j + 66 + 63*j. Calculate p(h(t)).\nAnswer: -192*t**2 + 4*t - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:21 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-6)\/(-15)))\/(3640\/(-104))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(sqrt(704) + 1 + sqrt(44)) - (-1 + (sqrt(539) + ((sqrt(539) + 1 - sqrt(539)) + 1 - sqrt(539)) - sqrt(539)))) + 2)**2.\nAnswer: 198*sqrt(11) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001\/42 - 6 - (-1)\/6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -314678, -629353, -944028, -1258703, -1573378, -1888053?\n\"Answer: -314675*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28615598 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + 2 + (100 - (67 - -26)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/6*30\/4. What is the greatest common divisor of z and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 9, m: 2, n: 3, l: 2}. What is prob of sequence nk?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, -69673.\nAnswer: -69673, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6335252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 570673 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9807 and 0.2.\nAnswer: 9807.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 8:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - -1. Let s = 0.154 - -1.846. What is the closest to s in i, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**5\/5 + 18*y**4 - 538*y**3\/3 + 166. Find the third derivative of i(f) wrt f.\nAnswer: -24*f + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 7\/(21\/(-30)). Suppose 3*u - 2 = v. Let n(j) = 6*j**2 + j - 3. Is n(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 322, 482?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -22*h + 33. Let u be b(-6). List the prime factors of u\/5*(-524)\/(-12).\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 169?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + v + 3. Let j(o) = 3*o**2 - 4. Let b(z) = 3*j(z) + 4*n(z). Let t be b(7). Calculate the greatest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22896 + -29909537\nAnswer: -29886641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*z = 1 - 20, 8 = -2*z. Suppose -3*w + 319 = 5*h - 0*h, -414 = -4*w - h. Calculate the remainder when w is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201509437 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 0. Suppose -2*n + 38 = -j*n. Calculate the remainder when n is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4\/5 + 6*i**3\/5 - 3*i**2\/5 - 6*i\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.8 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (927 + 965 - 4*r**2 - 1884 - 34*r**3)*(-3 + 1 + 0)*(-2*r - 3*r + 6*r) as h*r**3 + d + t*r**4 + q*r**2 + l*r and give t.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10090\/9 + -1122. Do g and -0.64 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p - 6000. Let m be (p\/35)\/(3\/(-21)). Is (-3)\/(-6)*(-2 - m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*a = 4*z - 5*z, -3*z = -0*z + 2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965923 rounded to the nearest ten thousand?\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-68)\/30 + -9*(-4)\/60. Which is greater: -1\/3 or o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**5 - 3906*h**4 - 2858356*h**3 - 928438520*h**2 - 112652665296*h + 113583966080 = 0.\nAnswer: -520, -478, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2. Let t(m) = -31*m**2 - 2 + 0 + 23*m**2 + 5. Let p(d) = 8*d**2 - 4. Let q(b) = 6*p(b) + 8*t(b). Calculate q(s(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -143*m + 14. Is s(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q + 2*q**2 + (4 - 4 - 1)*(-4*q**2 + 4*q**2 + q**2) + (16 - 74 + 2*q + 25)*(-q + 3*q + 0*q + (5*q - 2*q - 5*q)*(-2 - 1 + 2)).\nAnswer: 9*q**2 - 132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**5\/3 - 425*b**4\/3 + 6250*b**3\/3 + 1700*b**2\/3 - 8360*b = 0.\nAnswer: -2, 0, 2, 19, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/54)\/((-2)\/(-3)). Let u(b) be the first derivative of 0*b**2 - 1\/24*b**6 + 1\/16*b**4 + j*b**3 + 0*b + 3 - 1\/20*b**5. Find r such that u(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698 a factor of 11322264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*y - y. Let x = -8 - y. Sort x, -3, 5 in decreasing order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7586921838 divided by -6.\nAnswer: -1264486973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900) + sqrt(1900) + 1) - sqrt(19)) + sqrt(76)\/(sqrt(36) - sqrt(4)))**2 + sqrt(95)\/sqrt(5) + -1 + sqrt(95)\/sqrt(5)*-4.\nAnswer: 18*sqrt(19) + 8379\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108559*i**2 - 108706*i**2 + i**3 + i + i**3.\nAnswer: 2*i**3 - 147*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -393 - -395. Let p(x) be the first derivative of 0*x + 3\/2*x**v + 0*x**3 - x**6 + 7 + 0*x**4 + 0*x**5. Find the second derivative of p(j) wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107473183094 less than 12?\nAnswer: -107473183082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1125226678 to the nearest integer?\nAnswer: 33544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 995365.1 seconds?\nAnswer: 995365100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a30cd + 0?\nAnswer: -2a30cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let s(u) = 5*u**2 - 5*u**2 + u**2 + 10. What is the units digit of s(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d - 26. Calculate the remainder when 155 is divided by g(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*3*(-1067)\/(-1067)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 975472 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5 = 2*q, -176*q + 3 = -173*q + 3*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a milligram in micrograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1592 (base 12) to base 16.\nAnswer: -9fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Let b = -908 - -908. Put 4, -3, b, v in descending order.\nAnswer: v, 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183572 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28935702 and 9645234?\nAnswer: 28935702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 35 + 13)*(5*u - 6*u + 0*u) - 4 + 4 + 9*u + (-2*u - u + 5*u)*(4 + 2 - 4).\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 14*p**2 + 24*p - 3. Let l be t(12). Let q = l - -23. Calculate the smallest common multiple of q and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -1)*2 - (-5 + sqrt(405)*-1 + sqrt(405)))**2 + -2 - ((sqrt(320) - sqrt(40)\/(sqrt(8)*2)) + sqrt(360)\/(sqrt(24)\/sqrt(3))).\nAnswer: 195*sqrt(5)\/2 + 1627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -5. Does 15 divide x*(-4 + 3 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 135 + 96 + 681*o.\nAnswer: 681*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.76 (b) 50 (c) 0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 0*i**2 + 0*i**2 + (-5*i**2 + 4*i**2 - 4*i**2)*(2*i - 2*i - 2*i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -508*l**3 + 152*l**2 - 278461*l + 278461*l wrt l?\nAnswer: -3048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + 3 - (1061 - 999) - (1 - 87).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 8. Suppose -25 = 5*l, f*r = 4*r - l - 11. Let n = 6.2 - 3.2. What is the third smallest value in n, r, -0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 17. Give z(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5535 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ede (base 16) in base 12?\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -11.8.\nAnswer: 47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 2 + 14. Find the second derivative of 11*x - 18*x**2 - 12*x**3 + 18*x**u wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cyccycccccyycc?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (25\/5)\/(7\/((-189)\/132) - -5) and 864?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149 - -99. Let y = s + 39. Let p(o) = 3*o**2 + 15*o + 3. List the prime factors of p(y).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.1 (b) -26 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l + 116 - 359 - l + 545*l**3 + l - 148 wrt l?\nAnswer: 3270*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/9))\/v**(-1\/3))**35 assuming v is positive.\nAnswer: v**(490\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.04 - 25.04. Let h = -3.1 - -3. Which is the nearest to 0? (a) 2\/13 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(54\/52))\/((-2)\/3). Solve -s = -2*h - 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 67. Let y = 52 + a. Let d be (-4*1\/(-5))\/((-5)\/(-25)). Solve -d*w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**3 - c**2. Let g(r) = -r**2. Calculate 3*g(p) - s(p).\nAnswer: -9*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57, -121, -205, -309, -433, -577, -741?\n\"Answer: -10*o**2 - 34*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 + 6 = 0. Suppose -g + x = -2*b, b + 0*b = 0. Let c be (-1)\/((-15)\/(-24))*-5. Solve -4*a - 8 = 3*u, -5*a - c = g*u - a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, v: 3, b: 4}. Give prob of sequence vqb.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from oodddogodogoggo?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 2, v: 4}. What is prob of sequence vsts?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(10\/7)\/(g**(-11)\/g*g))\/(((g**(3\/10)*g*g)\/g)\/(g\/(g\/(g*g**23))*g)))**(-2\/59) assuming g is positive.\nAnswer: g**(-2529\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -1\/105*q**7 + 3*q**2 + 0*q + 1\/10*q**6 + q**4 - 4\/3*q**3 + 0 - 13\/30*q**5. Factor z(v).\nAnswer: -2*(v - 2)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/29 (b) -11 (c) 4\/5 (d) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 10*g. Let w = 1740 - 1737. Sort -3, 89, w, g in decreasing order.\nAnswer: 89, w, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250351\/20 + -82279\/5. Is k >= -3938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 266, 987, 2446, 4901, 8610, 13831?\nAnswer: 20822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 545 + -306. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 + 4*h. Let c(p) = -7*p**2 + 5*p. Let y(a) = 5*b(a) - 4*c(a). Let u(l) = -l. What is y(u(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000054565841 rounded to 7 decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -4\/3 (c) -0.07 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 909.039734 - 0.4.\nAnswer: 908.639734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2556, 2493, 2432, 2373, 2316, 2261, 2208?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**2 + 5*f - 12. Let t be p(0). Let k = 11 + -16. What is the nearest to -0.2 in k, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + 2\/(-56). Let i = 1.6 + -1.9. What is the closest to 1 in i, t, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227510 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -28 + 4 + 1 + -2 + -7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*u - 104*u - 42. What is the remainder when 781 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 2714.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(3\/288). What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 22. Suppose -4*b = -16 + q. Let x(j) = -j**2 - 2*j + 15. Let g be x(b). Solve g*a + a = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**0\/d))\/(d\/((d*d*d**(-3))\/d))*((d**(-1)\/d)\/d)**(-1\/7)*(((d**(4\/3)\/d*d*d)\/d)\/(d**(1\/14)\/d))**2 assuming d is positive.\nAnswer: d**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(4752)*4*4)\/(4*(2*sqrt(275) + sqrt(275))).\nAnswer: -16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.094, 17, -28, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 311*z**2 + 474*z + 646. What is b(-157)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(-2 + (574 - 7)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7547 (base 13) to base 14\nAnswer: -5d11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 - (4 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.37136 litres to millilitres.\nAnswer: 3371.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 + 4. Let o be p(3). Let l be (2 - o)*2\/(-4). What is the nearest to l in 1, 0.4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -1001949.1.\nAnswer: -1001948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*o + 4. Suppose 4*a = -3*r + 10, o*r + 2*a - 9 = a. Suppose 2*j = 6*j + 5*u - 39, -r*u + 22 = 2*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 35 = -5*l + 20, -g = l + 7. Let z = g + 5. Does 12 divide (-2)\/z + (-170)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*f - 4 + 4)*(-1 - 1 + 3) + f - 2*f + 0 - 5)*(2*f + 0*f + f) to the form b + s*f + h*f**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -127, -365, -817, -1555, -2651, -4177, -6205?\nAnswer: -8807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 10:46 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - -9. Suppose 27*q + 20 = s*q. Let n(z) = -4*z + 7*z - q*z. Let b(i) = 15*i. Calculate n(b(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1272 from 33.9.\nAnswer: 1305.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128355 + 208135. Suppose 20234 = l - z - 19671, c = 2*l + 4*z. What is l rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g. Calculate the remainder when v(-4) is divided by (-46)\/(-14) + 4\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/10 + 5*k**4\/4 - 42*k**2. What is the second derivative of q(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1. Let s(y) = -10*y - 166. Let r(g) = -10*c(g) + s(g). Differentiate r(m) wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -14. Let s = t + -8. Is 3 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -112. Let x be 112\/42 - 1*k. Which is the closest to -0.1? (a) 0.1 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + -336.53. Round h to zero dps.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3750007 divided by 3750007?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -0.025596\nAnswer: -0.00179172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 10*c**2 - 8*c + 40. Determine f(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.76 take away -0.2059589?\nAnswer: 184.9659589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14361648421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 8*v - 25. Let f be v + 1*(-1 - 2)\/(-3). Solve 2*y = -f*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let y(z) = -29560*z**2 - z + 6. Give y(k(i)).\nAnswer: -29560*i**4 - i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(-9)\/(-12))\/(7\/(-1736)). Find the common denominator of (3 - g\/16)\/((-474)\/8) and -3\/14.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219403 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + p - 3*a - 9, 4*a = -5*p + 33 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7121394 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6133348 and 860?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j**4 - j**3 + 22*j - 5725 wrt j?\nAnswer: 24*j**3 - 3*j**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 - 2*h - 6. Let u be p(-4). Suppose 0 = f + 3*t - 4, 0 = -4*f - 0*t + u*t + 16. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*p + 44, 5*j - 35 = -3*p + 2*p. Calculate the greatest common factor of 24 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 8:51 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1753155, -1753119, -1753079, -1753035, -1752987, -1752935?\n\"Answer: 2*n**2 + 30*n - 1753187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 2*6 + 3. Suppose 2*r - 111 = g. Suppose 71 = -8*f + 39. Put 2, r, f in decreasing order.\nAnswer: r, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80000587, 160001175, 240001763, 320002351, 400002939?\nAnswer: 480003527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1230.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -4) + (-25 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42\/21*(-9)\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**8\/26880 - n**7\/3360 + 5*n**4\/12 - 6*n. Let z(g) be the third derivative of j(g). Suppose z(r) = 0. What is r?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1007 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 141\/92605?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g + 9. Suppose 0 = 2*y + y. Suppose y*m - m = -g. Solve -1 = 2*a + m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 90612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*z + 140 = -z + 20, 126*i = 128*i - 26*z + 850 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2116 - -2114. Which is the second biggest value? (a) f (b) 2\/17 (c) -0.5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693675376 a multiple of 4396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-519 - -494 - (-2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -213 + 214. Let b(g) = 6*g - 5*g - 2*g + 7*g - 3*g + 1. Let q(r) = r. Calculate p*b(m) + 2*q(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*z = -13, z - 3 + 12 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9838 divided by -7?\nAnswer: -9838\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 0.4. Let m = s + -6. Let h = m - -5. Is h smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76, -323, -734, -1309, -2048, -2951, -4018?\n\"Answer: -82*q**2 - q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.62032 and -0.1.\nAnswer: 0.062032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 22*d**2 - d - d.\nAnswer: -22*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 5*f - 259245 = 35*j, -4*j + 3*f = -207397. What are the prime factors of j?\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 m when four letters picked without replacement from mmymymmmmmyymy.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*b + 43349 - 43349 - 180*b + 88*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -456 at most as big as 312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 3 - m - 4)*(-14*m**3 + 12*m**3 - 15*m**3) as k + o*m**2 + l*m + h*m**4 + z*m**3 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5069493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -8*k**2 - 12*k - 4\/3*k**3 - 4. Determine h so that m(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v. Let r(j) = -20129984*j**2. Give r(k(q)).\nAnswer: -80519936*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.033541, -1.\nAnswer: -1, -3\/7, -0.033541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/617, -0.3, 2, -0.4?\nAnswer: 5\/617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(288))\/(sqrt(45)\/sqrt(5)*-5 + sqrt(9)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 - v - 3. Let k be m(-6). Factor -z**k + 3*z + z - 6*z**2 + 2 - 2*z**2 + 6*z**4 - 3*z**3.\nAnswer: 2*(z - 1)**2*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 - 127 - (-1 - -58) - -24\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60909 (base 12) to base 4\nAnswer: 132230121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 45 = 3. Let d be (-7)\/(42\/c)*42\/4. Let q be 56*((-12)\/(-4) - 1). What is the greatest common divisor of q and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 191110340, 382220681, 573331022?\n\"Answer: 191110341*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 58 (b) -2\/9 (c) 4929 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78915, -78872, -78829, -78786?\nAnswer: -78743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.05, 1, 0.2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320923\/65 + -4937. Let v = 1\/13 - a. Let c be ((-2)\/8)\/((-3)\/6). What is the second biggest value in v, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 - 3 + 0*l + 2*l - 2. Let u be x(-4). List the prime factors of u\/6*(-4)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 4*c**3\/3 - c**2\/2 + 40*c + 18. What is the first derivative of j(p) wrt p?\nAnswer: 8*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7322?\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 209431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 1.1?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2 - 422*o + 13384 = 0.\nAnswer: -239, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2. Let v(q) = 1142*q**2 + q. Calculate v(j(n)).\nAnswer: 18272*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27871 is divided by 165.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/12*-14*(-3 - -5)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -4*u + 3*q, -4*u - 411 = -9*u + 3*q. Suppose -8*w - u = -11*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: Two letters picked without replacement from {c: 4, s: 1, h: 8}. What is prob of sequence sh?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*y = -57, 2*y + 7 = v - 15. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -11. Let y = 25 + a. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265398 and 672?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*q**4\/3 - 782*q**3\/3 - 27*q**2 + 782*q\/3 + 32\/3 = 0. What is q?\nAnswer: -1, -2\/49, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9*-8968\nAnswer: -80712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 20. Suppose -i*z + 4*d + 16 = 0, -2*z - 2*d + 6*d + 4 = 0. Suppose -q - 10 = -3*v, 3*v - z = -2*v - q. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15)**(-4\/3) assuming u is positive.\nAnswer: u**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*b**2*k**3 - 2*b**2*k**2 - 15*b**2*k - 3*b*k**4 + 2*b*k**3 - 169*b - 3*k**2 wrt k?\nAnswer: 1128*b**2 - 72*b*k + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2152975019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2060011 (base 8) to base 9.\nAnswer: -1025818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-4 - (0 + 9 + -11 + 1 - 52))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2784 + 2787. Solve -m + 3*g - 7*g = 0, 4*g + 8 = -f*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*b. Suppose n - u = 7, -3*u - 14 = -2*n - 8*u. Find the second derivative of -2*w**5 - n*w + b*w + 2*w wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232354221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 9. Let g be b(-11). What is the third derivative of 4*y**2 - 15*y**5 + 8*y**5 + 0*y**g wrt y?\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2311032 (base 4) to base 14\nAnswer: -4326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -2\/9 (b) -14 (c) -0.5 (d) 2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/83)*p*p*p)\/p)\/(((p\/(p\/(p*p*p**14*p*p)))\/p)\/p) assuming p is positive.\nAnswer: p**(-1077\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199490*w - 4 - 199499*w + 598488*w - 199500*w.\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/55182 and 157\/110364.\nAnswer: 110364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q*q\/(q\/(q\/(q*q**(2\/5))))*q)*q)\/q*q))**(-46)*q**(-4\/7)*q\/(q\/q**(-11)) assuming q is positive.\nAnswer: q**(-1371\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 1:19 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwll when four letters picked without replacement from {l: 2, h: 1, w: 14}.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15875 and 6350.\nAnswer: 31750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y = -w - 10, -3*y = 3*w - 24. Suppose 9*c - 3*c - 12 = 0. Suppose 61 + 8 = y*x + c*b, x = -4*b + 33. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14420 and 0.5?\nAnswer: 14419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 3*q + 11*q + 5*q.\nAnswer: 13*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44160 - -78178. List the prime factors of g.\nAnswer: 2, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54 + 36*p + 11*p**2 - 2*p**4 - 4*p**3 - p**2 + 7*p**2 + 7*p**2 = 0. Calculate p.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - 2.4. What is the nearest to 7 in -2, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75) + 0)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**2)**(2\/91)\/((((j*(j\/j**(2\/29))\/j)\/j)\/j)\/(j**(-6)\/j)))**50 assuming j is positive.\nAnswer: j**(-785500\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141564463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.99999792 + -22. Round v to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 6*l**4 + 33*l + l**4 - 33*l - 1 to t*l**2 + o + w*l**4 + c*l + u*l**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70524*r**3 - 414636*r**2 wrt r?\nAnswer: 423144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -8) + -11)*(-3)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -12. Suppose -o*n = j - 42, -1 + 4 = -n. Solve 3*g = -15, -3*f - 5*g = -11 + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22705 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -384 or -383?\nAnswer: -384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51747181?\nAnswer: 89, 581429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*z - 364, -1 = -z + 3. Suppose 7*w - 264 = -19. Let m be (0 - (-111)\/15) + 21\/w. What is the greatest common divisor of c and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 155, 284, 433, 590, 743, 880, 989?\n\"Answer: -2*p**3 + 28*p**2 + 27*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -232, -246?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 96601 = -3*c + 8*u, u = -c + 32219. List the prime factors of c.\nAnswer: 2, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 7. Let i(u) = u**3 - 16*u**2 - 37*u - 20. Let f be i(17). Let q = -367 - f. What is n(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 + i**3 + 2*i**3 - 5*i**3 + (-46*i**4 - 16*i**4 - 117*i**4)*(2*i - 2 + 2).\nAnswer: -355*i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 2. Let h(s) = 3. Let y be (-224)\/126 + (-4)\/18. Let l(j) = j**3 + j**2 + j - 3. Let d be l(0). Give d*f(b) + y*h(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2736\/3192)\/((-2)\/(-6) + (-276)\/882)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 5*f + 0*f**3 - 9*f + 3*f**4 + f**3 + 3*f as g*f**4 + l + m*f**3 + o*f + q*f**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3136)\/6784 + 4\/8\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (173 + -177)*(7 + 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2 - (-6 + 2)). Suppose 4*p - 2 = b. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*f - 13 = 0, -7*a - 5*f = -2*a - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 49200 = u. Suppose -3*d + 6*d = -u. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = 3*h. Let w(f) = -4*f + 17. Let x be w(4). Let v be x\/2 - h\/(-4). Solve 0 = 4*r + 4, 5*z + v = 3*r - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, 1 m, and 1 v when four letters picked without replacement from {v: 4, s: 5, c: 1, i: 1, m: 2, b: 7}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9440 and 7840?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 3*a**4 + 0*a**4 + (-4*a**3 - 2*a + 2*a)*(2*a - a + 0*a) - 9*a**3 - a**4 + 9*a**3 + 2*a**4 + a**4 - 6*a**4.\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 8 in decreasing order.\nAnswer: 8, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2586398 * 0.1.\nAnswer: -258639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 336 and 138451472.\nAnswer: 138451808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551 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: Expand (-6*a - 2 - 11*a + 0*a)*(-5*a**3 - a**3 + 4*a**3).\nAnswer: 34*a**4 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10 + 33*q - 63*q + 31*q. Suppose 20 = 3*g - 4*p - 23, -p = -g + 16. Suppose 0 = -4*k + 3 + g. Give z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 259*q**2. Let i(l) = -140*l. Calculate i(s(d)).\nAnswer: -36260*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let p be n(-1). Suppose -3*f + 3960 = 4*a, -p*a - 2*f = -3*f - 1990. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-488)\/(-61)*(119\/518)\/(-17).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:10 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 1606 = 1756 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 267703 = -76*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1423707 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/40 - 43*y**3\/3 + 19*y**2. Let j(g) be the first derivative of l(g). Let z(h) = 70*h. Calculate z(j(f)).\nAnswer: 210*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(1008) + 6*2*sqrt(1008).\nAnswer: -7 + 156*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -15. Put 4, 3, y, -3 in ascending order.\nAnswer: y, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 - -88.3. Let n = 3.6 + x. What is the closest to -1\/3 in 0.4, n, 30?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15301 (base 6) in base 5?\nAnswer: -34420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9883892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 + (-1)\/(-6). Let k be 0\/(-3 + r) + -1. Is 13 a factor of ((-6)\/(-8))\/(k\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -66\/5. Put r, -4, 1 in decreasing order.\nAnswer: 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 20, -5*y + 369 = -j + 2*j. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102714.\nAnswer: 2, 3, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1820*h - 1795*h + 650 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -206874, -206875, -206876, -206877?\n\"Answer: -m - 206873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 smaller than 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 28\/3 of a week?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(301\/1290*(-20)\/(-168)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + 22*j - 22*j + 2)*(6*j**2 - 3*j**2 - 10 + 6) as d*j**3 + m + p*j**4 + k*j + i*j**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 925, 868, 767, 622, 433, 200?\n\"Answer: -22*l**2 + 9*l + 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14398*d - 14411*d = -63 - 41 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4573*p**3 + 10*p**2 - 7. Let i be r(-1). Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 98*p**2 - 190*p - 437. Give a(96).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n + 407. Determine o(13).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33 + -0.53. What is the biggest value in 0, p, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*o - 14, -2*i + o - 7 = 2*i. Let m be (-1)\/i*(-60)\/5. Does 2 divide (-14)\/3*m\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**3 - 590*i**2. Let j(s) = -s**3 + 2*s**2. Give -5*j(t) + z(t).\nAnswer: -2*t**3 - 600*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*f**3*l - f*l + 76*l wrt f?\nAnswer: 792*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597399 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -5. Let l be g\/14 - (-540)\/525. Let m = -59 - -58.7. Which is the closest to -5? (a) l (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71122031 to the nearest one hundred thousand.\nAnswer: -71100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 24*q + 44. Let v be w(22). Solve 5*t - j + 5 - 2 = v, -2*j = -6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 2*m**4 + 3*m**2 - 13 - 4*m**4 + m - 315*m**3 + 11*m**2 - 16*m**2 as t*m**4 + l*m**3 + g*m + c + f*m**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/3, -238446, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1342 (base 7) to base 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 7. What is the units digit of k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23331121 or -23331119?\nAnswer: -23331121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3538749ml?\nAnswer: 0.0003538749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 700134*d**3 - 18676932*d wrt d?\nAnswer: 4200804*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 793 - 595)*(2*p**2 - 2*p**2 - p**2).\nAnswer: 1416*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100\/3, -260, -5, -0.06 in increasing order.\nAnswer: -260, -100\/3, -5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37078?\nAnswer: 2, 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*y, 20 = 3*p - y - 15. Put 0, -2, p in descending order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 8*v + 4*v - 5*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 - 110*r + 567. Determine q(-32).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496937293 a multiple of 8284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6602*a + 2429*a = 420503 - 5077 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -213272 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4269020 is divided by 929.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {k: 4, m: 3, n: 5, i: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2\/2 - 30*f + 65\/2 = 0 for f.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*s + 364. Does 40 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 7, 0, 0.045887?\nAnswer: 0.045887","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:26 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/13 - 51368*f\/13 - 51366\/13 = 0 for f.\nAnswer: -25683, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27063385 a multiple of 1285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 0.1 (c) 0.08482 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1043 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/36 - (-34)\/12. Let k be (18\/36)\/(u\/2). Find p, given that 0 + 1\/3*p**4 + 1\/3*p**3 - 1\/3*p**2 - k*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 106) + 26 + 15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 8, a: 5, s: 7}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (90 - -2) + 27 + -24 - (14 + -2).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2) + (0 - 0). Let g = r + 1. Suppose 0 = 5*m - 7 - 13. What is the least common multiple of g and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 88430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7372\/41 or 180?\nAnswer: 7372\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 - 2 = j, q = j - 5. Let y(w) = -22*w - 2. What is the lowest common multiple of 14 and y(q)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in 9\/16, -3, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -26. Let k(j) = j**3 - 2 + n + 5. Calculate k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.22969 rounded to 0 dps?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*(x*x**(-1)*x*x)\/x)**43 assuming x is positive.\nAnswer: x**(301\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 124 = -2 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1161*p**2 - 2330*p**2 + 1169*p**2 + 3977*p**3.\nAnswer: 3977*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22772.\nAnswer: 2, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 730201037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -191337 and -191336 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, r: 4, u: 10, l: 1}. What is prob of picking 4 u?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1965899, 3, 5, -1 in increasing order.\nAnswer: -1, 0, 3, 5, 1965899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*m**2 + 0 + 254\/11*m = 0.\nAnswer: 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 13*i**2 + 44*i - 93. Let r be o(4). Let q(s) = s**2 + s - 16. Determine q(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*g + 22 = 0, 3*g + 31 = 2*f + 10. Is 10 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*((-3 + 3 - 1)*(5 + 0 - 3) + (1 - 4 + 2)*(-2 - 2 + 6) + 6 + 0 - 4 + 3 + 0 + 4) + (2 + 0 + 1)*(2*l + l - l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-368 - 368 + 838)*(3 + a - 5 - 3*a).\nAnswer: -204*a - 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21451834 by 6.\nAnswer: -10725917\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4204040 (base 5) to base 10\nAnswer: -69270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1339*y + 29036 = -131*y + 866*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12157, 12152, 12145, 12136, 12125?\n\"Answer: -j**2 - 2*j + 12160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4151*h. Let b(v) = 53*v**2. What is q(b(o))?\nAnswer: -220003*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -6, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.17293629 - -25048\nAnswer: 25048.17293629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 18254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*o = -2494 - 481 - 1909. What is the greatest common factor of 4440 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d, -25 = -80*l + 75*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 2*j + 2*j. Solve -j - 1 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11220 + 86*k - 11221 + 22402 in the form w + q*k and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 + (-214 - -179) + -23 + -2.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20)*y*y\/y**18*(y**(-2\/25)\/y)\/(y**(-1)*y))**50 assuming y is positive.\nAnswer: y**(-1854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 583672699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 7*w + 8. Let i = -1830 + 1825. Give c(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5189, 5270, 5405, 5594, 5837, 6134, 6485?\n\"Answer: 27*n**2 + 5162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8317 = -4*v + 3*q, -4*v - 43*q = -45*q - 8318. Is 34 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*u - 4. Let n = 4 - u. Suppose 0 = 5*f - n*f - 100. Calculate the common denominator of f and -6\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*31\/248)\/((-10)\/(-72)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(475) + 0 - (-1*(2 + sqrt(475)*2 + sqrt(475)))**2) + 0 + 2)*-3.\nAnswer: 195*sqrt(19) + 12834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000227651513 to 6 decimal places.\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 135, 543, 1349, 2685, 4683, 7475, 11193?\nAnswer: 15969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17116 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.04 (b) 2 (c) 5 (d) -5 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 52*h**2 + 0 + 60*h**2 to the form s*h + a*h**2 + z and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 34440?\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, -14, 2 in descending order.\nAnswer: 5, 4, 2, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -529, -591, -661, -739, -825?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33464 and 752.\nAnswer: 66928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 165*c**2 + 580*c.\nAnswer: 5*c*(c + 4)*(c + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*(140\/(-10) + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, -312, 7 in increasing order.\nAnswer: -312, 7, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9109158 by -426.\nAnswer: 21383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*r + 2*r + 17, -4*a - 3*r - 8 = 0. Let t(z) = -51*z - 4. Determine t(a).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 30*b**2 - 18*b + 4. Let i(s) = 168*s**2. Determine q(i(h)).\nAnswer: 846720*h**4 - 3024*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 2521.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/7 + 6080*o**2\/7 - 3429725*o\/7 + 508846750\/7 = 0.\nAnswer: 305, 5470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 - -4. Sort h, 2\/7, 5.\nAnswer: h, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Suppose 0 = b - 0 + 6. Let c be d\/b*(15 + -6). Solve 3*t - 6*t - c = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6 - -2)\/((-12)\/36)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6621811 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from orrorrrrorrrrrrorrrr?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8940 or -8913?\nAnswer: -8913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25 + 25)*7\/49. Let o(m) be the first derivative of 4\/5*m**5 + r*m**3 + 0*m**4 + 2 + 0*m**2 - 10*m. What is the first derivative of o(y) wrt y?\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(3\/3)*-1. Suppose 0 = -t*m + 10 + 5. Sort -8, -1, m in increasing order.\nAnswer: -8, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00101500462 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*j**4*n + 30*j**3*n + j + 84921*n wrt j?\nAnswer: 312*j**3*n + 90*j**2*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(1 + (-18)\/14). Let w(z) = z**3 - 6*z**2 - 6*z + 2. Let y be w(v). Let u be (-3)\/y + 4\/3. Put -3, 0, u in increasing order.\nAnswer: -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjj when three letters picked without replacement from jijizzjzigj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60286397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/2)\/(99\/198)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700962.27 rounded to the nearest one hundred?\nAnswer: 2701000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2\/25, 6.6, -641, -5.\nAnswer: -641, -5, 2\/25, 3, 4, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2 (c) -699 (d) -13.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x + 16. Let z(y) = y + 2. Let i = 1 - 1. Let n be z(i). Solve 3*t = n*k + 15, -5*t = -4*k - 11 - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5770 (b) 118 (c) -3\/4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 39\/2. Let j be 4\/(3*4\/6). Suppose -6 = -0*z + j*z. Sort v, -2, z.\nAnswer: z, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -6101\/1055 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(550))\/sqrt(11).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**3 - 13*n**3 - 2*n - 4*n**3 - 10*n**3.\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 4*p**2 - 2*p - 1. Let a be d(-4). Solve 0 = -8*v + a + 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 1 - 1)*(138*b**2 + 78 - 139*b**2 - 2*b - 31).\nAnswer: -2*b**3 - 4*b**2 + 94*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilometer in meters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-60) - 16\/120. Which is the biggest value? (a) -2 (b) u (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -701, -2800, -6365, -11450, -18109, -26396?\n\"Answer: -9*p**3 - 679*p**2 + p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 1. Let d be -4 + 2 + -6 + k. Suppose 0 = -d*m + m + 435. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2792327 times 0.1?\nAnswer: -279232.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 93*l - 11150. Give z(120).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - h - 78 = 0, 4*h + 0*h = -4*t + 144. What is the greatest common divisor of 418 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + -38. Let i = 69 + d. Solve 3*t + 2*t + i*t**3 + t - 12*t**2 - 3*t**4 - 1 = 0 for t.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:15 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**2 - 1. Suppose 3 = 4*z - 7*z. Calculate h(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-28)\/(-63)) + -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645900 rounded to the nearest 10000?\nAnswer: 2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5967*m**2 - 2631*m - 15. Let r(s) = 8950*s**2 + 3949*s + 21. Let a(f) = -7*h(f) - 5*r(f). What is the second derivative of a(o) wrt o?\nAnswer: -5962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 + 62176610*i**2\/9 + 124353214*i\/9 + 62176606\/9.\nAnswer: 2*(i + 1)**2*(i + 31088303)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/602 + -4203\/6622. Let k = 3188\/38437 - -750468797\/22408771. Let d = -372\/11 + k. Find the common denominator of a and d.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + (9 - 2) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 10*z - 11. Let j be y(-16). Suppose 8*i - j = 3*i. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4)*g*g**(4\/5))\/(g**(5\/3)*g\/(g**7*g)) assuming g is positive.\nAnswer: g**(473\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(-1 - 2 + 1) - 232*k + 455*k - 332*k.\nAnswer: -111*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*r**3 - 141750*r + 141750*r.\nAnswer: -69*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*n + 112*n + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.28 + -15.28. Let p = -14 + 14.07. What is the nearest to w in -2\/13, 2, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94\/17*a + 10\/17*a**2 - 60\/17.\nAnswer: 2*(a + 10)*(5*a - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95571669 rounded to three dps?\nAnswer: 0.956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1) + (-2 - 17). Let o = g - -29. Let y(m) = 2*m**2 + 3*m + m**2 + 4 - o. Give y(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 237*s - 2874. Calculate g(12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -3, 142, -0.12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 8*s + 61. Calculate o(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a*y**2 + 2*a*y + 12069*a + 7504*y**2 - 2*y wrt y.\nAnswer: 8*a + 15008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**2 + 449*u + 3392. Calculate b(47).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8151725 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3455*f**3 - 3364*f.\nAnswer: 20730*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:36 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019345 to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 3*v**2 - 20 - 42 - 31.\nAnswer: 3*v**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3633*u**2 - 945*u + 4. Let c(j) = -7265*j**2 - 1846*j + 9. Let w(d) = 4*c(d) - 9*n(d). What is the second derivative of w(y) wrt y?\nAnswer: 7274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 689 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*o + 2*o - 56, 2*d - 4*o = 4. Let g(u) = -8 - d*u + u + 6*u + 13. Give g(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-50)\/4)\/(5\/(-50))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*i + 0 + (5 - 5 + 5)*(6*i - 2*i - 3*i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/11 - -9\/22. Which is the closest to -1\/4? (a) 3\/2 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-h + 5*h - 55*h)*(-3*h + 3*h - 3*h) as q + a*h + u*h**2 and give u.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d = -4*j + 37*d - 51, 0 = j - 23*d + 41*d + 375 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 8 = -2*s. Find the third derivative of -6*w**s + 23*w**5 - 3*w**5 + 40*w**2 wrt w.\nAnswer: 1200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -48. Let r(a) = -3*a**2 - 5*a - 5. Let x(c) = -2*c**2 - 2*c - 2. What is v*r(s) - 5*x(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = 5*y - 680. Let l be 666\/54 + (-1)\/3. Suppose -l = -4*v + 16. Solve -v = y*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**3*v**3 + 86*a**3 + 35*a**2*v**2 + 8*a**2*v + 9*a*v**3 + a + 2*v wrt v.\nAnswer: 36*a**3*v + 70*a**2 + 54*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/3*(-6)\/4. Suppose 4*v - 156 = c*v. Is 9 a factor of v\/8 + (-6)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 19*m - 25. Let p be s(16). Suppose -4*k + 4*t + 252 = -0*k, 2*k = 3*t + 128. What is the highest common factor of p and k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 1. Let t(s) = 19*s**2 - 17*s - 1. Let v(u) = m(u) - t(u). Find the second derivative of v(x) wrt x.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 8*a - 664. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l + 2*l + 0*l)*(0*l**2 + 2*l**2 - 4*l**2) + 3*l**3 + 0*l**3 + 3*l**3)*(3*l - 16*l - 2*l).\nAnswer: -120*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1308 + -1244. Let y be (2\/2)\/((-1)\/(-16)). What is the greatest common factor of y and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011110100111001 (base 2) in base 6?\nAnswer: -1423545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*b - 3*r, 4*r = b - 4*b - 7. Suppose -l = -b + 32. What is the units digit of (5 - 2) + (-9 - l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 373. Let d(l) = -67182*l**2. Calculate s(d(h)).\nAnswer: 67182*h**2 - 373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7*f = 16. Suppose 0 = 3*r - f*r + 3. Let y be (-3 - -5) + 125\/(-20). Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13*j**2 - 1. Let k be w(-1). Let y(o) = 1 + 0 + 2*o - 18. Let m be y(k). Solve 1 = 2*p + m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-166)\/(-1245))\/(6\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6188526 to the nearest integer?\nAnswer: 2488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h - 126*h = 332*h - 17061. Let v(r) be the first derivative of 26\/3*r**3 + 0*r + 1\/2*r**2 + h. What is the second derivative of v(b) wrt b?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -275\/38 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/4)\/((-1)\/(-16)). Let x(d) = 2*d - 8. Let k(m) = m**3 - 2. Let q be k(2). Let n be x(q). Calculate the highest common factor of n and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.74*-0.2.\nAnswer: 1.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - y**4 - 4*y + 4*y - 2*y**4 + (-2*y**2 + 2*y - 2*y)*(-4*y**2 + 2*y**2 + 3*y**2) + 2*y**4 + 18*y**3 - 18*y**3.\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 68 = -3*f + 237, f + j - 99 = 0. What is the highest common divisor of 80 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 66. Let b = -42 + l. Suppose 5*v = 10, 0*x - 3*x = -3*v - 48. What is the smallest common multiple of x and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 73*g = 6*g + 528 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 32 = 7*m. Suppose f + 4*s = 3*f + m, -f = -3*s + 8. Let p(t) = 4*t**3 + 5*t**2. Let z(y) = 3*y**3 + 4*y**2. Give f*p(v) - 5*z(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66767 is divided by 119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*v**2 - 228*v**2 + 10*v**3 + (-v - v + 0*v)*(v - v + v**2) + 0*v**3 + 2*v**3 - v**3 in the form r*v**3 + c*v + j + u*v**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 34*m - 84.\nAnswer: -2*(m - 14)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500 and 14?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-614176)\/(-14280) + 2\/(-210)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -26887.\nAnswer: -26888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.59558611 rounded to 3 decimal places?\nAnswer: -3.596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 397403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11197 - 11202. What is the fourth smallest value in -1\/6, 0, 2\/3, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*x = -1020*x - 35 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9 - (-95349)\/36. Let s = -2667 + w. Calculate the common denominator of s and 12\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -352699?\nAnswer: -18\/352699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**4 - 1181*o**3 - 153*o + 1566995 wrt o?\nAnswer: 4*o**3 - 3543*o**2 - 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 245. Let d(t) = 39*t**2 - 3*t. Calculate l(d(a)).\nAnswer: 117*a**2 - 9*a - 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 20900.\nAnswer: 104500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 159 - 2*p**3 - p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -20*m - 234. Let w be s(-8). Put 2, w, -6 in increasing order.\nAnswer: w, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 + (-7 + -7 - 6) - -4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - -3)*3*(-2045)\/30.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.497 - 2.497. What is the fourth smallest value in r, 5, -5, -3, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p - 2*p**4 + (3*p**3 + 0*p**2 + 0*p**2)*(-11*p + 103*p - 8*p) + p**4 + 2*p**4 - 4*p**4.\nAnswer: 249*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 2339853, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-5))\/(1\/2). Suppose 3*j = -4*i + 1, i - r + 1 = -j. Solve -8 = -j*l - 2*l + 4*s, 5*l = -3*s + 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, f: 7, d: 8, e: 1}. Give prob of picking 1 e, 1 f, and 1 d.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 11 = 4*o. Suppose o = 4*t - 2*t. Solve t*m + 0 = 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 108\/7 (c) -2936 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 24. Suppose -4*r = -4*k + 76, -r - 2*r - c*k - 41 = 0. Let y = 37 + r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131\/2 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 66?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*k + 387 = 0, 0 = -6*g + 2*g - 5*k - 313. Let x be ((-182)\/g)\/((-3)\/(-8)). Let f = -18\/11 + x. What is the common denominator of f and 54\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1675090 divided by -5.\nAnswer: 335018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25532038 and 154.\nAnswer: 280852418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*f + 83 = -7, -4*f = 4*i - 120. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**2 + 3*s**2 + 2*s**3 - 217 + 1.\nAnswer: 2*s**3 + 26*s**2 - 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2002 rounded to two dps?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441020 - 3?\nAnswer: 441012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*v - 192*v + 8928 = 0. What is the smallest common multiple of v and 2?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 6. Let j be m(-8). Let g = 29 - j. Calculate the least common multiple of 9 and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -5 in descending order.\nAnswer: 8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369603*c**5 + 2926476540*c**4 + 5786865220530*c**3 - 23822100075120*c**2 + 2528159406315*c - 67967004972 = 0.\nAnswer: -3961, 19\/351, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 652122273 to the nearest integer?\nAnswer: 25537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171221 is divided by 4379?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 2066 = 581. Let z = -90 + x. Calculate the highest common divisor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -13*t - 4*i, -42*t + 40*t + 4*i = 16. Let u(q) = q**3 - q**2 - 16*q + 16. Give u(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2868079+0.0734\nAnswer: -2868078.9266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1631213?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4899\/580 - 75\/116. Factor -12\/5*f**3 - 6\/5 - u*f**2 - 33\/5*f.\nAnswer: -3*(f + 1)*(f + 2)*(4*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2 + -1 - (-12070)\/2840?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (0 - 2157\/690). Let l = f + -29581\/2530. Let o = l - -12. What is the third biggest value in o, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*g = -0*g + 4, -3*y + 5 = -4*g. Let i = -18.41 + 18. Let q = i + 0.71. Which is the smallest value? (a) 3 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 6*h - 118. Let k be v(41). Let u = k + 812. Round u to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b6b96 (base 13) in base 4?\nAnswer: 11200112032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 54. Suppose 13 = t + n + 2*n, k = 2*n - 8. Which is smaller: t or 13\/17?\nAnswer: 13\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*s - 89 + 103*s + 25*s + 87 to c*s + x and give c.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11237, 23016, 34795, 46574, 58353?\nAnswer: 70132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70348011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -962?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 137*a**2 - 9*a. Let f(k) = -k. Give p(f(r)).\nAnswer: 137*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111011100100000100110100?\nAnswer: 111011100100000100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 7534*z**2 + 90142*z - 82610 = 0. What is z?\nAnswer: 1, 11, 3755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 23. Let a be z(20). Sort a, 7, 0, -5 in descending order.\nAnswer: 7, a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 + l. Suppose -7 = -q - 0*q. Suppose -q*s - 3 = -4*s. Let v(x) = 9*x**3 + 7*x**2 - 5*x - 16. Let t(g) = s*v(g) - 5*z(g). Factor t(j).\nAnswer: -4*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 16*b + 27*b + 6 - 3*b.\nAnswer: 41*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 618.6598 centuries in years?\nAnswer: 61865.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/9, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.00132648 + -3709735.99867352. Let v = k - -3709539.00485. Let t = v + 197. Round t to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**3\/6 + 6*o**2 - 2*o. Let z be c(9). Let a = -6 + 11. Solve j + 15 = -a*b, -b - 3 = 6*j - z*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c - 106. Suppose -s + c = 113. Is -21 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32541572 and 245535.\nAnswer: 488123580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1356288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*l - 337, 4*l - 272 = x + 3*x. Let i be x - -66 - (5 + 0)*-1. Solve i = -9*m + 6*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*s = -16, -6*m - 49 = 3*s - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2883800 rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 34*r + 246*r + 4 to the form a + x*r and give x.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n**2 + n)*((0 - 1 - 1)*(3 - 4 - 1) + 1 + 3 + 0).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - y - 1)*(-y + y + 2*y**3 + (0*y**2 + y**2 + y**2)*(-204*y - 3*y - 75*y)) in the form b*y + p*y**4 + a + c*y**2 + m*y**3 and give p.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.8235602 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 3. Let x(v) = v + 1. Give 4*d(i) + 10*x(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/6 - 306\/51. Factor -1\/2*n**2 + 1\/3 + 4\/3*n**3 - 5\/6*n + f*n**4.\nAnswer: (n + 1)*(n + 2)*(2*n - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 168.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -25*f**3 - 28*f**2 - 28*f - 1. Calculate u(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100010001100 + 11?\nAnswer: -1101100010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6723.27 months in centuries?\nAnswer: 5.602725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/520*-14 + (-1)\/1. Let r = -3.91 + -0.09. Let h = -7 - r. Which is the nearest to u? (a) h (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 664861372 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) -40 (b) 125 (c) 2\/3 (d) 3 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 13*c**7\/70 - 11*c**6\/120 - 857*c**4\/24 - 2*c**3\/3 + c**2 - 1098. What is the second derivative of r(x) wrt x?\nAnswer: 468*x**2 - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b + 5*b + 3*b)*(3*b**2 - 2*b**2 + 0*b**2).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2239\/376 or 6?\nAnswer: 2239\/376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -124, 3, -87, -5 in increasing order.\nAnswer: -124, -87, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 46, 67?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + h = -2*u - 1186, h + 2965 = 5*u. Let m = -589 + u. Solve -3*d = -n - 10, 0 = -d + 3*d - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15*530\/((-4452)\/(-42))*(-165)\/(-9)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-2)\/24)\/1)\/(374\/(-561)). Let x(k) be the third derivative of 3\/20*k**5 + 7*k**2 + 0 + 0*k + 3\/2*k**4 - t*k**6 + 2*k**3. Factor x(p).\nAnswer: -3*(p - 2)*(p + 1)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81617*-660.\nAnswer: 53867220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2*u**2*z**2 + 3680*r**2*u*z**3 + r**2*u - 4*r**2*z**3 + 3749*u**2*z**3 wrt u?\nAnswer: -2*r**2*z**2 + 7498*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/6*10*-1. Let l(h) be the second derivative of h**4\/12 - 7*h**3\/3 - 15*h**2\/2 + 94*h. Let a be l(m). Solve a = -0*w + w - 1, -4*w + 9 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11676 is divided by 76.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2 + 2*b**2 + 33*b**5 + 0*b**2 + 15*b - 13*b + 6 wrt b?\nAnswer: 660*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.6 or 1\/123?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-two fifths of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 44899.8 micrometers?\nAnswer: 0.0000448998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3957? (a) 4 (b) 78 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -u, 5*u = -4*d - 17 + 6. Let h(o) = o - 3. Let g be h(5). Let f(k) = 2*k + 1. Let j(m) = 2*m + 2. Calculate g*j(p) + u*f(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1 - 4)\/((-11)\/121). Solve 3 = -3*s, 4*b + 5*s = -p + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17450236.192 + -1.\nAnswer: -17450237.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**3*w + 148*q**3 - 6735*q**2*w - 3*q**2 + 5*q wrt w.\nAnswer: 2*q**3 - 6735*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 0 + 0 + (2*b - 2*b + 2*b)*(4 - 5 + 3) - b - b + b + 0*b + 3*b - 5*b + 5*b - 2*b - 5*b + (-b + 4*b - b)*(0 - 1 + 0) to r + w*b and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8727106530 to the nearest 1000000.\nAnswer: -8727000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0 + 0*m**3 + 0*m - 1\/20*m**5 - m**2 + 0*m**4. Let i(y) = -y. Determine w(i(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 4*g + 6. Let r be d(-1). Let k(w) = -3 + r - w - 6 + 3. Calculate k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*w + 144 - 142 = 0, 0 = 4*x + 4*w - 44 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**24*s*s*s*s\/s**14)**(-8) assuming s is positive.\nAnswer: s**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 574, -102, -5, 8.\nAnswer: -102, -5, 8, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1564 and 306?\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-4) + (16\/10 - 2144\/640).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 41\/9868?\nAnswer: 41\/9868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/15 and -11\/411.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1727, 1726, 1725, 1724?\n\"Answer: -n + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ddd - -b?\nAnswer: 100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96123 or 288373\/3?\nAnswer: 288373\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.5 - -4. Let a(d) = d**2 + 3. Let l(c) = -c**3 - 10*c**2 - 9*c. Let p be l(-9). Let f be a(p). Sort g, f, -2\/15.\nAnswer: g, -2\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + 0)*(-36)\/(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w\/(w*w\/(w\/(w*(((w*w\/(w*w**6*w)*w)\/w*w)\/w)\/w)))*w)\/w)\/w*w\/((w*w*w**(-5\/6))\/w))\/(w**(7\/5)*w**(-7)\/w) assuming w is positive.\nAnswer: w**(403\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465232745 to the nearest integer?\nAnswer: 21569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15165*q - 688506 - 270328 = 284696 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6370, 6360, 6342, 6316, 6282, 6240?\nAnswer: 6190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 5*y**2 - 8*y - 9. Let i be x(-6). Suppose i*u - 6*u + 78 = 0. Let w = u + -4. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 20 = -0*a. Let y be (34\/(-136))\/(96\/(-128)). What is the closest to -4 in -2, -5, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 43. Let z = 22 + l. Suppose z = a + u - 8, -u - u = 4*a - 40. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-6\/17)*(t**(1\/5)\/t)\/(t\/(t\/(t*t**(3\/10)*t))*t) assuming t is positive.\nAnswer: t**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:40 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from aaajajjzazdzajb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -4)\/((-3)\/(-1)). Suppose i = 19*d - 14*d - 45. Suppose -l + 31 - d = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-36)*-3)\/(((-4)\/120)\/((-196)\/(-56)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -0*h + d, h = -2*d + 8. Let c = -1108 + 1115. Does 6 divide h*1 - c\/(7\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 4*u, -4*u + 3*d - 12 = 7*d. Suppose 2*a - 22 + 6 = 0. Suppose -2*p = 3*k + a, 3*p - k - k - 1 = 0. Is u smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*s + 6*s - 26, 0 = -5*s - 5*o + 25. Let k = s - 9. Which is smaller: k or -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80923173.\nAnswer: 3, 71, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2146 or -337?\nAnswer: -2146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 564\/15989 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -1585, 4 in descending order.\nAnswer: 4, -45, -1585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.21 (b) -2\/7 (c) 0.5 (d) 1.2 (e) 4 (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let d be 38\/14 - 2\/(-7). Let t be p(d). Let w(h) = 4*h - 6. Let l be w(5). What is the highest common divisor of t and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 take away -2088.927?\nAnswer: 2067.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1179712 and -91\/147464.\nAnswer: 1179712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*15*18\/(-20250)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106214 (base 10) in base 5?\nAnswer: 240344324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 5, 0, 1, -22, 3\/10?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -983513*z**2 + 223414*z wrt z?\nAnswer: -1967026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.034 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let r = 764 + -764.2. Which is the smallest value? (a) g (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-9)\/(-3) + 1. Suppose k*l + 821 = 61. Let s be (-800)\/(2\/l*2). What is s rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -99, -188, -267, -336, -395?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63595128 divided by -38.\nAnswer: -1673556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose h = -2*p + 5*t, -2*p + 16 = -3*p - 5*t. What is the units digit of 1*(-2)\/3*p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3388)*-1 + sqrt(3388)*-2 + 2 + 5)**2.\nAnswer: -1848*sqrt(7) + 122017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31228331 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/2)\/(210\/60))\/(3\/(-105))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 34 = 2*g + 3*f, 30 = 4*g + 2*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-5 - (-7 - -12 - 3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.2 - -4.8. Let c = -31.99999992 + s. Round c to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -324 - -355?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = -0. What is the common denominator of g\/5*(-168)\/(-32) and -34\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((-2*sqrt(84))\/sqrt(12)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:04 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8513 + 110732\/13. Which is smaller: 6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 54. Calculate the remainder when 51 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.231 + 0.069. Which is the biggest value? (a) -1\/2 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677.5772mm to kilometers.\nAnswer: 0.0006775772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - 5) - -3 - (-3 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7275?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 1571 + 11149. Suppose -n = 2*q - 330, 2*q + p = 3*n + 2*n. Is n a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*q + 54, 3*q + 77 = -5*d + 14. Suppose 0 = l - 3*g + 3, 0 = -2*l - l + 2*g + 5. List the prime factors of (l + q\/4)*-40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569880 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-12) - (-321)\/12. Suppose -5*b = 4*u - 0*b - z, b - 6 = -u. Find the first derivative of -1 - 6*n**3 - 3*n + u*n + 7*n**3 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(6\/4)\/(42\/(-252)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 9*z - 23*z + 4*z**2 - 16*z**2 - 22*z to f*z + t + l*z**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.55. Let l = -2.45 + p. Let v = -6.8 + l. Which is bigger: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.57 - 12.07. Let o = f + 11.49943. What is o rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10c - -111?\nAnswer: 21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25865 - 25795. Calculate the smallest common multiple of 340 and n.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 5*x**3 + 2*x**3 + 6*x**4 - 2*x + (6*x**3 - 3*x**3 - 2*x**3)*(2*x - 5*x + x).\nAnswer: 4*x**4 - x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a - 25, a = -3*r - 158. Let j = r + 55. Let p be (-20)\/(-15) - j\/(-6). Solve 2*q = p*s + 3*s - 18, 4*s = -q + 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -7410.\nAnswer: 43\/7410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -14. What is the second smallest value in 3\/8, a, -1\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4051.75 litres?\nAnswer: 4051750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/6*2*36. Let x = -118 - -176. Suppose 2*o - 5*l - x = 0, 3*l - 50 = -3*o + 16. Calculate the highest common factor of a and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1002?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 401020046267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skxk when four letters picked without replacement from xaekskseppaeskkkska?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0*p**2 + 0*p**2)*(5435*p - 3 + 0 + 9059*p + 3).\nAnswer: 14494*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from rxrzrrqpuuruupuu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14693 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 3. Let d be r(-3). Let s(c) = -17*c - 9 + 11 + 28*c + 14 - 15*c. List the prime factors of s(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(16\/(-12)). Let k = -23.7 - -23. Sort 4, k, a in decreasing order.\nAnswer: 4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2. Let g(c) = 4*c. Suppose -6*m - 16 = -2*m. Let b(t) = 2*t. Let f(d) = m*g(d) + 7*b(d). Give f(o(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*x + 24680 = 8258. Solve -35 = x*d - 168*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.9 from -0.059118.\nAnswer: -4.959118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-17 + 5 + (13 + -9 + 4 - 4))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509521 > 2509498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - d**2 + 2*d + 5. What is the remainder when z(3) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 13*m + 7 = 0. Which is greater: -1\/266 or m?\nAnswer: -1\/266","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93176 or 93175?\nAnswer: 93175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.3, -5, -1\/11.\nAnswer: -5, -0.3, -1\/11, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 7*d**2 - 8*d - 8. Let b be n(-6). Suppose -153*q - r = -149*q - 18, 5*q = -r + 24. Solve 6 = -b*y - q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*k - 11 = 2*i, -5*i - 2*k = 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*k**2 + 44 - 430*k**2 + 904*k**2 - 44.\nAnswer: 915*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z. Let f(k) be the second derivative of -k**6\/360 - k**4\/3 - 2*k. Let s(w) be the third derivative of f(w). Give u(s(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/69, -52, -237, 1, -4 in descending order.\nAnswer: 1, -2\/69, -4, -52, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 403 + 675. Let a be -1*5\/((-20)\/12). Suppose -a*c = -d - 82. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*f + 2*f - f)*(f**2 + 2*f**2 + 0*f**2) - 7 - 10*f**3 + 7)*(-3*f - f + 5*f) as y*f**2 + h*f**3 + z + q*f**4 + b*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*n - 46 + 156, 0 = 4*n + 4. Suppose -t = -3*o - o. Let q = o + 1. Calculate the least common multiple of 4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Suppose 0*k - 2*k - 5*x = 7, 3 = a*k + 3*x. What is the second derivative of -k*o - 2*o**5 - o**5 + 7*o wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 42*o**3 - 1 - 2*o**2 - 33*o**3 + 64*o**3.\nAnswer: -11*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, and 1 f when three letters picked without replacement from {t: 2, f: 2, q: 1, s: 1, c: 1, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/13*13\/3. Let w(u) = 9*u**2 + 4*u - 5. Let o(t) = 8*t**2 + 3*t - 4. Let x(a) = -4*o(a) + 3*w(a). Let y be x(1). Put v, 7, -1, y in descending order.\nAnswer: 7, v, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29972202.99817 - 29971840. Let w = u - 363. Round w to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -4. Calculate the remainder when 49 is divided by (357\/r)\/(-7)*2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (141\/47)\/(3\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58168 divided by -58168?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h = 764*h - 12736. Suppose s = -3*s. Suppose z - 20 = -s*z. Calculate the least common multiple of z and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1008 - -1035. Are 31 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18937256 and -1.\nAnswer: 18937255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 442.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - h - 3. Let v = -6684 + 6682. Let d(m) = -16*m**2 - 3*m - 10. Give v*d(k) + 7*r(k).\nAnswer: -3*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41667788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 21*o + 1360 = 0. Suppose -k = i - 187, -i + 187 = 83*k - o*k. What is the lowest common multiple of i and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 813 = -4*j - 255, 3*q + 3*j = 1701. Calculate the common denominator of q\/4*(-6)\/(-36) and -95\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 + 120 = 10*t + 248 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 0 - (-62 - 1). Suppose -r = 3*r + 5*v - c, -5*r + 5*v + 60 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 19 = 5*b - 16, 0 = 4*b + 4*o - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0082 * -0.51.\nAnswer: -0.004182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlj when three letters picked without replacement from {n: 2, j: 6, r: 10, l: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -5*d + 2*c, 0 = 2*c - 3*c - 2. Suppose 8*u - 68 - 156 = 0. What is the remainder when d is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:48 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h\/(h*h**(-18)))\/h*h))\/(h\/((h\/(((h**(4\/7)*h)\/h*h)\/h))\/h)) assuming h is positive.\nAnswer: h**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 + -9 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15944, 9726, 3508?\n\"Answer: -6218*c + 22162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91 + 257 + 62)*(2 - 2 - o) - 133*o + 56*o + 55*o in the form c + l*o and give l.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0 + 1)*-1)\/1. Let t be ((-7)\/3 - r)*-3. Suppose -t*i + 28 = -0*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 153*f + 2963. Determine i(-18).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*f - 15. Put f, 5, 1 in descending order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -121001?\nAnswer: -120323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0.2, 5 in increasing order.\nAnswer: -1, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2\/29))*q*q\/(q\/(((q**(-1)*q*q)\/q)\/q)))\/(((q*q*q**(-2\/31)\/q)\/q)\/(q*q**13*q)))**(-2) assuming q is positive.\nAnswer: q**(-27210\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 38 + 13*s + (-9 + 38 + 15)*(1 + s + 4 - 3*s) as i + a*s and give i.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1160630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 1502 + 954 = -998 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(468) + sqrt(468))**2*5.\nAnswer: 63180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 10. Suppose 7*p = 4*p - 15, -5*v + 4*p = g. Let a = v + 6. Solve -3*h + h = a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*s + 404*s + 177*s + 160*s.\nAnswer: 639*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5722 * 1241.\nAnswer: 7101002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + -126. Suppose j*y + 130 = 6*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2768156 and -21\/67516.\nAnswer: 2768156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2269850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 6*c + 73959*c**2 - 2*c - 93442*c**2.\nAnswer: -19483*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1662576 (base 14) to base 15.\nAnswer: e72533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = -o, -3*o + 0*o = 3*i - 6. Suppose o = -4*x + 3*s + 23, 5*x - 2*x + 3*s = -9. Put x, 1, 14 in increasing order.\nAnswer: 1, x, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((38 + 2)\/2)\/2. Solve -k - 4*i + 7 = -2*i, 0 = 2*k - 2*i + q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 767, 791, 851, 965, 1151, 1427, 1811, 2321?\nAnswer: 2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v + 4. Let b be j(-3). Is ((-74)\/5)\/((-5)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 235008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*q + 27 = 0, -85*q + 89*q = 4*y + 4 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 313*s - 4065. What is u(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512, 388, 46, -622, -1724?\nAnswer: -3368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 2. Let u = -9 + 2. Let x(p) = -p + 4. Let r be x(0). Let y(t) = 8*t - 9. Let s(h) = h - 1. Let j(w) = -6*s(w) + y(w). Calculate r*j(d) + u*b(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 433099893362 take away -1888?\nAnswer: 433099895250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.2 + -29.3. Which is the closest to t? (a) 0.8 (b) 5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 17. Let q be x(-10). Calculate the greatest common factor of 39 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k - 12. Differentiate 3*a**3 - 2*a**4 + 1 + 3 - k*a**3 wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9392\/(-784) + (-42)\/2058. Suppose u + 16 = 4*y, -5*u = 3*y - 0*y + 11. Sort l, y, 2, -2 in increasing order.\nAnswer: l, -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2, 0, 1002.\nAnswer: -2, 0, 1\/4, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 8*z**2 + 3*z + 4. Suppose 4*j = -n + 16, -j + 9 = -n - 0. Does 15 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2. Let o(v) = -25*v + 25*v + 3*v**2. Calculate o(b(g)).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/92)\/(-11)*15\/((-120)\/(-4)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-16 - (-9 + 14))*(3790\/(-6) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/((-4)\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/2 + 7*o**2 - 17*o. Let s(y) be the first derivative of g(y). List the prime factors of s(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 25, 30, 35, 40?\n\"Answer: 5*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43772160 and 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(21)\/sqrt(3)) + sqrt(3) + -5 + sqrt(15)\/sqrt(5) + 3.\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q + q**2 - 22764 + 69*q.\nAnswer: q**2 - 22764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/11 - 494*u**2\/11 + 3937100*u\/11 + 51261392\/11 = 0. Calculate u.\nAnswer: -1526, -13, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1487 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3717 by 28737.\nAnswer: 413\/3193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2747 + -30193\/11. Calculate the common denominator of w and 79\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cffe (base 16) in base 3?\nAnswer: 100100211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4394 and 3614?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -421*g + 3015 + 23929. Calculate the remainder when 1052 is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25*17\/(-340))\/(26\/24 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 29*f**2 - 60*f - 62. Let o be j(31). Let v(l) = 4*l - 6. Let b be v(-15). Let m = b - -333\/5. Is m at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2500775 divided by -95?\nAnswer: -500155\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79.4 - 90.08. Let k = 10.67992444 + r. What is k rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2889640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 q when four letters picked without replacement from mvyqvmeymyjmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 64. Solve d - 2 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60240 and 433728?\nAnswer: 2168640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/10)*r\/(r\/(r*r*r*r**8*r)))**(-1\/17) assuming r is positive.\nAnswer: r**(-123\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 16. Let k be 1 + 0 + 15\/v. Which is the third biggest value? (a) 0.5 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g - 5. Solve 4*n - 2*n = 3*t - 13, g*t = -4*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-222 + 3 - 2) - -5. Solve -b*a + 217*a - 33 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7613 from 2.08256.\nAnswer: -7610.91744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 161 + 5 - 2. What is the greatest common factor of s and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/492 and 151\/426324?\nAnswer: 17479284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1014483 + -8137177\/8. Let f = -2696 - -25. Let z = f - u. What is the common denominator of 18 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/466 - -4906\/2097. Let b = 3750 + -41204\/11. What is the common denominator of b and m?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 22*m**2 - 20*m - 20. Let h be w(21). Let q be 3*(4 - (-3 + h)). Calculate the highest common divisor of q and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011011111100111000 + 10100?\nAnswer: 10110011011111101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.41145 + 9.979. Let s = y + 0.424. What is s rounded to four dps?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17771890 to the nearest ten thousand.\nAnswer: 17770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*x + 11, 4*w + 320*x - 319*x = 5. Solve 4*c + w*l - 20 = 0, -7*l + 16 = -3*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**2 + 13*u**5 + 5*u**2 - 5 - 13*u**2 - 4 wrt u?\nAnswer: 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*u + 46 = -10, -3*b + 44 = -u. Calculate the common denominator of 71\/4 and (5\/3)\/(b\/(-33)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3528 - (-161)\/(-23))*(-4)\/(-14). Solve 0 = -z*k + 993*k + 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 119229144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-125)\/(-75))\/(1\/(4 - 3)). Which is the closest to -2? (a) -0.1 (b) l (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from raaaaarrrr.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 947444?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 14*l**2 + 12*l - 1. Let w be q(-13). Put -0.4, w, 5 in decreasing order.\nAnswer: w, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 22 = 5*t - 16, p + 15 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59966, -59986, -60042, -60152, -60334?\nAnswer: -60606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcd when three letters picked without replacement from {c: 2, t: 1, v: 2, g: 2, d: 2, z: 8}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4704 divided by -34?\nAnswer: -2352\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*4*(-18)\/(-24). Solve 5*m - 2*g = 3*m + p, 3*m - g - 17 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Let h = p - 3. Let u = -238 + 243. Which is the nearest to -0.1? (a) 1\/4 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**3 - 2*g - 1. Let d be c(-1). Suppose -3*m = -4*m + 27. Solve 2*p + 3*v + d = m, 3*v = -3*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(10)*-1*5)\/((sqrt(32)\/sqrt(4))\/sqrt(4)))*-4)**2.\nAnswer: -320*sqrt(5) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 23 - (11 - 84 - -76)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*m = -125, 2*g - 3*m - 41 = 49. Suppose j - 6 = -y + 3, -j = -5*y + g. Which is smaller: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -29.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37296337 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2133225*b**2 + 647293*b?\nAnswer: 4266450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 135176 (base 8) to base 12\nAnswer: 23766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 27*z**3 - 7*z**2 - 10*z - 3. Let m be x(-1). Let b = 1169 + m. List the prime factors of b.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37498 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -760882.325 minus 0?\nAnswer: -760882.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 28*l**3 - 36*l**3.\nAnswer: -62*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -667221 and 0.1162837937.\nAnswer: -667220.8837162063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from xxvxvxx?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k = -223. Is k - 1*((-1)\/(-1))\/1 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 - z - 2. Let g(w) = -29*w**2 + w + 5. Determine -9*f(s) - 4*g(s).\nAnswer: -10*s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(3) - (sqrt(3) - -4*((sqrt(3) - sqrt(243)) + sqrt(3))))**2 - 6*(sqrt(3)*-3*-6)**2*4.\nAnswer: -21591 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a**5 - 3*a**5 - a**5 + (282*a + 23*a**3 - 282*a)*(3*a**2 + 1 - 1).\nAnswer: 71*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 308*b**5 + 2*b**3 - 237*b**2 wrt b?\nAnswer: 18480*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 282*k + 2489. Give o(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299\/4 - -74. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.26 or -9?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2698 + -3?\nAnswer: 2695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1678\nAnswer: 1\/1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 7*k**2 + 7*k - 3. Let n(f) = f**3 - 7*f**2 + 7*f - 4. Let v(b) = -4*a(b) + 3*n(b). Is 10 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 8, -2\/11, 0 in ascending order.\nAnswer: -2\/11, 0, 0.08, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 69096666.\nAnswer: 1\/69096666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5 - 35\/(-25)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57511487 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + -2 + -3 + 1. Let z(d) be the first derivative of -3\/4*d**4 - 2*d + 0*d**3 + 0*d**2 - t. What is the first derivative of z(k) wrt k?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1524, -1528, -1532?\n\"Answer: -4*d - 1520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 j when four letters picked without replacement from bfhfhhhhfhjbjjfjfbh.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and 50137473?\nAnswer: -1002749460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-42) + (-162)\/(-14). Calculate the smallest common multiple of 18 and (7*j\/(-20))\/(3\/(-10)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8660 and 3970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j - 3*j)*(-48*j - 47*j + 8*j).\nAnswer: 435*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297*h**2 + h - 144*h**2 - 154*h**2 + 1 to k*h**2 + d*h + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*b - 3955 = -275*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:07 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ce - 13b?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**6*(v*v*v**7)\/v)\/(v*v\/v**(-3)*v*v)**(30\/7) assuming v is positive.\nAnswer: v**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54820\/44*14\/(-5). Let k = 3485 + s. Find the common denominator of k and (-2)\/(160\/71 + -2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**3 + 51*m**2 + 35*m + 70. List the prime factors of f(14).\nAnswer: 2, 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 3*r - 6*r)*(1 + 2 - 1)*(6*r**4 + 0*r**4 - 3*r**4).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13228275 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-14))\/(22\/(-8)). Let g = -11 + 6. What is the closest to 0 in g, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**1*b\/(b\/(b\/(((b*(b*b**(-13))\/b*b)\/b)\/b)*b))*b**12*b assuming b is positive.\nAnswer: b**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 7*f + 30 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/3*-2*1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -13. Let o be -7 + 9\/6 + 3\/6. Let l(z) = 6*z**2 + 28*z - 10. Let p be l(o). Solve p = -3*s - u + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*q**4 + 30069*q**3 + 6*q - 23886?\nAnswer: 624*q**2 + 180414*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22331 (base 4) to base 3\nAnswer: -221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 66*b + b**2 + 62*b - 188*b - 2 + 66*b. Give m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15790 - -379049\/24. Find the common denominator of g and 2 - 3\/(48\/(-140)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80112847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - y - 3, -k + y - 15 = 6*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -17*g + 75. Let h = -4228.5 - -4228. Which is the closest to -36? (a) g (b) -1\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-1\/3)\/w)\/w*w)**(-19)*(w**1*w)**(2\/29)*(w*w\/w**(-2\/7)*w*w**(-1))\/(w*w**(-2\/11)*w\/(w*w*w*w**(5\/3)*w*w)) assuming w is positive.\nAnswer: w**(-12046\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40034924, 40034928, 40034932, 40034936, 40034940, 40034944?\n\"Answer: 4*o + 40034920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-10 - (8 - 17))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -101101?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.032, 0.89, 4, -0.4, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205181148 - 205181148 + 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5468539 divided by 133379\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1029 divided by 166.\nAnswer: 1029\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 21*q + 1324. Give r(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 smaller than 10713832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1974)\/(-24) - 1\/4?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8452.56 nanograms to milligrams.\nAnswer: 0.00845256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(500) - (-1 + (sqrt(500) - (sqrt(500)*-1 + sqrt(500))))) + sqrt(500) + (sqrt(500)*2 + sqrt(500))**2 + 2)*5 + -3)*-4 + 3.\nAnswer: -89965 - 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/20 (b) 2\/3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-252))\/(1\/6). Let m = 2\/21 + g. What is the nearest to -3 in 2\/5, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82214 divided by -82214?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2057) + -1) + -3)**2.\nAnswer: -220*sqrt(17) + 8253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 12 + 406)*(-2*n**2 + n**2 - 5*n**2).\nAnswer: -2262*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 20. Let r = 64 - u. Suppose 4*m + 0*m - 24 = n, 3*m - r = -3*n. Calculate the least common multiple of 2 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 30*d - 35*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6738 and 3495899.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -797732.77807 - -797736. Round q to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2735632?\nAnswer: 2, 37, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 3147 - (36\/54 + (-46)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*y + 5*t, 2*y = 4*y - 3*t - 11. Let q(r) = -r**2 - 5*r - 3. Let o be q(y). Solve 5*s = 4*s + d, o*s = 2*d - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m + s + 615, -5*m - 3*s + 1510 = 0. Let f = 806 - m. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 - (-6)\/(-30). Which is the nearest to g? (a) 3\/4 (b) -0.09 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooootooootgho. Give prob of picking 1 t and 2 o.\nAnswer: 39\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*l**(-1)*(l*l**(-1\/3))**42*(l**1)**(-30)\/(l*l\/(l*l*l**(-3\/7))*l**(-5\/4)\/l*l) assuming l is positive.\nAnswer: l**(-173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*q**5 - 3666*q**4 + 4035*q**3 + 13980*q**2 - 17148*q + 2736 = 0. Calculate q.\nAnswer: -2, 4\/21, 1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-6\/13)*x**(-9) assuming x is positive.\nAnswer: x**(-110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvjvvvv.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or -174?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 295. Suppose 4*s + v - 23 = 0. Let t = 11 - s. Calculate the greatest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 11*i + 11*i + 0*i - 5*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.056 and 16.64.\nAnswer: 23.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (32 - 46) - 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**3 + 18*w**3 - 15*w**3 + 20*w**3 - 2*w**3.\nAnswer: 43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - -18) + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -5*b, 3*b = -0*h - 3*h + 15. Suppose -b*n = -4*n. Suppose 2*o + 2*o = n. Solve o = -3*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + -2 + 115 + (223 - (-22 + 230))?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 20*h + 80. Let b be p(15). Solve 297*r + b = 302*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 - 10*q**2 - 3*q**2 + 4*q**2 - 2*q**2 + (2*q + 5 - 5)*(-3*q + 4*q - 2*q) - 5*q**2 + 11*q - 11*q to the form i*q + a + t*q**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -h - 224, 5*x - 3*h = -0*h + 1114. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*x + 17, -5*a + 3*x + 12 = -2*a. Let u(i) be the second derivative of i**3\/3 - 5*i - 3. Determine u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5663395 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/36938 and -21\/6716.\nAnswer: 73876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/3, 233, 0.36633, -5?\nAnswer: 0.36633","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 4:52 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116232.9 nanometers to millimeters.\nAnswer: 0.1162329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**7\/70 - 27*d**6\/40 + 3*d**5\/20 + 83*d**4\/8 + 27*d**3 - 23*d**2 + 23. Factor z(m).\nAnswer: -3*(m - 2)*(m + 1)**2*(m + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 546, 2342, 5348, 9564, 14990, 21626, 29472?\n\"Answer: 605*z**2 - 19*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -1371, -2046, -2721, -3396?\nAnswer: -4071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -4, -23, 48, -1, -5 in decreasing order.\nAnswer: 48, -1, -4, -5, -23, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.6 to zero dps.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*u - 10285*l - 2614*u with respect to u.\nAnswer: -l - 2614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5159 + -143?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136 - -160. Let x be -1*(v\/8)\/(9\/(-6)). Let c = -32.26 - -32. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80915 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**2 - 4*g + 2. Let o(q) = 6 + 5*q - q - 2*q + q. Let p = 2188 + -2181. Determine p*n(a) + 5*o(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10984 is divided by 2158.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - 1.84. Which is the smallest value? (a) 0 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301 + -295. Factor 22*f + 6*f - 38 + 14*f - i*f + 2*f**2.\nAnswer: 2*(f - 1)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 3*i - 5*c + 231, 0 = -5*i - 4*c - 385. What are the prime factors of 1 + (2 - 4 - i - -2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16\/57 - 308\/285. Let x = -0.01 + 0. Which is the second smallest value? (a) -1 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828352 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phchl. Give prob of sequence cp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 4*u**7\/735 - u**6\/4 + 223*u**5\/105 + 1165*u**4\/28 - 300*u**3\/7 - 295*u**2. Suppose t(x) = 0. Calculate x.\nAnswer: -4, 1\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-2)\/sqrt(10) - (sqrt(352) - (sqrt(352) + sqrt(352)*3)))\/(-1*(sqrt(1584) - (sqrt(1584) - 1*sqrt(1584)) - sqrt(1584) - sqrt(1584))*3).\nAnswer: 5*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(147)*1.\nAnswer: 2 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7667460929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7563.\nAnswer: 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/28 + 26\/8. Solve -z = -x + 4*j, 4*j + 1 = 2*x + 3*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - w)*(w - 2 + 2) + (4 - 4 + 2*w)*(-7*w + 6*w - 4*w)*(0 + 0 - 2) to x*w + m + t*w**2 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -18.523\nAnswer: -9.2615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3148 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Let d(s) be the third derivative of -7*s**6\/720 + 29*s**4\/24 - 17*s**2. Let p(b) be the second derivative of d(b). Give c(p(w)).\nAnswer: 196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2254 + 2863. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + (-3 - -2) + -3. Let p = h + 9. What are the prime factors of 231\/4 - p\/16?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. Let f be (u - -1)\/(3 + -4). Let g(z) = -6*z**3 + 1. Calculate g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27759 and 171.\nAnswer: 83277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5 + 530*a**4 - 21451*a**3 + 249670*a**2 - 628100*a - 2435000 = 0. What is a?\nAnswer: -2, 10, 25, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/22 and -97\/216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/(-14) - (-2)\/7. Solve -3*r - 5 = 2*w, 3*w + 0*w - n*r = 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.17 and 33.7.\nAnswer: 33.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1352960*j**2 - 334413*j?\nAnswer: 2705920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 - 144 = 9*z - 287. Solve 0 = 9*u + z - 36 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -2*b - 5*c + 20, 0 = -4*b + 5*c - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-9 - -2 - (-1 + (-2 - 8))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -20*p + 11*p + 10*p + 2. Give i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -1.97. Let j = -0.4 - -5.4. Let f = 11.9 - 12. What is the closest to f in j, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c - c**2)*(-c + 1 - 1) - 10*c**2 - 9*c**3 + 10*c**2 - 6*c**3 - c**3 + 4*c**3 to y + m*c**2 + v*c**3 + p*c and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 + 169 - (0 + -38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-24)\/(-9))\/(-4))\/(-2). Let c = -0.05 + -0.05. Let p = 0.4623 - 0.7623. What is the nearest to c in p, 2.7, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.5. Let k = 5.05 - 0.05. Sort -5, k, d in descending order.\nAnswer: k, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9 and 72.27014.\nAnswer: 209.583406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 95. Suppose 0*g + 3*g = 0. Suppose g = -0*s + s. Is c(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 - 15 - 10*b - 30*b**2 + 4*b**3 + 1 - 2. Is q(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245997 (base 12) in base 14?\nAnswer: -11537d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f - 16. Let o be (-4)\/(f\/74) - 1. Solve 11 = 5*k + o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1)**2*-5*-2*2 + -1*(0 + sqrt(180))**2 + (sqrt(180) - (sqrt(180) - (sqrt(180) + (sqrt(180) + 0)*-3)**2)).\nAnswer: -240*sqrt(5) + 4160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 - 2.62. Let d = -0.169566501 + -2.340435989. Let a = d - c. What is a rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2015*b**2 + 5657*b - 3273584. Determine g(2017).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*v + 139, -2*v = -2*f - 2*f + 66. Let r = 1308 + -1354. Let s = v - r. Solve -i + s - 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 3343787*i + 30094002.\nAnswer: (i + 9)*(i + 3343778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*c - 22, d = -4*c - 7 + 17. Solve 3 = -2*h - p, 4*h + 11*p = 10*p - c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 746249?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 + 5*g + 2. Let l be m(4). Suppose 3*j + 4*a - l = 0, -2*j + 0*a + 33 = -a. Let y be j\/(-35) + 8\/70. Is y > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1044602l?\nAnswer: 104.4602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -10) + -2 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 898 - 668. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3337)\/10011)\/(((-3)\/35)\/(10\/25))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/7 - 4*o\/7 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/3)*p\/(p\/(p**(-2\/3)\/p))*p)**12*p**1*p**(-1\/10)*p*(p**(2\/3))**(-39) assuming p is positive.\nAnswer: p**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5159224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(468)\/(sqrt(12) + sqrt(12) + sqrt(108) + sqrt(12)))\/(((sqrt(96) + sqrt(6))*-6)\/sqrt(2)).\nAnswer: sqrt(13)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5 + 10. Suppose 10 = -0*y - y - 5*i, q*i + 10 = 0. Which is the third smallest value? (a) 2\/7 (b) 0.6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a factor of 716139528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 575007740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 5 (c) 0 (d) 3 (e) 434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/6*(-150)\/20. Let f(k) = k - 8. Let t be f(a). Factor n**3 + 0 - 1\/2*n**4 - 1\/2*n**t + 0*n.\nAnswer: -n**2*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 54. Let n be 4 + z\/(-2) - (-1 + 3). Suppose -q + n*g - 2*g + 122 = 0, -3*q - 2*g = -351. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2768 is divided by 2435.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 5 + 3*l**3 - 3*l**3 - 11*l. Let m(s) = 2*s**3 - 11*s + 5. Let c(v) = -2*b(v) + 3*m(v). Let f(d) = -d**3 + 6*d - 3. Give -4*c(k) - 7*f(k).\nAnswer: -k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.59*4.\nAnswer: -18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 2) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 2}. Give prob of sequence eyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.4. Let v = 1.14 - 1.54. What is the biggest value in 5, w, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 5. Let g be f(5). Let a be (21\/2)\/((-5)\/g). Is (-145)\/(-7) + (-6)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/5*(-10)\/4. Suppose 0 = -5*s - 13 + 43. What is the units digit of 1\/((s\/10)\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 3\/8, 15.8, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -28, -87, -202, -391?\n\"Answer: -3*k**3 - k**2 + 3*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 - 87. Suppose 3*q - 5 = k. Let i = -9 + q. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 17 + 23. Let g = b + 17. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + -10 + (5 - 1). Let z(s) = -10 + 19*s**2 + 3*s**3 - 32*s**2 - 3*s**q - s**3 - 13*s. Let g be z(-12). Solve -1 - 3 = -g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.9 (b) 4 (c) 2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 23*y**2 + 2*y. Let o be ((-2)\/(-2))\/(26\/416). Suppose 2*u - 7*u = 5*x - 15, -4*x + 3*u - o = 0. Is 2 a factor of b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*h = -0*h - 12, 31 = 3*w + 4*h. Suppose -w*x + v = 2*v - 11, x + 2*v - 4 = 0. Find the third derivative of f**x - 2*f**3 + f**3 + f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -6*i**4 - 9*i - 39. What is the first derivative of k(r) wrt r?\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 861 and 9072.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144631, -289265, -433903, -578545, -723191, -867841?\nAnswer: -1012495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4)*2)\/sqrt(4) - 2*(-4*sqrt(567))**2.\nAnswer: -18144 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let u(s) = -750663*s**2. Give j(u(y)).\nAnswer: -563494939569*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 580924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-6) + 6\/(-9). Let f be g\/(-6) - 13\/(-3). Suppose f*p - 446604 - 1673396 = 0. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-472)\/2)\/(11\/(11 + -22)) is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -3287*y**5\/60 - 560*y**4\/3 - 5750*y**2. What is the second derivative of c(v) wrt v?\nAnswer: -6574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*(246 + -242).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*q**2 + 363 + 117*q**2 + 10*q**4 + 73 + q**4 wrt q.\nAnswer: 44*q**3 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-three fifths of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -889 + 2684. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105656 or 105657?\nAnswer: 105657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562976.\nAnswer: 2, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 3*q. Suppose 5*k = 4*g + q*k - 43, 5*k = -g + 5. Let r = 405 + -356. Calculate the smallest common multiple of g and r.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0501386 decades to years.\nAnswer: 0.501386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8119.0007619 - 8119. What is s rounded to five dps?\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6, z: 2, q: 9}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -286199 + 406518. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 2*x - 35. Suppose -22*y - 513 + 381 = 0. Give a(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1574562514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1425 and 157\/1077300?\nAnswer: 1077300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minus -841493166.332?\nAnswer: 841493233.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 8) to base 6.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24631, 49265, 73899, 98533, 123167?\n\"Answer: 24634*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 3 + (2 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.1791 meters to nanometers.\nAnswer: 4179100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1727854 nanometers to micrometers.\nAnswer: 0.0001727854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*g + 51, -6*a - 57 = -5*g - 2*a. Suppose 0 = g*u - 69 - 471. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 697, 689, 681, 673?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 y when four letters picked without replacement from kkkukuuouykzykok.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(2\/39)\/s)\/s)**17*(s**(-8)*s)**(3\/4) assuming s is positive.\nAnswer: s**(-3335\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4497, 8989, 13481?\n\"Answer: 4492*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1882*v**3 - 2296*v**2 wrt v?\nAnswer: 11292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-12))\/((-2)\/(-12))*-1. Let n = t + 15. Calculate the remainder when 84 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/(l\/((l\/l**(-5))\/l)))\/l)\/l*l**0)**(1\/32))**(23\/3) assuming l is positive.\nAnswer: l**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199637 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 7*a**5\/60 + 7*a**4\/4 + 2*a**3 + 26*a**2. Is v(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2252 - 24743\/11. Let i = 19098\/5965 + -2\/1193. Find the common denominator of v and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -7*f**4\/24 - f**2. Let a(w) = -26 + 2*w + 26 - 3*w. What is a(y(r))?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 6 = 405*y - 407*y, -53 = 5*w + 3*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 175\/800*(-41)\/((-1435)\/60)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-834)\/(-54) - 16)*(-2)\/(-5). Which is the closest to -2\/5? (a) -2 (b) -15 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4383 by -9.\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 3*r = 177, -323 = 5*q + 2*r. Is q smaller than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 2*q)*(302 + 284 - 449) + q + 0*q - 4*q.\nAnswer: 134*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2. Let j(x) be the first derivative of -7\/2*x**2 + 0*x - 9. Determine j(c(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*h - 23 = 2*h, -2*h = 4*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, -0.3, 1\/2, 0.04, -2\/757?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 + -1.9. Let x = 2 + 5. Suppose 0 = -5*m + 2*t + x, 0*t = m - 3*t - 4. Which is the third biggest value? (a) m (b) y (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1186 - -1185.8. Suppose o + 5*s = -0*s + 14, -5*s = -15. Let m be -1*(-5)\/7 + o. Which is greater: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t + 3*t. Let i be ((-196)\/(-16))\/7 + -2. Which is the second smallest value? (a) i (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -22 - 65. Let v = -29 + r. Solve -4*x - 2*p + 14 - 4 = 0, v = -x + 2*p + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*i - 5*g, 2*i + 4 - 55 = 5*g. Solve -65 = 31*s + i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565602954 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 47*n. Let r(l) = 4*l**2 - 9*l - 9. Let w(x) = -2*x**2 + 4*x + 4. Let y(d) = 4*r(d) + 9*w(d). Calculate y(t(p)).\nAnswer: -4418*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10*n - i = 1658, -n - 5*i = -316. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**7\/420 + n**6\/480 + n**5\/48 + n**4\/48 - 13*n**2\/2 - 23*n. Let k(p) be the first derivative of y(p). Factor k(z).\nAnswer: -z*(z - 2)*(z + 1)*(2*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029536 rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 77289.72 months?\nAnswer: 6.44081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79459097.\nAnswer: 271, 293207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let r(a) = a - 32. Let y(g) = -3*b(g) + r(g). Let n be y(-17). Solve -2*s + i - 8 = -2*i, -n*i + 9 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 10}. Give prob of sequence zzzc.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -526654 at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -20, -3, 0.11, 1.1, 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*t - 4*i, -5*t + 455*i + 26 = 453*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 r, and 1 n when three letters picked without replacement from rmqpmnln.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491 divided by 524.\nAnswer: -491\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*b**6 + 2*b**3 + 151*b**2 wrt b?\nAnswer: 2040*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + 150*g - 239. Calculate the remainder when 218 is divided by w(48).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 81*g + 927. Calculate b(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005963269 rounded to seven dps?\nAnswer: -0.0005963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4027?\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 8:28 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2512?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195827 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1514228 and 73\/168516.\nAnswer: 422469612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.572 (b) -3 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -49. Let x be -2 - (4 - (-66)\/(-12)). Is x at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, e: 3, k: 4, q: 2}. Give prob of picking 2 m and 2 q.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/2 + 2\/4. Let i(t) = -3*t**3 + 2*t**2 - 2. Let d be i(-2). Suppose 5*h = d + s. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.935281 to 3 dps.\nAnswer: -4.935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1 + a - 1 + 3. Let g be 1\/(0 - (-5)\/(-10)). Determine s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -252123330?\nAnswer: -252123323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 - 120*p**4 - 1250*p**3 - 1000*p**2 + 1245*p + 1120 = 0 for p.\nAnswer: -7, -1, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6)*(q + 0*q + 2*q) + (1 - 1 + 2*q)*(-3 + 0 + 1).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4 - 1166050*m**3 + 1121028*m**2.\nAnswer: -48*m - 6996300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10260\/405)\/(3 + 28\/(-12)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.111 + 0.389. Let s = -267 + 1873\/7. What is the smallest value in z, -3, s, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 5*n, n + 0*n - 4*b = -8. Suppose 0*l + 5*l = n. Suppose l = -3*d - 0*d + 27. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-5) + 126\/30. Let o be 718\/8 + (42\/(-24))\/(-7). Let g be (30\/(-18))\/((-25)\/o). Is g smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3993))\/sqrt(11).\nAnswer: 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217992006?\nAnswer: 2, 3, 4036889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58882 or -58881?\nAnswer: -58882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27270, 54541, 81814, 109089, 136366?\n\"Answer: c**2 + 27268*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2425 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-95))\/(((-15)\/(-50))\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -235524 at most as big as -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let n be -4 + -1 + 0 + t. Let w = n - -8. Are 2 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 21*d + 28. What is m(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 155*c. Let a(f) = -4*f**2 - f + 1. Let y(v) = 0*v**2 - 3*v - 7*v**2 - 6*v**2 + 2 + 1. Let q(h) = 3*a(h) - y(h). What is q(s(k))?\nAnswer: 24025*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:35 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/11 - 168*r**2\/11.\nAnswer: 2*r**2*(r - 84)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36332.\nAnswer: 2, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/29)*z*z)\/z)**22 assuming z is positive.\nAnswer: z**(682\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 2. Let u(x) = -5 - 8*x**2 - 11*x + 13*x + 13*x**2. Is u(v) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*z - 6*j + 1777, 4*j - 1208 = -2*z. Suppose 3*i - 5*b = 769, 403 = 4*i - b - z. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 8:09 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 42663*k + 42640. What is d(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnf when three letters picked without replacement from nnnnnfnfnnwwn?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - f**2 - 8)*(-3*f**3 + 5*f**3 + 3*f**3).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115688002*c**4 + 2*c**2 - 124123187*c wrt c.\nAnswer: 2776512048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920201340.\nAnswer: 2, 3, 5, 15336689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -580, -2311, -5200, -9247, -14452, -20815?\nAnswer: -28336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946 (base 11) in base 7?\nAnswer: 10126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**2*p**3 - 3*j**2*p**2 - 239*j**2*p wrt p?\nAnswer: -24*j**2*p - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -632 + 972. Let z be (l\/16)\/(1\/4) + 3. Let t = z - -4. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(99)*-2 + 0 + sqrt(275) + sqrt(539) + -1*sqrt(539).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/368 and 21\/88.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -140. Suppose 0 = -16*j + 8*j + i + 50, 3*j - 10 = -4*i. What is the greatest common divisor of j and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*c + 168. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Suppose 3 = -4*w + 5*w. Let u = w + g. Solve u = -2*j - 2*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 795. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 17684?\nAnswer: 53052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 300417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from lovjojjvjl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 2, z: 1, x: 6}. What is prob of sequence xo?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/105*(15\/(-8) - -3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrrrrrbbrrbr. What is prob of picking 2 r?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 14. Let z be i(7). Suppose 16 = a + 11. Are a and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**2. Let d(z) = -10*z**2. Calculate -3*d(t) + 2*n(t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 13. Let w be q(-13). Suppose -6*s + s + 20 = w, 5*s - 17 = l. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26250000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(66)\/sqrt(11)) + sqrt(2016)*3 + sqrt(2016))\/(sqrt(72)*3 + 4*(sqrt(2) + sqrt(200) + sqrt(2))).\nAnswer: 49*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17. Let c(g) = 21. Let a = -188 + 193. Let v(z) = a*x(z) + 4*c(z). Let k = 2 - 1. Let p(q) = -q + 2. Calculate k*p(s) - v(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 6:57 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1044098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2860507 + 0?\nAnswer: -2860507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 39\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((17\/(-340))\/((-12)\/(-20)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001402616 rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 * 50\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*o = 20, -10 = k + o + o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292765 - -1.5?\nAnswer: 1292766.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:12 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*l - 6, -4*l = -2*a + 515 - 501. Let x(f) = -f**2 - 26*f. Let j(z) = -2*z**2 - 52*z - 1. Calculate l*j(t) + 5*x(t).\nAnswer: -t**2 - 26*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 - 2*k. Let y be u(-2). Let m = y + 22. Calculate the greatest common factor of 30 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5 = 0, -23*w + 15211 = -19*w - j. Is (w*-1)\/((-1)\/(3\/3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085464 divided by -2252?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*z + 243*z - 100*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j + 18. Give a(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165*0.7.\nAnswer: -115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 6. Let x be g(11). Let u be -4*4\/x*0. Factor -4\/5*z**3 + 2\/5*z**4 + 4\/5*z + u*z**2 - 2\/5.\nAnswer: 2*(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 0*z + 11*z)*(-4*z**2 + 4*z**2 - 3*z**2).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -10837521.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 11 - 13 = 0. Let o be (1 + -17)*3\/h. Let n(x) = x**2 - 4*x - 10. What is the remainder when 65 is divided by n(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14008944 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.1338 + -33.17. Let i = o + -0.2656. Let l = i - -1.3. What is l rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (28 - 22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-243*r**2 + 121*r**2 + 121*r**2 - 701)*(-1 - 2 + 2) as c*r + a + t*r**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by 247.\nAnswer: -137\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24165355939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d - 5. Let t be u(1). Suppose 51 = t*f + 121. Are f and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 5, 79, 0.48.\nAnswer: 2\/23, 0.48, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0 - 1\/120*f**6 + 5\/3*f**3 + 1\/10*f**5 + 5\/24*f**4 + 0*f + 8*f**2. Calculate v(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 - 116 - 39*b**2 - 151 + 28*b**2.\nAnswer: -66*b**2 - 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201333232023 (base 4) to base 9.\nAnswer: 17682560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67258.5795ms to weeks.\nAnswer: 0.00011120796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 - -76.83. Let p = 0.1699807 + t. What is p rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 1 = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*c - 27*c + 22*c as a + x*c and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*z - 47*z**2 + 45*z**2 + 3*z - 9*z.\nAnswer: -2*z**2 + 123*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from pqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9590\/822*(-3)\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*a = -12, q - 26 = -2*q - 4*a. Suppose -q*t = -3*t - 396. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322166 is divided by 8006.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, -1, 18, -2, 67 in descending order.\nAnswer: 67, 18, 5, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = 7. Let z = 16 - 11. Which is the biggest value? (a) m (b) z (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2764 or -2778?\nAnswer: -2764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8.4, 4, -1, 3\/8, -6, -4.261?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -453\/175 - 2\/175. Is 1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 + 28*o**3 - 36*o**2 - 28*o + 32 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16309185 bigger than 16309185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 2 (b) -3259 (c) -0.42 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-6)*81\/(-54). Suppose 10*n = 13*n - 45. Suppose -6*h = -h + n. Sort h, 0, u, 7.\nAnswer: h, 0, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1399 - -1408) + (-14 - 0\/(-1)) + 1 + 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1739*w**2. Let y(h) = 41*h + 36*h - 146*h + 34*h + 38*h. What is y(k(f))?\nAnswer: -5217*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122094 - 15761. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t - 10. Suppose -t*b - 6 + 20 = 0. Does 14 divide b\/((-21)\/(-6))*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2163508*m + 2607441?\nAnswer: 2163508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2*b - 3*k + 13 = 2*k, -4*b - 5*k + 8215 = 8166 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 973960961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/291 and 5\/(-60)*-9 - 3112\/480?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n + 249 + 116 = 55 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6628 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 7*m - 387*m**3 + 388*m**3 + 20*m to y*m**2 + b*m + v + f*m**3 and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/7, -2\/55, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 28*s + 156. Let r be m(7). Solve -y - 4*k = r, 27 = 2*y - 4*k + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24242 and 680782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 10 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.1, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -85. Let s(n) be the third derivative of -n**6\/120 + 11*n**5\/60 + n**4\/3 - 2*n**3 + 49*n**2. What are the prime factors of s(z)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(17) + (sqrt(17) - -3*(3 + sqrt(17))) - (sqrt(17) - (sqrt(17) - sqrt(153)\/sqrt(144)))))**2.\nAnswer: 1368*sqrt(17) + 7433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012020 (base 3) to base 8.\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -201033.266 to the nearest 1000.\nAnswer: -201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -987 - -6.\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*13*13\/(-676).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1608649, -1608580, -1608473, -1608334, -1608169, -1607984?\n\"Answer: -t**3 + 25*t**2 + t - 1608674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/11)\/j*j*j**17\/j)**(-3\/29) assuming j is positive.\nAnswer: j**(-510\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 11)*1*2570\/(-24). Let b = w - -957. What is the common denominator of -69\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*(-7)\/(-28))\/(51\/(-10)). Is x at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + r + 2. Let w(b) = 106*b**2 - 2*b - 14. Let v(i) = 10*q(i) + w(i). Is v(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.5, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -393 + 123. Does 10 divide 10\/((-3)\/(s\/3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (1*sqrt(700) - sqrt(700)))**2 + 0 + 5.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-12)*(-2)\/(-16)*18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v = 4. What is the remainder when 24 is divided by -13*(v\/2)\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -56*r**5 + 100*r**4 - 78*r**3 - 34*r**2 - 34*r. Let v(a) = 5*a**5 - 9*a**4 + 7*a**3 + 3*a**2 + 3*a. Let f(j) = -6*l(j) - 68*v(j). Factor f(c).\nAnswer: -4*c**3*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21133333122 (base 4) in base 2?\nAnswer: -1001011111111111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 62 = 8. Let v be z\/5 - 12\/(-30). Solve -v = 2*b + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 8*l = -24*l + 15*l - 8, -2*l + 14 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*u = 55, u + 43 = -4*q + 2*u. Let t(p) be the second derivative of -p**3\/6 - 5*p**2 + 191*p. Give t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136601220?\nAnswer: 2, 3, 5, 7, 97, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 5*r + 19*r**4 + 24*r**4)*(-1 - 2 + 1) + 18*r**4 - 77*r**4 + 17*r**4 as h + f*r**3 + d*r + g*r**4 + q*r**2 and give g.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*p - 15 = 0, 3*i + 5*p = 31 + 9. Suppose -2*y + 3 + 3 = 0, -4*y + 112 = -i*k. Let r = -12 - k. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50.9 - 51. Let d = 315 + -5353\/17. What is the fourth smallest value in d, 2, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/17 - 99838868*n\/17 - 99838866\/17.\nAnswer: -2*(n + 1)*(n + 49919433)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -379\/3 + 126. Let s(a) be the second derivative of -a**5\/20 - a**4\/2 - a**3\/6 - 9*a**2\/2 + 23*a. Let p be s(-6). What is the closest to c in 1\/2, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8005988?\nAnswer: 2, 41, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40218872 and 240?\nAnswer: 1206566160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4202, 5306\/25, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1382327, 1382330, 1382333, 1382336, 1382339?\nAnswer: 1382342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63288.21 years?\nAnswer: 63.28821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/5 - 32*f**3\/5 - 84*f**2\/5 + 272*f\/5 - 154\/5 = 0.\nAnswer: -11, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*w**3 - 455*w**2 - 585*w - 145.\nAnswer: -5*(w + 1)*(w + 29)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q = 22*q. Solve q = 12*h - 48*h + 36 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54144760 a multiple of 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.0663 - 0.0337. Let o = 12 - 6. Let p = o + l. Which is bigger: p or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 36 = -3*k, 2*k + 53 = 4*v + 7*k. Which is greater: v or 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 - (-18)\/(-10)). Suppose 3*n - 11 - 31 = 0. Calculate the smallest common multiple of (1 - 0)*(1 - m) and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -19*k + 8. Suppose -3*n - 4*c - 3 = 0, -2*n + 14*c + 18 = 10*c. Let p(j) = 6*j - 3. Calculate n*w(i) + 8*p(i).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29317761579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*v + 196, 2*l - l - 64 = 2*v. Find the third derivative of 2188 - 34*k**2 + 8*k**2 - 2188 - l*k**4 wrt k.\nAnswer: -1296*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 1570427 * 42.\nAnswer: 65957934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/7 + 5062*c**4\/7 + 3401480*c**3\/7 + 245663496*c**2\/7 - 1853331840*c\/7 + 2696716800\/7 = 0.\nAnswer: -1224, -90, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/7 - 486*h**3\/7 + 19104*h**2\/7 - 17656*h\/7 - 37248\/7 = 0?\nAnswer: -1, 2, 48, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 - -104. Suppose 4*o + z = 25. Suppose s + 1 = -l, o*s = 6*s - l - 4. Solve 0*k = 4*p + 3*k + s, 0 = -4*p + 5*k - 41 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 133.5\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/18)\/(2\/32). What is the remainder when 35 is divided by j*(-12)\/8*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:31 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150400 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37215*a**2*f**4 + 38*a**2*f**3 - 82*a**2*f**2 + 3675*a*f**2 wrt f.\nAnswer: -893160*a**2*f + 228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (-2 - (-14 - (-1 + 1))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.00177 - 440.59823. What is r rounded to the nearest ten?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8656 or 8657?\nAnswer: 8657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = m, -5*w - 6*m = -m - 5. Suppose -2*s + 7 = t, t + t + w*s - 16 = 0. Let a = 12 - 7. Sort -4, a, t.\nAnswer: -4, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 minus -0.31?\nAnswer: 0.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-104.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(11\/6)\/(-11). Let c(k) be the third derivative of 0 + 2*k**2 - 3\/4*k**4 + f*k**3 + 0*k + 7\/30*k**5. Factor c(i).\nAnswer: 2*(i - 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2078 and 408?\nAnswer: 423912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) 0.1 (c) 5 (d) -2\/19 (e) 0.0581\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 5*m + 4. Let w be b(-3). Let r = w + 5. Let g be 2\/r - (-30)\/(-18). Sort -4, g, -2.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -846, -1290, -1734?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102972, -205530, -308088?\nAnswer: -410646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b63a (base 12) in base 11?\nAnswer: -56780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -6. Calculate the remainder when 10 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9. Let y(f) = 3*f - 855. Give -4*l(n) - y(n).\nAnswer: -3*n + 819","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Let y = 66 - 61. Suppose -3*x + 33 + y = 5*z, -3*z = -5*x - 50. Solve z = -2*c, 3*c = 2*v - l*v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 41 + 7 + 216*q**4 - 62 + 3*q to y*q**3 + w*q**2 + n + g*q**4 + i*q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 53?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 110, 79, 16, -85, -230?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(17)*-1)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11608.319 minus 711.733?\nAnswer: 10896.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 70*j**5 + 23*j**5 - 15*j**5 + (j + 4*j**3 + j**3 - 3*j**3)*(2 + 2 + 2*j**2 - 3).\nAnswer: 82*j**5 + 4*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.75 + -9.07. Sort -5, -3, n.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b + 23. Let c(k) = -4153*k**2 + 4*k + 91. Give c(p) - 4*i(p).\nAnswer: -4157*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 120. Calculate h(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -766, -732, -680, -604, -498?\n\"Answer: w**3 + 3*w**2 + 18*w - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 1.014.\nAnswer: 0.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - 0 - (460 + -488)) + -1 + -67?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 48*h**2 - 47*h - 4676. Give u(-49).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1585 + 9823\/6340. What is the common denominator of 55\/14 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**38\/(d**(-1\/6)\/((d**(1\/14)\/d*d*d)\/d)) assuming d is positive.\nAnswer: d**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -273139 (base 10) in base 12?\nAnswer: -112097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 167507938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**6\/6 - 101*i**5\/30 + 5*i**4\/6 + 12*i**2 + 45*i. Factor u(y).\nAnswer: 2*y*(y - 10)*(10*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvttvosdors. Give prob of sequence vv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x - 2. Let g(y) = -2*y**2 + 1. Let c(z) = -3*g(z) - 2*s(z). Let l(w) = -5*w + 233. Let k be l(45). What is the tens digit of c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let r = h + 0. Solve 0 = -5*k + 3*f + 6, 0 = -r*f + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/57))\/s)**(-4\/15)*s\/(s\/(s*s\/(s\/(s*s\/(s\/(s**(-5\/8)\/s))))))*s*s*s**36*s*s assuming s is positive.\nAnswer: s**(276101\/6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 343 - 9 = 0. Let g = w + -176. Let x = 3.2 + -3. Which is the closest to x? (a) -0.1 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaajnanjaj. What is prob of picking 2 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*x, 3524*l - 3533*l - 9 = -9*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*z**2 + 3*z**4 + 19*z**2)*(0 - 5 + 1)*(13*z - 829 + 829).\nAnswer: -156*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**1))\/(n*n*n**(2\/37)) assuming n is positive.\nAnswer: n**(-39\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 84*u - 40*u - 44*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + -1 - (-17 + 16) - (-482 + 495) - 8?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12698 (base 12) to base 15.\nAnswer: 76d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-396)\/(-10))\/((-279)\/(57195\/82))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.4 + 14.5. What is w rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 5*i - 4. Let b(r) = r**2 - 5*r + 5. Let g(p) = 2*b(p) + 3*x(p). List the prime factors of g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k + 327. Let q(a) = -a - 3. Calculate the least common multiple of v(-29) and q(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -5, 7 in ascending order.\nAnswer: -5, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.99 * 7869\nAnswer: -47135.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1 times -78?\nAnswer: -2035.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 189 + 189 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 17*p**2 + 22*p - 110. Let n be b(7). Suppose -n - 132 = -3*i. What are the prime factors of i?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1392, -2801, -4210, -5619, -7028?\n\"Answer: -1409*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/420 - f**4\/56 + 2*f**3\/21 - f**2. Determine a so that b(a) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*l - 75*l - 78*l + l**3 + 128 - l**4 as i*l**2 + j*l + g*l**3 + a*l**4 + p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 291863 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121645403*a**3 + 335690916*a**2 wrt a.\nAnswer: -729872418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/(d\/d**(-12)))\/((d*d**(1\/26))\/((d\/d**26)\/d)) assuming d is positive.\nAnswer: d**(-781\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - o = 7, o + 2 = -2*i + 5*o. Suppose -a = i*a - 4*x - 36, 0 = a + 3*x - 13. What is the greatest common factor of a and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + ((-1)\/(-1) - (4 - 8)). Suppose -g*m + 538 = -4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, q: 3, p: 1}. What is prob of sequence jjp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 + 79 = -2*s. Suppose -2*h = -5*z - 65, -z - s = -4*h - 0*z. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -146, -220, -386, -674, -1114, -1736?\n\"Answer: -5*p**3 - 16*p**2 + 9*p - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from llqqqqlwlq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by -5615.\nAnswer: 237\/5615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m**3 + 167*m**3 + 11*m**3.\nAnswer: 227*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = i + i. Let j be 0 + (-19)\/4 - 124\/i. Which is the smallest value? (a) -2\/3 (b) j (c) -4\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdk when three letters picked without replacement from dzpdpkddzz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75952, -152262, -228582, -304912, -381252?\nAnswer: -457602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p + 1. Let l(o) be the second derivative of -5*o**4\/12 - o**3\/2 + 3*o**2\/2 - 4*o. Determine -3*b(j) + l(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2435829 + -5?\nAnswer: -2435834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-3 - -6) - 3. Let f(z) = z**3 - 5*z**2 - 2*z. Let o be f(4). List the prime factors of (-1 - o)*(s + 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 - (16 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1398 + -14003\/10. Let o = -122018 - -485133\/4. Let t = o + 715. What is the common denominator of t and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - 110\/6. Let d = -11 - l. Let g = -65 - -153. What is the greatest common factor of g and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -11. Suppose -x + 2*x = 0. Suppose -d + x*d + h = 0. What is the remainder when 9 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178 times -0.08\nAnswer: 14.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Let m(w) be the second derivative of w**6\/720 - w**4\/12 + w. Let r(o) be the third derivative of m(o). Calculate j(r(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 5*b - 68880. What are the prime factors of b\/(-13) + (56\/(-91))\/(-4)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52088550, -52088541, -52088532?\nAnswer: -52088523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 877976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*t + 3, -30*t + 4 = -5*d - 31*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 5*t**2 + 3*t + 3. What is the remainder when s(4) is divided by ((1 + 1)*-1)\/(80\/(-680))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 11:33 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.871 - 0.229. What is d rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 61, 92, 123, 154?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**4 + 7 + 35*j**4 - 8*j**4 - 5 + 44*j**2 wrt j.\nAnswer: 768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -127.\nAnswer: 13\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -285, 14, 6, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3629 + 18208\/5. Let q = -1\/1182 + 19309\/3546. Calculate the common denominator of q and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3660 divided by -610\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:59 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 931224220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44226796 divided by 11056699?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 4\/5, 7\/3, 0.2, 0, -1\/4.\nAnswer: -1\/4, 0, 0.2, 4\/5, 7\/3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 51*b + 4. Let u(v) = 5*v**2 - 51*v + 3. What is 3*k(z) - 4*u(z)?\nAnswer: -2*z**2 + 51*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 23, -6 in increasing order.\nAnswer: -6, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Suppose -4*t + 7*t = h. Let v = -4 - -3. Sort t, 3, v.\nAnswer: v, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14)*(-924)\/((-66)\/3)*(-4382)\/939?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 0, 11, 24, 39, 56?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 5*g)*(-3 + 3 + 2) + 11*g - 6*g - 18*g - 36*g.\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14338 is divided by 182.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 32 - 2. Suppose 0 = 9*n - 22*n + 65. Find the first derivative of 13*z + n - 10 - x wrt z.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 752.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 4, -7, -34, -83, -160, -271?\n\"Answer: -s**3 + s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1040 + 1046. Let f be ((-4)\/40)\/(5\/(-20)). Which is the closest to m? (a) f (b) 0.7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (5 + -1)) + 4 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from {u: 2, i: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6 - ((15 - -2) + -2)) + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 35. Let t = -89 - -106. Let f be p(t). Suppose -14*s = -f*s + 200. Calculate the greatest common divisor of s and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 6*p**2 - 5*p. Let k be v(-5). Let s(d) = d**3 - d**2 - 2. Suppose 2*t - t = 0. Let q be s(t). Sort k, q, 5 in increasing order.\nAnswer: q, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1287 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89304873, 89304880, 89304887?\nAnswer: 89304894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 6. Let z be t(-5). Suppose -3*s + 0*o + 27 = -5*o, z*s - 31 = 5*o. Suppose -s*u - 9 = -7*u. Solve 0 = u*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(125*n**2 - 168*n**2 - 361*n**2).\nAnswer: -808*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 times -45441\nAnswer: -1136.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -44 - (2 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 60, -227, -516, -807, -1100?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1492*m**4 + 90*m**3 + 42*m + 172 wrt m?\nAnswer: 17904*m**2 + 540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*o + 23, -4*o + 2 = c - 3. Suppose 3*h + 12 = c*h. Is (3\/h)\/(6\/140) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3819515747?\nAnswer: 97, 3767, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:02 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 - (64\/4)\/4. Suppose 3*a + 8 = -j*i, -3*i - 11 = -a + 5. Suppose 5*u + 4 - 44 = 0. Solve n - 4*n + s + 8 = 0, -a*s = -2*n - u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730187 is divided by 3101?\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.34 in 4, 1\/7, -4, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -14. Which is the nearest to v? (a) 0.4 (b) -1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 7320 = -5770. List the prime factors of o.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5376 and 4882\/(-912) + (-218)\/2071.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 4*q + 2*y, 6*q - 4*y = q - 67. Let b(p) = p**2 + p. Let c(r) = -6*r**2 - 5*r. Determine q*b(s) - 3*c(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 9) in base 12?\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 189\/504 - 1454\/80. Which is greater: -17 or z?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -16\/124857?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**5\/60 + o**4\/12 - 5*o**3\/6 - 3*o**2 - 16. Let g(c) be the second derivative of t(c). Determine g(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 148646*r + 1635023. Calculate z(-11).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 88*v + 788. Let p be r(-10). Calculate the greatest common factor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488\/(-427)*(-1617)\/77.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from rmrrrfffrw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - -16 - ((-32)\/(-20) + (-115)\/25).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 138722\/1401 or 99?\nAnswer: 138722\/1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10226 - -10412. Calculate the least common multiple of l and (4\/3)\/(9\/162).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-163))\/(-1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 25*z + 95. Let k be f(-20). Let q = -1.97 + -0.03. Let d = 0.3 + 0.7. Sort d, q, k in descending order.\nAnswer: d, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = 0, q + a - 35 = 3*a. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -381 + 25*i**2 + 381 to k + d*i + u*i**2 and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/14 and -63\/1144?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/2 + -3*15\/(-9). Let p(u) = -u**3 - 17*u**2 + 17*u - 22. Let t be p(-18). Let i be -2*1\/t*-6 - -19. What is the greatest common factor of i and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 78, 131, 160, 159?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/3 - 16*g**3\/3 + 40*g**2\/3.\nAnswer: -2*g**2*(g - 2)*(g + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.5, 0.28, 1\/4, 150, -0.3, -5?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**6\/200 - n**5\/25 - n**4\/8 - n**3\/5 - 4*n**2 + 78*n. Let q(z) be the first derivative of v(z). Factor q(f).\nAnswer: -3*(f + 1)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 2.5. Let t = j + 3.8. Which is the second smallest value? (a) 2 (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-748 + 78)\/(18\/(-14) - (-4 + 3)) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 - 1151*x**4\/5 + 9974*x**3 - 277258*x**2\/5 + 439341*x\/5 - 15435 = 0. Calculate x.\nAnswer: 1\/5, 3, 49, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1932894 and 117906534?\nAnswer: 117906534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -1 (c) 1379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 5, -53, -157, -313?\n\"Answer: -w**3 - 14*w**2 + 31*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46711, 93431, 140151, 186871, 233591?\nAnswer: 280311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let q be (-3)\/i*8\/(-6). What is the tens digit of (12\/(-18))\/(q\/51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51098 or -51096?\nAnswer: -51098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50245477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 5*z**5 + 2*z**5 + (4*z**5 - 4*z**5 + 2*z**5)*(3 - 1 - 3) - 61*z**5 - 1 + 246*z**5 + 111*z**5.\nAnswer: 293*z**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*u - 248570, -5*i = -2*u - 40716 - 207829. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (66 + (-148 - -99)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i - 4. Let o be p(0). List the prime factors of (112\/10)\/o*-5.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -540800, -1080791, -1620780, -2160767, -2700752, -3240735?\n\"Answer: m**2 - 539994*m - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 + 40 = 8*n. Sort -3, n, -2, 2 in increasing order.\nAnswer: n, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76) - sqrt(76))*-1 - sqrt(76))\/((sqrt(176)\/sqrt(4))\/sqrt(11)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -31. Let m be i*9\/30*-5. Find the second derivative of 12*x**3 + 3*x**m + 4*x**3 - 5*x**3 + 11*x wrt x.\nAnswer: 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8210*0.4\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.9992 + 11. Round l to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10269850 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.574 - -0.8.\nAnswer: 0.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4793228 or -4793226?\nAnswer: -4793226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 - 1167*t**2 - 146676*t - 3520020 = 0. Calculate t.\nAnswer: -70, -34, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 146, 484, 1144, 2234, 3862?\nAnswer: 6136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114.9 + 114.4. Which is the nearest to -1? (a) -1\/6 (b) n (c) -5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270)\/sqrt(96) - sqrt(45))*-5*-3)\/((sqrt(9) - sqrt(18)\/sqrt(2))*-1 - sqrt(54)\/(sqrt(30)\/sqrt(5))))**2.\nAnswer: 10125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, t: 6, a: 4, v: 1, o: 2}. Give prob of sequence dt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 116*l**2 - 4341*l - 484389. What is u(-118)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5263492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t - 1. Let x(y) = -y**2 - 5*y + 4. Let p be x(t). Let r be -3 + 5 + 0 + p. Solve r = -0*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7}. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 5)*(-10)\/(-20). Find the third derivative of z**2 + 3*z**3 + y*z**2 - 2*z**3 wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196\/5*l + 40*l**2 - 4\/5*l**3 + 0 = 0.\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075470 is divided by 835?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x. Let b(o) = 9*o + 20. What is a(b(n))?\nAnswer: -27*n - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from uuuqququdquuuquqduu?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 1. Let f be n(1). Put -1, f, -4, 33 in ascending order.\nAnswer: -4, -1, f, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0397129 - -0.2786831. Let j = t + -0.239. Round j to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1049, -1105, -1183, -1283, -1405, -1549?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 10. Let v be a(7). Suppose -q = v*q. Suppose 2*t + 4*t = 6. Solve 5*r + 2*n - 16 = q, -21 - t = -5*r - 4*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - m**2. Let d(i) = -5147*i**3 - 4*i**2. Let t(a) = d(a) + 4*g(a). Find the third derivative of t(z) wrt z.\nAnswer: -30930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89393627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/10 + 0 - (-5)\/2. Find g, given that -3*g + g**2 + 6*g + 10*g**l - 12*g**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*k + 21*k - 1197 - 649 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -n + 6*n + 20, 20 = 3*n + 4*u. Suppose -5*x - 2*l + 1 = -3, 0 = -4*l - 12. Let b = 1300 + -1300. Solve n = -b*j + x*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from mkmmmkvkmmmkkmkmvkk?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5483, -5517, -5551, -5585, -5619?\n\"Answer: -34*j - 5449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3197286 and 19\/1598643.\nAnswer: 3197286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.5 (c) -4 (d) -7\/5 (e) 2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10446 is divided by 4824.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, x: 11}. Give prob of sequence qq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 5*i + 5, 3*r + 4*i - 34 = 0. Let x(m) = -4*m - 3. Calculate the remainder when x(-4) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22903608*w**3 + 25236044*w wrt w?\nAnswer: -137421648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 533 + 24. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from cclqlclcccclqcclcccc?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 6248983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 9*d**2 - 8*d + 21. Let o be n(-10). Solve -4*h - o = -5, 2*h = -3*x - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-2) - (-33 + 9516\/273)*63?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56841913*i**4 + 5120279 wrt i?\nAnswer: -227367652*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187.6 - 190.6. Which is the closest to 1\/5? (a) 0.2 (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369816?\nAnswer: 2, 3, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.902 + 0.702. Let d be (-1)\/(1 + (-4)\/3). Which is the closest to 0.1? (a) d (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) + -1*sqrt(119) + sqrt(119) + sqrt(119) - sqrt(119) - sqrt(119))*3)\/(sqrt(7) + 1*sqrt(175)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -10. Suppose 5*f - 8*f + n = 0. Suppose -3*y = -0*m + f*m - 51, 0 = m + 5*y - 9. Calculate the remainder when 74 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 874335401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/3 + a**3\/3.\nAnswer: -a**3*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 32 = -3*f, 151*x - 52 = 146*x - 3*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.3, -1, 1\/2, -1.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5 + 25. Suppose v - z*v + k = -7530, -4*v - 3*k + 7538 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 309?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66160\/6 + 10\/(-150)*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1151, -1728, -2305?\n\"Answer: -577*n - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-5) - 26\/(-65). Is (-2 + j)\/((-2)\/126) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112716.91 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, j: 6}. What is prob of sequence kk?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/3 in 1\/4, 0.9, 3, 3.5, 46\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.242 - 12055\nAnswer: -12055.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f + y = 32*f + 105, -5*f + 3*y + 85 = 0. What is the smallest common multiple of 364 and f?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 28 (b) 3\/5 (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14*d + 5. Let j(t) be the second derivative of -5*t**3\/6 - t**2 - t. Let p(m) = -6*c(m) - 17*j(m). What is the units digit of p(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905763386?\nAnswer: 2, 3, 233, 1363207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 2*o + 6. Let i be 2 + -1 + 0 + 4. Let a(t) = 4*t**2 + 2*t + 7. Calculate i*a(y) - 6*r(y).\nAnswer: 2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q - 46*q - 176 = -4*s, -4*s - q = -176. What is the remainder when 237 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -451916\/161 or -2806?\nAnswer: -451916\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 1. Let r(c) = -7*c**2 + 13*c - 2. Calculate r(h) - 2*x(h).\nAnswer: -7*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/12 + 3\/6*-12. What is the third smallest value in 0.1, 3, f, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3321)\/6)\/(3\/6). List the prime factors of ((-4)\/(-6))\/((-18)\/t).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5556274 (base 8) to base 3\nAnswer: 2211010021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4313.\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 119.77, 1\/7, -6, 0.13.\nAnswer: -6, -1\/8, 0.13, 1\/7, 119.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -27*f**3 + 13*f**2 + 4*f. Let k(r) be the second derivative of -13*r**5\/20 + r**4\/2 + r**3\/3 - r - 44. Give -13*k(w) + 6*s(w).\nAnswer: 7*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28837, -28841, -28845, -28849, -28853, -28857?\n\"Answer: -4*d - 28833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73927 and 28819.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n + 27*n - 6*n + 4 - 4 - 2*n - 4*n - n + 4*n + 6*n - 3*n - 2*n + (-1 + 1 - 2*n)*(1 + 3 - 3) + 1 - 1 - 2*n)*(5*n - 2*n - n).\nAnswer: 86*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 6*c + 3*c - 6.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 1\/12*j**4 + 0*j**3 + 75*j + 0 + 0*j**2. Let t(y) be the second derivative of y**3\/3 + 2*y. What is t(h(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705039?\nAnswer: 3, 235013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r + 256 = 44*r + 139*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 74*d**3 + d**2 + 2*d + 1. Let n be o(-1). Let x = 126 + n. Let a(z) = -z**3 - 25*z**2 + 54*z + 18. What is the remainder when x is divided by a(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1038 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffmhafa. What is prob of sequence mfmf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 + 1. Let m be l(-5). Suppose 2*n - 3 = -m. Sort n, -2, -1 in descending order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0 + sqrt(17) - sqrt(2448)*2)**2 + 6*(sqrt(153) + 1 + sqrt(153)).\nAnswer: 36*sqrt(17) + 2063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u)**(-2\/47) assuming u is positive.\nAnswer: u**(-8\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t = -176*t + 9225. Calculate the lowest common multiple of t and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65504639 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 6:20 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 292, 637, 1098, 1663, 2320, 3057?\nAnswer: 3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3066 + 318 = -4*x. Let w = 28 - -418. Let d = w + x. What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 p when three letters picked without replacement from smzpmzrrfmmp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 1. Let j = 2 + k. What is the greatest common divisor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yppyppppypypypyyyyp. What is prob of picking 3 p and 1 y?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 1. Let u(a) = -5*a**2 + 8*a + 12. Let k(h) = u(h) + 3*w(h). Let m be k(5). Which is greater: -3\/37 or m?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 1874*n + 15063. Give s(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 2.1. Let z = -7.03 - -0.03. Let w = l + z. What is the nearest to -1 in 1\/2, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 + 10602*o**2 - 106353*o - 116952 = 0.\nAnswer: -3544, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 212 = -8. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25417 - 25416.6. What is the second smallest value in 110, 0.5, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 6*y)*(31*y + 24*y - 56*y) + y**2 - 8 - 2*y**2 - 1.\nAnswer: y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 11 = -17*m. Let w(t) = -33*t**3 + 17*t**2. Let s(o) = 66*o**3 - 34*o**2. Let x(u) = m*s(u) + 5*w(u). What is the third derivative of x(c) wrt c?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by -234?\nAnswer: -61\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1279 and 192318114.\nAnswer: 192318114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*((-4)\/(-3))\/(-4). Let c be (-289)\/y + 16\/(-3) + 6. Suppose 0 = -3*k + c + 284. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -523.199 and 0.5?\nAnswer: -261.5995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -3*g, 5*c = -4*g - 0 - 4. Let z(n) = -n - 2. Let w be z(-2). Let b be (1 + w)\/((-2)\/(-2)). Calculate the greatest common factor of g and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102100021200221 - 21?\nAnswer: 102100021200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of -2*9\/72 + (-10465)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -37. Let w be 1 + 2 + -51003 - y. Let h = w + -78999. What is h rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3))**36\/(j\/j**(-3)*j**(-2\/7)))\/(((j**0\/j*j)\/j)\/j**(-1)*(j*j\/(j*j\/(j*(j\/j**(-1))\/j))*j)\/j*j*j**7) assuming j is positive.\nAnswer: j**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -22012?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*(-100)\/3*(-5185 - 5). Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75, 48, -1, -72?\n\"Answer: -11*p**2 + 6*p + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f, 5*h + 2*f + 5 = -0*h. Which is the second biggest value? (a) h (b) 37 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 3836940?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 35.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {a: 1, x: 2, y: 1, w: 1, r: 1, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*d + m - 28, 23 - 29 = -3*d + m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 3*x - 27, -99*o + 96*o - 2*x = -17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 3*w**6\/40 + w**5\/60 + w**4\/24 - 5*w**3\/6 - 21*w**2. Does 11 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/6, -0.003, 2, 7, -1, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, -6, 3, -2\/19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - 1. Let f be w(2). Suppose -9*q + 4*q = -f. What is the third derivative of -3*y**q + 4*y**2 + 3*y**3 - 3*y**3 wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 8*r**2 + 8*r + 8. Let b be q(-7). Let d = 1 + b. Let 2*u**3 + 4 - 4*u**2 - 4 + d*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15620994.8 and 0.1?\nAnswer: 1562099.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -19*y + 1. Let l = 270 - 213. Let b(d) = -59*d - l*d + 116*d - d**2. Determine w(b(p)).\nAnswer: 19*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 63\/14. Suppose -36 = -j - 2*w - 2*w, -148 = -5*j - u*w. Calculate the highest common divisor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1359 = 81. Is s\/12 - (-1)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 5*j - 9, 4*j - 101*q + 105*q + 10 + 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1608205 divided by 5\nAnswer: 321641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10081 and -0.109?\nAnswer: 1098.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - k - 5)*(-1366 + 18*k - 1397 + 2834).\nAnswer: -18*k**2 - 71*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2256 and 202899?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 2. Let c(x) = 3*x**2 + 10*x + 2. Let j be c(-1). Let n be (-13)\/1 - j - -8. Give h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 844 - 844 + 489*x**4 + (-11*x**3 - 3*x**3 + 2*x**3)*(4 - 2*x - 4).\nAnswer: 513*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3728 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**8\/112 + c**7\/70 - c**2\/2 + 4. Let v(j) be the second derivative of h(j). Factor v(i).\nAnswer: -3*i**4*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f - 2. What is the units digit of k(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6042077*h - 3021038*h - 3021042*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 576*r + 1152*r + 46 = 581*r, 23*f - 2*r - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19456, 38982, 58524, 78088, 97680, 117306?\nAnswer: 136972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 2222. Let n(f) = -95*f**2 - 5*f - 26. Give p(n(t)).\nAnswer: -190*t**2 - 10*t + 2170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18392262 - -0.1839. What is w rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 341, 330, 313, 290, 261?\n\"Answer: -3*w**2 - 2*w + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -603865 times -0.1?\nAnswer: 60386.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/19600 and -73\/8120.\nAnswer: 568400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.7 less than -766652?\nAnswer: -766792.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 + w**2 - w + 1. Let d(s) = -959*s**3 - 2*s**2 + 2*s - 688. Let x(r) = d(r) + 2*v(r). Differentiate x(g) with respect to g.\nAnswer: -2901*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477152650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 6369796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(1\/(-2) + 0). Suppose 2*k = k - q. Let v be 6\/(-8) - k\/4. Put -3\/7, 0.5, v in increasing order.\nAnswer: v, -3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38758, 37466, 36172, 34876, 33578, 32278?\nAnswer: 30976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = 2.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/11 - 56*f**4\/11 + 390*f**3\/11 - 612*f**2\/11.\nAnswer: -2*f**2*(f - 3)**2*(f + 34)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12853*(8 - 130\/20)*(-10)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1 + sqrt(684))*5 + sqrt(684))*2)**2*-5.\nAnswer: -7200*sqrt(19) + 492980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**2 + 16 - 7 - 9.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2725*j + 1116*j**2 + 3195*j - 190*j**2 + 27*j**2.\nAnswer: 953*j**2 + 470*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-81)\/(-9) + (22 - 30) - 6\/5. Put m, -929, -1\/6, 1 in descending order.\nAnswer: 1, -1\/6, m, -929","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**2 - 15*d + 2. Let v(s) = 5*s**2 + 7*s - 1. Give 6*q(j) + 13*v(j).\nAnswer: -j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 155305807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {a: 1, f: 3, n: 2, g: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 969975*r*u*y**3 + r*u*y - r*y**2 + 20*u*y**3 + 6*u*y**2 + 112*u*y + 18*y**3 - y wrt r.\nAnswer: 969975*u*y**3 + u*y - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 10 = 3*y, 0 = -3*y - 7 - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1*(-25)\/(-3 - -8). Let x(z) = -2*z - 6. Calculate x(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -896.07308 to zero decimal places.\nAnswer: -896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 28*n**2 - 3*n + 43. Let j be r(14). Let k be j\/(8\/(32\/34)). Let -18\/17*w**4 + k*w**5 + 42\/17*w**3 + 0 - 38\/17*w**2 + 12\/17*w = 0. What is w?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -7 + 22\/(-20))*-6. Which is the nearest to 0.2? (a) 0 (b) 0.5 (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1474 - 13205\/9. Suppose -4*y = -l + 2*l - 16, 4*l = -5*y + 31. Calculate the common denominator of (l\/(-36))\/(5\/(-280)) and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -1\/14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -20 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -7 + -1 - 0 - 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j = -102*j - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + (-3 + 2)*-2. Suppose -4*v = u - 499. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1.453. Let x = -466332.9 + 466332.85299973. Let p = x + z. Round p to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 316*t**2 - 358*t + 6348. What is s(159)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/20 - 5*g**4\/6 + 2*g**3 + 8*g**2 - 5*g. Is 4 a factor of d(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s**2 - s + 60. Let y(t) = -13*t**2 + 2*t - 61. Calculate 4*j(a) + 3*y(a).\nAnswer: a**2 + 2*a + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((-24)\/(120\/10)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 3\/40 (c) 0.136 (d) -63\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*b*k**3*u**3 + b*k**3 + 6*b*u**3 - 2*b*u**2 + 5*k**2*u**3 - k*u wrt k?\nAnswer: -156*b*u**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 9335*b - 5. Let y(r) = -r. What is y(o(j))?\nAnswer: 2*j**2 + 9335*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9585 divided by -83?\nAnswer: 9585\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*39\/(-54))\/(320\/3456*38\/(-95))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12644 is divided by 1193.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -927*m + 4645. Let k be f(5). Calculate the highest common divisor of k and 722.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d + 228 = 4*t, t - d - 64 = 0. Suppose -2*k - t = -4*k. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9825086 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.260226 meters to nanometers.\nAnswer: 9260226000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 750.888435 rounded to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22632)\/(-13202) - 240\/(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5625 * 64889\nAnswer: -365000625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/5)*h*h*h**(-4\/5))\/(h**(-1))**(2\/27) assuming h is positive.\nAnswer: h**(-17\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 42*t - 215. What is z(34)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -343359886*p - 138878994 wrt p?\nAnswer: -343359886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 + 4. Let d(z) be the second derivative of -z**3\/3 - 3*z - 24. What is d(p(r))?\nAnswer: -8*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5\/q)\/q**(3\/11))\/(q**(-2)\/q*q)**(-5) assuming q is positive.\nAnswer: q**(-69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**4*v + 39*j**4 + 1270*j**3*v + 5*j**2*v - 20944*j**2 + 7*j*v wrt j.\nAnswer: -72*j*v + 936*j + 7620*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27188237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -56, -84, -112, -140?\n\"Answer: -28*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*v**2 - 247*j**2 - 55*j*v**2 - 4*v**2 wrt j?\nAnswer: -4*v**2 - 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83640\/847 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/971?\nAnswer: -2\/971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 43\/32, -5, 2, 0.1, 1\/8, 33 in increasing order.\nAnswer: -5, 0.1, 1\/8, 43\/32, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.476 (b) 4\/5 (c) -1613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2701161, 2701167, 2701173, 2701179?\nAnswer: 2701185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*z - 15 = 0, -74*q + 4*z + 77 = 51*q - 76*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-18) + (-20)\/90. Let g(z) = z**3 - 1. Let j(s) = -5*s**3 - s + 2. What is y*j(v) - 3*g(v)?\nAnswer: 2*v**3 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123602, 247199, 370798, 494399, 618002, 741607, 865214?\nAnswer: 988823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -400, -599, -798, -997, -1196?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 11008337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-220)\/(-35) + -7. Which is the nearest to 0? (a) n (b) -3 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z**2 - 5*z - 4. Calculate g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786*i + 780*i = -12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = q - 19. Calculate the smallest common multiple of q and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 69*v**3 - 6*v**2 + 6. Let k(w) = 69*w**3 - 5*w**2 + 5. What is -6*k(a) + 5*x(a)?\nAnswer: -69*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31855*l**4 - 16*l**3 - 2*l**2 + 16323760.\nAnswer: 127420*l**3 - 48*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12400*-587.\nAnswer: -7278800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 402\/469*(-14)\/(-258) + 0\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - 1) + -4 + 4. What is the highest common factor of n and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 19. Suppose -2*h = -7*h. Let r = 225 + -150. Calculate the remainder when r is divided by y(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 3*t**3 - t**3 + 3*t + 0*t in the form f*t**2 + p*t + h*t**3 + c and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**3\/3 - 5*f**2 - 52*f + 185. Let k be q(-4). Solve 4*v = 3*l - 2*l + 6, 0 = k*l + 3*v - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*k + 219*k + 4 = -4*s, 1 = -5*s + 4*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 - 3544?\nAnswer: -4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23312621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-31)\/31*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556904.\nAnswer: 2, 67, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {u: 2, h: 1, x: 1, e: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175861 rounded to 3 dps?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 85*w**2 + 1272*w + 1188.\nAnswer: (w + 1)*(w + 18)*(w + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**3 + 886*w**2 + 1249*w wrt w?\nAnswer: -12*w + 1772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 106646?\nAnswer: -106635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4512 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/4 + 929*b\/4 + 465\/2 = 0.\nAnswer: -1, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**3\/3 + 3*g**2\/2 - 10*g - 9. Let m be l(-8). What is the greatest common factor of 150 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 + -93. Let f be 1*4 - (10 - 9). Suppose -f*n + x*n = 10. Solve -5*y + 29 = -4*b, n = 5*b - 2*y + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 6. Let i(f) = -f**3 + 4*f**2 - 3*f - 4. Let n be i(3). What is c(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k - 53*k - q = -26, 136 = -16*k + 4*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 - 16*s - 6 + 24*s + 3*s**2. Let y be j(4). Suppose 7*o - y*o + 7509 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89059 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**4 + f**3 + f**2 + f + 2. Let i(n) = -1843*n**5 - n**4 + n**3 + n**2 + 2*n + 12. Let h(m) = i(m) - t(m). Find the second derivative of h(l) wrt l.\nAnswer: -36860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {t: 18, z: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -56 - 79. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3714, 3707, 3702, 3699, 3698, 3699?\n\"Answer: q**2 - 10*q + 3723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)*(-8 + 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-77)\/(-7) + -6)*13791\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -73*g**2 - 126*g + 33. Find the first derivative of o(h) wrt h.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb1 (base 16) to base 13.\nAnswer: -1493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 405.2003us?\nAnswer: 0.0004052003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 755, 1777, 3219, 5087, 7387, 10125, 13307?\nAnswer: 16939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 3840.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -323, 1 in descending order.\nAnswer: 1, 0, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5513 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 52\/7 (b) -0.5 (c) 2 (d) 2\/7 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9346 and -21\/38.\nAnswer: 177574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8173 and -153?\nAnswer: -1250469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -369558*x - 2 + 2 + 369778*x - 14 as o*x + t and give o.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, v: 2, b: 1, j: 1, y: 3, o: 2}. Give prob of sequence yyjb.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + a, 3*h + a = 4 - 0. Let u be ((-6 - -3) + 7)*h. Suppose -f = u - 6. Solve f*x + 10 = 0, -2*j = x + 1 + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b - 228. Suppose 6*i - b = 2*i. Suppose 8*u = 11*u + 5*n - 5, -u - 3*n - 1 = 0. Solve 5*r = -2*m - 25, u*r + i = 4*m - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150054 is divided by 74478.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59, 18027, 39?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3\/388, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273032.7 litres to millilitres.\nAnswer: 273032700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-119) - 6017499\/153. What is u rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -40. Calculate the remainder when (-10)\/(-25)*-5 - (1 + -125) is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 4*j)*(1 - 1 + 3*j)*(1 + 1 + 0)*(3 - 4 + 2 + (-2 + 1 - 1)*(-3 + 0 + 2) - 2 - 3 + 6 + 2 - 5 + 4 + 0 + 0 - 1 - 2 + 1 + 3).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422684.\nAnswer: 2, 251, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**15\/u)\/(u*u**(-6)))\/(u*(u**2*u)\/u*u**15*u))**18 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11057475*p - 21356097 wrt p.\nAnswer: -11057475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5122, -0.145, -0.5, 0.9?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7831*p*q**3*t**3 + 38*p*q**3*t + 3*q**3 + 3*q**2 - 157248*t**3 with respect to p.\nAnswer: -7831*q**3*t**3 + 38*q**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45589613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.412 minus -794470.7?\nAnswer: 794471.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8468*d = 8504*d - 9504. Calculate the remainder when d is divided by 196.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*z = 31033 - 31054, 0 = -4*b + z - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6847*n - 47929. Give d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117*1002755.\nAnswer: -117322335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36952\/9 + 4101. Let v(q) = -4*q + 9. What is the common denominator of x and v(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 2 + 3*t**5 - 2*t**3 + 2*t**2 - 2*t**4 - t**5.\nAnswer: 2*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.71847598 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8789736)\/144 + (-3)\/(-9))*4\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -32125, 0.08 in decreasing order.\nAnswer: 1\/8, 0.08, -32125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/20 - 5*x**4\/6 + 4*x**3\/3 - 9*x**2. Let c be f(7). Solve 0 = -4*g + 2*l - 0*l - 10, c = -3*g - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 3*p**5\/20 - 7*p**4\/24 + 3*p**3\/2 + 10*p**2. Is m(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 499, 143, -164, -3.\nAnswer: -164, -3, 143, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 98*l - 3958. Give b(32).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.775672 millennia to decades.\nAnswer: 77.5672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 74. Let p(x) = -x + 1. Let b(r) = -4*r + 5. Let f be (5\/(-10))\/((-2)\/(-20)). Calculate f*p(y) + k*b(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3541 + -1617. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 375?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 + 1459006 - 1459006.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 790*q**2 + 7108*q - 9. Give j(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**3*x**2 - 2*j**3 - 63*x**2 - x - 163 wrt x?\nAnswer: 10*j**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -239, -3\/8, -1068?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.01616 rounded to two decimal places?\nAnswer: -13.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/525*v**7 + 0*v + 0*v**3 - 1\/150*v**6 + 1\/150*v**5 + 1\/30*v**4 + 0 + 159*v**2. Factor i(m).\nAnswer: -2*m*(m - 1)*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554.79 - -0.2.\nAnswer: -554.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 202280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50024 and 11100?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6378 (base 12) to base 3.\nAnswer: 112221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13355937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 + 3*u + 1. Let a(l) = 13*l**2 + 4*l + 2. Let s be 4 - -1 - 0 - 10. Determine s*a(o) + 7*v(o).\nAnswer: -2*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -5. Let p(b) = 10*b**2 - 3*b. Let a(q) = -29*q**2 + 9*q. Let c(x) = h*p(x) - 3*a(x). Find the second derivative of c(g) wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**3 - 17*o**2 - 3*o + 17. Let w(u) = -3*u**3 - 6*u**2 - u + 6. Let c(d) = -d**2 - 2. Let s be c(-2). Give s*m(a) + 17*w(a).\nAnswer: -3*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + b**2 - b**2 + (-15*b + 15*b - 6*b**2)*(-2*b**2 - 3*b**2 + 2*b**2).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -3)*6\/10. Suppose -5*s - 7 = 4*h - 2*h, -j*h - 3*s - 6 = 0. Let d be (h + (-2 - -4))*3. Calculate the highest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 974 - 504. Let f = -430 + d. Calculate the remainder when f is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20\/(((-30)\/(-40))\/((-69)\/(-4)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -6 - 3) + -1 + 1. Which is the second biggest value? (a) -6 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12688 and -45\/8?\nAnswer: 12688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.34061 millennia to months.\nAnswer: 4087.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24422174*h**3 - 14379*h**2 - 6100*h wrt h.\nAnswer: 146533044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 13*r + 13. Let s be 0\/(2\/(1 - 3)) + -16. Is a(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -662, -1190, -1720, -2252?\n\"Answer: -o**2 - 525*o - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-70)\/14)\/(-2). Solve -2*o = -5*b - 5 - 19, -4*b + 3*o - 22 = h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let t(d) = -2*d - 17. Let g be t(-13). Let s = g + -5. Solve r = -s*b - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1147 + 1151. Solve 14*w - 20 = a*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.012637? (a) -5\/2 (b) -1 (c) -67.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 226*p**3 + 1576*p**2 - 50*p - 359. Determine t(-7).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -1.7832?\nAnswer: -12.4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.194 and 121.13.\nAnswer: 629.14922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 divided by 171?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let a(u) = -19*u**2 - 6*u - 12. Let r(s) = -a(s) + 6*l(s). What is the derivative of r(j) wrt j?\nAnswer: 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*p + 4 = -c, 2*p + 53 = 3*c. Let g = c + -13. Let o(b) = -b**3 + 7*b**2 + 8*b + 3. Let w be o(g). Solve 0 = w*x + 3 - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 2*x + 7*b - 4*b, -5*x + 869 = -b. Let m = -169 + x. Solve -m*z = 2*f + 6, -z + f = 4*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/99 and -53\/33324?\nAnswer: 1099692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 33, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j**(-5\/4))\/j)\/j)**11\/(j\/(j\/(j*j*(j\/(j\/(j**(-1\/6)\/j)))\/j)*j))**(9\/4) assuming j is positive.\nAnswer: j**(-89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**3\/6 - b. Let n(p) be the second derivative of -11*p + 0 + 1\/3*p**3 + 0*p**2. What is n(k(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20343 - -20367. Let u(b) be the first derivative of -33 - 5\/2*b**2 + r*b. What is the first derivative of u(g) wrt g?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -91, 4 in descending order.\nAnswer: 4, -34, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -22*p - 684. What are the prime factors of p?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 12. Suppose q*m + 0 = -12. Let o(k) = 700001*k + 4. Let c be o(m). Round c to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 5*g + 4. Let z(u) = -u**2. Let b(k) = -s(k) + 3*z(k). Let q(l) be the first derivative of b(l). Differentiate q(j) with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q - 358 = -53*q. Suppose 5*u - q + 28 = 0. Calculate the highest common factor of u and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1*5)\/((-330)\/132))\/1. Sort i, -3, -156, -2, -4 in increasing order.\nAnswer: -156, -4, -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -417 + 411. Which is the biggest value? (a) -0.06 (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -2. Suppose g*j - 8 = 3*j. Suppose j*s - 40 = 3*b, -6*s + b = -5*s - 22. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 7380.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 = 4. Let r(t) = 2*t**h - 2 + 1 - 5*t + 4. Let d be r(3). What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -148\/3, 0.3, -17.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a - 3. Suppose z + 3*z = 8. What are the prime factors of g(z)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*b + 27 = 41, 5*b - 20 = 0. Suppose 3*l = -3 + 6. Let u(o) = 8*o + 1. Calculate the smallest common multiple of p and u(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1a8d837?\nAnswer: 1a8d833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6628, -12476, -18324, -24172, -30020, -35868?\nAnswer: -41716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 4*i - 20*i. Let k(h) = 4*h**2. Determine g(k(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 5)*(-a**2 - 4*a + 4*a)*(3*a + 2*a + 15 - 12).\nAnswer: 50*a**3 + 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 8072454.\nAnswer: 8072454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 + -330. Solve -7*n = v + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 810\/27 + 4\/((-12)\/9)?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396759?\nAnswer: 3, 11, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 2*p - 10*p)*(-p - 3*p - p)*(-2 - 1 + 1) - 4*p**2 + 3*p**2 - 37*p**2.\nAnswer: -198*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*f + 306*f + 1980 = 588*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/9 (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3927\/(-33) - -32)*(-1024)\/6?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43900 rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - z - 1. Let y be w(-1). Suppose 2*g = -0*o + 3*o - 1175, -5*o + 1958 = -y*g. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*t + 1568 - 3401 + 11345 = 0 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v**2 - 1. Let l be 3\/27*3*-3. Let j be l + 4 + (-5 - -3). What is h(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 1038, 1590, 2142, 2694?\nAnswer: 3246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -25. Let d be 3*(-2)\/(-3)*(-39)\/t. Factor -2*c**d + 3*c**3 + 1 + 3 + 0*c**2 - 3*c**2.\nAnswer: (c - 2)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 2308.\nAnswer: -16156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 689\/474 - 19\/158. Put g, 1\/2, 1 in increasing order.\nAnswer: 1\/2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/8 - 55703*f\/8 + 167145\/2.\nAnswer: -(f - 12)*(f + 55715)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 + -177. Calculate the remainder when 189 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - b - 5*b - 5*b + 16*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 48*a + 328. Let g(l) = 12*l - 1. Let n(c) = -3*g(c) - o(c). Factor n(t).\nAnswer: (t - 13)*(t + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y + 14. Suppose -8 = p + 1. Let j = p + y. Solve -j*o = -10*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163442.648 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542234 is divided by 271116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -3*q**5\/5 + 37*q**4\/4 - 958*q**3\/3 - q - 2102. Find the third derivative of p(x) wrt x.\nAnswer: -72*x + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*r + 303 - 39 = -62*r. Solve -n - 6*d + r*d + 8 = 0, -3*d - 15 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1546902*s**4 - 37411*s**2 + 13*s.\nAnswer: 37125648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 3. Let k be r(0). Suppose -5*o + 2*j + 10 = -k*o, 4*j = 3*o - 12. What is the tens digit of 218\/o + 5\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 104*h + 98. Let q be o(-1). Let f(l) = -l**2 - l - 1. Let s(c) = c**2 + c + 1. What is q*s(t) - 5*f(t)?\nAnswer: -t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (25 - 83)*8\/16\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7590 and 409860.\nAnswer: 409860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 75, 167, 277, 393, 503, 595?\n\"Answer: -2*a**3 + 27*a**2 - 5*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.19511 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162683094?\nAnswer: 2, 3, 7, 23, 168409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 447 (b) 4\/3 (c) -5\/3 (d) -12.4 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215.6 + -127.7. Let h = -130 + 222. Let q = h - b. What is q rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347868978 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40 - (-1 + -3) - 2. Suppose -z + 180 = 6*x. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6612610, -13225220, -19837830?\nAnswer: -26450440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.92\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 t when four letters picked without replacement from fffftfff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 141428863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 12212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -519 + -724. Let m = c - -1248. Let l(n) = 2*n + 9 - 2 + n**2 + n. Let u(x) = -1. Determine m*u(h) + l(h).\nAnswer: h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 12:56 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 19734915*n**3 - 19734915*n**3 - 742*n + (3*n - 3*n - 2*n**4)*(1 - 2 + 2).\nAnswer: -3*n**4 - 742*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**3 - 9*b**2 + 11*b - 5. Let u(j) = 3*j**3 - 4*j**2 + 5*j - 2. Suppose 3*q + 8*o = 5*o - 27, -o = 2*q + 13. Calculate q*r(y) + 9*u(y).\nAnswer: -y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (1 + -5))*(-2)\/(-6). Let h = 0.2 + -0.1. Which is the nearest to -2? (a) z (b) h (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222102?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.5 + -0.5. Let h = 68 - j. Let u = h + -112.16. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1785121089 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(128\/(-72))*(-2208)\/18. What is the greatest common divisor of x and 720?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.55 + -0.15. Let q = -0.4 + u. Let d = 1.1 - 3.1. Which is the nearest to -0.1? (a) q (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 319.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.2 + -5. Let z = -10 + 11.2. Let v = z - x. What is the closest to v in 4, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -8)*8\/12. Suppose f - 4*f + y = 0. Let w(a) = -a + 4*a + f*a. Let b(u) = -2*u**2. Determine w(b(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 90. Let x = 53 - v. Solve x = -3*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -6320?\nAnswer: 6323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -743 + 742.7. What is the fourth smallest value in -2\/23, p, -1\/4, -0.2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611478921*o**5 - 41*o**2 - 756318*o - 1.\nAnswer: 36688735260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -17. Suppose -6 = 2*y, -4*y - 108 = -d - 3*d. Calculate the highest common factor of z and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. Suppose -4*a - 5*l + 48 - 15 = 0, w*a = 4*l - 12. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -728, -729, -730, -731, -732, -733?\n\"Answer: -w - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 5*i**2 - 12*i + 41. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14264 + 14263.999994163. What is p rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(4)\/sqrt(2) + 4) + -1 + (sqrt(8)*-1)\/sqrt(4))**2.\nAnswer: 152*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82548.49 years to millennia.\nAnswer: 82.54849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214\/9 in 1\/2, -1.6, -0.3, -41?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 19. Let w = d + -21. Suppose -g = -w - 12. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a - 5. Let f be b(-4). Let v = f + -51. Suppose -2*q = -7*q - 4*k + 12, 4*k = v. Solve -2*t - 3*o + 11 = q, -5*o + 0*o = -5*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (10 - 23 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2279090 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1227*v**2 + 9*v - 47. Let i(o) = 2453*o**2 - 15*o + 79. Let a(f) = -3*i(f) - 5*j(f). Let m(h) = 3*h. Calculate m(a(l)).\nAnswer: -3672*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*n - 48 = 0, 12 = -4*z + 3*n - 28. Suppose -61 - 8 = -3*v. Let i = z + v. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7728*s + 7732*s = 30*i + 20, 0 = -4*s + 3*i + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*f - 6117289 - 2593146, 3*j = 5*f - 13065565. Round j to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k**2 - 2*k. Let w(x) = -x + 8*x**2 + 3*x - 3*x. Let v(r) = 84*r**2 + 253*r - 3. Let q be v(-3). Calculate q*t(y) + 17*w(y).\nAnswer: -2*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, r: 4}. What is prob of picking 3 i?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 384 - 120. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7073.\nAnswer: 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:11 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60944674 to the nearest integer?\nAnswer: 7807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034946839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 724412 and 6591.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(2*g**4 - 7*g**4 + 2*g**4) - 5*g**3 - 13*g**4 + 5*g**3 - 2*g**2 + (-3*g**2 + 3*g**2 - g**4)*(-1 + 1 - 1).\nAnswer: -15*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1206396 and 30?\nAnswer: 6031980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 986 = 5*s + 998, 0*n = 5*n + 5*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 146\/(-10) - 2\/5. Let x be 3\/k - 42\/(-10). Suppose 3*a - 18 = -0*m - x*m, 0 = a + 2. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-110))\/(9\/(-30))*36\/(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*66\/110\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 172 = 2*z - 5*n, 5*n - 260 = -5*z. Let y = 53 - z. Suppose -5*r - 5*b = -20, -y*b = 2*r - 5 - 6. Solve i = -r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j**4 + 419 + 15*j**3 - 15*j**3 - 7*j**4 - 72*j**4 wrt j?\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - -23) - 0. Let k = -2767 + 2971. Calculate the highest common divisor of a and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 3*j + 4. Let h be u(-3). Suppose x + 3*x - 72 = 0. Let t be ((-4)\/(-60))\/(-2 - (-38)\/x). What is the fourth biggest value in h, t, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1910 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 11 = -2*q. Let u = -1 - -6. Suppose 6*x = u*x + 30. Calculate the highest common divisor of q and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27366185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -41. Suppose -6 = -u + 4*u. Let g be 2\/(-6) + u\/48. What is the nearest to 2\/5 in g, v, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167*f**2 - 172*f**2 + f**3 + 8*f**3 wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020 divided by -2795\nAnswer: 204\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 18*u + 20. Is 15\/(675\/u) + 914\/18 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1021 - 16*q**2 + 1011 + 9.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(-4 + sqrt(1008)))**2.\nAnswer: -86400*sqrt(7) + 921600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**8\/420 - g**5\/30 - 5*g**3\/6 - 3*g**2. Let s(u) be the first derivative of h(u). Find the second derivative of s(i) wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 0))) + -4 + -5 + 2*sqrt(1100) + sqrt(1100) + 4))**2.\nAnswer: -3600*sqrt(11) + 158625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k. Let z(o) = 1660*o**2. Determine f(z(y)).\nAnswer: 9960*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1929, -2218, -2669, -3282, -4057, -4994?\nAnswer: -6093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 754839577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 times 14.6932?\nAnswer: -3291.2768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -255*k - 10. Let n(b) = -515*b - 18. Determine 11*d(j) - 6*n(j).\nAnswer: 285*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90*u**4 + 2*u**3 - 190*u**2 - 3*u + 689648?\nAnswer: 360*u**3 + 6*u**2 - 380*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2899 + 855 = -7*s. Let c = 453 - s. Calculate the remainder when c is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2283 = 468. Suppose 2649 - f = -4*z. Let b = -62 - z. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 322, -3\/7, -10, 1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/630 and -31\/16?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162459518 to the nearest integer?\nAnswer: 12746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**3 - 2. Let s(i) = 719*i**3 + 2*i + 4. What is 2*p(l) + s(l)?\nAnswer: 711*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlh when three letters picked without replacement from {s: 1, r: 11, l: 2, h: 2}.\nAnswer: 11\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -72 + 11 + ((-525)\/(-25) - 1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -472 + (-1 - 2) + 1. Let t = z - -872. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1540\/(-252))\/(55\/33).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 22. Let v be ((-6)\/(-4))\/((-2)\/12). Let q be j(v). Let p = 30 + q. Calculate the highest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w + 1. Let i(h) = -h**3 + 9*h**2 + 6*h + 16. Let t(u) = i(u) - 2*j(u). What is the remainder when 78 is divided by t(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 7*h + 3*h**2 + 4 + 1 - 2*h - 22*h**3. Let j be c(-2). Round j to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*k - 6*k + 13, 9*k - 17 = 4*c. What is the remainder when 131\/7 + (-12)\/(-42) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 151097108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2773*n**2*u**2 - 19176*n**2 + 4*n*u**2 wrt u.\nAnswer: 5546*n**2*u + 8*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 3*w. Let c(j) = 2*j + 4*j + 3*j**2 - j - 3*j. Let l be -4*2\/(-8)*3. What is l*c(k) - 2*o(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7.9. What is the biggest value in u, -4, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2171877.\nAnswer: 3, 723959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6968074*o**3 + 2520000*o**2 + o wrt o.\nAnswer: 41808444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, r: 9}. Give prob of sequence rr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2397097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -4\/13 (b) -1 (c) 1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -44. Suppose 5*u - 29 + h = 0. Let a(j) = 6*j - 3. Let c be a(3). Solve -u*i + c = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/40)\/(4\/10). Suppose -4*n + 104 = q*a, -99 = -2*a - 5*n + 9. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405928.\nAnswer: 2, 50741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2721585891 - 116*x - 109*x - 2721585891 + 229*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 574649406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + sqrt(18).\nAnswer: -4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1636 is divided by 690?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:40 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4 - 1637*l**3 + 87*l + 6447294 wrt l.\nAnswer: 4*l**3 - 4911*l**2 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231 - -238. Calculate the greatest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106959 by 303.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1098\/(-17690)*((-130)\/(-39))\/1\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (8 - 2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1037 and -43785.\nAnswer: -44822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5143554 (base 8) to base 16.\nAnswer: 14c76c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -14. What is the derivative of -m*z**2 + 10 - 4*z + 8*z - 4*z wrt z?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1380\/7 - -200. What is the common denominator of w and -65\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2. Let i(t) be the first derivative of -13*t**3 + 4*t - 3927. Determine o(i(w)).\nAnswer: -10647*w**4 + 2184*w**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -2, 0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142744 times 5?\nAnswer: 713720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(-181890)*-43*48?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 2*b**3 + 2*b**3 + (-4*b**2 + 0*b**2 - b**2)*(6 - 6 + 3*b) - 4*b**3 - 2*b**3 + 3*b**3.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 87 (c) -5772 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8619775 to the nearest 100000.\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 12) to base 8.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -296, 20, 0, -4, -2 in descending order.\nAnswer: 20, 3, 0, -2, -4, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323611\/4 or -80904?\nAnswer: -80904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098395 is divided by 2679.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.1. Suppose -14*p = 9*p - 46. Let m be (3 - (-104)\/(-14) - -5)\/p. Sort m, -2\/3, d in decreasing order.\nAnswer: d, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1855.05148 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(1 + -13) - (361\/(-33) + 0)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.00423 - 4.76677. Let s = 0.029 - r. Let b = 5 - s. Put -2\/5, b, 1 in descending order.\nAnswer: 1, b, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 100 = 2*l. Solve 2*h + r - 5*r + 12 = 0, l*r = 4*h + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x**2 - 75505*x + 2486850 = 0 for x.\nAnswer: -1405, 354\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 8945 + 3535. What are the prime factors of k?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Suppose 50 = -6*m + 62. Suppose p*a - 12 = -4*v, 0 = m*a - 4*a. Solve 0 = -h + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*i**3 - 4*d**2*i**2 - 10*d**2*y**2 - 17*d*i**3*y**2 + 3*d*i**3 - 5*i**3*y - 2*i**2*y wrt d?\nAnswer: -2*i**3 - 8*i**2 - 20*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -1.5. Let i = a - -0.7. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 5)*5\/3. Let 8*p**2 + 9*p**4 - 8*p**3 + v*p**4 - 12*p**4 = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/895 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0182 - 0.3372. Round v to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 7*h**4\/6 + 5*h**3\/3 - 2*h**2 + h. Factor p(x).\nAnswer: 2*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (8 + 0 - 2) - 1) + 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v + 1)*(2*v - 5007141*v**2 + 5007141*v**2 + 4*v**3 + 1 + 927*v**4).\nAnswer: 927*v**5 + 4*v**4 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298240*f**2 - 148459*f**2 - 149898*f**2.\nAnswer: -117*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5654*m - 1700 = 5704*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-5))\/((-7)\/((-336)\/(-16))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 107 = 13. Sort 0, 3, u in ascending order.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.424 * 0.03\nAnswer: -0.07272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5110 - 5106. Suppose -h - 6 = -2*i, 3*i + 3 - 19 = -2*h. Suppose x*w - 6*w - 5*q + 6686 = 0, 0 = -4*w + i*q + 13428. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 2 (c) 12\/53 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Let k = 830 - 1162. Let z = k - -331. Let m(i) = 7*i + 3. Determine z*m(s) + 4*r(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 28587005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**4 + 26*g**3 + 4*g**2 + 4*g + 8893.\nAnswer: 72*g**2 + 156*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1731624706.1 and 0.1384.\nAnswer: 1731624706.2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1262 - 160 - 1635 + 6633*y**4 + 565 - 524*y**4 wrt y.\nAnswer: 24436*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 243 + -241. What is the nearest to 0 in -3, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 6a888?\nAnswer: -6a88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (sqrt(500) - -2*1*sqrt(500))) + 1)*-3.\nAnswer: -3 + 540*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 21\/(-28))*-32. Calculate the remainder when 362 is divided by (2 + 152\/b)*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.128 - 0.529. Let w = i - -0.067. What is w rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230 = -2895*z + 3018*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {b: 6, f: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 6*y - 5. Let d be x(-7). Let a be d\/3*(-1032)\/(-8). Suppose 5*g = 3*k - a, -g + 0*g - 106 = -3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 1. Suppose 4*q = -5*i + 18 + 9, -q - 2*i + 6 = 0. Suppose -q = -4*y - 32. List the prime factors of r(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 365*t**2 + 267*t - 807. Let k be a(3). Calculate the highest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18615196*d**2 + 4*d**3 - 18615196*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10320 (base 7) to base 13.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*(-40)\/(-12). Suppose -d*p - 16 = 9. Let w be p\/2*4\/(-5). Let x(q) = -q**2 + q + 1. Give x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -355*a**3*y**4 - a**3*y - 4*a**3 + 24134*a*y - 5100*y**4 - 2*y wrt y?\nAnswer: -4260*a**3*y**2 - 61200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 2, a: 4, z: 2, s: 3, h: 2}. Give prob of sequence ases.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-6))\/((-50)\/300).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -1) + -8 + 7. Let s be 1\/m - (-34)\/6. Let n be -3 + (4 - s\/2). Which is smaller: -9\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-36)\/8)\/(-1 + -4). Let a(b) be the first derivative of 0*b - 1 + 2\/3*b**3 + 1\/4*b**4 + t*b**2. Factor a(i).\nAnswer: i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*t - 3*v, -t + 62 - 23 = -4*v. Suppose q = 14*r - 11*r + t, 3*q = r + 5. Is r bigger than -98\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q = 3*k + 711, 0 = 5*q - k + 865. Let d = -169 - q. What is the least common multiple of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 0. Solve 3*g + 2 = -0*g - h, h + 5 = p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*119\/5355*-14*(-9)\/4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8196414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -267*a + 216. Let d(y) = -3*y. Let v be (-18)\/(-171) + 85\/95. Let h(j) = v*f(j) + 6*d(j). What is the derivative of h(o) wrt o?\nAnswer: -285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 122 (b) -0.313 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 5 + 3*z - 17*z - 5 + 41. Let b be j(12). Suppose 0 = -8*x + 17 + b. Solve 5*y - 10 = -x*m, y - 5*m - 8 = -34 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25595, -25280, -24755, -24020, -23075, -21920, -20555?\n\"Answer: 105*m**2 - 25700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 8. Suppose i = 6*f - 137. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 72 - 3*t**2 - 4*t**2 + t + 21*t**2 + 75.\nAnswer: 14*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -l - 3, 5*l - 2*g = -12 + 32. Let c be (3 - (l + 0))\/(-1). Are c and -5\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/120 + t**5\/20 - t**4\/6 + t**3\/2 + t**2. Let c = -33 - -63. Let i be ((-12)\/15)\/(6\/c). Give d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 l when four letters picked without replacement from pppppppplppppppppp.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1499 - 4509 + 1494 + 1503 - t.\nAnswer: -t - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092331201 to five decimal places.\nAnswer: -0.00923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 514 + -266. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1772, -3559, -5346, -7133, -8920, -10707?\n\"Answer: -1787*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3712128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 8\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.11946 * -0.1371.\nAnswer: -0.290577966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1304*d**2 + 644?\nAnswer: 2608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*o - 160*o + 49096 = 0 for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5070223 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -3. Let r = t + 3.5. What is the closest to -1\/6 in 1, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*j**3 - 4*j**3 - 52 - 60*j**3 to f*j**3 + w + b*j + k*j**2 and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 1, 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 0.2 (c) 2\/13 (d) -45 (e) -1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*u = -71, 208 = 5*l - 4*u - 52. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + -59)\/((12 + -3)\/9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 - 15*d. Let p(w) be the first derivative of -w**2\/2 + 15829. Let v be 18\/(-4)*30\/(-9). What is v*p(y) - z(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m + 4*d = 32*m + 100, -m = d - 40. Suppose a - 39 = 4*k, -3*k = -3*a + a + 78. What is the least common multiple of a and m?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974 is divided by 179?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-5\/6))**27\/(v**(-14)*v**(-32)))**(-2\/27) assuming v is positive.\nAnswer: v**(-191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -h - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let a = -537 - -1653. Let i(k) = 41*k + 1116 - a. What is u(i(p))?\nAnswer: -1681*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 112174 and -0.2.\nAnswer: 112173.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 2)*(-4*z - 2 + 7*z + 3).\nAnswer: -12*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5 - 5*i**2 + 8*i**2 + i**3 + 0*i**2. Suppose -w = -6 - 6. Suppose 3*r = -0*r - w. Determine d(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -237\/98537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 0.70717?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 69\/9. Let l = -2 - -7. Suppose l*a = 27 + 13. Solve 0 = 4*q - i + t, -4*i - a = -0*q + 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9697 and -149082.6745.\nAnswer: -158779.6745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1389265 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.264319 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-8)\/20 - -2. Let d(k) = -k**2 + 11*k - 6. Let s be d(10). Let m be (-134)\/17 + v + s. What is the third smallest value in 2, -5, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1273 + -841. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57822 is divided by 1292?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 7544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3\/n*n*n**7*((n\/(n*n**(1\/2)))\/n)**(-32)*(n**(-1\/4))**(1\/10)*(n*n*n**(-4))\/(n**(-2)\/n) assuming n is positive.\nAnswer: n**(2359\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p - 1. Suppose 4*y - 7 - 9 = 0. Suppose -y*z = z. Sort z, 4, p.\nAnswer: p, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91107*c - 28 = -91111*c. Solve 11*i + c = -37 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13020 by -2820.\nAnswer: -217\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 970376579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -987*c - 8691. Give a(-9).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286724491.\nAnswer: 173, 379, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -103, 17, -3432, -1, 5.\nAnswer: -3432, -103, -4, -1, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*n - 18 = 0, 0*n = -3*c + n + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178608 and 16937992.\nAnswer: 101627952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = 132. Let m = -18 - j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 - (-3 - -3)). Suppose -c*h + 8*h = 20. Solve 0 = z - 2*o, -h*z - o = -4*o + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 185\/20 - (-6)\/8. What is the highest common factor of d and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u + 7 - 25*u**2 + 15 - 18*u**2 - u**3 + 22. Suppose 0 = 5*a - 0*a + 165. Let d be w(a). Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1069074 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4365772 and 31\/39291948.\nAnswer: 39291948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (319\/55 - 6) + 52\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**3\/3 - o**2\/2 - 1. Suppose -102*u + 97*u = b, u = 4*b - 42. Calculate k(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13978 and -0.1.\nAnswer: -1397.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 300, 2061, 6692, 15627, 30300?\n\"Answer: 239*l**3 + l**2 + 85*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/15 + 584*m\/5 - 180166\/15 = 0. Calculate m.\nAnswer: 119, 757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*g + 4*g**3 + 19*g + (-4 + 4 - 2*g)*(3*g**2 + 3*g**2 - 8*g**2) + 2*g**3 + 0*g**3 - 3*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 16 = t + 4*m, -5*t = -3*m + 4. Let k = -1 + 1. Let b = k - t. What is the highest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.439 to one dp.\nAnswer: 25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Suppose 25*p - 84 - 16 = 0. Suppose -y + 2 = -4*s - 1, d*y - p*s = 48. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222715 by 4.\nAnswer: 222715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124220104 + 2?\nAnswer: -124220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14370\/(-1916)*(-2)\/(-6). Which is the second biggest value? (a) -45 (b) 2 (c) j (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**4\/4 + 37*s**3\/4 + 33*s**2\/2 + 11*s + 2.\nAnswer: (s + 1)*(s + 2)**2*(7*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31824380801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11042 (base 6) in base 14?\nAnswer: 7bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 + 391*g + 3817. Give s(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80652 divided by 611.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 2 - 6*p + 2*p + 0*p. Let s(o) = o - 4. Let w be s(3). Let u(t) = t. What is w*a(c) - 4*u(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*(-112)\/21. Let j be (n\/(-12))\/((-1)\/33). Suppose -122 = -3*h + j. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/(162\/(-36)). Factor -7\/3*y - 3*y**3 - 5*y**2 - r.\nAnswer: -(y + 1)*(3*y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -361*s + 360*s - 32, 4*h = -5*s - 105 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**4 + 6814*y**2 + 28*y + 33?\nAnswer: 12*y**2 + 13628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(72) + sqrt(40))\/(4*sqrt(72)) + 0.\nAnswer: 7*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 34*p**2 + 4 + 13*p**2 - 6*p + 34. Let x = 3547 - 3556. Is w(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 701510482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 707463 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 443699\/2 and 221849 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 30 - 23*j + 8*j + 5*j.\nAnswer: -2*j + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 0*h + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -862 (base 9) in base 12?\nAnswer: -4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 30*i + 1495. What is the tens digit of q(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 580520 and 4121692.\nAnswer: 41216920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 297274*g**3*r**2 - 78*g**3 - g**2*r**2 + 109*g*r - 78*g - 4*r**2 wrt r.\nAnswer: 594548*g**3 - 2*g**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Calculate -23 - ((12 - -10 - 2) + 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 19*z - 83. Determine l(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 23*z + 74. Let r be c(-7). What are the prime factors of (218 + r)\/((-3)\/(-3))?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r - 7. What is the least common multiple of r and (6\/(-18))\/(3\/(-198))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -586, -2237, -4986, -8833, -13778, -19821, -26962?\nAnswer: -35201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, j: 7}. Give prob of picking 3 j and 1 h.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012112011 + -11?\nAnswer: 11012112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437793.\nAnswer: 7, 205399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53219812 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 15.\nAnswer: -38\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79909 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0*j**3 - j**2 + 0*j + 1\/6*j**4 - 1\/120*j**5 + 1\/720*j**6 + 0. Let b(g) be the second derivative of r(g). Calculate b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 9. Let u(h) = 179*h**2 - 83. Calculate u(p(r)).\nAnswer: 716*r**2 - 6444*r + 14416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16\/8)\/(4\/(-18))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1338*i**2. Let k(b) be the third derivative of b**4\/12 - 845*b**2. Determine k(w(h)).\nAnswer: 2676*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4066010 and -85\/5880076.\nAnswer: 382204940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 3*d**2 + 4*d**5 + (3*d - 4*d + 2*d - d**2)*(3*d**3 - 6*d**3 + 2*d**3).\nAnswer: 5*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 8*t + 1. Suppose o + 1 - 6 = 0. Suppose o*m - 3*m = -18. What is the tens digit of d(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 13*b + 1. Let i be l(0). Suppose r - 11 + 1 = 0. Let o be (-10)\/24*r\/(-25). What is the biggest value in -4, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2 - 2)*(n**3 - n**3 + n**3) + (-2*n**3 + 2*n**3 - n**3)*(-12*n + 5*n - 11*n).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(((-30)\/(-20))\/((-21)\/7))*62.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2532, 5163, 7980, 11079, 14556, 18507?\n\"Answer: 16*r**3 - 3*r**2 + 2528*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:44 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssoosnsnssnt. Give prob of picking 2 o and 2 n.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*t = x + 33, -2*x = 2*t - 18. Suppose x*n = 2*n + 176. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 16*h**3 - 12*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from hhhhuuhuhhuuhuhuuu.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -14.974637.\nAnswer: 8.9847822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*h - 9 - 386*h + 95*h + 10*h**2 + 100*h + 96*h to r + v*h + p*h**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2178958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882)*-2 - sqrt(882))\/(sqrt(60)\/(sqrt(50)\/sqrt(5))).\nAnswer: -21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3628 - 0.36287866. What is m rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 199207004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(3\/7)\/v))\/v**11)\/(v**1)**(20\/9))**(-28) assuming v is positive.\nAnswer: v**(2936\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + -95?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.607 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i*i*i*i)**(-3)*(((i**0*i)\/i)\/i)**(-12) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010110 (base 2) in base 15?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263b3a (base 14) to base 11.\nAnswer: -81a195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 = -0*x. Let h be ((-5)\/x + -1)*3. Suppose -d + 12 = d. Solve 2*t = -d + h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + i**3 + i**3 - 3*i**2 - 2*i**3 + 3*i**2 + (-2*i**2 + 0*i**2 + i**2)*(-3*i - 4*i + 6*i) - i**3 + 2*i + 2*i + 1 - 2*i - 67*i + 67*i - 18*i**3.\nAnswer: -17*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5 - 4.5. Let m = v + -41. Let a = m + 40.9704. What is a rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25929 - 4.45929. What is the closest to -0.04 in c, 0.1, 0.2, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 0 - (2 - 0)*(4 - 67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 + -205. Let x be q*((-4)\/7 - 75\/(-70)). Let y(h) = -h**2 + 7*h - 8. Give y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.237 and 78.\nAnswer: 18.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23830b (base 16) to base 11.\nAnswer: 134a5a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 3426267?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 5*r - 7. Suppose -6 = -3*g + g. Let z(j) = j - 4 - 3*j - j**g + 1. Let m(y) = -2*s(y) + 5*z(y). What is the derivative of m(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/4002 and 25\/144739.\nAnswer: 868434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -109. Suppose -3*i - i = -u. Suppose a - 3*a = -i. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = 4*h, 4*y - 3*h - 11 = 2*y. What is the second derivative of 2*z**y + 5*z - 6*z**4 - 27*z**4 wrt z?\nAnswer: -372*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j**3 + 168*j**2 - 7*j + 122. Give i(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 3*s**3 - 6*s**3 - 3 + 3 - 2*s**3 + (-2*s**2 - s**2 + 4*s**2)*(s + s - 4*s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 24*n + 23*n = 154, -5*w - 70 = -3*n for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -33550238 bigger than -33550245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 0.3, -3\/3481, 0.5, 0.1 in descending order.\nAnswer: 0.5, 0.3, 0.15, 0.1, -3\/3481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/2671 - 5332\/13355. Let r = 2.92 + 0.08. Which is the second smallest value? (a) t (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/3)\/(2 - (-1370860)\/(-685428)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*k*q**2 + 25*k + 64*q**2 wrt k?\nAnswer: 14*q**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2801494 or -7.3?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0, -9829, -2 in increasing order.\nAnswer: -9829, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 100*r + 4400. Let p be h(-44). Factor 3\/4*l**2 + 9\/8*l - 3\/4 + p*l**4 - 3\/2*l**3 + 3\/8*l**5.\nAnswer: 3*(l - 1)**3*(l + 1)*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -91.2, 0, 0.4 in increasing order.\nAnswer: -91.2, -2, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u + 12 - 1 + 12*u. Is c(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25550771 - -42150786. Let o be 14\/8 + 2\/8. Suppose r - 5*r = 5*n + 33200025, -l = o*r + 3*n. What is r rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5111069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 13*i**9\/8 - i**7\/105 - 147*i**5\/20 - 3*i**2 + 64. Find the third derivative of x(g) wrt g.\nAnswer: 98280*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416064699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 2 + 2 - 2 + 1 + (-3 + 5 - 3)*(-2 - 1 + 2))*(1 - 2 - 3)*(-13*f - 72 + 72).\nAnswer: -208*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a0358d - 3?\nAnswer: -6a03592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125798, -503199, -1132190, -2012765, -3144918?\n\"Answer: x**3 - 125801*x**2 - 5*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 1:40 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11824*z = -11769*z - g + 55, -z - 1 = 2*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 9*l**5 - 147*l**4 + 201*l**3 + 2739*l**2 - 3738*l + 936 = 0.\nAnswer: -4, 1\/3, 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-10\/3)*a)*a*((a**8\/a)\/a*a)\/a assuming a is positive.\nAnswer: a**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/411921 and 37\/33.\nAnswer: 4531131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = y + 51. Let o be 27\/y - ((-13614)\/(-5))\/2. Is (-2)\/4*(4 + o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*i = 285*i + 4*x + 152, 3*i - 5*i + 2*i + 12*x = -36 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -1\/2 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -664 - -1365. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47624799 + 15975201 = 3*k. Round k to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263814?\nAnswer: 2, 3, 43969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6423 + 3853. What is p rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + -0.2. Let d = 0.07 - m. Which is the biggest value? (a) d (b) 5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 36*x**2 + x - 1. Let b be o(1). Suppose 4*u + b = -4. Is 5 a factor of ((-18)\/10)\/(3\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 2*o + 1. Let g(n) = -112*n**3 + 1657*n - 5. Let m(r) = g(r) + 5*t(r). Find the second derivative of m(y) wrt y.\nAnswer: -612*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 + 1252*a**2 - 97340*a - 98596 = 0. Calculate a.\nAnswer: -1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2095 or 2092?\nAnswer: 2092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**3 - 38343*y**2 - 40844880*y - 13610700.\nAnswer: -3*(y + 2130)**2*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 831.99 - 832. Let d = 10 + -9.93. Let q = 3.93 + d. Are h and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692223 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11\/3 (b) 0 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f**2 - 5*f - 4. Let i(g) = 32 + 3*g**2 - 14 - 19 - g. Determine -2*b(w) + 9*i(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l - 19 - 14 + 78 - 17 - 20 to m + a*l and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2 - j + 19. Let p be y(-4). Suppose 4*m - 14 - 2 = 0, 3*m = -a + p. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 3*g + 4. Let c = 7 - 7. Let p be x(c). Suppose 0 = -5*d - 3*i + 32, -2*i + 12 + 14 = 4*d. Solve 3*z - 2*n - 30 = -d*n, p*z - 8 = 4*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 + 1 = 0, -4*y - 406 = -2*d. Round y to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.29 (b) 0.7 (c) 1 (d) 3\/196 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -556 - -756. What is the highest common divisor of k and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*a = -0*a - 10, -8 = 3*v + 4*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + -13 - (0 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 1639*p**5\/60 - 67*p**4 + 1843*p**2. Find the second derivative of k(o) wrt o.\nAnswer: 3278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20 + (-2244)\/110)\/(32\/(-230)) and -151\/954.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5936\/11760 + (-3)\/5 - 303406\/21. What is i rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3435 and 4\/127515.\nAnswer: 29200935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1646 = -t, 2*t - 5648 = -4*g + 944. Does 24 divide (g\/24)\/(10\/8 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + -1.37. Let z = 0.3 + i. Put z, 16, -0.2 in descending order.\nAnswer: 16, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2044839\/21190 - -2\/10595. Let d = v + 96. Sort 1\/69, 2, d in ascending order.\nAnswer: d, 1\/69, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*r - 201 + 245, 4*o + 32 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10562, -21081, -31600, -42119, -52638, -63157?\n\"Answer: -10519*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193974687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53030 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8850 by -1.\nAnswer: 8850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4909*a**3 + 2*a - 2*a.\nAnswer: -4909*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b1 (base 12) in base 15?\nAnswer: -1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560, 566, 592, 644, 728, 850, 1016, 1232?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 74298457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 25. Let p be i(9). Let h = 8 + p. What is the remainder when 6 is divided by (0 - 1*-1) + (-4 - h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1234 (base 12) to base 16\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15871595*c**4 - 8*c**2 - 5*c - 129671?\nAnswer: 380918280*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*v - 6*v - 12 = 0, -5*c = 2*v + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**7\/140 + b**4\/2 - b**3\/3 + 10*b**2. Let k(f) be the first derivative of w(f). Differentiate k(g) wrt g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -332)*(-8)\/4. Let a = h - 35. List the prime factors of a.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v + 2. Suppose -5*n + v + 33 = -5*f, 0 = 4*f + 4. Solve 0 = -n*y + 2*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1085127149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176566*x**2 - 353133*x**2 + 176566*x**2 + 4*x + 5)*(-x**2 - 3*x**2 + 6*x**2).\nAnswer: -2*x**4 + 8*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -10 - 6)*3\/(-252)*-3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245*o*v**2 - 274*o*v wrt v.\nAnswer: 490*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-14) + (-8)\/(224\/(-56180)). What is the third derivative of -123*g**6 + 9*g**2 - 33*g**6 - q*g + 2 + 2007*g wrt g?\nAnswer: -18720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62704 by 15676.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 1 = s. Let h = s + -8. Let i be h\/(-1)*6\/(-9). Calculate the highest common factor of 18 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 51. Suppose 3*c = 5*u - q - 0, 2*u = -2*c - 6. Let k = -26 + 215\/8. Which is greater: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*f + 107. Let i(s) = 3*s. Let c(y) = 16*y. Let r(d) = f*i(d) - 4*c(d). Let g(u) = -12*u**2. Determine g(r(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s + 24 = 0. Let p be ((-6)\/s)\/((-2)\/(-20)). Let h(w) = w**2 - 9*w - 6. Let z(a) = -a**2 + 8*a + 6. Let q(r) = -2*h(r) - 3*z(r). Give q(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 1, f: 1}. What is prob of picking 1 j and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001520978543 to seven dps.\nAnswer: 0.0001521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a - 227. Let l be u(29). Suppose l*s = 60*s + 408. Calculate the remainder when s is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*w = -8*x, -15 = -5*w. What is the derivative of -x - 5 + 5*n**2 - 2 + n - 4 wrt n?\nAnswer: 10*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -179354.\nAnswer: -2152248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000092135 to 6 decimal places.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12959 - 7332. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = -1. Sort 6, 2, f in increasing order.\nAnswer: f, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.4 + 5300.43878332?\nAnswer: 5034.03878332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -2 (c) -2\/5 (d) 8 (e) -4.7 (f) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-57)\/(-21280))\/((2\/16)\/(4\/(-120))).\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/25665 and -53\/5133.\nAnswer: 25665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1883486 - 1862825 = -18*s + 817967. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79\/67308*355)\/((-3)\/(-2)*4\/9)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61, 879, 3083, 7345, 14337, 24731, 39199, 58413?\n\"Answer: 112*k**3 + 21*k**2 - 29*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (sqrt(98)*1 - sqrt(98)) + 2 + (sqrt(16) + sqrt(32)\/sqrt(2)*3 + sqrt(16))\/sqrt(8) + 1)*6.\nAnswer: 18 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -26, -24, -20, -14, -6, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4199 divided by 17.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 92.91368 days?\nAnswer: 8027741952000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010110 + 1?\nAnswer: -10010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37272, -36880, -36486, -36090, -35692, -35292, -34890?\n\"Answer: j**2 + 389*j - 37662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 328*l + 1800 wrt l.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or 11?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -251.\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*r + 2*x, 393*r = 397*r - x - 24. Factor -2\/13*k**r + 12\/13*k**3 - 18\/13*k**2 + 0*k + 0.\nAnswer: -2*k**2*(k - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -913276 + 1351085. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -152*s + 1191. Determine h(9).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (3 - 10)) + 2 - (-7 + -11 + 63)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + i = -16299, 2*a = -i - i + 6522. What are the prime factors of a?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/5 - (4 - 2). Suppose 4*q = q + f + 9, -4*q = -2*f - 10. Let o be 6\/10 + 2\/5. What is the closest to 0.1 in q, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589584 is divided by 3595.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(45 - 19 - 22)*(2*o - 48*o - 40*o).\nAnswer: -344*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 8*w + 16. Let n be (-1)\/(-5)*73 + w\/(-20). Solve -a + n = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from {r: 2, f: 17}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -8 (b) -21 (c) -0.1 (d) 0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - (-42 + 125 + -73).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + x - 7, x = -a + 2. List the prime factors of (a + -1)*(1 + 10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 25 = -4*o, -4*o - 4*b + 32 = o. Let u be 6\/(-4)*(-64)\/12. Let q = u - 6. Sort q, o, -3 in descending order.\nAnswer: o, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 3, f: 2}. What is prob of sequence ffhz?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8050579 kilometers to meters.\nAnswer: 805.0579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 8:19 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, c: 3, s: 4}. What is prob of sequence zzs?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 468251 and 33\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 15\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -1.2. Let r = -50 - -48. Which is the smallest value? (a) r (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**3 - 22*w**2 - 314*w. Let c(z) = -2*z**2 - 4*z. Let n(x) = -c(x) - q(x). What is the second derivative of n(p) wrt p?\nAnswer: 42*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12103032 - -1?\nAnswer: -12103031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -72786093 to the nearest 1000000.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 10:46 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 11:46 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 3.94. Let r = 4 - f. Which is the nearest to 0.1? (a) -4 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 - 349*o**3 - 19*o**2 + 373*o**3.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = -4*b, -2*b + 7 = -6*b + 5*x. Suppose -5*a = 5*h - 90, 0 = 4*h + b*a - 114 + 34. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 - 23*d - 6. Let v be y(8). Which is the second biggest value? (a) -22 (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 2*c**2 + 3*c. Let v(p) = -p**2 - 21*p - 15. Let z be v(-20). Let a(d) = -4*d**3 + 5*d**2 + 7*d + 1. Give z*r(q) - 2*a(q).\nAnswer: -2*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 19*y = -4*c - 8086, -c = -6*y + 24258. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*b = 12, -2*k - 3*b = -0*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.071, 5, -5, 0.1.\nAnswer: -5, -4\/7, 0.071, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71.6 - 71.4. What is the closest to -2 in -0.2, 4, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = g + 3*c, 4 = -4*g + c - 3. Let d(v) = -v - 2. Let i be d(g). Let n be (0 + 6 + -1)\/i. Solve 0 = -5*s - 5*a + 3 + 2, 0 = n*s - 2*a + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, o: 3, v: 1, a: 3, u: 1}. What is prob of picking 1 r and 1 o?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14812, 4 in increasing order.\nAnswer: -14812, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*x + 745, -5*x = -5*k + 880 + 50. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q + 4*q + (-99 + 165 - 144)*(-2*q - q + 2*q))*(8*q**2 - 6*q**2 + 8*q**2).\nAnswer: 770*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 8*t + 7. Let p be g(-7). Suppose -4*r = -2*w - 5 + 43, 5*w - 109 = 3*r. What is the highest common factor of w and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 8) to base 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005092 to 4 dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 15*f - 13 - 15*f)*(-3 - 5 + 6)*(23 - 6 + 32)*(-3 + 3 + f) in the form g + v*f + w*f**2 and give v.\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 96165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q*q\/(q*q**(-2\/9)*q))\/(q\/(((((q*q**7)\/q)\/q)\/q)\/q)*((q**(-3\/7)*q*q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 5 = 25*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + 6*l**2 - 4*l + 4. Let g(p) be the third derivative of -p**6\/24 + 11*p**5\/60 - 7*p**4\/24 + 7*p**3\/6 + 2*p**2. Give 7*b(j) - 4*g(j).\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -26, 3, -2.3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - (-92)\/(-12). Let l(m) = -m - 4. Let q be l(y). Suppose 0 = 5*t + q - 23. Solve 0*a - 16 = -t*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 3*p - 3*p + p. Let d(y) be the first derivative of 0*y**2 + 2\/3*y**3 + 0*y - 5. What is d(r(l))?\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141093 and 21.\nAnswer: 987651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3517\/5 + 704. Which is the second biggest value? (a) -1.8 (b) -0.2 (c) y (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(539)*-6)**2 + 4 + 3.\nAnswer: 19411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 23 + 2 = 3*m, 0 = -4*m + d + 39. Let b(w) = w**3 - 9*w**2 - 7*w - 4. Determine b(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/306745 and 17\/5.\nAnswer: 306745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 712.24 or 2.3?\nAnswer: 712.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a + 12 = 0. Let l(x) be the first derivative of -1\/2*x**4 - 2\/3*x**3 + 1\/6*x**a + 1\/5*x**5 + 1\/2*x**2 + x - 2. Let l(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7 - w - 5 - 3. Let f be t(4). Let o = f - -6. Solve -2*a + o = -7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 90.7 (b) -0.1 (c) 10 (d) -27 (e) 4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15 - (29 - 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y = -22494 + 22788 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 19}. What is prob of picking 4 n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - 130. Let o(g) be the first derivative of -g**4\/6 - g**3\/3 + 2*g**2 - g + 2. Let z(l) be the first derivative of o(l). Give z(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*s**3 - 132*s**3 - 4*s**2 + 0*s + 2*s**2 - 1 - s to z*s**2 + u + w*s + f*s**3 and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319.1 + 269. Let o = f - -3.1. Let r = 43 + o. Which is the third smallest value? (a) -1 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + 57. Suppose -j = 4*j - d. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 6607650?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 1440?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114*o*p*s**3*u + 21*o*s**2 - 78*o*u + 6*p*s**3*u + 5*p*s**3 + 32995*u wrt o?\nAnswer: -114*p*s**3*u + 21*s**2 - 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 3*d**3 + 1\/20*d**5 - 3\/4*d**4 + d**2 - 135*d + 0. Calculate s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113100 is divided by 217?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 10:45 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 1. Let a(f) = -23*f + 395. Let d be a(17). Suppose -6*y + 4 = -2*y. Let r(u) = -u + y + d*u + u. What is -6*q(k) + 5*r(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/(i\/i**(3\/2)))\/i)\/i*i)\/(i**(-8)\/i)*(i**(2\/9))**47 assuming i is positive.\nAnswer: i**(377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 13 = 1. Suppose -h*d + 22 + 22 = 0. What is the least common multiple of d and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-6)\/4 + (1845 - 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*18*(-28)\/(-126).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:21 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49410?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -17. Let v = 2.55 + -98.55. Let a = -97 - v. What is the nearest to 2\/3 in a, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + -7 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/111417659 or 1?\nAnswer: -3\/111417659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4\/7, -1.56, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(0 - (-2)\/(-16)). Suppose 2*o = 4*k + 50, b*k - k + 52 = 2*o. Let c(l) = l - 3. Calculate the lowest common multiple of c(7) and o.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 324 + 527 = 0. Let d = c - 600. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1788470 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 3*j. Determine v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3357\/10 - -336. What is the closest to u in -1, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1779556 - 70091*o**2 - 1779556.\nAnswer: -70091*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -821473, -821475, -821491, -821527, -821589?\n\"Answer: -k**3 - k**2 + 8*k - 821479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10530 is divided by 1452.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 36413*u + 36414*u = -6, 108 = f - 4*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14833163*b. Let v(f) = -4*f. What is n(v(a))?\nAnswer: -59332652*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3213 + 3413. What is the greatest common divisor of 112 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/1812965, 5\/4, 0.1, 0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/1330279 or 1?\nAnswer: 45\/1330279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*m + 285 = 218*m. Solve 0 = -7*o - 22 + m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/7, 7\/27, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 98\/4*(-168)\/(-98). Suppose -g = -o - 4. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f**3 + 409*f**2 - 306*f - 116. Let x(a) = -33*a**3 - 819*a**2 + 612*a + 231. Let u(i) = -9*l(i) - 4*x(i). Factor u(n).\nAnswer: -3*(n - 1)*(n + 20)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 1448, 3162, 5538, 8576, 12276?\nAnswer: 16638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872746 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/162 and 21\/42415?\nAnswer: 6871230","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 1. Let b be u(2). Let s(o) = -o + 9. Let m be s(b). Differentiate -4 - m*y + 0 + 1 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97.66*0.94\nAnswer: -91.8004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 26. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2 - -2)) + (145 - 130) + 10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3 + 0*k**4 - 1\/2*k**6 + 0*k + 0*k**2 + 10\/3*k**3 + 0*k**5. Find the third derivative of q(u) wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.6 - -12.4. Let x = -27503191.9999664 + 27503245. Let r = m - x. What is r rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 18873*y.\nAnswer: 3*y*(y - 6291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-2) + 5)*-4. Let d be 1\/3*(1 - -17). Solve -2*g - w = -d*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001018988 rounded to seven dps?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/11, -1\/8, 3, 4.\nAnswer: -2\/9, -2\/11, -1\/8, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w + 21*w - 18920. Calculate the remainder when w is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:31 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8209175 divided by 126295.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -205 - -210. Put u, 1\/7, -7, -1\/2 in decreasing order.\nAnswer: u, 1\/7, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - (sqrt(225) + -2*sqrt(225)))\/sqrt(3) - sqrt(12)\/(sqrt(4) + -6*sqrt(36)))**2*-2.\nAnswer: -63654\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009178816 to 7 decimal places.\nAnswer: -0.0009179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = 36. Let g be ((-165)\/12)\/((-12)\/16). Let u = g + n. Which is the second biggest value? (a) u (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5988*k. Let i(m) = 2*m. Calculate g(i(j)).\nAnswer: -11976*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700\/140 + (-39)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r - 3*r + 50 + 12*r + 0*r. What is the remainder when v(10) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -43. What is the remainder when w is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5209705 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 392 = 141*v - 137*v, -2*w + 5*v + 849 = 0. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t + 20*t + 7547*t**2 + 4*t + 6*t + 7550*t**2 - 15094*t**2.\nAnswer: 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12200 (base 3) in base 10?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**3*u - 207745*s**2*u + 3*s - 8*u + 2161 wrt s.\nAnswer: -12*s*u - 415490*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2509, 2212, 1915, 1618, 1321, 1024?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 19 = -n + 1, -2*f - 5*n = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 11*y**3 + 128\/3 - 1\/3*y**4 - 44*y - 28\/3*y**2 = 0?\nAnswer: -2, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16417*v**4 + 7 - 16419*v**4 - 10 + 59*v - v**2 - 2*v**3 to u*v**3 + l*v + i*v**4 + y + w*v**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29338777?\nAnswer: 13, 23, 98123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 + 8 = 0. Suppose 1 + f = q. Suppose 12996 = 3*o + 5*b, -5*o = -q*b - 25191 + 3565. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k - 4*k - 128*k**2 - 406*k**3 + 9*k + 3*k**3 wrt k.\nAnswer: -2418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 27*p**2 + 120*p + 776. What is u(18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5016 + 8960. Let t = -23609\/6 + d. What is the common denominator of t and -35\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*u - 20, 4*v - v - 2*u = 20. Let h = v - 2. Let -2\/5*d**h - 2\/5*d + 0 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 3*o**6\/10 - 5*o**3\/3 + 8*o. Find the second derivative of p(v) wrt v.\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from uuuuuuuuyyuyuuyuuu?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -768 (base 9) to base 7\nAnswer: -1556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**3 - 7*n**3 - n**3 + 2*n**4 - 2*n**2 to the form q*n**4 + f*n**2 + r + c*n**3 + v*n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) 5 (c) 219.21 (d) -2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 140\/(-30) + 4\/6. Let m(t) = t**3 + 3*t**2 - 5*t - 1. Let j be m(k). Suppose 60 = 3*l + 3*d, -j*d + 3 = l - 11. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12256 smaller than 12256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - 2. Let w be n*1*217\/(-14). Which is smaller: w or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 180 + 3*d - 179)*((3 - 3 + 2)*(1 - 1 - 1) + 13 + 17 - 9) - 207 + 207 - 7*d to the form h*d + b and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12\/23 - 1\/46. What is the second biggest value in -0.3, 0.2, v, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83\/2 - 42. Let h = -33.9 + 34. What is the nearest to 1 in -3\/7, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:52 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 394 and -0.2.\nAnswer: -78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 441915 divided by -441915\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 - 3. Let a = 561097.9 + -561098. What is the second smallest value in a, -7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56446*z - 118 - 191 - 56450*z + 309.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686501.2kg to tonnes.\nAnswer: 686.5012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.31202t to kilograms.\nAnswer: 85312.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19083 is divided by 258?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/(231\/36)*169\/(-416)*8 and -61\/1405.\nAnswer: 15455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7*g + 950 = -11*g, -t - 3*g + 475 = 0. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1194 - 4276 = -5*j. Suppose -j = 8*g - 3374. What is the remainder when g is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -681, -212.83 in descending order.\nAnswer: 0.02, -212.83, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/30 and 55\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-2*(-1 + sqrt(13)) - (sqrt(637) - (sqrt(637) - (sqrt(637) + sqrt(637)*2 + sqrt(637)))))**2 - (sqrt(325) + -2)**2*-1))*-6.\nAnswer: -72168 + 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88400 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 3567 in descending order.\nAnswer: 3567, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.69 + 1.68999467. Round m to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-40) + 508\/15)\/(8\/24). Solve 0 = -81*r + c*r + 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0110721795 rounded to 5 decimal places?\nAnswer: 0.01107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 6*u + 3. Suppose 3*y = -2*r + 37, -5*y + 0*r + 61 = 4*r. Let x be 30\/(-4)*(-24)\/10. Let z = x - y. Calculate c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afn when three letters picked without replacement from ahnafmnhkhhahhfamn?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2801251 - 5?\nAnswer: -2801256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5224 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 2*u + 12*m - 78, 3*u - 4*m - 152 = 0. Suppose 2*a + 5*w - 10 = u, -5*a + 162 = -w. Solve -h + 9*h + a = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:51 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 15*s. Let o(f) = 27*f + 4. Let r(y) = 75*y + 11. Let b(m) = -11*o(m) + 4*r(m). Calculate b(q(j)).\nAnswer: -9*j**2 + 45*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/20 + 5*w**4\/12 - w**3\/6 + 3*w**2 + w. Let s be (0 + -1)*(5 - 0). What is the tens digit of q(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1990 + 1990.1. What is the second biggest value in k, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(8\/24)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 1. Let t(m) = 2480*m + 1. Determine -2*a(k) + t(k).\nAnswer: 2486*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318215 and 1395?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 6*a - 60 = 0. Let b be ((-1415)\/(-220) - a\/4) + -5. Which is bigger: -14 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 8*u**2 + 10*u + 7. Suppose -j + 2*z = 0, 4*j = -2*z + 3*z - 21. Let b be w(j). Calculate the highest common factor of 114 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(17) + 0 - ((1*sqrt(612))**2 - sqrt(17))*4 - ((0 + sqrt(2057))*3*1*2)**2.\nAnswer: -76501 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**3 + n. Let a be x(1). Let r = a - -7. Let 12 + 0*u + 5 + 1 - 12*u + 2*u**r = 0. Calculate u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17687, -17688, -17689, -17690, -17691?\nAnswer: -17692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 387 = 11*i, -495*u + 490*u = -14*i + 519 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136184119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -2*v - 1\/20*v**5 - 1\/6*v**4 + 0 - 1\/2*v**2 + 1\/6*v**3. Does 23 divide z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:25 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1656 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.6694 rounded to zero decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*a - 59*a - 7 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -327306 (base 8) to base 5\nAnswer: -12012103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-731)\/51)\/(-43)*(-1)\/(-1). What is the third biggest value in 6, -0.8, b?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 65?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + o - 3*o + 3*o)*(-o**4 + 2*o**4 - 3*o**4).\nAnswer: -2*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00148209444 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2559544, 5119087, 7678630, 10238173, 12797716, 15357259?\n\"Answer: 2559543*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -p - 7, -p - 3*i - 9 = -23. Solve -3*s - 1 = k, 6*k + 20 = 8*k - p*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*z + 4*v, -3*v + 54 = 4*z - 6*v. Suppose 0 = -2*u - 3*u + z. Suppose -102 = -u*s - 24. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*((1 - 22) + 107158\/5109)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408382.5 years to months.\nAnswer: 4900590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*t - 368, 0 = -4*o + 2*o - 5*t - 208. Let y = 142 + o. Calculate the highest common divisor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*j**3 - 27\/2*j**2 + 0 + 0*j = 0. What is j?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65 - 65 + 43*n + (n + 0*n + n)*(0 + 0 - 1).\nAnswer: 41*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 172*u - 28. Let p be x(4). What is the highest common divisor of 60 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 805\/66 (b) -1\/6 (c) 0.04 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8441325?\nAnswer: 3, 5, 37517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -3. Suppose 4*x - j - 51 = 0, 49*j = 45*j + 4. What is the remainder when n is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/42836125 and -46\/11727.\nAnswer: 385525125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 7, n: 2, h: 6, r: 1}. What is prob of picking 3 h and 1 y?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2231 - -1339. Are -892 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6671 + -1a633?\nAnswer: -13b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.254 - -1.536. Let i = n + 0.21. Let k = i - 7.4. Which is the third smallest value? (a) -5 (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h + 90 + 106 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*l**2*x**3 - l**2*x**2 + l**2*x - 47*l**2 + 3*l*x**3 - 3*x wrt x?\nAnswer: -468*l**2*x - 2*l**2 + 18*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -57*-10.9\nAnswer: 621.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 - 48*r - 122. Calculate c(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3642404?\nAnswer: 2, 509, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 12*t**3 - t**4 - 1 - 8*t**2 + 0 + 17*t**3 - t**2 + 7*t.\nAnswer: -(t - 2)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/10*(-1530)\/595*14*(-1)\/(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*l - 6 = 0, -24 = 4*q - 6*l + l. Let w be (-19)\/3 - (-4 + (-28)\/q). Let y(z) = -z**3 - 8*z**2 - 10*z - 16. Give y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 58. Calculate the remainder when 159 is divided by (-114)\/152*w*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -928 - -630. Let v = p - -323. Solve -29*w = -v*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 310713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + 0.1. Let u = 4 + -5. Let v be -1 + -2 + (-21)\/6*-1. What is the third biggest value in v, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6.6. What is the third biggest value in c, 0.8, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -48. Suppose 3*i + o*x - 3*x = 31, 0 = -2*i - x + 19. What is the lowest common multiple of i and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-600))\/((-12)\/(-384)*24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -3, -2, 9 in increasing order.\nAnswer: -3, -2, 3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145\/7 + -21. What is the closest to 1\/4 in -4, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 - 8*m + 2. Let t(h) = -3*h**2 + 7*h - 2. Let r(d) = -4*g(d) - 5*t(d). Let y be r(-4). List the prime factors of (((-120)\/(-4))\/y)\/(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/47 - 245\/94. Is x smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4266 + -4267. Which is the second smallest value? (a) -2\/11 (b) -1\/2 (c) 4.3 (d) m (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = k + 4. Suppose 28 = 2*o - k. Suppose -2*r = -3*v + 10, 5*v + 3*r = 3 + o. What is the nearest to 4 in 2\/5, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 + 1740*s**2 - 136500*s - 2649920 = 0. Calculate s.\nAnswer: -16, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u + 3*u**2)*(-28 + 28 - 65).\nAnswer: -195*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**2 - 246*g - 5043 = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 60. Calculate the smallest common multiple of 8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - -0.4. Let u = 8 + -71. Let l = u - -63.5. Which is the nearest to z? (a) 0.1 (b) l (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 3*r - 16. Let i(u) = u**2 + 2*u + 16. Let j(f) = -4*i(f) - 3*q(f). Give j(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*t*u**3 - 27*t*u - 2*t + 37*u**3 - 58*u**2 wrt t.\nAnswer: -24*u**3 - 27*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2. Let u(f) = 267*f**2. Calculate u(c(n)).\nAnswer: 1068*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.61044l to millilitres.\nAnswer: 76610.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1910, -0.1, 4, 91?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 2.6. Let r = 988\/9 - 110. Let i be 1\/(-3) + 1\/(-6). Which is the nearest to 2\/5? (a) r (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:53 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbg when three letters picked without replacement from {g: 2, c: 1, b: 1, u: 1, z: 2, e: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 368 - 2. Calculate the remainder when h is divided by 125.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 - 202*o - 234. What is x(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + -30?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, -6, -11, 4, -1.\nAnswer: -29, -11, -6, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760 = 1733*u - 1657*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10899227587456 and 2.2.\nAnswer: 10899227587458.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -4*j - 2*f, -7 = -3*j - f. Suppose j*l = -l. Let p be (-6)\/(-4)*6\/45. Which is the smallest value? (a) p (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 1\/3, -3\/8, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 - 4*i + 4. Let t be q(-3). Suppose 2*k + 4*y = 16, 0*y - t = -2*k + 2*y. Calculate the greatest common divisor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 = -13, -4*h - 3*u + 21 = 0. Solve 2 + 0 = g - h*c, g + 5 = -4*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9328 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -11*l**3\/3 - l**2\/2 - 14. Let y be q(-1). Does 14 divide 18\/45 - 366\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21201020000 (base 3) in base 12?\nAnswer: 73a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 190*m**2 + 190*m**2.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121.352 * 0.2.\nAnswer: 24.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 10*l**2 + 2240*l - 13509. Determine f(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2110112210?\nAnswer: -2110112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a second in milliseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10880000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(3*1\/3). Suppose 5*y - 9*y = i. Find the second derivative of 3*s - 2*s**5 + y*s + 10*s wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*r + 850*r - 30122 - 47130 = 378*r for r.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 406 and -0.5.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3375, -14291, -32763, -58791, -92375, -133515?\nAnswer: -182211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 2515.284?\nAnswer: -2515.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 6*n + 7. Let k be j(5). Suppose -a = k*a - 3. Suppose -r - a = -5. Solve -2*i = -r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + 364\/63. Let i be -3 + -1 + m\/2. Let n(z) be the third derivative of -z**4\/3 + z**3\/6 + 2*z**2. Give n(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 38, -7\/8, 0.1665, -0.2?\nAnswer: 0.1665","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250017862.\nAnswer: 2, 6869, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24326898?\nAnswer: 2, 3, 17, 238499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/2 of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 187*d - 100*d + 2 - 98*d. Let p(h) = 34*h - 6. Calculate 5*p(c) + 14*z(c).\nAnswer: 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -19*f + 10. Let t = -12 + 7. Let q be g(t). Calculate the highest common factor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.70288876 and -0.15.\nAnswer: 14.55288876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:51 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 10. Calculate the least common multiple of w(-4) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1065766.95 to the nearest 100.\nAnswer: -1065800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3100*l - 12875*l - 2 - 10770*l + 3.\nAnswer: -20545*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/9 (b) 0.1 (c) 242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4281 divided by -1427.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(312))\/sqrt(12)*1)\/(-5*sqrt(16)\/(sqrt(128)*-2)).\nAnswer: 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47498 + -23479. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 91*y**3 + 3*y**2 + 4*y + 3. Calculate c(-1).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 1, l: 1, g: 1}. What is prob of sequence vlg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5874 - -21035. Suppose -4*z - m + l = 0, 4*z - 5*m + 3*m = 15170. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -646, -1169, -1812, -2569?\nAnswer: -3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(138\/575)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -0, -w + 2*v = 1. Suppose 2*j - w*j = 0. Is j >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {r: 2, a: 5, q: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*d - 62*d - 3592*d**3 - 5 + 1057*d**3)*(3 + 6 - 5).\nAnswer: -10140*d**3 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89225096 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -78, -147, -244?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11165, -11167, -11169, -11171, -11173?\n\"Answer: -2*u - 11163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2999865112 and 0.3?\nAnswer: 2999865112.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 541000, 541002, 541004?\n\"Answer: 2*z + 540998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 1 (c) 16\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 a when three letters picked without replacement from kjjskqvjakkaak?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + c + 1 = 2, 2*l - 7 = c. Solve t - 4 = 3*t + l*k, 5*t - k = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 4 (c) -0.4 (d) -0.1 (e) 7\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7971 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 113*x**2 - 74.\nAnswer: -113*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1840 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.4, -3, 5\/14, 34?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267245, -534475, -801705?\nAnswer: -1068935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 4*l + 44. Suppose -l*z + 12 = 4*c, -3*c + 5*z = z - 23. Solve y + y + 16 = 4*f, -22 = c*y - 4*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1942051, -3884123, -5826195, -7768267?\n\"Answer: -1942072*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50879.\nAnswer: 83, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181102 is divided by 362.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*128\/((-36864)\/(-11880)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 680.005 + -679. Let u = 1.904 - v. Round u to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-225))\/(2084\/15630).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 164 = 44. Sort 0, 4, 2, h in decreasing order.\nAnswer: h, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10112131 - -222?\nAnswer: 10113013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 13*z**3 - 21*z**2 + 85*z - 50.\nAnswer: -(z - 1)**2*(z + 5)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q. Suppose q*a + 3*a = 3. Suppose 3*j - 1 - 2 = 0. Calculate the remainder when a is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713433863 to the power of 1\/2, to the nearest integer?\nAnswer: 26710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/6*(-8 - -5). Which is the second smallest value? (a) 1\/6 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 35*a - 38. Give w(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*n - 0*n. Let s be 39 - 1\/n*2. Solve f - 4*h + 11 = 0, -4*f - 6*h + s = -h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 6}. Give prob of sequence tzt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(448) + -2)**2 + 2 + sqrt(448)*2 + -3 + (sqrt(448) - 1*sqrt(448)) + 3 + 1.\nAnswer: -80*sqrt(7) + 4043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*t + 191*t - 144*t - 3*t**3 - 4 as a*t + o*t**3 + v + r*t**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r + 5. Suppose -5*v + 2*y + 3 = 0, -2*y - 2*y - 1 = -5*v. Let q be (v - (2 - 0))*3. Is z(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 40752120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12570619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, p: 8, h: 1, a: 1}. What is prob of picking 3 e?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 17 - (12 + 0 + (-293 - -294) - 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((0 + -1 - -19) + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26902 - 26899. Let k(c) be the first derivative of 1\/4*c**2 - 5\/12*c**s + 0*c - 6 - 3\/16*c**4. Factor k(t).\nAnswer: -t*(t + 2)*(3*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -69 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}