diff --git "a/data/dm_maths/full_data/10551_11255.jsonl" "b/data/dm_maths/full_data/10551_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10551_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of (0 - -3) + (3 - 1) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let i(g) = 4*g**2 - 2*g + 9. Let l(s) = i(s) + 2*o(s). Let j(c) = -5*c**2 - 8. Let f(t) = 5*j(t) + 6*l(t). Give f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-35)\/20)*308. Is (12\/(-4) - -7) + h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, k: 1}. Give prob of picking 1 k and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/10 - (-44)\/5. Let v be (-64)\/(-28) + i\/(-28). Suppose 0 = 2*q + v*q - 24. Solve 0 = k - 3*k + q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.5473 - -5.5. Round o to 3 decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + -3.2. Let j = a + 1.664. Round j to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13034 and 2254.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 6*m - 13. Let n be f(4). Let p = 0 + -1. Put 1, 2, p, n in increasing order.\nAnswer: n, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000493 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let j(x) = -4*x + 3. Let n(t) = 11*t - 8. Let f(h) = -8*j(h) - 3*n(h). Let y be f(0). Solve -c + y*c = -u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + x**2 + 151 + 0*x**2 + 26. What is the tens digit of r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -302 + 596. Suppose a = -5*d - 2*d. Let x = d - -44. Solve 2*f - w = -1, f + 14 = -3*f - x*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:59 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12521016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 12?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4636 - -9a9?\nAnswer: 50e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-10758)\/99)\/(605\/1845 + 2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262 + 265.6. What is the closest to v in -5\/6, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + g = -1, 3 = -3*a + 44*g - 41*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = 14*o - 53*o - 137. Solve o*d + 144 = 43*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 439*f**2 + 9*f + 3. Let p = 769 + -771. What is the tens digit of n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*q - 25 = 0, k + 5*q + 5 + 0 = 0. Suppose k*o = -0*o + 20. Suppose -2*a - 4*t - 10 = 0, o*a = -a - 3*t + 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66655319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*n = 103*n - 43*n - 10449 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 40 = 4*y, y = -3*y - 4*s + 52. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -227840, -227914, -227996, -228092, -228208, -228350?\n\"Answer: -z**3 + 2*z**2 - 73*z - 227768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/35 (b) -2 (c) -0.4 (d) 4 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127401859367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2789 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from pfysssfs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 21 - (6 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11376799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hik when three letters picked without replacement from {i: 1, h: 2, k: 5, u: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1226, 1, -35 in descending order.\nAnswer: 1226, 1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(16)\/sqrt(4)))\/(sqrt(24) + 2*sqrt(24)))**2 + (1 + 3*sqrt(300))*1.\nAnswer: 13\/12 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -793002841?\nAnswer: 793002841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3681 by 1227.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 771814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1358712 = 14*p - 52289512. Suppose -3*n + 701271 + 5046741 = -3*h, 0 = -2*n + 4*h + p. What is n rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 19. Let q be x(-16). Let k be (-109 - 5)\/(138\/(-44) - q). What is the highest common factor of k and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/24 and (-3)\/2*1853\/(-37278)?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = 94*m - 156 + 288 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -388?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khph when four letters picked without replacement from {k: 2, p: 2, r: 1, h: 5}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/16 - 3*z**3\/8 + 5*z + 1. Let h(a) be the first derivative of s(a). Suppose h(f) = 0. Calculate f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 6*g = 5*r + 6*g + g - 73, -9*r = g - 101 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*l**2 - 62*l + 62*l)*(0 + 5 - 3)*(2*l - 5*l + l) to j*l**3 + d*l + g + y*l**2 and give j.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 + 1 + 2*z**2 - 4*z**3 + 4*z**2 + 0*z**2 + 3*z. Suppose -2*h = 4, -4*g + 5*h + 25 = -7*g. Let j be x(g). Solve -4*i - j = 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 115. Let x be n(37). Let l = 332 + -330. What is the closest to l in -5\/6, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 21 = o - 4*l, l = -4*o + 9. Let s be 40\/75 - 1\/5. Let g = o - s. What is the biggest value in 0, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1296 - 774. Calculate the remainder when r is divided by 233.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 - 30.57. Let w = -29.7 - x. Let p = w - 1.300062. What is p rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:18 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-654)\/(-15) + 0)*(-35)\/7. Let n = w + 413. What are the prime factors of n?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.029 - 0.3?\nAnswer: -8.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.5 - -36.4. Round r to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, 0.2, 932, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 9*m = 0. Suppose 6*l = l + 25. Solve 3*n + 5*s - 21 = m, l*s - s - 12 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7419 in 0.41, 3, 26, 3\/7?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**22*(f**4\/f)\/f assuming f is positive.\nAnswer: f**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -594 - 31*k**3 - 3*k + 594 to the form i*k + s*k**2 + b*k**3 + a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -568 - -555. Let k(z) = -56*z - 26. What is the units digit of k(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-70)\/(-120)*2\/(-7)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 16*k - 76. Let h be 15 + (-2)\/9 + (-188)\/(-36). Let q be a(h). What is the greatest common divisor of q and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253320 and 21900.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81656899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17207895171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 10 = 5*t. Let u(v) = -v**2 + 9*v + 2. Let g be u(9). Suppose 4*c + p = 18, -c = g*p + 3 - 4. Sort -2, t, c, 1.\nAnswer: -2, 1, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 68589 = -97*b + 102*b, 3*h = -6. What is b rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 3, l: 4, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g + 8*g - 2 + 1 - 5. Let f be (-3 + 1)*4 - -2. Let x(a) = 5*a + 7. Calculate f*x(r) - 7*i(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = -2*d + d, 0 = -d - j + 2. Let i(l) = -5*l - 16. Let u be i(-7). Let z(h) = -u*h**d + 17*h**2 - h + 7*h**2. Determine z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1389, 1437, 1485, 1533, 1581, 1629?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225 or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 34*p. Let h(c) = -6*c**3 + 45. Let q(z) = -z**3 + 2. Let m(r) = -h(r) + 5*q(r). Let j(i) be the first derivative of m(i). Give j(x(g)).\nAnswer: 3468*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q + 3*q**2 - 7\/2*q**6 + 14 - 27\/5*q**5 + 9*q**3 + 15\/4*q**4. Let y(j) = 0. What is j?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.2, 2, -8\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -2*n**3\/3 - 3*n**2 + 2*n. Let h(d) = -2*d + 2. Let o be h(3). List the prime factors of v(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)\/n*n)**(9\/5)\/(((n\/(n*n*n*n\/(n*n\/(n**9\/n))))\/n*n)\/n*n**13))**(-3\/25) assuming n is positive.\nAnswer: n**(51\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 104*h - 2977. What is g(59)?\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - m**4 + 3*m**4 + (4*m + 2*m**2 - 4*m)*(2*m + 0*m - 6*m)*(-1 + 1 - 2*m).\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -389 - -1241\/3. Calculate the common denominator of q and -59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 1 + -204 + 66 + 161?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 1061 = -6*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -4, 5, -8, 1258, 9.\nAnswer: -8, -5, -4, 2, 5, 9, 1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0 - v - 1\/6*v**3 - v**2. Let u(r) = -r - 14. Let s be u(-9). Calculate m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 - -2221?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 735897430 to the power of 1\/2, to the nearest integer?\nAnswer: 27127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*8\/((-336)\/(-18))*(-7)\/63*-105?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23553 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 18*j**2 - 26*j - 29. Let d be w(27). Suppose 16995 = 14*p - d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-3)*2)\/((126\/9)\/2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*m + 5*k + 52, 5*m + 3*k + 92 = 0. Let r be -4*(-1)\/10 - m\/(-35). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 1512 = -22*u - 12*u. Let r = -4\/607 - 15031\/21852. What is the common denominator of u and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 184*k + 142. Calculate the remainder when p(46) is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 498, -4, -5, -6, -1 in decreasing order.\nAnswer: 498, 0, -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 9*d + 84 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z - 6 - 4*z**2 + 4 - 4. Suppose 4*a - a = -15, -3*a - 23 = -4*k. Let i(o) = -6*o + k + 4*o + o**2 - 1 + 3*o. Give h(q) + 6*i(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*w = 0, -2*o = 2*o + w. Suppose -14*s - s + 56100 = o. Round s to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -367 - 1742. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/9)\/((-8490)\/7641)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21 + -22 + (-8)\/(-2). Suppose -t = d*t - 12, -26 = -5*f - 2*t. Which is smaller: f or 26\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 76 + 58 = 6*l, 0*f - l = -2*f - 2*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 5*p**2 - 10*p - 9. Let k be h(-6). Suppose s - k = -2*s. Let n = -26 + 27. Sort n, 2, s in decreasing order.\nAnswer: s, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 less than 271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6, -26 = -4*t - 4*u - 6. Put t, -3, 5, 3, 4 in increasing order.\nAnswer: -3, t, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, -1, -14, -25, -28, -17, 14?\n\"Answer: q**3 - 8*q**2 + 8*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 12244*k - 12249*k + 4*x, 0 = -3*k - 2*x + 38 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 take away -1829.5?\nAnswer: 1829.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/450 - x**4\/45 - x**3\/15 + 8*x**2. Find w, given that s(w) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 1, s: 1, p: 1, v: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 4:45 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**3 + 5*j + 9. Let k(b) = 1 + 4*b**3 - 6*b - 2 + 3*b - 4. Let h(q) = -5*k(q) - 3*l(q). What is h(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 7*w + 15. Let f(u) = -u**2 + 8*u - 6. Let a be f(3). Let x be t(a). Let s(y) = y + 5. Let l be s(x). Solve p = -3 - l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 0.02. Let g = 0.1 - k. Let j = g + -0.010065. Round j to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 - 12. Let q = 171.383 - c. Let h = q - 0.013. What is h rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834862?\nAnswer: 2, 3, 472477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (26 - 5) + 4 - (3 - 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299*m**2*t**2 - 110*m**2*t + 23*m**2 - m*t**2 - 196468 wrt m?\nAnswer: 598*t**2 - 220*t + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5280498 divided by -1760166.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539))**2 + -5.\nAnswer: -18*sqrt(19) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -a + 8, 0 = -a + 3*q + 5 + 1. Differentiate -29 - 3*j - 10*j**4 + a*j - 12*j**4 with respect to j.\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -44, -4 in increasing order.\nAnswer: -121, -44, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15592891 is divided by 13477.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 19 + 3. Suppose -5*r - 5 = 0, j + j - 12 = m*r. Solve -4*z = -3*q - 13, 0 - 7 = j*q + 5*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -14, -28, -56, -104, -178?\n\"Answer: -d**3 + 2*d**2 - 5*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -3. Let l = 0.91 + -0.01. Let m = -0.1 - l. Which is bigger: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, a: 5}. Give prob of sequence caaa.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 11*l**2 + 8*l + 19. Let f be u(10). Let j be ((4\/(-12))\/1)\/(f\/12). Solve -4 = -3*a + a - j*r, -2*a = 5*r - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -928 - -1336. Let v = 411 - p. Solve v*q - 9 = 0, -4*q = 2*g - q - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h + 3. Let z be k(-5). Factor -4*o**4 - 33*o**3 + 13*o**3 - 5*o**2 - o**2 - z*o**2 + 16*o + 32.\nAnswer: -4*(o - 1)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i - 28. Let h be f(-17). Suppose 0 = 3*a - 545 + 170. Let d = a + h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 0.158, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1 + (1 - 4 + 0)*(1 - 1 - o) - 788 + 788 - 29*o)*(-294 + 17*o + 294).\nAnswer: -408*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/60 + 95*r**4\/24 - 97*r**3\/3 + 1369*r**2. Determine q, given that v(q) = 0.\nAnswer: -97, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 10 + 19)*(-53*k - 24*k + 93*k).\nAnswer: 544*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 161076 + 161074 + h**2 - 322145. Let m(f) be the third derivative of -f**4\/24 - f**3 + f**2. Determine -6*c(v) - 5*m(v).\nAnswer: -6*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-22) + (-3915984)\/(-1760). Let a = n + -2235. What is the common denominator of a and (-1)\/2 - 170\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1.525297\nAnswer: -0.6101188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 3*l**4 + 2*l**5 + (2*l - l - 2*l)*(-4*l**4 + 0*l**4 + 0*l**4).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 266521, 265523, 264523, 263521, 262517, 261511?\n\"Answer: -k**2 - 995*k + 267517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2688867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 456*t**2 - 244*t - 2666. What is the units digit of a(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(693)\/(sqrt(44)\/sqrt(4)) - (-4*-2*sqrt(63) - sqrt(63) - sqrt(63))))\/(2*-1*sqrt(441) + -2*sqrt(441)*-4).\nAnswer: -5*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-219)\/(-228))\/(4 - 2) - (-4)\/(-38). Factor 3\/4 - 3\/8*n**2 + q*n.\nAnswer: -3*(n - 2)*(n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.2 in -3, 3\/4, 5979, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q - 6 + 3*q + 8*q + 5*q to the form f + l*q and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1851 - -1842) + (0 - -11). Factor 26\/5*v + p*v**3 + 4\/5 + 32\/5*v**2.\nAnswer: 2*(v + 1)*(v + 2)*(5*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2975*m**2 + 610*m - 15 = 0.\nAnswer: 1\/35, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.908483 months to millennia.\nAnswer: 0.00190904025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o + 5. Let r(u) = 9*u + 6. Let k(g) = 63*g + 42. Let p(l) = 4*k(l) - 27*r(l). Let q(i) = 5*p(i) - 6*s(i). Let j(x) = 2*x. What is j(q(z))?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 9752*k - 5943844.\nAnswer: -4*(k + 1219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/42 - (594\/(-63) - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*c - 103*c + 89. Let x = c + 103. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94010 = 59*d - 433155. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 3*b**2 - b**2 + 0*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2915 divided by -39.\nAnswer: -2915\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185 + -191. Let d(z) = -z**2 - 20*z + 7. List the prime factors of d(a).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347.579113 rounded to one dp?\nAnswer: -1347.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -291784\/3713 - -13094348696\/256197. Let b = 51031 - o. Find the common denominator of (-1)\/4 + (-627)\/(-108) and b.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u - 3*u - 671121 + 671145. Determine t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 404 = 2*w - w, -3*w = 5*h - 498. Calculate the remainder when h is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by -1.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9 = -41. Suppose 2*h + 0 = u. Let n(l) = -l**3 + 5*l**2 - 6*l + 3. Give n(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/120 - 3*b**5\/20 - b**4\/8 - 17*b**3\/6 - 2*b**2 - 85*b. Determine i(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/7 - (-5 - (-160)\/35). Suppose -4*s + 4 = -0*p - i*p, -3*s + 11 = -5*p. Which is the closest to -4\/13? (a) 1\/9 (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0 (b) 6\/7 (c) -2\/3 (d) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47679631.\nAnswer: 47679631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*a + 60, 180*m + 4*a = 179*m + 3 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*q - 495, z - 16 - 134 = 4*q. What is the highest common factor of z and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112*h**2\/5 - 783*h\/5 + 7\/5.\nAnswer: -(h + 7)*(112*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1704, 0.10526, 3 in descending order.\nAnswer: 3, 0.1704, 0.10526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c + 13\/3*c**6 + 0*c**5 + 7 - 35\/2*c**2 - 1\/6*c**3 + 0*c**4. Find the second derivative of b(h) wrt h.\nAnswer: 1560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ootoodttotottdodo. What is prob of picking 3 d?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 10*t**2 + 13*t + 4. Give x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-25)*0*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 177\/4 + (6 - (-50)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4\/3 + 152*z**3 + 25064*z**2\/3 - 35264*z + 107648\/3 = 0.\nAnswer: -116, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 5*c**4 - c**3\/3 - 23*c**2\/2 - 14*c. Let t(b) be the first derivative of w(b). Is t(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104894316.7 - -4.4\nAnswer: -104894312.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/46 + 3\/23. Which is the smallest value? (a) -2\/15 (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45845204 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-7 + -71 - 2).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669753972 to the power of 1\/2, to the nearest integer?\nAnswer: 25880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5551419 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 3*m - 4*m - m - 2 + 2 + (-4 + 3 + 3)*(0 + 0 + m) + 19 - 12*m - 63 + 49 to x*m + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 39 = 107. Let v be (-14)\/7 + g*1. List the prime factors of (2\/(6\/v))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*q - 22 = 0, -45*q = 3*u - 43*q - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47226 + -55.\nAnswer: -47281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 14 - 32)*(-5*h + 2*h + 2*h) to the form w + z*h and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6060044 (base 7) in base 15?\nAnswer: -e3672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, -2\/3, -1\/9, -4, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c)**(-5\/12)\/(c**2\/(c**(1\/7)\/c))*(c\/((c*c**(1\/3)*c)\/c))**(-25)*c\/(c*(((c\/(c*c**(-1\/5))*c)\/c)\/c)\/c)*c**4 assuming c is positive.\nAnswer: c**(15083\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(637) - (-1*sqrt(637)*-1)**2) + (1 + (sqrt(637) - 2*sqrt(637)))**2) - 4*-5*(sqrt(637) + (3*1*sqrt(637))**2).\nAnswer: 182*sqrt(13) + 114654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4)*v)**(-1\/26)\/(v\/(v*v*(v\/(v\/(v*(v*v**2*v)\/v)))\/v*v)*v**(2\/5)))**(-37) assuming v is positive.\nAnswer: v**(-87579\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 j when four letters picked without replacement from bbmybyytbyyyjym.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, 44, 137, 318, 617, 1064, 1689, 2522?\n\"Answer: 5*l**3 - l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1.1 (b) 3.3 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-110 + (3 - 0) + -1)*12. Let m = 631 + y. Let u = 1114 + m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1228123 and 1183?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 + 179. Is -5*(-58)\/5*b a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 - -253. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-43249)\/(-9821) + (-36)\/7 + 5?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -3*z**2\/2 - 4*z + 1. Suppose -3*f - 4*n + 34 = -0*f, -2*f - n + 26 = 0. Calculate the remainder when f is divided by r(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let u = 478 - 406. Suppose 0*k - g*k = -u. What is the greatest common factor of k and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11308 + 10623. Which is bigger: -688 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*x = 75*x - 168. Let i = 18 - x. Calculate the greatest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 5 - (0 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*1278\/426?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + (-52)\/(-39). Suppose -n - 57 = -k*n. Suppose -u + n = -c, 6*c - 4 = 4*c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 2*x + 3. Let w(u) = u**2 + u + 2. Let h(p) = 3*o(p) - 4*w(p). List the prime factors of h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28542, 31013, 33484, 35955, 38426, 40897?\nAnswer: 43368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-six fifths of a decade in months?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 7. Let g be u(-6). Let p = 10 - g. Suppose p*f - 2950 - 32546 = -n, 0 = -n - 4. What is f rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116184.\nAnswer: 2, 3, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19874 in 1\/6, -0.2, -93, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 17. Let q be z(5). Let u = q + 6. Which is the nearest to u? (a) 2\/5 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283*r**4 - 33*r + 2*r + 285*r**4 - 3*r**3 to the form t*r**3 + q*r**4 + h*r**2 + s + b*r and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 620705017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-57)\/((-11400)\/(-3350)).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1647*a**3 + 2767*a - 5542*a + 2777*a)*(-4 + 1 + 4).\nAnswer: -1647*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3293 + 29578\/9. What is the common denominator of a and 81\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from ppupupppppup.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 415332 to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i**2 + i - 2. Let u be q(-2). Let d(f) = f. Let j(g) = -3*g. Suppose 28*s - 75 - 11 = -2. Determine s*j(o) + u*d(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217289*z**2 + 434563*z**2 - 217279*z**2 + 182*z**3.\nAnswer: 182*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 46043*z. Let g(b) = 17*b. Determine l(g(v)).\nAnswer: 782731*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 - (9 + 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046604 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 2. Suppose -z - b*z = 0. Solve -3*y - 2*l = -7*l - 4, z = -4*y + 4*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -870 (c) -3\/4 (d) -2863 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/3 + 17*n**3\/6 + 9*n**2\/2 - 2*n. Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3706 - 397. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8428 + 8428. Solve -3*w - 23 = 2*k, 3 + l = 3*k - 3*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlzevwwvvl. Give prob of picking 2 l and 1 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggccgcggcgggc. Give prob of picking 3 g.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = 114*n + 883 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 3. Let b(o) = 27*o - 1945. Let q be b(72). Give c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 13510.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3709 plus 179.77079286?\nAnswer: -3529.22920714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 2\/3*y**4 + 0*y**2 + 1\/30*y**6 + 0 + 1\/4*y**5 + 4*y + 2\/3*y**3. Factor o(g).\nAnswer: g*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 61 = -6*q + q, 3*q - 3*d - 51 = 0. Let r(z) = -z**2 + 14*z + 10. Let o be r(q). Let w = 12 - -88. What is the greatest common factor of o and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31633\/48 - 659. Let c(v) be the second derivative of 0 + 4*v + 0*v**2 - 1\/24*v**3 + t*v**4. Factor c(n).\nAnswer: n*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.662 rounded to one decimal place?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68490480 + -2290480. Suppose 175*s - 174*s + u = 0. What is s rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8305464 divided by 4152732\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(3 + 1 + 8)*(-2*n + 3*n - 2*n)*(4*n - 4*n + 2*n**2).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1316.95 and -0.077?\nAnswer: 101.40515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 1, n: 10, x: 2, f: 3}. Give prob of sequence fbc.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 709 = 8*j - 788, -4*j - f = -27 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 12*q**2 + 13*q + 6. Let v = -24 - -35. Let z be b(v). Calculate the highest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -845 + 470. Let v = p + 370. Put -1\/2, v, 1\/10, 10 in increasing order.\nAnswer: v, -1\/2, 1\/10, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 32*d**2 + 62*d + 34. Give y(34).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 2*p + 0*p - 2*p + 2 - 2 + 3 - 3 - 2*p + (-2*p + 1 - 1)*(-3 + 3 + 2).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 422 + 88)*(-v**2 - 1 + 1) + 3*v**2 + 7*v**2 - v**2 in the form s*v**2 + o + h*v and give s.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11da (base 15) to base 11.\nAnswer: 294a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswsssssswsssswsss. Give prob of picking 3 s.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:19 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 658208816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 125348731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7673 is divided by 1631.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**5\/5 - 8*d**3\/3 + d**2 + 33*d - 70. Find the second derivative of t(c) wrt c.\nAnswer: 12*c**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662806.\nAnswer: 2, 41, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and 66.\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41910769 to the power of 1\/2, to the nearest integer?\nAnswer: 6474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 8*g = 3. What is the remainder when 63 is divided by -38*1*(-4)\/8 + g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*q**4*y - 3*q**4 + 3*q**3*y + 4*q**3 + 83*q**2 + 20*q + 2*y wrt q.\nAnswer: 1656*q*y - 72*q + 18*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011079 * -1855.\nAnswer: -20.551545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (7 - 3 - 1) + -16.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4722*b + 4597*b - 1625 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 10102022?\nAnswer: 10102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*n**3 - 50*n - 3*n + 61*n**3.\nAnswer: -33*n**3 - 53*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 - 31693*r + 1428210 = 0. Calculate r.\nAnswer: -31738, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -85 (b) 31 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52192 + -52188. Suppose w - 29 = -b - 2*w, 2*b + w - 33 = 0. What is the greatest common divisor of b and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330\/27 - (-18)\/(-81)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046916028 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (0 + -4 + sqrt(847))) + sqrt(847) + (2 + sqrt(847) - sqrt(847) - sqrt(847)) + -3 + -5 + 0 + -3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 (base 9) in base 3?\nAnswer: 221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03278 (b) 4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -32 + (0 - 7). Let v be ((-32)\/6)\/((-2)\/(-6)). Let a be p\/v*((-14)\/(-3) - -2). What is the greatest common divisor of a and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2480310 to the nearest 10000.\nAnswer: -2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/6)\/(-2)*(231 - 225)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(16\/7)*r**18*r**(2\/45) assuming r is positive.\nAnswer: r**(6164\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4402.96206 to the nearest ten.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12\/11, -1, 2\/13 in decreasing order.\nAnswer: 12\/11, 1, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 8.2.\nAnswer: -32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12474, 99728, 336560, 797760, 1558118?\n\"Answer: 12465*a**3 - a**2 + 2*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)\/f**(-5))\/((f*f*f\/(f*f**(-3))*f)\/f**0))\/((f**(-1))**(-9\/11)*(f\/((f**(2\/3)*f)\/f))**(-3)) assuming f is positive.\nAnswer: f**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -35 - 8) + -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 8. Let c be p(7). Let v be 15 - -1 - (0 + 2). Is v + 2\/c*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from wxxwxwo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 10. Let k = 27 + -109\/4. What is the closest to k in -1\/4, 0, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 1501, 2268, 3031?\nAnswer: 3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 1, y: 1, p: 2, j: 1}. Give prob of sequence ypm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 4*v**2 + 5*v - 1. Let f be k(-4). Let g = 5 - f. Suppose 2*s - g = 3*r - 8*r, -12 = -r + 3*s. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/2269 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + m = 6*v - 123, 2*v - 42 = -2*m. Let y = v + -15. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2950870 - 2950870 - 3985*n + 4014*n.\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssqqqqsssqssqqqsq. What is prob of picking 4 q?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f)*(1 + 6 - 3)*(-6 + 5 + 12).\nAnswer: 88*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + 2 - (-176 - -185).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 49*x**2 - x + 12. Let s(u) = -146*u**2 + 4*u - 40. What is 10*b(z) + 3*s(z)?\nAnswer: 52*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, -125, 4, 5, 3.\nAnswer: -125, -111, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q. Let l be -2 - ((6 - 0) + -2). Let r be 12\/(-9)*9\/l. Let z(i) = -i**2 + 5*i**2 - 5*i**r. Calculate z(b(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 3*l + 5*l)*(-3*l + 2*l + 0*l) + 2*l**2 + 1 - 1 + (4*l - 3*l + l)*(-5*l + 2*l + l) as v*l + d + b*l**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-16*p + 122 - 122) - p - 3*p + 3*p.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -0.16.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a factor of 4081543200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265 - -338. Suppose -2*d = -a + 19. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 3*d. Let q be s(3). Let w be q + (-1)\/((-2)\/(-4)). What is the units digit of w\/(-6)*0 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 9:29 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-4)*(-225)\/(-300)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -4\/5, 4\/3, -0.701?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.89411 rounded to 1 dp?\nAnswer: 23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5946.942ml in litres?\nAnswer: 5.946942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118.73 - 99.8. What is h rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.027 - 236.973. Let j = q + 236.806. Let t = -0.849 - j. Round t to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*q - 44 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (63 - (259 - 47)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 2\/21 (b) -145 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 5*s**8\/12 - s**6\/120 - 33*s**5\/20 + 494*s**2. What is the third derivative of c(n) wrt n?\nAnswer: 8400*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59373 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*g + 498, g + 64 = f - 183. Let t be -12 + 399\/35 + 316\/10. What is the highest common factor of f and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4486051, 5, -4, -2 in decreasing order.\nAnswer: 5, -2, -4, -4486051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0 - 2\/3*z**3 + 0*z**2 - 25*z. Let o(j) = -114 - 3*j**2 + 114. Give w(o(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -34.3, -0.4, -5 in ascending order.\nAnswer: -34.3, -5, -4\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 47 = -m, j - m + 0*m - 7 = 0. Let x be 36\/j - (-3 - 39\/(-15)). Solve 2*p + x*o + 18 = 4*p, -3*p = -3*o - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58286689.000404 - 58287024. Let c = 335 + u. What is c rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 381793450 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -21, -4 in ascending order.\nAnswer: -21, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -a1b860?\nAnswer: -a1b858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -323, -375, -413, -431, -423?\n\"Answer: m**3 + m**2 - 62*m - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 1970.\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**2 - 14 + 14 + (3*u - u - 3*u)*(7 - 7 + 4)*(5 + 7*u - 5).\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 13 + 16. Solve q = -0 - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(((-2)\/20)\/(19\/152)). Solve -11 = -p*g + 2*r, -g = -5*g - 5*r - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/12*(-56)\/98*51\/17.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38518301?\nAnswer: 19, 353, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -7 - (39 + -31 - (1 + -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.638 * -0.04\nAnswer: 0.02552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**2 + 271692*o - 1902040 = 0.\nAnswer: -67930, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 344*j**5\/5 - 61*j**2 + 50. What is the second derivative of k(i) wrt i?\nAnswer: 4128*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15344657*y**2 - 2620768 wrt y.\nAnswer: 30689314*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlvld. What is prob of sequence vz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11094060 - -134.\nAnswer: 11094194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.4. Which is the third smallest value? (a) 27 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/5081856 and 43\/128?\nAnswer: 5081856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 209*x**2 - 2667*x + 173412. Give a(200).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m + 1. Let b be m\/((-218)\/108 + 2). Suppose b = 3*a - 204. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*i - 10, 5*c + 14 = 4. Let y(k) = 5*k**2 + k + 1. Let j be y(1). Let b = j - 7. Solve -5*f + b*v - 24 = i*v, -5*v = 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13776?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -226?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 14*o**3 - 3*o**2.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212468 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -26 + (0 - 2) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1036 and 27333047?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56748.85ml in litres?\nAnswer: 56.74885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 690033.\nAnswer: -2\/690033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 1. Let a(u) = -22*u - 9. Let z(n) = 3*n + 1. Let f(x) = 5*a(x) + 40*z(x). Calculate -f(q) - 4*l(q).\nAnswer: -6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5665617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8066520 divided by -462?\nAnswer: 17460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 13 = 0. Let t = 48 - 40. What is the remainder when x is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-264)\/(-121) - 2\/11. Suppose 4*g + f*x - 20 = 0, 0 = -2*g + x - 1 + 7. Which is the smallest value? (a) -0.4 (b) g (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.374 + 0.3739332. Round y to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 7. Let v be (h + (-28)\/(-12))*96. Let k be v\/12*(-18)\/(-8). Round k to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 11?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 1, s: 1, i: 1, r: 1, p: 1}. What is prob of sequence lr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/3042 and 47\/63?\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18721, 37439, 56155, 74869, 93581, 112291?\nAnswer: 130999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3, -u - 20*g + 17*g = -168306. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 389.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3051 + -1699. Suppose -4*o + 3*o = -f + 1364, -f + 4*o + g = 0. Find the common denominator of ((-3)\/24)\/(-2*21\/f) and 77\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 less than -34828451333230?\nAnswer: -34828451333231.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (322\/23)\/(1 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-4)\/(-5))*4. Let m be 2*j\/(-2)*-1. Suppose 11*l = 29*l + 36. Put l, m, -3 in decreasing order.\nAnswer: m, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:18 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 9 = -3*s. Suppose 4*a - 5*z - 80 = -z, s*a + 5*z - 52 = 0. Suppose -a = -4*d - y, -d - 5 = -3*y - 0*y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i. Let h(t) = 6*t. Let d(c) = -3*h(c) + 4*u(c). Let q(z) = z**2 - 2*z**2 + 2*z**2. Calculate d(q(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(125) - sqrt(125)*-2) - 1*(sqrt(125) + sqrt(125)*1)) + 1)**2 - (-1 + (sqrt(605) - (sqrt(605)*1 + -5)) + 2*sqrt(605)*2)**2.\nAnswer: -9546 - 302*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*l - 5 = 0, -s + l - 9 = 2*s. Which is the closest to 0? (a) s (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + s + 0*s**2 + 15 - 5*s - 19.\nAnswer: -(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(9\/4)*z))*z)\/z)\/(z**(-2\/19)*z) assuming z is positive.\nAnswer: z**(179\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 36, 8, -42, -120?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6876*u**3 + 3792*u**3 + 2801*u**3 + 1095*u**3 - 746*u**3)*(0 - 4 + 2) to s*u + f*u**3 + m + k*u**2 and give f.\nAnswer: -27636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-188)\/(-28) - 5)\/(6\/21). Let z(f) = 3*f**2 + 2*f - 1. Let o be z(1). Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*h**2 - 205*h**2 + 106*h**2.\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2032, 2034, 2038, 2044, 2052, 2062?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12838.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 1\/2*x**2 + 7*x - 69. What is c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 803593585 and -4995?\nAnswer: 803598580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189388 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3558.24 - 3523.24. Suppose 3*u + 9 = -2*p + 4, -3 = 4*p - u. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 72468 = 3*v, -3*v + 2*c + 68163 = -4265. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 434*l**2 + 182*l + 607. What is the derivative of k(m) wrt m?\nAnswer: 868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -2*(-1)\/(-2). Let z(u) = u**2 - 3*u - 5. Let k(a) = 2*a**2 - 7*a - 9. Let h(j) = 3*k(j) - 7*z(j). What is the units digit of h(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211\/3 + 71. Which is the nearest to t? (a) -7\/4 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - 13*j**2 - 5*j + 3. Let x(h) = -5*h**3 - 14*h**2 - 5*h + 4. Let a(d) = 4*w(d) - 3*x(d). Is 15 a factor of a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62, 107, 148, 185, 218, 247, 272?\n\"Answer: -2*q**2 + 51*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/1383 and 61\/993.\nAnswer: 457773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 14 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/(-96) - (-11410)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/8))**(-2\/153)\/(w**10\/w)**(-1\/9) assuming w is positive.\nAnswer: w**(613\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gryrrwrraxgxaraararx. Give prob of sequence rwr.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**2. Let w(d) = 3*d + 2. Suppose p = 7 - 4. Let x be 0 + (p + -3 - 2). Let i(r) = -4*r - 3. Let n(b) = x*i(b) - 3*w(b). What is n(z(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 597567200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1991.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**3 + 0*c**3 + 0*c**3)*(5 + 4 + 0) + 6*c**3 - c**3 - 2*c**3 as q*c + a*c**3 + w + i*c**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 641*q**2 - 1283*q + 11. Calculate n(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88295 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 4. Let i be u\/((-2 - -1) + -6). Does i = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3753\/(-135) + 37 + 1\/(-5). Solve -n*i + 14*i = g - 15, -i = g + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05534 - 1.05534. What is the nearest to 1\/24 in z, 0.2, 5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346540897?\nAnswer: 41, 8452217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/6 + 39*v**3\/2 + 285*v**2\/2 - 1128*v + 3. Determine a(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (382\/(-573))\/((-2)\/39)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/29 + 40\/261. Let s = -0.26 + -0.84. Let x = s + 1.2. What is the nearest to 0 in x, t, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 7) to base 5\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7456 = -3*l + v, -2*l - 5*v - 7468 = l. Let h = -4241 - l. Does 17 divide (h\/52)\/((-6)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - v**2 + v**2)*(156 - 77 + 74).\nAnswer: -306*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -455.16046 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 2 + 2)*(-3 - 805*b**2 + 928*b**2 + 0 + 0) in the form r*b**2 + f + o*b**3 + s*b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 157*q**2 - 151*q + 150. Let u be j(1). Calculate the highest common divisor of u and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(5\/7)\/(r**(1\/6)*r**6*r) assuming r is positive.\nAnswer: r**(-271\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*u - 386*u - 11508 = 0 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r + 2. Let u(l) = 6*l - 4. Let c(p) be the third derivative of -2*p**2 + 0 - 1\/2*p**3 + 0*p + 5\/24*p**4. Give r*c(n) - 3*u(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooozzoznohj. What is prob of picking 1 o and 1 z?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11144322 + 4?\nAnswer: 11144331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18908.0000032856 - -18908. What is n rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*b - 6 = 0, -p - 2*b + 21 = 3*b. Put 5, -3, 3, p in ascending order.\nAnswer: p, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64878109.1 to the nearest ten thousand.\nAnswer: 64880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111931322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -57\/2, -50.\nAnswer: -50, -57\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 4*t - 8. Let x be o(6). Suppose 0*k = 5*k - 110. Let u = 21 - k. Which is the smallest value? (a) u (b) x (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*x + 1931 = -945, -2*b + 2872 = -2*x. What are the prime factors of b?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270164825 to the power of 1\/2, to the nearest integer?\nAnswer: 16437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.56 - 1.5. Let o = 5.06 - w. What is the smallest value in o, 0.07, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/32 and 47\/8337056.\nAnswer: 8337056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9 - (9\/(-54))\/(7\/70). What is the closest to -47 in w, -0.1, -4, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:20 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -255, -373, -463, -513, -511, -445, -303, -73?\n\"Answer: 2*d**3 + 2*d**2 - 138*d - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -259521040 + -2?\nAnswer: -259521042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3251 times -1.08\nAnswer: -3511.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 18 + 2. Let y be (4\/(-3))\/(h\/(-18)). Let v(r) = r**3 - 5*r**2 - 6*r - 3. Let i be v(y). Which is the nearest to -0.1? (a) 3 (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -948478 or -948483?\nAnswer: -948478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 24 = r, -r - 12*f + 216 = 275 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1183 - -1180. What is the nearest to -1.19 in -0.2, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*d**2 - 569*d**2 + 1669*d**2 - 202*d**3 - 530*d**2.\nAnswer: -202*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 337299089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3775483864 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 59752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7377 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4776 (b) -794 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n**2. Suppose u + 0*u = 4. Suppose -5*h - 9 = -u. What are the prime factors of k(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/550*(-5)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1231 - -6004. Suppose z = 12*p - 1539. Is 63 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1131.26668 to the nearest ten.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3916086583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -390*d*v**2*w**3 + d*v**2*w + 42*d*v - d*w**2 - 3*v**2*w - v*w + w**3 wrt v?\nAnswer: -780*d*w**3 + 2*d*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 793932221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-558)\/(-10) + 8\/(-10). Suppose 22 + 213 = -5*k. Let q = k + b. Solve -q*r = 5 - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27623837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23144503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4224)\/80)\/((-4)\/(-50)). Let o = y - -646. Let u(d) = d + 12. What is u(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13.221525s?\nAnswer: 0.22035875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, -3, 2\/99?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 18, -22, 5.\nAnswer: -22, 1, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -3.9. Let w = 2 - 2.5. What is the closest to -1 in w, 3, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/17, 1\/2, -2, 2\/5?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79550939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16184 and 15\/8092?\nAnswer: 16184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 54*o**3 - 2*o**2 + 8*o - 7. What is z(1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35250, 35218, 35174, 35112, 35026, 34910?\nAnswer: 34758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*d = 144*d - 23408. Suppose -v - 3*v + 44 = 5*g, 35 = 4*g + 3*v. What is the greatest common factor of d and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 19 = 2*f, 0*f - 5*l + 25 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82324, -164831, -247628, -330859, -414668, -499199, -584596, -671003?\nAnswer: -758564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 32850902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6072874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210782 - -210811.9538. Let t = 30 - j. Round t to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 7 = 5*x - 9*x, 5*x = 3*g - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**2 + o**4 + 2*o - 3 - 22*o**2 + 0 to i*o**2 + u*o**3 + q*o + k + x*o**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, u: 2, a: 3, n: 3, b: 2, o: 2}. What is prob of picking 2 n and 2 u?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21286549 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 0.1 (c) 211\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3906 and 585032?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a meter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8342483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/(-6))\/(6925464\/(-44995743) + 2\/13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05825 and -0.01?\nAnswer: -0.0005825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.064 - 0.154. Let l = 23.24 - 22.91. Are m and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109055*g*j**2*s**2 + 25*g*j*s - 140*g*j - 6*j**2*s wrt s?\nAnswer: -218110*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1525357, -3050597, -4575837?\nAnswer: -6101077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957443134.\nAnswer: 2, 131, 7471157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1434989, -1434983, -1434973, -1434959?\nAnswer: -1434941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320245 divided by -16855.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -232, 1550?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8571 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*j = -0*j - 363, -4*j + 223 = -3*o. Let l = 334 - o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1\/37, -28\/11, -0.5, -1.\nAnswer: -28\/11, -1, -0.5, -1\/8, -1\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51457?\nAnswer: 7, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 37.31819.\nAnswer: 37.41819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005599 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3713*l*s**2 + l*s + s**2 + 32*s - 9 wrt l.\nAnswer: -3713*s**2 + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -82. Suppose 1 = 2*r - z. Solve 3*q = -2*a - 7, -r*a = -2*q - 2*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -34*y + 30*y + 11 - 6. Let g(l) = -3*l + 11. Let i(w) = 2*w - 7. Let v(q) = -5*g(q) - 8*i(q). What is 10*v(p) - 2*x(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1346 and 2.7?\nAnswer: 1348.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 26*r**2 - 150*r - 21. Let c be d(9). Solve -397*o = -398*o - c for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usbbbyssryyebeeu. What is prob of picking 2 u?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9807.8 to the nearest one hundred.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m - 35. Let p(z) = -5. Let h(y) = n(y) - 7*p(y). Let x(a) = -222*a. Give x(h(d)).\nAnswer: -1998*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 - -246. Let c(s) = -s**3 - 8*s**2 + 19*s - 1. What is the units digit of c(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49955.05064 to the nearest integer.\nAnswer: -49955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 69. What is the closest to b in -5, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x - 30. Let v = x + 8. Suppose h - v*h - 5 = 5*t, 0 = 2*h. Which is the closest to 3? (a) -2\/5 (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -461 + 470. Let g(f) = -40*f. Let t be g(1). Let p = 66 + t. What is the remainder when p is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 427*l + 874 - 874 + (27 - 3 + 2)*(-l - 3*l + 0*l).\nAnswer: 323*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73071 (base 9) to base 14\nAnswer: -137b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1816 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 25, 2*y = 3*f - 2. Let n(g) be the second derivative of 2*g**4\/3 + 7*g**3\/6 + 5*g**2\/2 - 19*g - 1. Is n(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 * -0.5\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17*l - 13. Give x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 12*u - 2. Let a be o(12). What is the closest to 1 in 0, 0.061, a, -0.1?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8812223*j**3 + 2*j**2 + 22846*j - 22 wrt j?\nAnswer: 52873338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {g: 2, c: 4, j: 1, i: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35494.45 rounded to the nearest one hundred?\nAnswer: 35500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235880 and 181144046.\nAnswer: 11794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -0.1 (b) -1.71 (c) -5 (d) 32 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4*d**2 - 6*d - 5. Suppose 0 = 3*s - z - 23, s + 2*z = -3*s + 14. Let c be s\/(-4)*(-72)\/(-27). What is the units digit of h(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 + 12 + 0*m - 31*m**3 - 15 - 2*m + m in the form t*m**4 + p*m**3 + n*m + a + q*m**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 138ac1 + -2?\nAnswer: 138abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.03 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.237203 litres?\nAnswer: 8237.203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (3 - (43 - 17)) + -32.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*(4 + -3))\/((-1)\/(-1)). Suppose c = z, a - 7*z = -4*z. Solve 15 = 3*w - a*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -10, 34, 96?\n\"Answer: 9*b**2 - b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 13 = 3. Suppose 0 = x - 3*w + 8*w + m, -4*w - 12 = -2*x. Suppose -2\/3*l**x - 8\/3 + 8\/3*l = 0. What is l?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.013 - -0.917. Let w = n + 3.16. Let j = w + -0.09. What is the biggest value in j, -1\/4, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from {x: 6, b: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 44)\/(77*21\/(-147)) and 23\/1282?\nAnswer: 14102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**3\/3 - 11*o**2\/2 + 22*o - 4. Does 16 divide d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27 - -26)*-2*1. Solve -2*r - n*r + 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 16 = -60. Let i = g - 42. Solve 12 = -i*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 2*i**2 + 55 - 55 - 12*i**4 + 10*i**4 to the form v*i**3 + j*i + h*i**4 + x + q*i**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 166 - 283 = -9*z, 0 = -5*j - 5*z + 65 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*o + 4*j, 0 = 59*o - 56*o - j - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o - 13. Let w be v(11). Let f be ((-16)\/(-6))\/((-10)\/w). Sort f, 0, -4, -2 in increasing order.\nAnswer: f, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 483543710 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -71939, 19, 2 in descending order.\nAnswer: 19, 2, -71939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/752 and -77\/8.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5028*r**2 + 24*r + 118. Let x(c) = 2011*c**2 + 10*c + 49. Determine -5*k(m) + 12*x(m).\nAnswer: -1008*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -6d8b?\nAnswer: -6d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17294687 is divided by 110?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 11, 3, 5 in increasing order.\nAnswer: -4, -1, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28828 + 28817 + 28501*d - 57645)*(d**3 - d**3 - 3*d**4).\nAnswer: -85503*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 2*u - 1. Let a(d) = -58*d**3 + 5*d**2 + 10*d - 5. Give -a(c) + 5*h(c).\nAnswer: 58*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 26*q - 12. Let t be i(-9). Let f(u) be the third derivative of u**5\/60 + 7*u**4\/24 + u**3\/3 - 5*u**2. Let h be f(-6). Are h and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3409*w - 1009*w + 128*w to v*w + y and give v.\nAnswer: -4290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3985899884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - (-12 - 59))\/((-2 - -15)*-2)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 183328 and 272.\nAnswer: 183328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 443*g - 58. Let c be b(8). Suppose 11382 = 7*m + c. Suppose 0 = -3*q - 9*q + m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 2*s**2 + 8*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303 (base 5) to base 13.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189560?\nAnswer: 2, 5, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/12 - (3 + 0). What is the nearest to 1 in s, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -824*-0.13.\nAnswer: 107.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110000000010 (base 2) to base 6.\nAnswer: -1214402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 41237248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27792 - -65344. What are the prime factors of p?\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -31*s - 2851. Let i(b) = -42*b - 2852. What is 4*d(z) - 3*i(z)?\nAnswer: 2*z - 2848","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y - 6. Let z be g(0). Let t(d) = -1212*d + 1. Is t(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -144 and -152433.95857?\nAnswer: 152289.95857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 2, y: 1}. What is prob of sequence yu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*o + 613 + 1095. Let k(m) = 9*m - 4*m - o*m. Let i(x) = -6*x**2. What is k(i(l))?\nAnswer: 336*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 11*w**2 - 16*w - 12. Let j be u(9). Suppose j*s = 19 + 29. Factor -455 - 4*p**4 - 2*p - 2*p**3 + 451 + p**5 + s*p**2 + 3*p.\nAnswer: (p - 4)*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + w - 2*w + 2*w - w. Let z(c) = -3*c - 18. Give z(b(l)).\nAnswer: 3*l - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 245144437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.3, 2\/9, 269?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)**(2\/55)*y**(-10)*y\/(y\/(y*y**(-1\/4)*y)))**(-28) assuming y is positive.\nAnswer: y**(12761\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 52 (b) 1 (c) 42\/8039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eca4b + -6?\nAnswer: eca45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332132 (base 4) to base 14.\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 + 36*z + 429\/2.\nAnswer: 3*(z + 11)*(z + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85884109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z. Let x(n) = 3*n + 2604401. Calculate x(u(j)).\nAnswer: -48*j + 2604401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -4, -0.5, -27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -0.55, -4, -14\/5?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**4 + 0*l + 0*l**2 + 13 + 2*l**5 - 16\/3*l**3. What is the third derivative of k(f) wrt f?\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -129*d - 6. Let x be t(-37). Suppose -8*u + x = 13*u. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 3*l + 12. Let d(f) = 2*f**2 - f - 10 - 2 + 14 - 4 + f**l. Give d(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-88)\/28)\/((-2)\/14).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Let f = -970 - -972. Which is the third smallest value? (a) -4\/9 (b) v (c) f (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.185 - -0.015. Which is the nearest to 0? (a) -3 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2\/3 + 5*h\/3 - 2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*t + 95, 2*t = 2*d - t + 43. Suppose 17*v - 22*v + 525 = 0. What is the remainder when v is divided by (9 + -2)*(-24)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) -2 (c) 94\/3 (d) -0.4 (e) 338 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -29*c**3\/3 + 21*c - 19. What is the derivative of p(z) wrt z?\nAnswer: -58*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5310 - 194*g + 5310)*(-4*g**2 + 6*g**2 + 0*g**2)*(3 - 3 - 2*g**2).\nAnswer: 776*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:03 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 7*x**2 - 6*x + 3. Let r(o) = -2*o**3 + 6*o**2 - 5*o + 3. Let m(z) = -4*r(z) + 5*t(z). Is m(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2144\/(-276))\/(-67))\/(12\/9)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217807700 divided by 100.\nAnswer: -2178077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h**3*u**3 + 3292*h**2*u**3 + h*u**3 - 2*h*u**2 + u + 148 wrt h?\nAnswer: 114*h*u**3 + 6584*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7)*q**(-5\/2))\/(q**(-3)*q*q**25) assuming q is positive.\nAnswer: q**(-355\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198 + 197.364. Let z = -0.064 + o. Sort 1, z, 4 in decreasing order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) 5 (c) -0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477211395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4, -3\/4, -1644, -1, -1\/63?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-286)*-42 + 695\/1807.\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:40 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 19 - 1 = 0. Suppose 0 = 3*j - 2*c - 21, 0 = j + u*j + 4*c - 8. Suppose j + 3 = -2*r, 0 = q + 5*r - 4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**13*k)**(-3\/5))**(-18\/11) assuming k is positive.\nAnswer: k**(162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9835026\/5 or 1967006?\nAnswer: 1967006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by (-33)\/(-11)*58\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.2082 - 0.8822. Round w to 1 dp.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1230?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 6*s**2 + 14*s + 3. Let h(q) = 7*q**3 + 13*q**2 + 28*q + 5. Let u(y) = -6*h(y) + 10*j(y). Suppose u(n) = 0. What is n?\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -495 + 523 - (17 + 3) - (0 - 17)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117*7\/105 - (-20)\/5.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812459.1 decades to years.\nAnswer: 8124591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 251874260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 5*m + 9\/20*m**5 + 0*m**3 - 1\/2*m**4 + 0*m**2 + 0. Factor y(s).\nAnswer: 3*s**2*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i + 8. Solve -2*b + 2*n - 4 = 0, -5*n + n + 12 = -i*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552*p**4 - 5036*p**3 - 3585783*p wrt p.\nAnswer: 6624*p**2 - 30216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(6\/9) + -68683732. Let j = -168883729 - r. Round j to the nearest one million.\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -890.22? (a) 3 (b) -3 (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.69 + -0.31. Let i = v - -14. Let c = 15.9938 + i. Round c to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*t - 536*t - 120 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.11, 4\/5, 1\/11, 0.6, -4.\nAnswer: -4, 1\/11, 0.11, 0.6, 4\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = -4*d - 74 + 85 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/3 + 1)\/2. What is the tens digit of 71\/(f + -1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from ppjjpppppp.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9398 less than 9400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1 (b) 3\/2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6023*c**2 + 143 - 863 - 36*c - 12030*c**2 + 6009*c**2.\nAnswer: 2*(c - 30)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46184429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19008 by 99.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 7 - (0 - 3\/3). Let c be ((-11)\/(-3))\/((-57)\/f + -6). Solve 36 = 5*q + c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 < -71\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2)\/((-24)\/(-9)). Let a = -44054 - -44059. What is the third smallest value in -233, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990 = -71*g - 16*g + 54 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(484)\/(-2*sqrt(275) + sqrt(275)))\/(sqrt(4) - sqrt(44)\/(sqrt(44)\/sqrt(4)) - sqrt(44)\/(sqrt(11)*1)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/7 (b) 150 (c) -0.5 (d) -1 (e) 30 (f) 2\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**3\/3 - 6*a**2 - 8*a - 227. What is p(9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4340343 and 4263.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-97)\/((-138225)\/(-7650)))\/(8\/(-38))?\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfnxzxfzzkozkfzxfnnx. Give prob of picking 1 f and 1 x.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 - (-3 - -1). Solve -4*t - 8 = -k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744340 divided by 9.\nAnswer: 744340\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 44145 = -68399. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujui when four letters picked without replacement from {j: 3, u: 5, i: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.74 + -16. Let p = -4.94 + j. Let t = -0.2 - p. Sort -5, -1\/3, t in descending order.\nAnswer: t, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002405538 to 7 decimal places.\nAnswer: 0.0002406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2. Let w(l) = 299*l**2. What is w(c(f))?\nAnswer: 10764*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 7, 5, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26333966.\nAnswer: 2, 13166983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjjp when four letters picked without replacement from jpppppppjpjpppjj.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1258*s = -1264*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3*(-4)\/(-42))\/1. Let p = -2.3 - -0.3. Let x = p - -3. Sort d, -2, x.\nAnswer: -2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*o**2 + 9 + 417*o**2 - 9 in the form q + b*o + h*o**2 and give h.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (-1 - (2 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - q**5 + 3*q**5 - q**5 + 0*q**5 + 3*q**5 + (-47*q**2 - 41*q**3 + 47*q**2)*(-3*q**2 + 0 + 0).\nAnswer: 124*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**4 - 16*v**3 - 49*v**2 + v.\nAnswer: 48*v - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344116?\nAnswer: 2, 86029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 36*x - 4563 = 0. Suppose -8*w = -11*w + x. Suppose 10*h = h + w. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)*l\/(l\/(l*l*l\/l**(2\/13)*l)))\/((l*l**(-1))\/l)**(-32) assuming l is positive.\nAnswer: l**(-1503\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (9 - (-24 - -9) - 71)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-15) + 30\/(-50). Suppose l = -4*g - 0 + 12. Solve 4*y = 5*o + 9, g*y + 2*y + 15 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52514353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19913688 divided by -84024?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -69, -117, -165?\n\"Answer: -48*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 + 2*d - 6. Suppose 0 = f - 6*f + 25. Suppose 8 = -5*i + 5*q + 63, 4*q = -f*i + 46. What is the lowest common multiple of i and j(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4, 2\/5, -7774.7, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15253, 15523, 15791, 16057, 16321, 16583, 16843?\n\"Answer: -v**2 + 273*v + 14981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 690 = 5*l. Let o = 21188 - 21173. What is the highest common divisor of o and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdddrdddrr. What is prob of picking 3 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 834079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/946 and -31\/4318721?\nAnswer: 371410006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*i + 1\/8*i**2 + 0.\nAnswer: i*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238.75 - -238.8. Which is the nearest to 0? (a) 0.5 (b) -0.2 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155843 + -92502. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**5 - n + n + 2*n**5 + 0*n + 0*n + (-n**2 + 3*n - 3*n)*(-3*n**3 + 5*n**3 - n**3))*(17 + 8 + 3).\nAnswer: -28*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-4))\/((-1)\/(-2)). Let h = -1.77775 + -0.22225. What is the fourth biggest value in 4\/3, h, b, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3227 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s - 10 = 0. Suppose -s*z + 15 = d, -3*z + 7 = -5*z - 3*d. What is the second derivative of -z + 4 + 2*g**2 + 2*g + g wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 - 12?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-3 + (-39)\/6). Let s = l + -18. Solve -4*m + s = 0, 2*u = -3*m + 8*m - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**2 - 5*d - 4. What is the units digit of u(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.056 (b) 15.7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58\/22811, 1, -0.02 in ascending order.\nAnswer: -0.02, 58\/22811, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0282772665094 + -0.4\nAnswer: -0.3717227334906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 521727172 and 4844.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 + 3 = 0. Let f = h - -1. Which is bigger: 7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 67, 5, -3, 2, 7 in increasing order.\nAnswer: -3, 2, 4, 5, 7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1295603, -1295606, -1295609, -1295612?\nAnswer: -1295615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-72))\/((-2550)\/2754)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f + 4*f. Let c = 8.1 + -5.1. What is the smallest value in f, 2\/7, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/b**(-6))\/b))\/b**13)**(-48) assuming b is positive.\nAnswer: b**816","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 47 = 30*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 5*u + 21 = 4*f, 3*u - 5 = -2*f. Suppose -f*h - 8 = -3*h. Is 326\/4*(8 + (-48)\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*z**2 - 120*z**2 - 220*z**2 + z**4 + z**4 + 13*z**4 + 10*z**3 wrt z.\nAnswer: 360*z + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - sqrt(13))*1)**2 + 3)*3.\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 562070 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28943918 and -0.06.\nAnswer: 0.0173663508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -20. Is -5 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 71. What is the closest to t in -2, 0.3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3258332, -3258342, -3258354, -3258368?\nAnswer: -3258384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18419, 18345, 18211, 18011, 17739, 17389, 16955?\n\"Answer: -o**3 - 24*o**2 + 5*o + 18439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69498049, 69498047, 69498045?\n\"Answer: -2*v + 69498051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 + 12*v - 5. Let l(q) = -q. Let k be l(-1). Let y(i) = -i**2 + i - 1. Let o(b) = k*j(b) - 5*y(b). Let g be o(-7). Solve -3 = -g*f + 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t + 2*t**2 - 16*t**2 + 25*t.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -585, -615, -651, -693, -741, -795?\n\"Answer: -3*a**2 - 21*a - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2706 is divided by 241.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1139 divided by -1\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 10. Let a be n(-5). Let x be (12\/a)\/(6\/75). List the prime factors of (x\/9)\/((-2)\/21).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66389*j**3 - 759*j**2 + 10 wrt j.\nAnswer: -398334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12751363, -25502728, -38254093?\nAnswer: -51005458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9614, -9617, -9622, -9629?\n\"Answer: -o**2 - 9613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/4 + (5 - (-57)\/(-12)). Suppose -b + 7 = -0*b + 3*v, -b = -3*v - d. Calculate the remainder when 7 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g**3 + 0*g + (-3 + 3 + g**2)*(-1 + 1 - g) - 2*g**3 + 3 - 3 - 15*g**3 - 32 + 32 + (-4 - 4 + 0)*(-4*g**3 + g**3 + 5*g**3).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4165537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {s: 2, u: 10, w: 6}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 15) to base 3.\nAnswer: 10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 6)\/((-3)\/(-12)). Suppose a + 3*a + 2*y + 2 = 0, 4*a - o*y = -32. Let g be (-6)\/4 + a + 2. What is the third biggest value in 7, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(25)\/sqrt(5) + sqrt(80) + 3 - (sqrt(25) + (sqrt(25) - sqrt(3025)*-4))\/sqrt(5))*5.\nAnswer: -205*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13023153479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 94*r + 177. Suppose 6*p = 2*p + 120. Calculate the remainder when u(47) is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 4*l**2 - 3*l + 4. Let m be d(-3). Solve m = 4*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 66917*f + 267698. What is g(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*w + 3*w, -2*n = -5*w - 25. Let s(f) = f**3 - 6*f**2 + 3*f + 4. Let c be s(n). Let l = -2 - c. Sort 1, l, -0.2 in descending order.\nAnswer: l, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-129 + 125 + -1 + 36)) + 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113045733 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose 4*h + 3*t - 685 = -65, 592 = n*h - 4*t. What is the highest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 563869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9990651529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 16*m + 76 = 12*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + i**2)*(-2*i + 2*i - i)*(27*i + 4 - 4).\nAnswer: -27*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 110 - 41 = 0. What is the highest common factor of g and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.3178262 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 23*l = -22*l + 9, -g = 4*l + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3\/3 - 15*b**2\/2 + 8*b + 6. Let p be j(16). Calculate the common denominator of (-438)\/(-40)*(-8)\/p and 37\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, 4, -9, 74, -12 in descending order.\nAnswer: 74, 22, 5, 4, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*l + 6, 5*l = -3*u + 61426. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/((-555)\/10) - 254\/(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004023298 to 7 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15186.696 months in centuries?\nAnswer: 12.65558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2042673342 by -6.\nAnswer: 340445557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -854 + 51241\/60. Let p(k) be the second derivative of 0*k**3 + 1\/12*k**4 + 0*k**2 + 7*k + n*k**6 + 0 + 3\/40*k**5. Find v such that p(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(8 - -1*2). Let n = 625.5 - 626. Put n, 1, -0.9, g in decreasing order.\nAnswer: 1, g, n, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**3*a)**(6\/13)\/(a\/(((a**(-3)\/a)\/a)\/a))**(-5))**(1\/8) assuming a is positive.\nAnswer: a**(449\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -s - 36, -5*s = r - 4*s - 38. What is the remainder when r is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 626477 or 626478?\nAnswer: 626477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 7\/((-77)\/(-61053)) + (-6)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 749.2317001.\nAnswer: 748.9317001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.4. Let u = f + 0.9. Let y = 8 - 6. Which is the nearest to -2? (a) y (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 - (-1 - (-2 + 0)) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, d: 6}. Give prob of picking 4 v.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 25*x**2 - 45*x - 18. What is w(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyytyyyyyyyyyyyyyy. What is prob of picking 1 t and 3 y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253 - -300. What is the remainder when s is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -227*n**4\/8 - 113*n**3\/3 + 48*n**2. Is z(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 16. Suppose 16*m + 7*m - 706 = -269. Is w smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*sqrt(22)\/sqrt(2).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 4*m - 2*m + (-2 - 4 + 7)*(3*m - 1 - 1 - 4*m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -521?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 412\/57 (b) -7 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604292761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 14. Determine h so that 60*h + 64*h**3 + 39*h**2 - 51*h**3 - 32*h**b - 14*h**3 - 12 = 0.\nAnswer: -1, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18536\/(-3972))\/(14\/(-117)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125\/100*(27\/(-30))\/(6\/(-8))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 2*f + 3. Let x be a(-2). Let l = 15 - x. Solve -4*o = -o - l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 179677036.\nAnswer: -3\/89838518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-2 - -1) + 2). Let m = 1 + z. Suppose 0 = 2*h - m*h + 21. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-1990)\/15 - 2\/6. Let a be (-2)\/(-10) - d\/35. Calculate the greatest common factor of a and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4479 - 89551\/20. Let p = -427\/6 - -70. Find the common denominator of p and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22132 - -1111?\nAnswer: -21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12745 * 28.4\nAnswer: -361958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14126439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 10*z - 1. Let o(u) = -u - 1. Let n(x) = 4*x + 3. Let b(r) = 2*n(r) + 6*o(r). Let l(w) = 10*b(w) - 2*s(w). Differentiate l(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-6)*(-24)\/(-48)*((-702)\/(-28))\/13?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5 = 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 789*i + 1371*i - 391*i - 63684 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -3. Suppose -o + 6*o = 15. Suppose a - o*a + 32 = 0. Calculate the smallest common multiple of a and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 26423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 15) in base 7?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1306450188.\nAnswer: 2, 3, 151, 80111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(43*m + 1219 - 1219)*(0 + 1 - 2).\nAnswer: -43*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(136)*-5)\/(sqrt(200) - -3*2*sqrt(200)))**2.\nAnswer: 17\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -2*(12\/3)\/8. Suppose 779 = d*s - z, -3*z = -s - 3*s + 1037. What are the prime factors of s?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7\/4, 2860\/27, 3 in descending order.\nAnswer: 2860\/27, 3, -7\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 18518.\nAnswer: -185180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3 - 5*r**2 - 697*r + 8381 = 0. What is r?\nAnswer: -29, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133893 is divided by 2614.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 28 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, t: 1, z: 6, e: 1, y: 1, i: 3}. What is prob of sequence zyt?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + r + 43 = 0, 0 = -5*n - r + 56 + 41. Let i = 24 - n. Put i, -6, 1 in decreasing order.\nAnswer: i, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 11\/81, -20, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57010, -1 in ascending order.\nAnswer: -57010, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 33*z + 3. Let n be x(-2). Let q be (-3)\/15 - n\/15. Suppose -5*t + 4*w = -86, 0 = -5*t - q*w + 22 + 72. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2*(-10)\/9*-9. Solve -p*q = -0*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j - f, 4*j = -j - 3*f + 26. Factor -1\/2*y**3 + 1\/2*y - 1\/4*y**j - 3\/4 + y**2.\nAnswer: -(y - 1)**2*(y + 1)*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*a*f + 8*a + 4*f**4 + 4*f**3 - 198 wrt f?\nAnswer: 45*a + 16*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (616*r**2 - 425*r**2 + 410*r**2)*((3*r + r - 6*r)*(2*r - 3*r + 0*r) + 3*r**2 - 5*r**2 + 3*r**2 + 3*r**2 + r - r).\nAnswer: 3606*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - j = -6, -2*b - 2*j + 8 = -0*j. Find the second derivative of b - 70*o**3 + o + o + 4 wrt o.\nAnswer: -420*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 16399494?\nAnswer: 3279898.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbba when four letters picked without replacement from {b: 3, c: 7, a: 3}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 6. Let s(k) = -3*k**j + k**2 + 3*k**2. Let a(b) be the first derivative of -2*b**3 + 2. Calculate a(s(l)).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-14) + (-6 - (-1096)\/56). Solve -f*a = -8*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*b - 12 = 0, -3*b - 25 = 4*v - 5. What is the tens digit of -3 - v - (-3 - -6 - 167)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-10 - -12) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 7*c. Let w be p(-6). Let y = w + -42. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/390 + 42\/(-104).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -520575.\nAnswer: 10411.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 1 = -9*o. Let l(f) = f + 1 - 1 - 97*f**3 + 5 - 4. Is l(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let h be 0 + (-4)\/(-2) + 0. Suppose 3*r = c - 5*c - 9, h*c = -2*r - 4. Put p, r, 3 in descending order.\nAnswer: 3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1160 and 149\/24.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9082)\/(-8) - ((-108)\/16 - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00959775 to four decimal places.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42936172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/117*-6*(-9)\/6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74462 is divided by 421?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1903 + -1929 + -4 + -19 + 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -0.01 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1085 = 5*o, -3*a - a - 20 = 0. Let r = 217 - o. What is the nearest to 1\/3 in r, 0.16, -2\/17?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 896147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/37, -0.3, 3, -4, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -197, -555879, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 10 = -33*y + 4*i, -3*y = -0*y + i - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1285*m**2 - 3 + 3 + 1282*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -212500*z. Let o be 22\/(-2) + 6\/2. Let u be i(o). What is u rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -111, -226, -355, -504, -679, -886, -1131, -1420?\n\"Answer: -v**3 - v**2 - 105*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 2, k: 5, j: 3, n: 3, u: 6}. Give prob of picking 1 k, 2 n, and 1 u.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 5*i**2 - 656 + 640*i - 1186 - 7*i**2 - 42.\nAnswer: -4*(i - 157)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x + 1. Let q(f) = 5*f + 5. Let r(u) = q(u) - 5*w(u). Let y(m) be the third derivative of -m**5\/12 - 86*m**2. Calculate y(r(o)).\nAnswer: -125*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(23 + (14 - 60)). Let a be (46\/4)\/((-2)\/(-8)). Calculate the highest common divisor of s and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 239 - 223. Solve 4*b + d = 3*v, 3*b - 2*b + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4983 - 3482*g - 4898 + 9883 in the form f + y*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 48. Let u be o(7). Find the common denominator of (u*(-445)\/(-50))\/(-2) and 95\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0117 + 0.0533. Let q = -0.0584 + f. Round q to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*v**6 + 805353*c*v**3 - 26275*c*v**2 + 218*c - 2*v**3 wrt v.\nAnswer: -240*c*v**3 + 4832118*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.37 and -0.8257.\nAnswer: -0.4557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -11. Suppose -4 = f - v*f. Suppose t + f = 43. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -32. Suppose l + 5 = k - 3*l, 3*l - 10 = -p*k. Suppose 20 = -k*x, 3*q + 2*x = -2*x - 10. Solve 4 = -q*r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/3 (b) -2 (c) 16 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/10)*t)\/t*(t*t**(-1\/36))\/t)\/(t**(3\/7)*t*t*t**(2\/9)) assuming t is positive.\nAnswer: t**(-333\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 140 + 20 - 409 - 280 - 15*h - h**2 - 31*h = 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = a - 5*m, 2*a - m - 83 = -0*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.000125 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(114) - (sqrt(114) - sqrt(114)*-2)))\/((sqrt(54)*2)\/sqrt(9))*-2)**2 + 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*s**4 - 41*p**3*s - p**3 - 4*p**2*s - 86*p**2 + 5*p + 13320170*s**5 - 7*s wrt s?\nAnswer: -24*p**3*s**2 + 266403400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11711859*u**3 - 34687303 with respect to u.\nAnswer: 35135577*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1109637653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/((u*u**(-9\/8)*u)\/u)*u**(-10) assuming u is positive.\nAnswer: u**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -128. Find m such that -6*m**2 + 27 + 8*m - 4*m**3 + m**4 - r - 12 + m**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (405\/25 - (-19)\/(-95)) + -33?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*u - 17, -2*o + 182 - 271 = -101 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/(r**(-7\/4)\/r))\/((((r**5\/r)\/r)\/r)\/(r*r**(-2))) assuming r is positive.\nAnswer: r**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 56. Suppose 255 = 3*l - 3*z, m*l = 5*l - 2*z + 370. Calculate the greatest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8313, -8311, -8309, -8307, -8305?\n\"Answer: 2*j - 8315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -16 + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/4 (b) 24 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.479 + 0.021. Let n = -17.5 + a. Put 1, -20, -3, n in descending order.\nAnswer: 1, -3, n, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 24 + 11 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196894, 196875, 196836, 196771, 196674, 196539, 196360?\nAnswer: 196131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - m - 148*m**2 - 95*m**2 - 4.\nAnswer: -243*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p. Let d(n) be the second derivative of 0 + p*n**4 - 3*n - 1\/2*n**2 - 1\/20*n**5 + 0*n**3. Differentiate d(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 - -289. Calculate the highest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6336138 centuries?\nAnswer: 63.36138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -239923.4209 plus -22.1043?\nAnswer: -239945.5252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1051*a + 14717. Let w be r(14). Let u(s) = s**2 - 7*s + 7. Let f be u(6). What is the nearest to -0.25 in 0.5, f, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253538 and 3910?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 185379 + 214*j**5 + 185382 + j**2 + 0*j**2 + (-3*j + 3*j + j**3)*(-2*j**2 - 4*j**2 + 4*j**2).\nAnswer: 212*j**5 + j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/42 and -11\/1158.\nAnswer: 8106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 23 + 61 + (50 - 133)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5*w + 2*w)*(-4998*w**2 - 187*w - 179*w + 2526*w**2 - 2 + 2516*w**2).\nAnswer: -88*w**3 + 732*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 6*u - 7. Let h be g(3). Suppose 0*r - 20 = -4*n - 4*r, -r = -n + 7. Solve 16 = h*x - n*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 - 2*k**2 + 208*k + 7. Let n(u) = 3*u**3 + u**2 - 104*u - 4. What is -5*n(s) - 3*v(s)?\nAnswer: -3*s**3 + s**2 - 104*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61697 is divided by 1665.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 16*h + 78. What is the remainder when 134 is divided by n(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -36*z**2 - z + 29. Let m be s(-7). List the prime factors of (m\/180)\/((-1)\/(160\/6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 + 5*d**4 - 5*d**3 - 5*d**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k - 6*k = 111. Sort -21, -2, 14, k in decreasing order.\nAnswer: 14, -2, k, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103593076 or -103593074?\nAnswer: -103593076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 15*a**2 - 28*a + 131. Let d(m) = -7*m**2 + 12*m - 66. Determine -7*d(z) - 3*v(z).\nAnswer: 4*z**2 + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 7:10 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 785141381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) 226 (d) 1\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*h**2 - 159*h**2 - 164*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*s - w + 2*w, -4*s - 2*w = -22. Calculate the remainder when 9 is divided by s + -1 + (4 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 8664*m**2 - 103752*m - 311040.\nAnswer: -2*(m + 6)**2*(m + 4320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28950a + 0?\nAnswer: 28950a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38744464.3 rounded to the nearest ten thousand?\nAnswer: 38740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29821 + -29803. Calculate the greatest common factor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025016007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 7\/3) + (-2329)\/(-3). Suppose -5*i + m = -4*a, 3*a + 329 + 292 = 4*i. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022 + -12022120?\nAnswer: -12002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 734\/29, 155, -1\/10, -0.2 in descending order.\nAnswer: 155, 734\/29, 3, -1\/10, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21986*g**2 - 11023*g**2 - 94 - 10969*g**2 + 95.\nAnswer: -6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/19588100 and -37\/3360.\nAnswer: 470114400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4953?\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1923873 (base 10) to base 13\nAnswer: -5248b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -0*p, -p = 4*r - 16. Suppose 0 = -r*q - 12, u - 6*u - 4*q + 154 = 0. Calculate the greatest common divisor of u and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105044724*s**2 - 105044724*s**2 - 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-4 - -3) - 0. Let q = -13 + 27. Let n = b + q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/44)\/(-2*(-9)\/72)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6244 is divided by 519?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3187073.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -27. Let f = z - 9. Let j = 63 + f. Calculate the remainder when j is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(55) + sqrt(385)\/(2*sqrt(7)) + -4*sqrt(165)\/sqrt(3))\/(sqrt(1584) - sqrt(1584)*1*3).\nAnswer: 5*sqrt(5)\/48 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i - 7*i = -215. Let a(k) = -k**3 - k + 2. Let n be a(0). Solve 0 = -3*p - i*j - 1, -p - n*j = 5 - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -24*d**2 - 3*d - 3. Let b(n) = -23*n**2 - 2*n - 2. Calculate 3*b(s) - 2*c(s).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-144))\/((-2)\/(-72)). Let y(h) be the third derivative of -1\/2*h**r - 3\/2*h**3 + 0 + 0*h - 11*h**2. Differentiate y(g) with respect to g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2127315 + 493141.\nAnswer: -1634174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 + 20 + 26*k**3 - 15*k**2 + 24*k**2 + 6*k. Let v be g(-5). Round v to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 8*x**2 + 5*x + 8. Let u(t) = t**3 - t**2 + 1. Let f(n) = -i(n) + 3*u(n). Factor f(b).\nAnswer: 5*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -50*m - 382. Give n(-12).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86111*b**2*o**3 + b*o**3 - 3*b*o**2 - 37*b*o + 34*o**2 wrt b.\nAnswer: 172222*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 - -11?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 37960 = 14*f. Suppose -195*u = -197*u + f. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 6, 2, -1 in increasing order.\nAnswer: -31, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-4)*-4)\/1. Let a(h) = 5*h**5 + h**3 + 2*h. Let o(t) = -t**5 + t**3 - t. Let v(j) = u*a(j) - o(j). What is the second derivative of v(b) wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 16 - 12. Let w = -7 + a. Let y be (-4)\/(-4) + 1 + w. Let o(f) = 2*f - 3. Determine o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 7*w - 7. Let k(q) = 3*q - 1. Let x be k(-2). Determine t(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11502 (base 6) to base 12.\nAnswer: b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*s**3*t**2*u**3 + 2*s**3*t + 2*s**2*u**3 + 2*t**2 + 27*t wrt t?\nAnswer: -84*s**3*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - (-28)\/6. Let r be v\/(-6) - 26\/6. Let b(y) = -6*y + 3. Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x + 1889*x**3 + x**4 - 1886*x**3 + x**4 as f + a*x**3 + d*x**4 + q*x + s*x**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 2, i: 2, b: 3}. Give prob of picking 2 o and 1 g.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11232000 (base 4) to base 14\nAnswer: -8772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 329?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 40*z + 38. Determine y(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.1, 1673?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -122 - 4. Let n = t + 23. Suppose -5*r + n = -5. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*2*21\/63*4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29 != -3\/2849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = -12. Let m be 18\/g*(-32)\/12. What is the highest common factor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(270\/85)*(-45)\/165*22?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 24.7. Which is the second biggest value? (a) k (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384*s - 1452*s - 80 - 141 = -17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2810.69g?\nAnswer: 2810690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {s: 7, a: 3, i: 9}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -5 - (-138)\/(-44). Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/48281 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3937983 or -3937943?\nAnswer: -3937943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 114\/65 (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:35 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s - 59*s = k - 57, s + 17 = 3*k for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 395, -19, -4, 31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99, 330, 559, 786, 1011?\n\"Answer: -t**2 + 234*t - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2416, -14542, -47462, -111574, -217276, -374966?\n\"Answer: -1733*j**3 + j**2 + 2*j - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 3*a)*(10*a + 28*a + 33*a).\nAnswer: -71*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 4*m + 4. Let j = -1 - -6. Suppose -z - 40 = -j*z. Calculate the smallest common multiple of z and y(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 148 = -541. Let f = 0 + y. What is f rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-30) + (-106)\/(-12). Calculate the greatest common divisor of d and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -15. Find the second derivative of 6*d + d - 22*d - 14*d**2 + w*d wrt d.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(117) - sqrt(117)*2))\/(-5*(-3*(sqrt(9) - sqrt(36)\/sqrt(4)) - sqrt(9))).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 930766 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 21033?\nAnswer: -2103.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0606721 to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**4 + 3*u**2 - u - 1. Let w(n) = -442*n**4 - 133*n**2 + 5*n + 5. Let a(f) = 5*p(f) + w(f). What is the third derivative of a(c) wrt c?\nAnswer: -10728*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 11*s**2 + 25*s + 13. Calculate u(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/16 + (-25)\/(-4))*3350. What is i rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)*k*k)**46 assuming k is positive.\nAnswer: k**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -12 - (7 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.521953 millilitres in litres?\nAnswer: 0.000521953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 + 3923 - 3923)*(4*b + b**2 - 4*b).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 12*x + x**2 - 20 + 41*x.\nAnswer: x**2 + 53*x + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5761 is divided by 5049?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - i = 0, 0 = -4*b - b - 5*i + 8*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 27344022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2238\/13 - 172. Let o = -2700 - -353697\/131. Let z = o + 313\/2227. Which is the third biggest value? (a) r (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i + 3 - 16*i - i**2 - 3*i**2 + 2*i**2. Suppose 4*m + 4 = 3*m, 5*l = -m + 6. Calculate f(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.1 - -13. What is the nearest to -1 in -4, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103930 and 6340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -163, -487, -1119, -2161, -3715, -5883?\n\"Answer: -17*w**3 - w**2 + 4*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 3*a**3 + 2*a**3 + (4*a + 2*a - 5*a)*(3*a**2 - a**2 + 0*a**2) - 2*a + 2*a**3 + 2*a + 0*a**3 + a**3 + 2*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5.4. Let l = 1283\/207 - 55\/9. Which is the second biggest value? (a) l (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -12, -4\/31, 3.\nAnswer: -12, -4\/31, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 465 = m. Let d = m - -246. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -616 or -4827?\nAnswer: -4827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*w + 10*w. Let p = 3.81 + -2.81. Which is the nearest to 1\/4? (a) p (b) w (c) -0.4 (d) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*r + 71, -3*r + 43 = 4*c + 2*r. Suppose -19*b + c*b - 43200000 = 0. Round b to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:09 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/12 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 316336 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 658*t - 91595. Give y(200).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 8:52 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-0.136\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 2, y: 4}. What is prob of picking 1 y and 1 q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100408 (base 9) in base 3?\nAnswer: 1010000110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5064816759?\nAnswer: 3, 18251, 92503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -68.1. Let j = -0.2 - -0.3. What is the second biggest value in c, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -6 - 129\/4*u**2 - 27\/4*u**4 - 87\/4*u**3 - 3\/4*u**5 - 45\/2*u = 0?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 3\/5, 3\/1871, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by 19763.\nAnswer: 106\/19763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 653 and 438163?\nAnswer: 438163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 617899330 divided by 3727?\nAnswer: 165790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 18*a + 1. Calculate h(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 20*u**2 + 20*u + 19. Let w be n(-19). Solve w = r, 3*r + 4 = g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:35 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 13 (c) 1 (d) 23 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -85. Let f = -29 + k. Suppose 6*g + 3*a = g - 845, -3*a - 501 = f*g. Round g to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 12) to base 5.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 182 - 221 + 2*j + 1420 + 2*j**3 to l*j**2 + p + h*j**3 + t*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20*n**2 + n. Let o(s) be the second derivative of 44*s**3\/3 + 727*s. What is o(h(b))?\nAnswer: -1760*b**2 + 88*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 245*i**2 + 1 + 188*i**2 + 433*i**2 to the form x*i**2 + a*i + t and give x.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4580820 divided by 5.\nAnswer: 916164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 = -175*g + 220*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*g + g + 47 = 0, 0 = -5*n - g + 60. Suppose -3*k + 12 = -4*l - n, -3*k + 2*l + 17 = 0. Let a = k - 3. Solve -8 = -2*b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(100)\/(sqrt(10)*2))\/(-6*sqrt(10)\/sqrt(2)))**2.\nAnswer: sqrt(2)\/6 + 73\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -5811870.2509.\nAnswer: -5811871.2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*h + 3 - 1, -4*t - h = -22. What is the least common multiple of t and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 = 3*l - 2, 4*l - 16 = 0. Let x = q + 59. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 + 3*y + 108. Let b(k) = k**2 + 272. Give w(b(i)).\nAnswer: 6*i**4 + 3267*i**2 + 444828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-28) + 46548\/(-48). Do -971 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19819 is divided by 1413?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/3 - 3040*z**3\/3 + 362304*z**2 - 147895808*z\/3 + 6976336384\/3.\nAnswer: 2*(z - 1076)*(z - 148)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11153, -3, -119, 23 in decreasing order.\nAnswer: 11153, 23, -2, -3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1089)\/(-44) + (-1)\/(-4). Solve -y = 4*n + n + 5*v, 18 = -2*n - 4*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/20)\/((-90)\/264)*380\/(-114).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 343945656?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*n - 95 = 0, -n + 26 = g - 3. Let t be 2 + (3 + g\/(-7) - 1). What is the closest to 0.1 in 4, -1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3 + 5276*o**2 + 104528*o - 502656 = 0. What is o?\nAnswer: -2618, -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123600 and 522525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13888 and 744496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2044*w + 2056*w = -60 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 13 - 5 = 0. Let l = -7 - s. Let p be (4\/(-10))\/(6\/l). Which is smaller: p or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/5*(-100)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.601 + -545.701. Let z = f + 539. Let p = 3 - 3.5. What is the biggest value in -4\/3, z, -1\/9, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9312 * 5\nAnswer: -4.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-9 - -4)) + 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/4 + 1 + -5. Sort p, 5, 20.\nAnswer: p, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8533441.\nAnswer: 7, 787, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a - 2291704 = -3*a + 945242. List the prime factors of a.\nAnswer: 2, 3, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:08 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/((((m**(1\/4)*m)\/m)\/m)\/m))))**(-4\/9)\/(m*m**(-1))**(-48))**(-1\/31) assuming m is positive.\nAnswer: m**(11\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(1\/8)*l))\/l)\/(l*l*l\/(((l*l**(-11\/5))\/l)\/l))*l*l**(-4)*l**(1\/2))**(2\/77) assuming l is positive.\nAnswer: l**(-433\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 113726 times -9.39?\nAnswer: -1067887.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 10*x**2 - 28*x - 41. Let i be u(-12). Let h be (((-243)\/(-15))\/(-3))\/(i\/(-35)). What is the greatest common factor of h and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 82*y. Let u(m) = 488*m**2 - 6*m + 1. What is o(u(l))?\nAnswer: 40016*l**2 - 492*l + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 10 = 3*k, 4*k - 3123 = 4*n - 3083 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-251)\/(0 + 3 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + 4*n**3 - 4*n**3)*(40*n + 3 - 39*n + 0).\nAnswer: 3*n**4 + 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 - 55*v - v**2 + 116 as s + k*v**2 + t*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98725, 98721, 98715, 98707, 98697, 98685, 98671?\nAnswer: 98655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1.6, 2\/59, 2\/13, 3279?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5237 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 212536393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d. Let w(a) = 2*a**2 - 21*a + 6. Let p(f) = 2*f - 1. Let i(h) = 6*p(h) + w(h). Determine 2*i(t) + 18*z(t).\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -19*i + 176. Let p be g(9). Let n = 72.925 + 0.075. Let v = -75 + n. Which is the biggest value? (a) -4 (b) v (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6019 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(7 - (-1 + 1) - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267526253?\nAnswer: 6691, 39983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -9. Suppose 4*b + 11 = -25. Let k = b + 17. Calculate the remainder when k is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 4 + x**2 + 6. Let c be q(0). What are the prime factors of (1 - 15\/25) + 686\/c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 26*a**3 - 28*a**3 - 34*a**3 + 80*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {v: 5, x: 5, o: 3}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 430 and 215.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -828\/35 - -160\/7. Suppose -h + 2 = 4. Let l = 0 + h. Which is greater: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-49))**(-1\/2)\/((l**43*l)\/l**21) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 334 (b) 0.5 (c) 0.4 (d) 9 (e) -45 (f) 2.4 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 3) + 2 + -3. Let t be (-24)\/(-16)*(-2)\/x. Is (t - 1098\/8)*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1945*y**3 - 3*y**2 - 6*y. Let b(v) = -5834*v**3 - 10*v**2 - 20*v. What is -6*b(u) + 20*n(u)?\nAnswer: -3896*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20801 (base 10) in base 15?\nAnswer: 626b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*q**2 - 171\/4 - 33\/2*q = 0. What is q?\nAnswer: -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v - 5*s, 16 = -0*v + v - 2*s. Suppose v = -2*i - 4. Which is smaller: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2377434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 5*y = -u - 10, 5*y = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 750917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 780546.42 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence the when three letters picked without replacement from {h: 3, e: 2, s: 1, t: 1, g: 3, w: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 9*j**2 - 8*j - 3. Let n be x(8). Let a = -73 - -33. Find the common denominator of 67\/20 and n\/6 - 178\/a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2796 = 14796. Suppose w = i + 4*i. Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -314*v**2 + 5*v + 5. Let r be a(-4). Let j(p) = -67*p**2 - 4*p + 17. Let g be j(-7). Let y = g - r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 52 = -2*u, -4*u - 58 = m - 66. Let p = 59 - -37. What is the smallest common multiple of p and m?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -8. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**6\/240 - j**5\/10 + 19*j**4\/12 - 2*j. Let n(g) be the third derivative of y(g). Differentiate n(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-238)\/(-6) + (-7)\/(-21). Suppose 4*k - v = -0. Let r be (5\/k)\/((-43)\/4). Is r at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53249 divided by 1?\nAnswer: 53249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 + 42*d**4 + 495*d**2?\nAnswer: 60*d**2 + 1008*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*i - 1033864, h - 112460 = -3*i + 94296. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let f(i) be the first derivative of 5*i**4\/24 - 3*i**2\/2 + 12. Let j(m) be the second derivative of f(m). Give q(j(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**3 - 1320*f + 13*f**3 - 58*f**3 + 22*f**3 - 1200 - 123*f**2.\nAnswer: -3*(f + 1)*(f + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 425\/9, 1046?\nAnswer: 1046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 5\/4 (b) 280 (c) 1 (d) 1137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:21 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 5 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(14 - 28) + 132\/16\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288151431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47808.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 299, 283, 255, 209, 139?\n\"Answer: -q**3 - 9*q + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*(-50)\/(-275). Let t = -2 + 2. Is l equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 124, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 2*r**2 - 41*r + 145. What is t(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -3*l**5\/4 + 11*l**3\/3 - 16*l + 3. What is the second derivative of z(f) wrt f?\nAnswer: -90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4424359 divided by 18.\nAnswer: -4424359\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 2*p - 4. Calculate s(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167501 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 + -18.28. Let w = v - -17.7. Put w, -3\/4, 11 in decreasing order.\nAnswer: 11, w, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -136. Calculate the smallest common multiple of 4 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1281608\/5 < -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 11 + 23)*(-6 + 4*i + 6)*(2*i - i + i) to t*i + d*i**2 + l and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.206, 2\/5, -3, -4825?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let v(g) = -8*g - 2. Let m(a) = a**3 + 2*a**2 - 8*a - 1. Let k be m(2). What is k*v(h) - 5*r(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -391, -765, -1125, -1471?\n\"Answer: 7*d**2 - 395*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (8\/6 + -2)*-36 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 2*b - 9 = 0. Let l be 0 - -1 - (-1 - -2). Sort 3, l, b in decreasing order.\nAnswer: 3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*h**4 - 4*h**3 - 32*h**2 wrt h?\nAnswer: -744*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-3)*r))*r**(-7)\/r)\/(r**(1\/2)\/(r\/(r*r\/(r\/r**(2\/7))*r))) assuming r is positive.\nAnswer: r**(-165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -16*s + 23*s. Suppose s*f - 4980 = -f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/6 - 728515*t\/3 + 530734105225\/6 = 0. Calculate t.\nAnswer: 728515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206586761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**6\/180 - o**5\/120 - o**4\/24 + 5*o**3\/36 - o**2\/6 + 18*o. Suppose d(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*t - 91 = 444*t + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 1 + 1 - 4*a + 4*a - a + (-4 + 2 + 4)*(-1 + 1 + 2*a) - 3 - 5*a + 4*a - a.\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*q**2 - 284931*b**3*q*w**3 + 2*b*q**2*w + 10*q**2*w**3 - 2*q**2*w - 67481*q**2 wrt b?\nAnswer: 12*b*q**2 - 1709586*b*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*o + 23 + 49*o - 25 + 10*o.\nAnswer: -35*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.029 - 0.029. Let w be 2\/8 - (-45)\/(-132). Let m = 117\/70 + -21\/10. Which is the smallest value? (a) x (b) w (c) 4\/7 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.958 + -18.058. What is the nearest to v in -3, -39\/8, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2)*(4 + -3). Suppose c = -0*d + d - 6. Solve 4*w - d = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19909 and -2.\nAnswer: 19907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -35, -1069 in decreasing order.\nAnswer: 4, -35, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 1462 = -54. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**2 + 7*v + 178*v**3 + 14*v + 307*v**3 + 17. Suppose 3*q + 57 = 3*w + 6, 2*q = 5*w - 85. Let h be n(w). What is h rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-21)\/48)\/(4\/((-24)\/(-3))).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*v + 200 = 0, 0 = 3480172*v - 3480165*v + 287 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, o: 3, x: 6}. What is prob of picking 2 x, 1 o, and 1 b?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.36 times 15718\nAnswer: -37094.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 12*g + 192. What is i(-11)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6460054*h**3 + 1888972*h + 2.\nAnswer: 38760324*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*k + 201*k - 126*k - 3.\nAnswer: -25*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6)*(-36)\/8. Let b = i - -3. Let g = b + 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 4 (b) -3 (c) -129 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15315091 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:09 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 5*c + 220, o + 22*c - 157 = -19 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*q + 105*q = -4*j + 37, 13 = 2*q + j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71612 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.6 - 6. Let o be (1*1\/(-2))\/(-7 + 8). What is the closest to -2\/5 in p, 5, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23789?\nAnswer: 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1878507*f**3 + 246 - 1878507*f**3 + 402*f**4 wrt f.\nAnswer: 1608*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773, 774, 777, 782?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8872 and 4452?\nAnswer: 9874536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 56b28?\nAnswer: -56b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c + 57*c - 1772 = 0. Let k be 20\/(-40) - c\/(-4). What are the prime factors of -2*(-1)\/((-4)\/k)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.007 and -0.25.\nAnswer: -0.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -90 (b) 2 (c) 2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (3 + (8 - (3 + -8 + 7)) - 0).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 101\/2*u**2 - 11\/2*u**3 + 46*u.\nAnswer: -(u - 10)*(u + 1)*(11*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(1\/(-18)). Let q be ((-6)\/i)\/((-2)\/15). Let g(m) = m**2 - m + 2. Let t be g(2). Solve 5*l - t*l = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 5*b**2 + 0*b**2)*(-1 - 3*b + 1)*((-4 + 4 + 1)*(-1 + 6 - 3) + 6 - 14 + 9).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*g**3 - 3*g**2 - 12*g**3 + 2*g - 9*g**3)*(1195*g - 520*g - 50*g) in the form o*g + v*g**2 + b*g**3 + t + n*g**4 and give b.\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875*q + 436*q + 438*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2. Let i(v) = -v**2 + v - 12. Let p(h) = -239*h**2 + 3*h - 36. Let f(k) = -3*i(k) + p(k). Determine f(a(c)).\nAnswer: -2124*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o - 5. Let r be a(-3). Let n(q) be the first derivative of q**3 - 3\/2*q**4 + 3*q**2 - r + 0*q - 3\/5*q**5. Factor n(s).\nAnswer: -3*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*t + 13. Suppose -t*k + 2008 = -k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 + 1668*y**2 + 3324*y = 0.\nAnswer: -554, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -11. Suppose 0 = -f*u + 10*u - 10. What is the remainder when 7 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 - 140.65247\nAnswer: -219.65247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + -3 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, -47, 0.\nAnswer: -47, -2, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49959 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -522972.75 and -0.5?\nAnswer: 261486.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216*162.\nAnswer: -34992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14217787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4032, -7150, -10268?\nAnswer: -13386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2170)\/(-7) + 6\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2, -0.1, -25160 in increasing order.\nAnswer: -25160, -2, -0.1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2096 - -2104. Solve -k*f = -559 + 527 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p + 12*p - 68 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 861 - 867. Let d = 45.5 + -46. Which is the smallest value? (a) d (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 + 1059*g**4\/5 - 14334*g**3\/5 + 47556*g**2\/5 + 21384*g\/5 = 0. Calculate g.\nAnswer: -2\/5, 0, 6, 11, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 11*q = 18*p - 154, 0 = -5*q - 3*p + 37 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0841 to three dps.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2 + 0 - 4)*(-2*h + 2*h + 3*h**2).\nAnswer: 9*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366 + 28. Let m = x - -669. List the prime factors of m.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1554, -1017, -116, 1149, 2778, 4771, 7128?\n\"Answer: 182*c**2 - 9*c - 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 446 + -335. Let f = b + 777. List the prime factors of f.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90.3 - -4.7. Let a = 90.08 - i. Let v = -0.08 + a. Sort -3, 0, v in descending order.\nAnswer: 0, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 4\/3, -4 in decreasing order.\nAnswer: 4\/3, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-11)\/88*(3\/(-12))\/((-3)\/48)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137 * 0.00612.\nAnswer: -0.83844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14860 = d, 0 = 2*y - 2*d - 0*d + 7420. Let m = y + 6009. Let f = m + -1408. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*x - 3 = 0, -2*x + 6 = -4*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -3\/8, 0.17, -1956, -0.26?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let p = 37 + q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*y**3 + 89*y**3 - 46*y**3 + 66*y**3.\nAnswer: 208*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*w - 64, 11*w = 14*w - 4*z - 58. What is the remainder when w is divided by 2\/7 - (-165)\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 40*r + 88 - 3 + 15*r + 20*r to u + b*r and give b.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(360)*-1))**2 + (sqrt(28)\/sqrt(36) - ((2*sqrt(7))**2*6 + sqrt(7))).\nAnswer: -6041\/36 - 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-20))\/((-18)\/16)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -32. Suppose -16*w = 56*w - 6374 - 466. Calculate the remainder when w is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733481 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2 and -13\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -372780 divided by -545\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:54 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -195 (base 10) to base 14\nAnswer: -dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 7*o - 1. Let h be k(4). What are the prime factors of (-119)\/(-2)*(h\/(-7) - -1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(-2*(sqrt(1700) + 3))**2 + (sqrt(1700)*1 + 2 + -1)**2*2.\nAnswer: 1480*sqrt(17) + 44419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370717 = -47*x + 14*x + 412571. What are the prime factors of x?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(1\/3)*s)*(s**9*s*s)\/s)**(2\/13)\/(s**(3\/2)\/s**(-7)*((s\/((s*s**(-1\/4)\/s)\/s))\/s)\/(s*s\/s**(3\/2))) assuming s is positive.\nAnswer: s**(-1187\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 10*h**2 + 589*h - 532. Let z(c) = 4*c**2 + 196*c - 176. Let y(j) = -4*n(j) + 11*z(j). Solve y(p) = 0 for p.\nAnswer: -8, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**5\/60 + 3*n**4\/4 + 29*n**3\/6 + 3*n**2. Let g be h(11). Let f = g - 87. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = -3*y - 224, -3*s = 2*y - 306. Calculate the highest common divisor of s and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkpkpkpk. What is prob of sequence kkkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19117 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -9*v + 183. Calculate the remainder when 30 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 909640*v.\nAnswer: v*(v - 909640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 617 + -623. Calculate the remainder when 69 is divided by ((-48)\/a)\/((-1)\/3*-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9522*h**2 - 104696*h - 41. Determine k(11).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/5))\/(a**(-28)\/a*a)*a**(-4)\/(a*a**6) assuming a is positive.\nAnswer: a**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 + 3 = 0. Suppose -8*x + u*x = -2. Suppose x*m = 4 + 8. What is the remainder when 15 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c\/(c\/(c*c**5))))\/c*c)\/(c\/(c*c\/(c**(1\/9)*c))))\/(c**44*c*c**(-3\/8)*c) assuming c is positive.\nAnswer: c**(-3581\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13617211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqnqqbnqnnnnnnx. What is prob of picking 1 b and 1 n?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3520683+-7893971\nAnswer: -7893971.3520683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.08. Let c = -141.98 - i. Let h = -141.99907 - c. Round h to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u - 13. Let x(v) = 3*v**2 - 2*v + 26. Let w(m) = -5*i(m) - 2*x(m). Let h be (0\/(-2 + -1))\/(-3). What is w(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236\/5 + 467\/10. Let a be (1\/((-4)\/(-106)))\/10. Let g = -12\/5 + a. Which is bigger: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1484 + -1483.84. Which is the nearest to 2? (a) 78 (b) y (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:57 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 6*p - 7. Is (-36)\/15 - p - 66140\/(-100) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10580 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 = -3*w + s + 373, -8*w + 4*s - 468 = 0 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 69, 145, 249, 381, 541?\n\"Answer: 14*o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159699, 5, 9 in ascending order.\nAnswer: -159699, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5787054 milliseconds in days?\nAnswer: 0.0000002150313125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 4327?\nAnswer: 30289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 2*g**2 + 15 - 27)*(4 - 3 - 7) in the form f*g + w*g**2 + k and give k.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6*h - 42 - 24 = 2*u, 95*u - 2*h + 34 = 51*u + 50*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1))**(-4\/11)*r\/(r\/(r\/(r\/(r*r**(-1\/8)*r))))*r*r**(4\/3)\/r)\/(r**(2\/17)*r**6*((r*r**5)\/r*r)\/(r**(-6\/11)\/r*r)) assuming r is positive.\nAnswer: r**(-44065\/4488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11 + 2*q**3 + 16*q**2 + 34*q - q**3 - 7*q - 3*q**2. Let f be j(-11). Let y = 49 + f. Solve -4*w + 0*w = -4*b + 8, y*w = -4*b - 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 - -11.78. Let j = -11 + f. What is the third biggest value in 3, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, 0.4, 0, -1\/4, 0.01, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*f**4 - f + 5.\nAnswer: 372*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + 2\/6. Let s(j) = 1. Suppose -3*y + 2 = -2*y. Let t(z) = y*z - 7 + 3 + 6. What is m*t(l) - s(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 60*c**2 + c - 1. Let n be w(-2). Suppose 4*g = 2*a - 85 + n, -3*g + 109 = a. Calculate the remainder when g is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -5)**2 + 3.\nAnswer: -20*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3501 + -0.331. Which is the second smallest value? (a) 1\/6 (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2*1*-2. Let x = 51\/10 - 74\/15. What is the biggest value in -0.2, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 + 37?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 21*x + 6136 - 6252 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915 and 11?\nAnswer: 10065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z = -z - 902 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -3. Let h = -30 + z. Let j(t) = 5*t - 12. Let f(g) = 11*g - 26. Let d(s) = 6*f(s) - 13*j(s). What is d(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1403a7977 + -3?\nAnswer: -1403a797a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.823 + 0.823. Put q, 1\/9, 8\/9 in decreasing order.\nAnswer: 8\/9, 1\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = 2*q + 4*k, -5*k = -4*q + 33. Suppose 0 = 3*g + q*c - 3, 2*g + 0*g - 5*c = 21. Is 1\/g + 1014\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -12050?\nAnswer: -12052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = -4*i + 4*t, -5*t - 3 = 2*i. Let r = -2 + 12. Suppose -n + 6 = 3*o - 3, 4*o + 2*n - r = 0. Solve 5 = -o*w + i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2064 divided by 688.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 + l**5\/12 - l**3\/6 - l**2. Let b = 24 + -29. Give a(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(5) + sqrt(80)) + -1).\nAnswer: -45*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1690 = 106*y, 0 = -5*y - t + 9 - 28 + 26 + 71 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1074500 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pioiciim. What is prob of sequence imc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5381082 is divided by 161?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-897)\/(-1035) + 4\/30. Solve 17 = -9*i - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1443 + -1442.34. Which is the biggest value? (a) x (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 895, 893, 891, 889?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1334110?\nAnswer: 1334115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56654 = -1635*d - 571 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -234\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+0.08049\nAnswer: 0.12049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - 5 - (-3 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 17 - 4*d + 10. Let p be o(-5). Solve 3*h - 10 = -4*z, p*z - 5 = -3*h + 4*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n + 158 - 316 + 156.\nAnswer: 11*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1086 divided by 1086.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -0.1 (b) 0 (c) -5 (d) -0.5 (e) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 275, 534, 793, 1052, 1311, 1570?\n\"Answer: 259*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -10*r**5\/17 + 13880314*r**4\/17 - 61073254*r**3\/17 + 91609822*r**2\/17 - 55521088*r\/17 + 11104216\/17 = 0.\nAnswer: 2\/5, 1, 2, 1388027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*s**2 + 126*s**2 + 0*s + 40*s to the form d*s**2 + r*s + h and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320289?\nAnswer: 3, 241, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 3. Let x be ((-2)\/4)\/(2\/(-56)). Let h = -8 + 6. Let b be (x\/7)\/(h\/(-4)). Calculate z(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**6\/y)\/(y*y**1))\/(y**(-2\/3))**(-1\/51))**(5\/9) assuming y is positive.\nAnswer: y**(2285\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/23)\/(5\/(-4)*2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m + 18. Let o be z(6). Let t = -20 - o. Suppose 0 = -t*c + 164 + 304. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3792 = -2*p - 2*t, -2*p - t + 5704 = -5*p. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i + 13. Solve -13 = 6*a - i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1962 greater than -1962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 6*d + 4. Determine t(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4190 and 55308?\nAnswer: 276540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 82 + 9\/(36\/16). Suppose j*k - 91*k = 0. Suppose k = 2*v + 3*t - 1035, -4*v + 3*t = -1633 - 392. What is v rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1623, -1619, -1593, -1533, -1427, -1263?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26253*d**2*p**2*z - 3824*d**2*z - 3*d**2 - 3*d*p + d*z + 3*p**2*z wrt p.\nAnswer: -52506*d**2*p*z - 3*d + 6*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.01, -4, 2\/7, 5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36185521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -329, -1329, -2993, -5321, -8313?\n\"Answer: -332*w**2 - 4*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.033094 and 4.\nAnswer: -0.132376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*y + 1541*y - 308*y - 9 - 308*y - 302*y - 314*y.\nAnswer: -y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -23. Suppose -7*q = -3*q - o. Suppose 4*u = -x + 6, x - 5 = -2*u + q. Solve -x = -r + 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {s: 2, t: 2, f: 1, k: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -k. Suppose -2*o = 10, 0 = k*i - 5*o + 4*o - 20. Let b be (-4)\/48 - ((-10)\/6)\/i. What is the fourth biggest value in b, -5, -0.06, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*h + 106, 4*o + 367*h - 366*h = -207 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 8. Let g be j(-3). Suppose 3*b - 20 = -p + 2, 3*b = g*p - 80. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*n**4 + 3*n**4 - 14*n**4 + (-3*n**3 - 14*n**3 + 8*n**3)*(3*n - n - 3*n).\nAnswer: -38*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 804 = -4*u - 4344, 0 = -5*u - o - 4444. Let h be 3\/(-8) + (-485181)\/u. Calculate the highest common factor of 42 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 21*i = -5*j + 6, 2*i + 4*j - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/((-168498)\/37))\/(3\/18).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110110111010100 - 0?\nAnswer: -1001110110111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/40 + t**5\/20 - t**4\/4 + 20*t**2. Suppose z(r) = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000010 (base 2) to base 3.\nAnswer: -1020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3344 + -50123\/15. What is the common denominator of a and -41\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = g + 4*g + 50, -3*o = 5*g - 75. Solve 3*y + 2*y - o = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 290*r**2 + 22*r - 37. Is q(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60925909.\nAnswer: 11, 17, 325807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 16*n - 3*n**2 + 5*n**2 - n**2 + 17. Let b be f(-14). What is the highest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -39*v**2 + 389*v + 14. Let y be k(10). Let r(o) = -o - 2. Let z be r(-5). Solve -7*t + z = -3*f - y*t, 2*t - 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 0.04 (c) -3\/5 (d) -16\/5 (e) 172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-3)\/y)**(-21)*y\/(y*y\/(y\/((y*y**(-2\/13))\/y)*y))*y\/(((y\/(y**7*y))\/y)\/y) assuming y is positive.\nAnswer: y**(691\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 12*b + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221110202102121 - 11?\nAnswer: -1221110202102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -7. Let g(u) be the second derivative of -u**5\/20 + u**3\/6 + u. What is the units digit of g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-4)\/(-50)*5840\/9344)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215989.\nAnswer: 149, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154.9818 - -155. Round p to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2. Let c(a) = -8699*a + 72. Let n(z) = 6613415*z - 54736. Let w(r) = 6842*c(r) + 9*n(r). Determine x(w(j)).\nAnswer: 9478658*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 1072, 2306, 4006?\nAnswer: 6172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/5 - (-8 - -10). Factor -m**3 + 0 + 4\/5*m + c*m**2.\nAnswer: -m*(m - 2)*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g - g**2)*(-1 - 3 + 2)*(3*g - g + 0*g)*(-4 - 7 + 4) to the form h + v*g**2 + k*g + i*g**3 and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -199*g**3 + 2*g - 2. Let s(z) = -199*z**3 + 3*z - 3. What is -3*r(a) + 2*s(a)?\nAnswer: 199*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/16)*z)\/(z**(-1\/8)*z)*z*z**(-25)*z*z*z**(-7) assuming z is positive.\nAnswer: z**(-463\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 25 = -6*p, p = -y - 5. Let l be (-686)\/y - (3 + 68\/(-20)). What is the greatest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -49, -10, -5, 2719 in descending order.\nAnswer: 2719, 4, -5, -10, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 9. Let p be (-3*1)\/((-5)\/15). Let x be b(p). What are the prime factors of 7 + (1 - 2) + x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*r + 9 = 0, t - 3*t = 5*r + 8. Suppose -3*s - 3*g + 8 = -t, 5*g = -3*s + 5. What is the highest common divisor of 25 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13642 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 76. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 9. Suppose -4*k = -101 - 39. What is the units digit of ((-182)\/k)\/((-4)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - z - 2749 + 2749.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-29)*h*h\/(h**(-3\/2)\/h)*h*h assuming h is positive.\nAnswer: h**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 329177 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671864 is divided by 7072.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/7*u**2 - 232\/7 - 1052\/7*u = 0. What is u?\nAnswer: -29, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times 0.15?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 less than -1835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5 + 4880*z**4 + 19432*z**3 - 136352*z**2 + 155904*z = 0.\nAnswer: -2436, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**4\/2 - 2*y**3\/3 - 3*y**2\/2 - 2*y + 9. Let u be d(-1). Suppose -215 = -r + u*b, -r - b = -5*b - 213. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-15))\/((-62741)\/(-15685) + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.8778 decades to years.\nAnswer: 9318.778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 12. Suppose 0*o - 3*o = -12, 56 = m + w*o. Calculate the remainder when 61 is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - 9\/(-4). Suppose -5*x + 22 = f. Let -2*g**x - 5*g**5 - g**5 + 2*g**2 - 2*g**5 + 8*g**3 = 0. What is g?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 8 - 128. Let y be 10\/3*(i\/5 - -5). Let n be (-10)\/33*(-60)\/50 + 0. What is the biggest value in y, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-1 - -1 - -7 - 9). Suppose 4*r + 4*h = -0*r - 16, 0 = r - h + 8. Let y = -4 - r. Put y, w, -12 in increasing order.\nAnswer: -12, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/3 + 190*y**3\/3 + 17104*y**2\/3 - 3681280*y\/3 + 9420800 = 0.\nAnswer: -138, 8, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(85)*4 - sqrt(85))*-1*-5)\/(-6*(5*sqrt(5)*1 + sqrt(5))*2).\nAnswer: -35*sqrt(17)\/72 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(272) + 0) + -1.\nAnswer: -4*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/6 - 5*j**4\/2 + 559*j**3\/6 - 2977*j**2\/6 - 93*j + 1496\/3 = 0. Calculate j.\nAnswer: -34, -1, 1, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**2 - 4\/3*z**3 - 10*z - 11\/12*z**4 + 0. What is the second derivative of l(k) wrt k?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146925 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 + a**2 + a. Let t be l(-1). Solve -1 - t = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2241 - 2241.06. Which is the closest to p? (a) 5 (b) 0.2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + -3 + (0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = 135 - 96 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 5*h**2 - 6*h + 6. Suppose 2*r + 5 = 17. Calculate v(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g**2 + 1 + 0*g + 0 + 2*g. Let r be b(-2). Suppose 138 = -2*y + 4*y + 2*q, q = y - r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 7:38 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 4 - 4*y + 5*y)*(-1 + 1 - 2*y**2).\nAnswer: 2*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1*(-133 - 0). Suppose -98 = -7*x + h. Calculate the common denominator of -131\/36 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/20 + l**4\/12 + l**3\/6 + 4*l**2 + 2*l. Let t be d(0). Let r(i) = i + 3. Give r(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 13 = 4*y, 3*k + 15 = 0. Suppose -y*f - 2*f = 3*p, 5*p + 2*f = 0. Which is the closest to 2? (a) -2 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 132.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(28) + -4 - (3 + (sqrt(847) - (sqrt(847) + (sqrt(847) - (-3 + sqrt(847)))))))**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1954 and -0.568.\nAnswer: -1954.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1441 + -1439. Solve 3*y + 4*d + 2 = 7, -d + 5 = r*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 - 138. Let y be (2 + -4 + r)*-1*15. Let n = -30 - -35. Solve -4*a = -n*l - 23 + 2, l - y = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (168 - 195 + 5*q + 6*q)*(1 - q - 1)*(-1 - 1 + 3) to the form n*q**2 + s + a*q and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 + -263. Suppose 0 = -0*f - 5*f + 5. Suppose i + 2*i = -2*s + 6, -s = 3. Sort i, f, r in decreasing order.\nAnswer: r, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 + 64 + 53 + -47 + 2\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8612 (base 10) to base 5.\nAnswer: -233422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 8. Let v = g + 3.6. What is the nearest to -2\/3 in 0.2, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose -4*v + 101 = -i*j, -3*v + 2*v + 54 = 5*j. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 349936730 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28849*r**2*t**3*w - 6701*r**2*t*w - 723*r*t**3*w - 3164*r*t**2*w - 5*r*t wrt r.\nAnswer: 57698*t**3*w - 13402*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8324 divided by -4?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 14 = -0*b + t, 2*b = t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 + 2. Suppose 53 + 11 = 2*z. Let i = z - 37. Which is the third smallest value? (a) k (b) i (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 21 + 6 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 12*u**2 - 2*u - 17. Let p be c(5). Is p less than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) 3\/4 (c) 3 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 489543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1211 + 1828. Let t = h - 218. Let u = t - 397.23. What is u rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2 - 2 + (-4*q**2 + 3*q**2 - 4*q**2)*(3 + 0 + 1))*(0 + 4 - 6)*(2 - 3 + 3).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 7910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18982097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a90 - -23a?\nAnswer: 1cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6892 - -12111. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let p(s) = 123*s + 146*s - 328*s + 2. Calculate h(p(u)).\nAnswer: 59*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17913.497 + 21.\nAnswer: -17892.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i*i**(-2\/15)*i*i*i)*i)*i*i*i*i**(2\/11) assuming i is positive.\nAnswer: i**(998\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -48.51. Let x = 0.31 + n. Sort 0, 1\/4, x in decreasing order.\nAnswer: 1\/4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**2 + 3*g - 3. Let d(t) = 8*t**2 - 3*t + 2. Let k(r) = 3*d(r) + 2*j(r). Find the second derivative of k(c) wrt c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 114. Let n = 20 - 20. Let q be p(n). Suppose -5*i + q - 24 = 3*y, -3*y + 54 = 3*i. Calculate the remainder when 52 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38307\/35 - -7660\/7. Let g = -0.3 - -0.1. Which is the closest to g? (a) 0.4 (b) l (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/2*100\/(-15). Let h = -5 - s. What is the highest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:45 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l**2 + 4*l - 7. Let m be y(3). Calculate the greatest common factor of 451 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*z**3 + 15*z + 3*z**4 - 12*z + 4 + 2*z**2 as o*z + k*z**2 + l*z**4 + n + y*z**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**10*q\/(q\/(q**(4\/9)*q))*(q**(-9\/5))**(-21) assuming q is positive.\nAnswer: q**(2216\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -596 by -4.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 741 + -740.8. Let u be (2 - 10\/3) + 2. Which is the nearest to g? (a) -4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovoo when four letters picked without replacement from {y: 3, v: 12, o: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/532 and 113\/24850546.\nAnswer: 944320748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/4 + 4\/8. Let v(h) = h**3 + 6*h**2 + 6*h + 1. Let d be v(b). Let l = 12 + d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-2))\/(2\/2). Let a(v) = v**3 - 8*v**2 + 8*v + 2. Let x be a(7). Let y(n) = -n**3 - 3 + 7*n - 4*n**2 + x - 2*n. Calculate y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8) - (8 - 86\/72*6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*o - 5*g, -2*o - 10 = 2*g - 26. Solve 0 = m + 4*t + 6, o*t + 14 = 4*m - 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.5. Let n = m + -5.2. Let h = -100 - -100.4. Put n, 1\/6, h in increasing order.\nAnswer: n, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7573.28 millilitres in litres?\nAnswer: 7.57328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377 + -106. Let y(h) = 272*h**2 - 536*h**2 + p*h**2. Let g(r) = 3*r**2. Determine g(y(d)).\nAnswer: 147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794702 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/8, -0.5, 5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. What is the units digit of 4 + w + 3 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 + 340*i + 244. Is n(-60) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8101890*r**3 - 1192584*r wrt r?\nAnswer: -48611340*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o + 7. Let f(p) be the second derivative of 4*p**3\/3 - 4*p**2 + 228*p - 1. What is 6*b(u) + 7*f(u)?\nAnswer: 2*u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -f. Suppose -p = -2*d - f*p + 9, p + 3 = 4*d. What is the third derivative of -14*h**d + 7*h**4 - 12*h**2 - 6*h**4 - 6*h**4 wrt h?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53\/28 + -15\/7. Let y = -0.06 + -1.94. Let l = -79 - -74. Which is the third biggest value? (a) 14 (b) m (c) l (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + g + 3*g)*(3 - 8 + 3)*(g - g - g**2) + (2*g - 5*g + 2*g)*(-21*g + 4*g**2 + 21*g) as s*g + v + l*g**2 + m*g**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -50. Suppose -3*q + g = -0*q, 3*o = 2*q + 13. Does 44 divide (3710\/12)\/o - (-11)\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167c (base 14) to base 10\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 8*m - 10. What is z(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 3.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -13) + (-1*12 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*i - 23 = 2*a, 20 = -4*i. Suppose 5*m + 3 = -22. Let o = 10 + m. Solve a*r + v = 8, -4*v = -3*r - 9*v + o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -77*v**3 - v**2 + 5*v + 6. Let u be p(-2). Calculate the highest common factor of 114 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45535 is divided by 5662?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*y**3 + 2*l*y**2 + 27*l*y + 172*l - 10487*y**3 wrt y?\nAnswer: 12*l*y + 4*l - 62922*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 2, l: 1, j: 1, v: 2}. What is prob of sequence dj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.32 and 37102585201?\nAnswer: 37102585200.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:30 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4220361 is divided by 290?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 611 + -610.957. Does -0.8 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59566, 59571, 59586, 59617, 59670, 59751, 59866?\nAnswer: 60021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-65))\/(4\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 422140?\nAnswer: 1266420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*q + 69*q = 4*o + 14, 0 = -o - 5*q + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 954588 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 25. Suppose -l + 2*x + 19 = -f*x, -3*l + 2*x + 37 = 0. What is the common denominator of l and (-14 + 4\/4)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.16 + -1.6. What is t rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-240)*-6 + 56\/96?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001495313598 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 1. Let m(b) = -8 + 6*b**2 + 9*b - b**2 - b**2. Let c(d) = m(d) + 2*u(d). What is the units digit of c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -20. Let x(q) = 9*q + 3. List the prime factors of x(v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -2 - (-2)\/1. Suppose v - 5*v = 8, -y*v = p + 4. Let b = -1 - -2. What is the lowest common multiple of p and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q - 6. Let f(b) = -41*b - 29. Let h(x) = 83*x + 57. Let p(k) = -7*f(k) - 4*h(k). Calculate -25*a(s) + 6*p(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101112 - -20222022002?\nAnswer: 20222200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwhcwrercw. Give prob of picking 1 w and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3292234007 + -1.92\nAnswer: 3292234005.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.11 + 1.11. Let d = -50 - v. Let m be (-8)\/(-120) + (-6)\/(-10). Sort -0.4, m, d, 1\/3.\nAnswer: d, -0.4, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/32 and -79\/29372.\nAnswer: 234976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 119*u - 15. Let j(y) = 119*y - 12. Determine -5*j(b) + 4*r(b).\nAnswer: -119*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/((-301)\/(-42))*5\/15)\/(166\/1577).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g\/g**(-20))\/g*g)\/g*g))\/(g**(-16)\/g)*(g**(2\/7)*g)**(-26))**(-15) assuming g is positive.\nAnswer: g**(3825\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 51756*i - 4243965. What is w(82)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175.71 + -175.70925037. Round c to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9449*g**4*t - 46*g**3*t - 6262*g*t + 2*g + 144*t wrt g?\nAnswer: 113388*g**2*t - 276*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 41332?\nAnswer: 41342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, -20939, -2, 7.\nAnswer: -20939, -2, 1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 11) to base 10\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -2 + 0 + (sqrt(6)\/sqrt(3)*-3)**2.\nAnswer: sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41994 - -168104. Suppose -112*n + 122*n - l = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/8 - 25\/100.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.1 (c) 1\/12 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-759)\/(-138)*12\/11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 10*b**2 + 15*b - 4. Let h be t(8). Let v(w) = -27*w + 92. What are the prime factors of v(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y, -4*o + 0*o + 114 = -5*y. Solve 5*w + 31 = o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36161719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 16) to base 14.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 24*n + 4. What is the units digit of u(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6196369 centuries in years?\nAnswer: 61.96369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/4)\/a*a*a**(2\/11)*(a\/a**(2\/3))\/a*a*a**(-4) assuming a is positive.\nAnswer: a**(-361\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1733886*h. Let x(i) = -17167*i. Give 16*q(s) + 1617*x(s).\nAnswer: -16863*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j\/j**(-1\/11)*j)\/j*j))\/j)\/j)\/j**(-6)*j**(-1\/7)*j**(-3\/5)*j assuming j is positive.\nAnswer: j**(1219\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/26688 and 55\/11405784.\nAnswer: 91246272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1439\/2 + -2875\/4. Which is the third biggest value? (a) z (b) 6 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36897.6 + -36898. What is the nearest to 0.4 in 6\/7, u, 1, -63?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415375646?\nAnswer: 2, 7, 139, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13286767913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 - 4*v**2 - 2*v**2)*(-4*v**2 + 0*v**2 - 8*v**2)*(-8 + 1 + 5) to the form k*v + s*v**2 + p + b*v**3 + t*v**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14767*r - 5282 = -14628*r for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -47\nAnswer: -2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -50*f + 1079. Calculate the lowest common multiple of 8\/3*(19 - 1) and f.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5151 + 5150.880218. What is r rounded to 3 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-12))\/(-71 + 176220\/2480)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j - 77. Let m(k) = -k**3 + 5*k**2 - 9. Let t be m(3). Let g be z(t). Solve -13*a = -g*a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 697*w**8\/112 + 311*w**4\/24 + w**3\/2 + 1065*w**2. Find the second derivative of i(r) wrt r.\nAnswer: 41820*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2178)*2)\/(sqrt(600)*1*-1).\nAnswer: 22*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-8 - (-29)\/((-377)\/(-156)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4039776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184 or 3114\/17?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**3\/6 + 2*i. Let u be r(-3). Find the third derivative of u*z**2 + 52*z**3 - 59*z**3 - 4*z**2 wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*q - 618 = 0, 5*q = 7 + 8. Does 95 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)*-2 + -2944028. Let n = 974026 + d. Round n to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41\/254 + -2\/381. Which is the nearest to 0.1? (a) -5 (b) 1\/2 (c) o (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.06 (c) 65.54 (d) 1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*x = -12, 3*x - 9 = -s + 6. Calculate the smallest common multiple of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y + 75*y = -416. Let h be 6\/(214\/y + -2). Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54425521354 - 4?\nAnswer: 54425521350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - (-3 - 94)) + -26?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.495830392 rounded to two decimal places?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.929579 millennia to centuries.\nAnswer: 89.29579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 11\/6*s**3 + 20*s + 35\/2*s**2 + 0. What is the first derivative of i(k) wrt k?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 11*l**2 - 3*l + 99. Let i be b(10). Suppose i*x = 160*x + 153. Solve -3*u + x = 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229 - 106. What is the remainder when r is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/6 + 408587*j**3\/6 + 9273653535*j**2 + 1262366561946050*j\/3 - 54333219364311500\/3 = 0. Calculate j.\nAnswer: -136210, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(220))\/((-1*sqrt(132))\/sqrt(12)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + -2.6. Let z = 17 + -13. What is the biggest value in w, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*i**2 + 216848*i + 96384 = 0. What is i?\nAnswer: -4\/9, 6024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3825 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 3*v + 3*v + (0*v + 0*v + 6*v)*(-3 - 3 - 5) + v + 0*v + v + 4*v + 0*v + 0*v as h*v + r and give h.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17680 divided by -52.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**3 - 5*r**2 + 6*r - 6. Let b(t) = -25*t**3 + 11*t**2 - 13*t + 13. Give 6*b(n) + 13*k(n).\nAnswer: 6*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v - 4*v - 5*d + 373, d - 2*d - 357 = -11*v + 2*d for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-42)\/(210\/15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 6*j**2 + 5*j - 10. Let z be x(-7). Let p(k) = -2*k**2 + 5*k - 3. Let l(s) = -3*s**2 + 9*s - 5. What is z*l(n) - 7*p(n)?\nAnswer: 2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/126 and -17\/732.\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 4. Let o = -2 + 2. Let y be q(o). Suppose 2*k - 4*k - 98 = -2*c, 102 = 2*c - y*k. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7.32. Let p = 4.02 - h. Let l = 0.7 - p. Which is the nearest to 4? (a) l (b) 3\/4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329392000 rounded to the nearest one million?\nAnswer: 329000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -12*r - 24, 252 = 2*v + 4*r. Let o = 96 - 23. Calculate the remainder when v is divided by o.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -3*f**2\/2 + 16*f + 3. Let i be s(5). List the prime factors of i\/(3 - 2)*41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -311944, -311872, -311798, -311722, -311644, -311564, -311482?\n\"Answer: t**2 + 69*t - 312014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -362, 447, 1256?\n\"Answer: 809*p - 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 6*m**2 + 8*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = 30. Suppose 3*p - 4 = f. Find the second derivative of 4*z**2 - z**p - 4*z**2 - z wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - i + 2*i)*(-2*i - 4*i**2 + 0*i**2 + 2*i**2) - i**3 - 2*i**2 + 2*i**2 in the form k + m*i + z*i**3 + g*i**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/60 - 109*q**4\/6 + 263*q**3\/3 - 178*q**2. What is the derivative of h(a) wrt a?\nAnswer: 6*a**2 - 436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*q - 44. Let o be 6\/q + (-2)\/6. Suppose -2*s - 4*s + 2454 = o. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-10 + 4 + 2 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 3, r: 2, h: 1, f: 3}. What is prob of picking 1 f and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 131.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/510 + 1171*y**4\/102 - 1371241*y**3\/51 + 263*y**2 + 6*y + 1. Determine s so that k(s) = 0.\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4650\/53 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 16641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**4\/12 - 7*w**2. Let t(k) = -k**2 + k + 1. Let i(m) = 2*m**2 - 4*m - 4. Let a(l) = -i(l) - 4*t(l). What is v(a(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730310 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 556*(-117)\/(-108) + -6. Let i = n - 616. Find the common denominator of i and 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + g - 2*g + 0*g - g + 0*g + (-4 + 2 + 0)*(g + 0 + 0) - g + 3*g - g - 2*g + 3 - 3 + 5*g - 4*g - 3*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1182227*r + 1179992*r - 2362217*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.043 (c) 2\/25 (d) -2 (e) -4\/131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = 3*p, 4*p - 12*m = -13*m + 19. Let f(c) be the first derivative of -10 + 1\/15*c**4 + 2\/75*c**p + 0*c - 2\/45*c**3 - 2\/15*c**2. Factor f(t).\nAnswer: 2*t*(t - 1)*(t + 1)*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/9)\/(17\/((-51)\/(-4)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*m - 4*m. What is the units digit of 1\/(8\/36)*m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1426928*q**5 + 8*q + 101031?\nAnswer: 28538560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*d - 35, -4*d + 5232*g - 1575 = 5007*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137925 (base 10) to base 12.\nAnswer: -67999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 10*h + 180 + 8*h**2 - 8*h + 20 + 92*h**3.\nAnswer: 92*h**3 + 8*h**2 + 2*h + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - v - 347 = 0, 2*m - v + 0*v = 691. Let h = 2059\/6 - m. What is the fourth biggest value in h, 0.056, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163694607 to the nearest integer?\nAnswer: 34113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -30, 31\/5, 244?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 237*w + 1 - 232*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = 3*l. Let i(u) = -u + 1. Let c(k) = 4*k - 11. Let b(h) = -c(h) - 6*i(h). Let t(n) = -6*n - 14. Give l*t(z) + 17*b(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 + 9. Let u(z) = -12*z**2 + 17. Let p(i) = 5*m(i) - 3*u(i). What is the first derivative of p(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71416520 (base 8) in base 7?\nAnswer: -242120205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwnnbonwwwnwnonfwz. What is prob of sequence wbw?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -12*c + 40. Let q be -5*((-6)\/c + -1). Is (1082\/3)\/(q + (-12)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -62, -3, 4, 5, -190 in descending order.\nAnswer: 15, 5, 4, -3, -62, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d - -20ad42?\nAnswer: 20acd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/7)\/(2\/28). Suppose 7*z + 8 = 3*z, 3*h + w*z - 16 = 0. Suppose -45 - h = -3*g + 2*l, -g + 14 = 3*l. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 242374974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -13750046295?\nAnswer: 13750046292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 14*b - 175 + 14*b - 13*b + 13*b + 0*b.\nAnswer: 2*b**3 - 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 2*j + i - 234, -10*j - 3*i - 30 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-33 - (4 - 0)). Let m be 30*(-7)\/(h\/4). Factor -11*f**3 - 158*f**2 + m*f + 12 - 3*f**4 + 5*f**3 + 167*f**2.\nAnswer: -3*(f - 2)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-35\/6)\/o*o**(-2\/77)\/o assuming o is positive.\nAnswer: o**(-3169\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 10*z**2 - 7*z + 33. Is p(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = -0*v. Let t(j) = 6*j + 8. Let s be t(8). Suppose -8 = 2*z - s. Calculate the highest common factor of z and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/14 - -2)*2. Let j = -3 - -3.5. Let g = 0.5 - j. Sort f, -4, g.\nAnswer: -4, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5734 - 1870. Is 42 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 i when four letters picked without replacement from ioooooio?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = 290 - 350 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njhhxnnnjjnnhnxn. Give prob of picking 1 n, 1 j, and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2455 or 17182\/7?\nAnswer: 2455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6923693 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 29*g**2 + 21*g - 6. What is the tens digit of w(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-56)\/(-2)*30\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 30 = 6*x. What is the remainder when 34 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1 + 11\/(-154)*21.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4911454.\nAnswer: 2, 31, 37, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 54009944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(8) - (sqrt(8) + (sqrt(16)\/sqrt(2) - sqrt(8)))))\/sqrt(4) - (5 + sqrt(2) + 1 - (sqrt(2) + 1 + -5)**2).\nAnswer: -9*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138068112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -31\/4. Let n = -4 + 3. Is h less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37395672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 3*l**3 - 4 - 17*l**2 + 2 - 3*l + 3 to the form n*l + f*l**2 + z*l**3 + w and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 + 226.3. Let g = o + -10. Let y = -0.3 + 0.4. Put y, g, 3 in ascending order.\nAnswer: y, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25272 and 11907.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b49931 (base 13) to base 4\nAnswer: -100012032121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let y = v + 8. Solve 2*x**2 + y*x**3 - x**5 - 2*x**4 - 5*x**5 - x**5 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 406070*m - 8529675.\nAnswer: 5*(m - 21)*(m + 81235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 324 + -310. Solve l = -3*u - y, -2*u + 0*u - 5*y - 31 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.9 - 19. Let r = t + 3.1. Which is the third smallest value? (a) r (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3 (base 14) to base 10.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.63 + -0.09. Let y = 1.42 + w. Which is smaller: 18 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -200, -202, -204, -206, -208?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:06 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 - 1 = 0. Let o(x) = x**y - 5*x**3 + 4*x**3 - 6*x**2 + 0*x**3 - 7 - 2*x. Let l be o(-5). Solve l*s = 2*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*i**2 + 752*i**2 + 473*i**2 + 1000*i**2 + 1108*i**2.\nAnswer: 3573*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Let i(q) = -15*q. Let g(w) = -w. Let r = -5 - -4. Let j(z) = r*i(z) + 4*g(z). What is j(y(c))?\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzllfnlznoo. Give prob of picking 1 l, 1 o, and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(275) + -1 - sqrt(275))**2)*-4 - (5 + (2 + sqrt(275))*5).\nAnswer: -25*sqrt(11) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 515 - 80 = 0. Let s = z - -147. Suppose 0*x = 5*x - s. Solve 0 = -4*p - x, -4*p + 2*p + 2 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 + 77*y - 25. Give j(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h + 979. Suppose -g + 2*z + z = -12, -20 = 2*g + 5*z. Is n(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -1\/12*n**5 + 0*n**3 + 1\/168*n**8 + 0*n**7 - 3*n**2 + 0*n + 0*n**6 + 0 + 0*n**4. What is the third derivative of f(r) wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.1 - 15.3. Let y = u + 7.9. Let f = 0.9 - 0.81. What is the third biggest value in y, 5, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 22*s - 10. Let a(m) = -2*m**2 - 50*m - 20. What is 2*a(j) - 5*x(j)?\nAnswer: j**2 + 10*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 6. Let n be o(0). Is n < -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + ((-1564)\/(-680))\/(4\/(-30))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 3*s**2 - 16*s - 2. What is c(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -779, -1554, -2331, -3110, -3891, -4674, -5459?\n\"Answer: -j**2 - 772*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 62*z + 35. What is the tens digit of j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1015 plus 55747897?\nAnswer: 55747897.1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 178*r - 207437\/2.\nAnswer: (r - 667)*(r + 311)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3105 + 2.6895. What is the fourth biggest value in -16\/11, 0.1, h, -2\/3?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 13*v - 19. List the prime factors of w(-8).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a5121 + -3?\nAnswer: -2a5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 107.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 627874, 2511512, 5650910, 10046068, 15696986, 22603664, 30766102?\n\"Answer: 627880*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 5*r + 263. List the prime factors of d(-23).\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:04 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 b when four letters picked without replacement from wbwbwbww?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -688*z. Let d(h) be the third derivative of 5*h**4\/12 + 9*h**2 + 459*h. Calculate d(y(g)).\nAnswer: -6880*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d + 2*m, -14 = 4*d - 5*d + 4*m. Suppose 2*g - d*a - 14 = 0, 3*g - 7 = a + 8. Let i = 11 - g. Solve -f - 3 = -y, -f - i = 2*y - 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212 - -209 - (10 - (-1 - 0))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let d(b) = -497 + 101 + 53 - 160*b - 259 + 180*b. Calculate a(d(m)).\nAnswer: 20*m - 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 66226154?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58725446 divided by 29362723?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 3*n + 2. Let l be k(2). Suppose 3*c + s - 9 = 0, l*c + 2*s = 9 + 5. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3784 + -3775. Which is the nearest to -2\/5? (a) -2 (b) k (c) 0 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -5 + 9 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -4*j. Suppose j*c - 5*c + 68 = 0. Let o = c + 19. Is o a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016749 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93122283 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -391. Let s = w - -142. Let y = 75.0000197 + s. What is y rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -6. Suppose -c = 4*c - m. Which is bigger: c or -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 10, 2*r + 16 = -2*g - 2. Let x = -12 - -16. Which is the third biggest value? (a) r (b) 0.04 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/81 - (32\/36 - 1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 268 = -2*j - 100, 5*j = 2*n + 420. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 572 = -70*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175.032 + -175. Let f = 0.08 - 0.38. Let z = f + x. Round z to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -15. Suppose -2*a + v = 2. Let 3*j**3 + 2 + 5*j + 6*j**a + 2*j + 2*j**2 = 0. Calculate j.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from uuuururr?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 396*y**2. Let o(f) = -533*f**2. Give o(j(r)).\nAnswer: -83582928*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/67 + 743\/402. Is 2 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 153*r + 1 + 1 - 52*r.\nAnswer: 101*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 147473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 3 - 17*n - 2*n - n**3 + 14*n**2. Let i be y(19). Solve 0 = i*l - 3*v, l - 3 = 3*v - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176305000 rounded to the nearest one million?\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 - 1016727?\nAnswer: -1016750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*m = f + 891, -m = -f + 885. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*l - 5*p + 51, 0 = 5*p + 25. Let q(r) = 12*r**2 + 3*r + 12. Calculate the least common multiple of l and q(-4).\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 + 4*p - 4. Let x be -1 + (-8 - -8 - 4*1). Let i(c) = 8*c**2 + 5*c - 5. Give x*q(a) + 4*i(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 309 - 354 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*z - 41*z + 21*z as f*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - 1)*(2\/(-4) + 0). Let x = 8 - p. Solve -4*t - x = -4*r, -2*t - 3*t = 3*r - 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 2, f: 4}. What is prob of sequence fk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2125*c + 1293*c - 598*c**3 + 597*c**3 - 4040*c.\nAnswer: -c**3 - 4872*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:35 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 + 6*a - 5. Let q be s(5). Let z = 6 + -2. Let r = z - q. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144350729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11817 and 32717637?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 6*c**2 - 4*c**3)*(-2 - 2*c + 2)*(-2*c - 2*c - 2*c).\nAnswer: -48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357.1 - 357. What is the closest to r in 1\/2, 5, 1, 127?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**3 - 1590*r**2 - 9405*r - 14040 = 0.\nAnswer: -312, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-153)\/(-102) - 3\/(540\/1974))\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305982 (base 14) to base 12.\nAnswer: -6668ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284222 + 284221.260631. Let h = 59.730269 + z. Let t = -59 + h. Round t to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1534585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25475, -51296, -77467, -103988, -130859?\n\"Answer: -175*c**2 - 25296*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -710.3 and 0.2.\nAnswer: -142.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**2 - 9*g + 8. Let t be z(1). Suppose -t*o = 10 - 127. Solve -5*d - o = -4*h, d = -2*h - 3 + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -44, 0 in ascending order.\nAnswer: -100, -44, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577307 is divided by 1110?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 239 - 369 = 0. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*i - 2*i - 4*i)*(3*i + 0 + 0)*(4*i + 3*i - 5*i).\nAnswer: -450*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -4. Let u = t - 2. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 468*r + 9201. What is the thousands digit of f(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8. Suppose 2*z + 8 - 6 = 0, -54 = -4*m + 2*z. Suppose s + 4*q = 38, 0*s + s = q + m. What is the lowest common multiple of s and d(0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40*5\/70)\/(-4*3\/42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 4*v**2 + 2*v + 5. Let p = -51 + 71. Suppose x + 4*x = p. Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 v when three letters picked without replacement from {v: 12, m: 2, c: 3, f: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*0\/(-76).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 = p. Suppose z = -p*z. Solve z = 2*v - 0*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyo when three letters picked without replacement from {o: 4, y: 2, p: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.338 take away -0.2996?\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 848\nAnswer: 1\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 12*z**2 - 10*z + 11. What is j(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -5*h. Let o = -9 + 12. Suppose -o*s - 4 = -2*b, -4*b = -0*s + 4*s + 12. What is the closest to h in 1, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192006609 less than or equal to 192006609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*h - 58*i + 57*i, 2*i - 2 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 57. Let k = 107 - s. Let r = k + -78.8. What is r rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and 884?\nAnswer: 45968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3406*i + 4184*i + 3886*i + 1246854 = -1247*i for i.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49194*v**3 + 71*v**2 - 6691097*v?\nAnswer: -295164*v + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -3169.\nAnswer: -9507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-420)\/(-36)*12\/10. Solve -8*d = -d + p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4920476472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 60 = 16*z. Let a = 11 + -1. What is the lowest common multiple of a and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000080192362 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five halves of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*s + 36, 4*s - 6*s - 16 = -2*t. Solve 9 = t*p + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(5*(3*sqrt(136) - sqrt(136)))\/(3*sqrt(288)).\nAnswer: -5*sqrt(17)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 14 - 3 = -2*g, 21 = -3*u + 3*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Suppose 48 = 4*j + 3*f - 5*f, f + 44 = d*j. Suppose -j = -3*m + 5. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 9485464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:42 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 96*q - 2*q**4 + 2*q**3 - q**2 - 102*q - 2 to the form p*q**2 + a + c*q**4 + j*q + w*q**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 23. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1257319*b**2*g + 11698*b**2 - b*g**4 + 2*b + 1 wrt g.\nAnswer: 1257319*b**2 - 4*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 bigger than 5623\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2\/9, 17.6539, 3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*r - 6650, -h + 5*r + 1667 + 1613 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**3 - 1\/4*c**4 - 115 - 8*c + c**2. What is m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:04 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-5)))\/s*s\/(s\/(s**(1\/3)*s*s)))**19*(s**1*s)**(2\/21)\/(s**0)**(-1\/60) assuming s is positive.\nAnswer: s**(-1459\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 13*y - 14. Let a be m(11). Suppose -d + 37 = 2*k + a, 2*k + 6 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k + 36. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2691000 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 140340 (base 7) to base 6\nAnswer: 323030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2\/201, 8.17 in ascending order.\nAnswer: -17, -2\/201, 8.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*2)\/sqrt(12) - sqrt(22))\/(sqrt(32)*-2) + 0.\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229029 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*a + 378 + 701, 4*v - 892 = -4*a. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-16)\/(-60)*-5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -184, -325, -606, -1075, -1780, -2769?\nAnswer: -4090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**4 + s**3 + s + 1. Let v(n) = -27*n**4 + 2*n**3 + 5*n + 2. Let o(w) = 2*h(w) - v(w). Find the second derivative of o(i) wrt i.\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eggjfgjeeel. Give prob of picking 1 e and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76 - -70?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -111, 48 in ascending order.\nAnswer: -111, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 19 = 79. Let b be 108\/a - (-2)\/5. Solve 12 = -b*s + s - 4*h, 3*h + 9 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-10)\/(-4))\/(2\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -2\/13 (c) 5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:37 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41\/48 - 3\/16. Let z be (-1092)\/2457 + ((-8)\/(-12) - (-2)\/18). What is the smallest value in z, d, 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2001*a**4 - 6*a**3 + 39610*a wrt a.\nAnswer: 24012*a**2 - 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -5737, -21 in decreasing order.\nAnswer: -21, -72, -5737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-3*p + 4*p + p)*(-5*p**2 + p - p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*p + 1. Let n be (-3 + p)*1*-23. Let x = n + -14. Calculate the remainder when 16 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/100)\/((-108)\/(-420))*(-6)\/(-28)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1046, 0.4, -58113?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (33 - ((0 - (-6 + -4)) + -4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**4\/12 - 3*o**3\/2 - 7*o**2 - 40*o + 2. What is w(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17676 divided by 982\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0*y**3 + 0 + 12*y**2 + 0*y**5 + 12*y + 0*y**4 - 3\/10*y**6. What is the first derivative of m(i) wrt i?\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*o*r**2*y**3 + 3778705*o*y**2 + 143826*r**2*y - 2*r*y**3 + 2*r*y**2 wrt r.\nAnswer: 284*o*y**3 + 287652*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*c - 164 + 164. Determine a, given that 0*a + c + 2\/15*a**3 + 0*a**2 - 4\/15*a**4 - 2\/5*a**5 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 + (-72 - 119 + 269)*(3 - 5 + 1))*(11*o - 4*o + 3*o).\nAnswer: -790*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 167 + 3?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -342 greater than -315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmmms. What is prob of sequence ms?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ood when three letters picked without replacement from doooodoododdoodoodo?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 736319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16240850?\nAnswer: 2, 5, 47, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2 (c) 1\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*x + 142 = 165*x + 32 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 - 84*r + 12. Let q be h(-12). Suppose q*t - 11*t = 697. What are the prime factors of t?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74654.37km to nanometers.\nAnswer: 74654370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1101110111111110 (base 2) to base 13\nAnswer: -1cb37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 258055599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 - -154. Which is smaller: w or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84) + sqrt(84)*-2) + 1*(sqrt(84)*-2 + sqrt(84) + sqrt(84)))\/(sqrt(192) + -4*(sqrt(192) + sqrt(192) + (sqrt(192)*-2 - sqrt(192))) - sqrt(192)).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*-5*(2*sqrt(104) - sqrt(104)))\/(sqrt(648) + 5*(sqrt(648)*2 - sqrt(648)) + 1*sqrt(648)*-5).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o. Let c be (1 - 1) + 0 - 0. Let g(k) be the third derivative of 0 + 0*k**3 + 0*k**4 - 1\/30*k**5 + c*k + k**2. Calculate l(g(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -4 (c) 1 (d) -21 (e) 2\/3 (f) 4.1 (g) -1939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) -1 (c) 0.06 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + (-16)\/(-6). Solve -g*w = -3 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18452 and 13180.\nAnswer: 92260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3102769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6 - 4.9. Let r = -0.3 - s. Which is the biggest value? (a) -0.3 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 25*a - a**2 + 29*a + 35*a - 107.\nAnswer: -a**2 + 89*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -3, -0.2, -0.6 in ascending order.\nAnswer: -5, -3, -0.6, -0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-13) + (5 - 1). Suppose 4*v - q*v = 2*v. Solve -2*x + 2*a + 2 + 0 = v, -2*a - 4 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g. Let m(a) be the second derivative of -13*a**7\/2520 - a**5\/120 - 7*a**4\/6 + 4*a - 2. Let u(f) be the third derivative of m(f). Give u(c(s)).\nAnswer: -117*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Find the third derivative of -t**2 + t**y - t**4 - t**4 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -3*z - 17*t + 64, 52 = 3*z - t. Calculate the remainder when 9676 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/13 + 29060*w**2\/13 + 8944*w = 0. What is w?\nAnswer: -4, 0, 14534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3138 (base 11) to base 13\nAnswer: 1b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 33 = -3*c, -c - 10 = -5*s + 41. Let l be 2\/(-5)*s\/(-18). Put 1, l, -1\/3 in decreasing order.\nAnswer: 1, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/11, 3\/4, -2\/9, -3, 0.2, 3, -301\/4227?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 11 - 2*u**2 + 5*u**2.\nAnswer: 2*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*h - 6 = -j, 0 = 3*h + 6. Let z be 1 - -1 - 0\/1. Let o be ((-17)\/408)\/(1\/(-3)). Which is the closest to j? (a) z (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/5 - 23*f**4\/3 - 80*f**3 + 288*f**2 + 140*f. Factor x(w).\nAnswer: -4*(w - 1)*(w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from sscccccssscccscccsc?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p\/p**(-30))\/(p\/(p**(-5)\/p))**(-5\/7) assuming p is positive.\nAnswer: p**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29450)\/(-2325) + (-16)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 + -6*(-4)\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-10))\/(11\/(-880)*-16). Suppose z*c = 3*l + 797 - 9, 0 = 3*c + 3*l - 591. What is the remainder when c is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 308\/70 + 2\/(-5). Let m be 6\/(-2) + 2 - 1. Let o be (-1 - (-2 - m)) + -3. Sort i, -5, o in ascending order.\nAnswer: -5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + 3*p + 2*p)*(-5*p**4 + 2*p**4 + 2*p**4) - p**5 + p**5 - 2*p**5)*(21 - 18 - 26).\nAnswer: 92*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1551*a**2 - 772*a**2 - 5 - 793*a**2 to g*a**2 + d + f*a and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 5) to base 4\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103914?\nAnswer: 2, 3, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z = 0. What is the remainder when 19 is divided by 2*(z - (-7)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2019582*k - 13784141 wrt k?\nAnswer: 2019582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 13) to base 2\nAnswer: 101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196592 = -4*s + 213*l - 210*l, -2*l + 196552 = 4*s. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-8))\/(1\/6). Suppose -g + 17 = -y. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 3*k**2 - k**2)*(2*k - 4*k + 4*k) + 163*k**2 + 119*k**2 + 2*k**3 - 60*k**2.\nAnswer: 6*k**3 + 222*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 3*q. Suppose -c = -2*x - q, 3*c - 3*x - 42 = x. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*g**2 - 50 + 50 in the form v + o*g + q*g**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 22. Let s = 28 - z. Let k be 3 + -7 + 1 + 3. Solve k = 4*v - s*b + 3*b + 15, -b + 11 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 19*t**2 - 3*t + 3. Let c = 193 - 195. What is the remainder when v(c) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4, -14*t - 42 = -15*t + 4*u. Calculate the smallest common multiple of 9 and t.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361 or -266?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -0.1 (b) -2\/95 (c) 3.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(208) - (-3*sqrt(208)*-1 + sqrt(208)))**2 - (5 + (sqrt(468) - -2*(1 + sqrt(468))))**2.\nAnswer: -2388 - 276*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/7, -0.1, 3, 1.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 108312 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8028224 to the power of 1\/2, to the nearest integer?\nAnswer: 2833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 7374, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -123*x**2 - 1272*x + 1346. Calculate y(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13820.334*0.4\nAnswer: -5528.1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 6*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and 2772610.\nAnswer: 2772609.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 319885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74856, -74899, -74942?\n\"Answer: -43*d - 74813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 - 67 - 2*k - 5*k**3 + 66 + 0*k**3 in the form l*k + j + s*k**2 + o*k**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34033 - -10?\nAnswer: 34043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -11)*(-2 + 21\/9). Let f(z) = 26*z - 6. Let s(v) = 1 - 3*v + 0 - 2*v. Calculate a*f(p) - 16*s(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4784970 is divided by 808?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011 - 11?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -305856606404 and 0.122.\nAnswer: -305856606403.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255.199745 - 255.2. What is x rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49623*d**3*l**2*t - 2*d**3*l**2 - 195*d**3*l*t + l**2 + 13531*l*t wrt l?\nAnswer: -99246*d**3*t - 4*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + u - 1. Let v = -7 + 8. Let p be t(v). Find the third derivative of -5*a**2 - a**6 + 2*a**2 + a**2 + a**p wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66667 minus 1.618?\nAnswer: -66668.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/6 + 8*t**3\/9 - t**2 + 35. Factor u(z).\nAnswer: -2*z*(z - 3)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6666015338?\nAnswer: 2, 3333007669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -5\/3*h**3 + 5*h**2 - 7*h + 1\/12*h**4 + 0. Does 3 divide n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1019)\/(-29 + -39 + 77) + 2\/9?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 7}. Give prob of sequence www.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -31*z**3 + 0*z**2 + 4*z + 1 + z**2 - 2*z. Suppose 2 = -2*g, -2*y + 84 - 61 = -g. What is the remainder when q(-1) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = n - 50, 4*g = -14 + 10. What is the greatest common divisor of 1284 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001*k + 996*k - 1990*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-2))\/(-25)*3\/18*12\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -74, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22726507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 371 - 4760*l - 121 - 125.\nAnswer: -4760*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61.65 - -62.55. Let t = -31.885 - -32.6. Let d = b - t. What is d rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/5 - 5*y**4\/3 - 26*y**3\/3 - 14*y**2 - 16*y. Solve b(z) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose 4*h + 46 = 2*h - l*p, -3*h + p - 76 = 0. Let i = h - -48. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 21. Suppose 4*s = -4*c + 92, -2*c - 30 - 8 = -2*s. Let t(z) = -1 - 3 - z + 8. Calculate s*t(g) - 4*d(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-278 + t - 417 - 495)*(0*t + 2*t - t) in the form h*t + z*t**2 + q and give h.\nAnswer: -1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/2 - -25\/7. What is the third biggest value in -5\/3, 1\/2, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*444\/(-8448) - (-6)\/(-22)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*q + 2, -s + 2*s - 3*q = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1449 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9623 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 29. Let v = 0.9 - 1.2. Sort p, 5, v in increasing order.\nAnswer: v, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1242*y**3 - 44696*y**2.\nAnswer: -2*y**2*(621*y + 22348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9))**(1\/29))**(-40) assuming t is positive.\nAnswer: t**(-80\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -49970.71757 to zero decimal places.\nAnswer: -49971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -9, 27\/10, 19, 0.2, 0, -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -998\/7 + 142. Let u = -525 + 525.362. Let i = u + -0.562. Which is the smallest value? (a) i (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.8515272 minutes?\nAnswer: 0.004758005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50334243 divided by -1149.\nAnswer: 43807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m**3 - 96727*m**2 + 96727*m**2 - 2*m**3.\nAnswer: 27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8143 is divided by 2693?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73325 and 104331.\nAnswer: 18257925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 10*l**2 + 3*l - 9. Suppose -j + 7 = -3. Let m be f(j). Suppose 43 = 2*o - m. Solve 0 = 4*q + 2*w + 19 + 1, -4*q - 5*w - o = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 456 = p. Let z = -163 - -2. Let h = p - z. Does 34 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*v - 272*v = 4*g + 8, 4*g - v + 17 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 356 - 1107. Let w = i - -12771\/17. Factor -2\/17*z - w + 2\/17*z**2.\nAnswer: 2*(z - 2)*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from xmccix?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -24.87 (c) -0.2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.211 + 6.217. Let z = -0.006 + l. Which is the second smallest value? (a) 3 (b) 0.01 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away -26992149555?\nAnswer: 26992149554.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6*j = -j + 13, -13 = -5*l + j. Suppose 0*x - l*t - 10 = -4*x, -t - 8 = -3*x. Let -1\/6*b**x + 0*b + 1\/6*b**4 - 1\/3*b**2 + 0 = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 6*r**2 + 2*r + 21. Let c(f) = f + 7. Let i be c(-2). Let k be j(i). Solve -k*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2 + -2)*-60. Let d = a - 14. Which is smaller: d or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4*x - 12*v**3*x - 2*v**2*x + 112*v*x wrt v.\nAnswer: 12*v**2*x - 72*v*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2387682 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 8224032.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -224*z - 11*z - 9*z + (0*z - z + 3*z)*(6 - 3 + 1).\nAnswer: -236*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 4*z**2 - 3*z**2 + 3*z**2 + 4*z**2 - 3*z**2 + (4*z**2 + 0*z**2 - 3*z**2)*(4 + 0 - 2))*(-z + 3*z + 0*z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1841, 5, 12, 9 in descending order.\nAnswer: 1841, 12, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 3*z + 92. Let l be u(-11). Let o(h) = 2*h**2 - 7*h + 9. What is o(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(5060\/132 - 36)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 393 - 353 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9548 = -246*i - 3487 + 489 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809 + 9250*p**2 - 18516*p**2 + 9270*p**2 + 809.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 92. Let o = 40 + -29. Calculate the greatest common factor of s and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/(10\/(-11)))\/(4\/712)?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 174868322 to the power of 1\/2, to the nearest integer?\nAnswer: 13224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -14\/11, -2, 2\/9, -2\/3, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 + 3)*(8 + 0 + 5)*(2 - 1 + 0) - 2 + 3 - 3 - 1 + 3 + 4 + (1 + 4 - 4)*(-2 + 3 - 2))*(-2*g**4 + 4 + g**5 + 2*g**4).\nAnswer: 29*g**5 + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u. Suppose -5*c = -2*h + 5, -5*c + 4*h + 9 - 24 = 0. Let l(a) = 4*a**3 + 3*a + 1. Determine c*l(z) + 3*m(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 - 0.13. Which is greater: 0.01 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9652 and 2286.\nAnswer: 86868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (0 + -23 - -1). Suppose 0 = -2*l + l + 2, 5*p + l - 242 = 0. Let g be (3\/(-2))\/((-6)\/p). What is the highest common divisor of h and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197013773 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1117209 and 37\/72664.\nAnswer: 8937672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*q**2*t**2 - 7*q**2*t - 289*q**2 - 4*q*t**2 - 2053*q*t + 67*q - 3*t**2 wrt q?\nAnswer: 38*t**2 - 14*t - 578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = -5*k, -3*k = -3*o + 22 - 37 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*s**3 - 3\/5*s + 0 - 6\/5*s**2 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + -1100001?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*u - 11, 0 = -3*z - 4*u + 3. Suppose 0 = -7*y + 235 + 199. Suppose -z*l - 7 + y = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11314383 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29991982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and 3.083525.\nAnswer: -107.923375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 16) + 77 + -7?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011010100 + -1001110010010?\nAnswer: 100101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -11\/9*i**3 + 0 - 20*i**2 + 0*i + 1\/90*i**5 - 5\/18*i**4. Suppose t(x) = 0. Calculate x.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330749999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -49\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75436211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {l: 7, j: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 15 + -9 + -13 - 15.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (30 + 3 - (245 - 275)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 3*o + 214254 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 - 96*o - 90. Determine q(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 92?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 250*s + 7. Let g(a) = 1003*a + 33. Give 2*g(w) - 9*u(w).\nAnswer: -244*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2093 - -2092.5. Which is the third smallest value? (a) f (b) -0.07 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3636244*o**2 - 32*o - 36413 wrt o.\nAnswer: 7272488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - (-11 - 27\/9). Solve -t*x = -10*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 7?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0158 less than 0?\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118888 is divided by 29530.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 915 - 897. Suppose -5*u = -2*o - 8, 0 = -2*u + 4*o - o + 12. Let a = u + m. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175955710361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -567*k**5\/5 - k**3\/3 + 155*k + 1163. Differentiate p(d) wrt d.\nAnswer: -2268*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -7*j**6\/1440 - 3*j**5\/160 - j**4\/48 - j**3\/3 + 4. Let k(v) be the third derivative of p(v). What is q in k(q) = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**2. Let j(s) be the third derivative of -s**6\/180 - 7*s**3\/3 + 9*s**2. Let l(r) be the first derivative of j(r). Calculate l(f(w)).\nAnswer: -128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179631244103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5608 - 5612. Which is the closest to -76? (a) 0 (b) 2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32758 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 15 = -3*n - 4*d, -5*n + d + 5 = 0. Let b be n + (1 - -1) + (2 - 2). Solve 0*h + 8 = -b*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*a + 295. Suppose a - 937 = -2*n. Is (-2)\/9 + n\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {z: 2, m: 7, w: 5, b: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -9. Let q = a + -6.4. Let u = -0.3 - 0.2. What is the closest to 1\/4 in q, u, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 11*w**5\/120 + 26*w**3\/3 + 4*w**2 + 5. Let y(z) be the first derivative of i(z). Let q(j) = -8*j. Give q(y(h)).\nAnswer: -88*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32 * 0.07\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*-3*(sqrt(2448) + 1 + sqrt(2448))*-5*-4.\nAnswer: -5760*sqrt(17) - 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*s - 16, 0 = -5*f - 5*s - 2 + 22. Solve -8 + 24 = -f*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 334 times 244925.7\nAnswer: 81805183.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((3 + sqrt(1900))*-3 - sqrt(1900)) + sqrt(1900) + 1*sqrt(1900)*4 + -2 + 2)**2 + 3.\nAnswer: -180*sqrt(19) + 1981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.788 - 1.188. Let q = -0.05 - 1.95. Which is the closest to 0.2? (a) 1 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130623 + 570?\nAnswer: 131413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1 - (3 - 3). Suppose s*m + d - 11 = 0, m - d - 1 = -0*d. Factor 2*b**m + 1\/2*b + 0 - 5\/2*b**2.\nAnswer: b*(b - 1)*(4*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 = -k + 573. Suppose 0 = -5*s - 32 + 17, 296 = r - k*s. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1795 and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7236 - 140.61.\nAnswer: 7095.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - u + 0*u)*(167 + 337 - 27) as q*u + z and give q.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -51966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(80)\/(sqrt(4)*-2) - (sqrt(20) + sqrt(320)*2)))\/((sqrt(40)\/(sqrt(10) + -1*sqrt(10) + sqrt(10)) - -3*sqrt(64))*4).\nAnswer: -95*sqrt(5)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2467165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49, -20, -151, -356, -647?\n\"Answer: -2*q**3 - 19*q**2 + 2*q + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 426 + -35. Let q = j + -204. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/(((-448)\/24 - -18)*6\/19)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6641, 13275, 19885, 26459, 32985, 39451?\n\"Answer: -2*s**3 + 6648*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14 + 20 - 1*-1*-1. Suppose -2*x - d*y + 39 = x, 2*y + 42 = 2*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (104481\/(-13395))\/((-3)\/(-20))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5108 - -5115. Let h(p) = 17*p**3 + 3*p**2 - 13. Let g(r) = -11*r**3 - 2*r**2 + 9. What is v*g(o) + 5*h(o)?\nAnswer: 8*o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbcjbjbjbbj. Give prob of sequence bbbb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (22 - (13 - 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, d: 7}. Give prob of picking 2 y and 1 d.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 7)\/((-6)\/4). Let q(w) = -4007*w + 8. Let c(u) = 2003*u - 4. Let i(o) = 5*c(o) + 2*q(o). Let v be i(h). Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-3)*504\/20. Suppose -14*l + c = -18*l. Are -21 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2127 + 2125. What is the smallest value in 0.5, 39, -2\/7, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*o + 58, 0 = i - 2*o + o - 38. Suppose -i*q = -91 - 81. Solve 0 = -5*y - 4*u - 7, 0 = -q*y - 0*u - 4*u - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 2035*p**2 - 8000*p - 24180.\nAnswer: -5*(p - 403)*(p - 6)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, -3\/473?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let h(s) be the second derivative of -151*s**4\/12 - 2*s + 3. Determine h(b(k)).\nAnswer: -604*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 123*(1\/9 - (-8)\/36). List the prime factors of 16\/((-1)\/d*-83 - 2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 1. Let t = -767\/2661 + -40\/887. Put t, 6, f in decreasing order.\nAnswer: 6, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*x**2 + 8*x**2 - 5*x - 10*x**2 - 1 - 2 + 0*x**2 to the form v*x + w + t*x**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 11*i + 25. Let m = -1400 + 777. Let x = m - -631. Give a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1331*p**4*y**2 + 5*p**3*y**3 + 89*p**2*y**2 - 52*p*y**3 wrt p?\nAnswer: 31944*p*y**2 + 30*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, p: 1, o: 3, i: 3}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*(3424\/(-1344))\/(-107)\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 78, 4, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -30. What is the remainder when 40 is divided by (92\/6)\/(20\/x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -0.0557148706?\nAnswer: 0.3557148706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 4*q**3 + 11*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 202405890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 1.4, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 105 = 0. Let h be (-1)\/(-1) + (-19)\/q. Which is the biggest value? (a) 2\/3 (b) h (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from {r: 2, u: 2, p: 5, s: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 328*n. Let q(l) = -444*l - 482*l + 910*l. Determine q(x(p)).\nAnswer: -5248*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1330 and 6745.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-3)*r)*(r*r*r\/(r**(-2)*r))\/r*r*r**(1\/8)*r**(-1\/2) assuming r is positive.\nAnswer: r**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3127.241 + 3133. Let c = g + -5.7. Let t = 0.0590003 - c. Round t to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Suppose -q*l = -3*l - 42. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/((-1)\/(-1)). Solve -3*h + 3*o + 6 = -z*o, 5*h - 10 = 2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644488 is divided by 29258?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 1\/2, 28773 in increasing order.\nAnswer: 1\/2, 1.1, 28773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 5 (c) -1\/2 (d) -0.581\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452974167 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.7 - 9.9. What is o rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 22. What is the second smallest value in q, 15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33101012 (base 4) in base 2?\nAnswer: 1111010001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3)\/(-2) - (-1 + 3)). Suppose j*y = -266 - 22. List the prime factors of 3*(42\/(-8))\/(y\/2176).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g = -28445 + 29285 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 344344, 344346, 344348?\n\"Answer: 2*g + 344342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/75)\/(4\/140))\/(5\/(-45))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 10011121202212?\nAnswer: 10011121202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -24. Suppose 6*d + i*t - 61 = d, 5*d = -5*t + 60. Suppose -5*f = -d - 2. Solve -v - 15 = 3*p, -f*p - 6 = -2*v - 0*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -619701 - -889701. Round u to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507564460 to the power of 1\/3, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -281*l + 563. Let j be m(2). Which is bigger: j or -5\/1021?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 55170368?\nAnswer: 496533312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82051149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16039 and 2021.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let w(p) = 12*p + 82. Give g(w(v)).\nAnswer: -12*v - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 567571122 by -3.\nAnswer: -189190374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -6143.\nAnswer: 30715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b. Suppose 4*i = d + 40 - 15, -4*i + 22 = 2*d. Let g = i - 5. Let q(o) = -o**3 - o**2 + o + 1. What is g*z(c) - q(c)?\nAnswer: c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -513.4 and 338167?\nAnswer: 338680.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 3 + 7*c + 4 - 3. Suppose 15 + 8 = 4*h - 3*u, -3*h + 2*u + 17 = 0. What are the prime factors of x(h)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1342377805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9243.4 to the nearest 100.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32924 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.4 - -51.7. Let p = -52 + 45.7. Let z = a + p. What is the smallest value in 2.7, 2\/11, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*422\/96 + 4. Let b = 3369\/176 - y. What is the common denominator of b and 79\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2419, 4837, 7257, 9679?\n\"Answer: j**2 + 2415*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 35 = 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.286 - -0.786. What is the closest to -96 in -4\/3, 1\/5, u, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 u when four letters picked without replacement from mmxumumxmuumx.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/v**(2\/87))\/(v*v**(3\/19)*v)*v**(-30)\/(v\/(v*(v\/v**(15\/7)*v)\/v)))**44 assuming v is positive.\nAnswer: v**(-15438544\/11571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -0.08, -2 in descending order.\nAnswer: 19, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9 - 3.9. Is w greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of -9978*(-5)\/150 - 2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5934 + -5841. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298476 and 3482220?\nAnswer: 10446660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1339, 5419, 12219, 21739, 33979, 48939?\nAnswer: 66619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-18) + -7*20\/(-105). Solve 4*j - 16 = -4*d, 3*d - j + 3 + 5 = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - -266. Let d = -272 + l. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 12:33 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*w - 0*c + 37, 0 = 4*w + 5*c + 85. Suppose 5*n + 15 = -5*y - 60, -y = -4*n. Let f = y - w. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 271276 (base 8) in base 11?\nAnswer: 65342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 405178 - (460 + 2)\/22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.11, -0.3, -1, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -362 - -359. Let g(p) = -11*p + 1. Give g(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 9 + 14 + 14 + 16*r - 49 + 11. Let p = -17 - -29. List the prime factors of o(p).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**8\/2240 + d**7\/1260 + d**4\/3 + 2*d. Let l(k) be the third derivative of w(k). Find the third derivative of l(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3\/2, -3, 0.26, 1, 2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qquuuqququuqu. What is prob of picking 3 u and 1 q?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -119*s**3 - 3*s**2 - 14. Let w(c) = -239*c**3 - 7*c**2 - 28. Let t(z) = 2*w(z) - 5*x(z). Find the third derivative of t(i) wrt i.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53809772353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5495*i + 5373*i + 976 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(-5*12\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efmm. What is prob of picking 2 m and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulualulullla. What is prob of picking 1 a and 1 l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321051 is divided by 53508.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/((-728)\/31850) - -7\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 3, y: 1, f: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvfvfvfvvff. Give prob of picking 3 f.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -418*z - 7329. Determine p(-17).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -119 + 119 - 14*m. Let j(c) = 5*c**2 + 3*c + 3. Let f(o) = 8*o**2 + 5*o + 5. Let r(l) = 3*f(l) - 5*j(l). What is r(i(g))?\nAnswer: -196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 5*a**2 - 20*a + 25. Determine l(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a754 (base 11) in base 15?\nAnswer: -3b408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j**2 - 8*j - 3. Let z(c) = 6*c**2 + 3*c + 1. Give -4*m(s) - 11*z(s).\nAnswer: 6*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.596178 + 0.029878. What is k rounded to one decimal place?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 2*h + 73. Is h a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 3. Let w be m(-6). Suppose w*h = -b + 46, 4*b + 0*b - h - 184 = 0. Let d = 101 - b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10739985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -3 - -2) + -30. Let f = 47 + l. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 423729484 to the nearest integer?\nAnswer: 20585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.07 (b) -93 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 27850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*l**3 - 69*l**2 + 2*l - 1150346.\nAnswer: -132*l - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = c. Suppose 0 = 5*x - 10, -4*k + 5*k + x - 2 = 0. Suppose -5*o + k*o + 80 = 0. Calculate the greatest common divisor of o and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89223 - 9.\nAnswer: -89232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00903 and 0.015?\nAnswer: 0.00013545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3533493 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and 0.099782.\nAnswer: 0.209782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**5\/10 + 5*v**4\/8 + 7*v**3\/6 - 5*v**2\/4 - 3*v - 47. Solve a(t) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-22))\/1 - -10\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + 223580\/(-138). Let t = z + 634643\/345. Let s = 220 - t. Is 0 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*q + 45. Suppose h = -2*v - 10, -3*h - 4*v = -0*v + q. Calculate the remainder when 4 is divided by (0 - -3) + h + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4, -0.1308, 3, 0, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2. Let n(f) = 214*f**2. Give o(n(d)).\nAnswer: 91592*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/85 - -3\/17. Let d = -3093\/11 + 281. Which is the second smallest value? (a) 3 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1014 and -81\/1352.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/15, 6, 85, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13921182, -16, 0.5 in increasing order.\nAnswer: -16, 0.5, 13921182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 500*c**3*w + 52*c**3 + 83*c**2*w - 13*c**2 + 2*c*w wrt c?\nAnswer: 3000*w + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:49 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-11))\/p*(p*p**(-9))\/p)**21 assuming p is positive.\nAnswer: p**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.5. Let l = 1847 - 1847.803. Let j = -1.203 - l. Which is the fourth biggest value? (a) 3\/2 (b) j (c) -0.03 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42620, -42611, -42598, -42581, -42560?\n\"Answer: 2*b**2 + 3*b - 42625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507816416 to the power of 1\/2, to the nearest integer?\nAnswer: 22535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 302*m + 205. Suppose 34*q + 0*q - 714 = 0. Is p(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*t = 88, 4*a + 2*t = 5 + 113. Let q(k) = 237*k**2 + 8*k - 5. What is the remainder when q(1) is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 9516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 75. Let k be v(0). Suppose 5*y = -4*m + k, 3*y - 13 = 5*m - m. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 67.6345 milliseconds?\nAnswer: 0.0676345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = g + 3*q, 37 = -15*g + 17*g + 5*q for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5689500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8503 divide 378419614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/21)\/4*-14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101001111011 (base 2) to base 5.\nAnswer: 2113301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034735053 rounded to five dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + h. Let g(a) = 36*a. Determine g(p(o)).\nAnswer: 72*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 3:20 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 - 4*o - 485. What is p(0)?\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 77. Let x = 71 - p. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 18*a - 8*a + 72. Sort -5, a, 38, 1 in decreasing order.\nAnswer: 38, 1, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22046526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 24*r - 4. What are the prime factors of c(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370 and 1140948.\nAnswer: 211075380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-7 - -10) - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 2*s. Let v be g(-2). Let f = -9995 + 9994. Let r(o) = -o**2 - o + 3. Let l be r(0). What is the smallest value in -9\/4, l, v, f?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 31932687*q - 3. Suppose 5*l + 33 = 2*p, -p + 29 = -0*p - 5*l. Let c be m(p). Suppose c = -5*f + 28230745. Round f to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189 + 843*j - 110 - 77 to h + t*j and give t.\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1608675 by 445.\nAnswer: 3615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + (1 - -3) + 6 - 0) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = q - 7*q. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 2*u**6\/5 + 35*u**4\/6 - 989*u**3\/3 + 34*u + 13. What is the second derivative of p(q) wrt q?\nAnswer: 144*q**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Suppose -j + 4*j = 5*f + 41, j - 19 = 3*f. Let p = j - 3. What is the lowest common multiple of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*q, 139*q = 2*v + 143*q - 72826. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 9*n + 19. What is the smallest common multiple of 24 and o(-4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18117?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 46?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsba when four letters picked without replacement from {s: 5, g: 1, k: 2, h: 3, b: 6, a: 2}?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961061?\nAnswer: 17, 56533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -75. What is the closest to x in -2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-8)\/(-5)*-4)\/(1\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11385351940.00000428 - -11385351665. Let m = y - -275. Round m to 7 dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3221363 is divided by 230.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.83 - 0.03. Let t = l + -2.5. Let s = -0.6 - t. What is the second biggest value in -5, 3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 814750 + -439176. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8327 - -8678. What is the greatest common factor of 65 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1, 2, -30, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061003?\nAnswer: 3, 7, 98143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104*12\/9*(8 - -8329). Let n be (13\/2 - -1)*w\/312. Round n to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/2*98\/(-42). Suppose -q + o + 10 = 0. Suppose 4*r - 136 = -2*z, 3*z = 6*z + 2*r - 204. What is the greatest common factor of q and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-60) + (-6)\/(-10) + (-4)\/(-26). Put 21, 58, b in decreasing order.\nAnswer: 58, 21, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 6 - 6*s**2 + s**3 + s - 2*s. Let u be o(8). Let l = 1 - 1.1. Which is the biggest value? (a) l (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 17. Let c be k(9). Let o = c + 23. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236838150 rounded to the nearest one million?\nAnswer: 237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 121.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - s - 1. Let p(o) = 5*o**2 - 5*o - 4. Suppose 2*h - 14 + 4 = 0. Suppose -13 - h = 2*r. What is r*z(n) + 2*p(n)?\nAnswer: n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022904841 rounded to six dps?\nAnswer: -0.022905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.34 + 0.34. Let p = d + 18. Which is smaller: p or -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5181025167?\nAnswer: 3, 257, 746653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 5*o - 4 - 2*o**3 - o**2 + 2 - 2*o**3 in the form y + h*o + p*o**3 + i*o**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92504 is divided by 502?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 3 - 0 - -17. Suppose -2*i + w - 4 = 0. Solve -i*p + p = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72683 (base 9) in base 15?\nAnswer: -e316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:08 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 7, -2, 0.079, -0.5?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*q + 16*q - 7 + 7.\nAnswer: -165*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhzhwazwszw. Give prob of sequence zn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n - 0*n. Suppose -20 = 3*s + n*s. Which is greater: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*z + 4*z**3 - 45*z**2 + 45*z**2 - z**3 to x*z**3 + k*z**2 + h + l*z and give l.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 24*r**2 + 2*r - 282. Let x(i) = -11*i**2 - i + 126. Give -4*h(v) - 9*x(v).\nAnswer: 3*v**2 + v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*n - 11, -2*x + 4*n + 14 = -4. Calculate the greatest common divisor of x and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 16*u**2 - 11*u - 175. What is t(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*p = -62, 4*m + 0*m + 3*p + 55 = 0. Let n = m + 22. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*s + 277*s = -108. Let y(t) = 15*t**2 + 3*t + 35. Is y(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3) + (-11310)\/(-261). What is the greatest common factor of 3339 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-42)*7\/(-6)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 15019*i - 376106. What is n(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4277 - -4283. What is the lowest common multiple of m and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-8 + 11 - -1) + 43 + -130\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/7 + 5400*a\/7 + 1822500\/7.\nAnswer: 4*(a + 675)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -76*b**2 - 5000*b - 78624 = 0.\nAnswer: -756\/19, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0156 - -0.3206. What is the nearest to n in 2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-936)*-2536 - (-24)\/108?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, z: 3, w: 6}. What is prob of sequence zww?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 1972?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lal when three letters picked without replacement from alllaalaaaa?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10*d\/d**15 assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 4 - -2 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 9) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -271, -258?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -221120000 (base 3) to base 14\nAnswer: -6b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8421 - 8394. Calculate the remainder when 1553 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7477810657.\nAnswer: 163, 1319, 34781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*j - 71, 2*v + 0*v = 5*j - 76. Let c(u) = 64*u - 2. Let d = 6 + -4. Let i be c(d). What is the greatest common divisor of i and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -20. Let n(l) = 6*l. Let o be n(s). Calculate the highest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -5, -111, 3 in increasing order.\nAnswer: -111, -78, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29ad (base 16) to base 11.\nAnswer: -801a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-81))\/((-792)\/5616 - (-12)\/39). Which is the nearest to -2? (a) -1\/5 (b) 1\/2 (c) s (d) -303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 28*x\/3 - 16.\nAnswer: -2*(x + 2)*(x + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1081 + -96208\/89. Let l = 397 + -287. Suppose -l*t + 19 = -91*t. Is v greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*h*l*v**3*x + 2*h*l + 539*h*v**3 - 211*h*v**2*x - 3*h*x - 2*l*v**3*x - 1267*l*v**2*x - v**2*x wrt v?\nAnswer: 330*h*l*x + 3234*h - 12*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1587536 and 280228.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)\/((-1)\/(-3)). Suppose -2*b + 54 = b. Suppose 4*x = 2*k + 20, b = v*x - x - 5*k. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 4. Suppose 0 = -0*q - 7*q. Let g be f(q). Calculate the remainder when 71 is divided by ((-19)\/(-2))\/(g\/(-8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 48*x**2 - 4621*x + 5734. Determine f(95).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732924798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3857 - 42380\/11. Calculate the common denominator of s and 47\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -145*d + 1. Let n(b) = -14*b + 156. Let i(r) = 2*r + 26. Let v(f) = -6*i(f) + n(f). What is z(v(t))?\nAnswer: 3770*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 o when three letters picked without replacement from fiixfoofpiig?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149875 is divided by 82?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3116144, -6232299, -9348464, -12464645, -15580848, -18697079?\nAnswer: -21813344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9282, 5\/104, 1?\nAnswer: 5\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -13. Let o be (6 - t)*(-6)\/(-4). Let l(q) = q + 2. Let u(m) = -m - 1. Let z(p) = 2*l(p) + 3*u(p). Calculate z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 6*y + 4*y + 4 - y**2 - 5*y. Let d(j) = -5*j + 15. Let o(v) = 3*d(v) - 8*r(v). Find the first derivative of o(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + -2)*1 - 4. Solve -3*s = -4 - c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -53. Let a = 43 - 24. Let h = m - a. Are h and 5\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -321199*d**3 + 276549 with respect to d.\nAnswer: -963597*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 34 = 4254*z - 4256*z, 4*z + 68 = 67*g for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -63635 (b) -417 (c) -3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -21. Let f = -49441.00058 + 49438. Let u = r + f. Round u to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*p - 2*j, -3*p - 4*j = -0*j - 35. Suppose 4 = -4*n + 5*g - 0, -3*n - p*g - 3 = 0. Is (-12)\/((-3)\/n)*(-211)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1.2, 1\/3, 0.2 in increasing order.\nAnswer: 0.2, 1\/3, 1.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-4))\/(27\/(-24)))\/((-57)\/(-192888)*48)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228 * 0.4.\nAnswer: 91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 358553 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92971 less than 92969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.4 (c) -10 (d) 50\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -28 + 33*v**2 + 6366*v**3 - 6363*v**3 + 72*v - 80 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15261415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 844 - 838. Solve 5*q + 19 = -2*h, -q + 3*h - 9 = o*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 0.29 (c) 1 (d) 1196\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 230b01 (base 12) in base 16?\nAnswer: 89131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 339*n**3 + 12078*n**2 + 133380*n - 145800.\nAnswer: 3*(n - 1)*(n + 30)**2*(n + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 349388611 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -42. Suppose d - 3*m = 3, 4*m + 8 - c = -d. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -881, -5, -3 in decreasing order.\nAnswer: -3, -5, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 8) in base 5?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 3 + -3)*(240414\/8 + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 109\/6 + 5166\/(-287). Let h(i) be the third derivative of -4\/3*i**3 + 0 - 1\/30*i**6 + d*i**4 - 5*i**2 + 0*i - 2\/105*i**7 + 1\/5*i**5. Factor h(y).\nAnswer: -4*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1438.425 * 1\nAnswer: -1438.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -511351.6165 rounded to the nearest 10000?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:23 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*k - 183*k + 362*k - 9*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 - -87) + (-1 - -3) - 2 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(7\/4)\/b)\/b)*b)\/b)\/(b\/((b**(-5)*b)\/b*b)) assuming b is positive.\nAnswer: b**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 622, 3880, 12708, 29890, 58210?\n\"Answer: 464*c**3 + c**2 + 7*c + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3693?\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/13 (b) -4 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 2*d**3 - 5*d**3 + (d**2 - 5*d**2 - 2*d**2)*(0*d + 2*d - d) - d**3 - 2*d**3 + 2*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 115661?\nAnswer: 115663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*f + 21 = 0. What is the tens digit of (0 + f\/(-9))*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-10) - (-390)\/75. Suppose 5*i = -0*z + 2*z + 95, z = p*i - 95. Let g be 6*(-4 + 200\/12). Calculate the greatest common divisor of i and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*o**2 + 178*o + 16.\nAnswer: 2*(o + 8)*(11*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27552 and 25256.\nAnswer: 303072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = 5*q - 63, -4*f = -3*q - 84. Suppose 4*p + f = 11*p. Solve p*u = -14 - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*x**3 + 0*x**3 - 9*x**3)*(-6*x**2 - x**2 + 4*x**2).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**4 + 2*p**4 + 0*p**4 + p**4 - 2*p**4 - p**4 - p**4 - 4*p**4 + 4*p**4 + (-p**3 + 0*p**3 + 2*p**3)*(2*p + 2*p - 2*p) - 78*p**4 + 11*p**4 - 54*p**4.\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*s + 2 = -i, -1 = i - s. Let w = i - 1. Which is the biggest value? (a) 1\/5 (b) -8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, d: 7}. What is prob of sequence xxxx?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -0.5 (c) 1680630\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925174 is divided by 1461.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 2*p**2 - 2*p - 9. Let w be s(-4). Let u(a) = 403*a**2 - 5*a + 5. Let f be u(1). What is the greatest common factor of w and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3909 is divided by 286?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 1. Suppose 3*h + 0 = -9. Let b(c) = -5*c + 0*c - c. Let l(u) = 6*u - 1. Let k(p) = h*l(p) - 2*b(p). Determine -17*d(m) + 6*k(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 376*z**4 + 980*z**2?\nAnswer: 9024*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222201221001 (base 3) in base 13?\nAnswer: 438448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 1605 + 1605 - l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 11*n + 31 = a, -3*n = 5*a - 267. Calculate the remainder when a is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/(-28))\/(6\/(-16)) - 261. Let z = x - -365. What is the greatest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198048830 to the power of 1\/3, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1703 + -1702. Which is the third biggest value? (a) -1 (b) u (c) -1.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 - 1)*(1 - 4 + 1) - 2*m - 3*m + 3*m - 2*m - 3*m + m - 4*m + m + 2*m - 1 + 7*m + 1.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*z = 184*z + 3. Let b be 2 + 24\/22*-2. Is z <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, a: 6, b: 4, x: 1, t: 2}. Give prob of picking 1 x, 2 a, and 1 r.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-7 + 8) - (-680)\/200?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, r: 4}. Give prob of picking 3 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -269 + 275. Solve 12 = -b*o + 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 55 = -3*n, 0 = 5*x + 6*n + 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.221758 days in seconds?\nAnswer: 278359.8912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23514 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 36?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*k + 78 = -433*k. Solve 26 = -k*n - 4*a, -3*n + a = -3 + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/7, 2115, 4 in ascending order.\nAnswer: -2\/13, 1\/7, 4, 2115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (2 + sqrt(539))**2 - (-1 + sqrt(539))*3) + (6*((sqrt(539) + 1)*2 + sqrt(539)))**2.\nAnswer: 3031*sqrt(11) + 175324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 5*g**3 - 34*g. Let r(v) = -2*v**2. Calculate s(r(h)).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:40 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, z: 2, r: 2}. What is prob of picking 2 h and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2219 - -8?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1433, -1986, -2539, -3092, -3645?\nAnswer: -4198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (0 - 23) - ((15 - 36) + 20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7456151040 to the nearest integer?\nAnswer: 86349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 4:24 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9952000 less than 361144?\nAnswer: 10313144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -1342?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 40 = 2. Suppose 2*o = p + o + 37, 0 = p - 5*o + m. Let s = -26 - p. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3 + 2)\/3)\/(6\/(-126)). Let y be (4\/((-56)\/174))\/(2\/g). Let v = y - -60. What is the common denominator of -53\/48 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136278434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1301 + 203 = -3*b. Suppose -b - 146 = -4*k. Calculate the highest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 73390 = -9*h - 26210. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 6*b - 1. Let t = 65 + -24. Let l = t + 1. Let a = -37 + l. Calculate w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6 = -2. Suppose 178*u - 172*u - 11172 = 0. Let s be (-8)\/(-14) + (-868)\/u. Which is the third smallest value? (a) -2\/13 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -3*l**2\/2 - 1. Let o(m) = -3*m**2. Determine d(o(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1580)\/(-50) + (-6)\/(-15) + -4 + 3. Solve 0 = -22*l + o*l - 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 1 + 9. Suppose -4*k + 5128 = r, 5*k + 4*r - 6407 = f*r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Let y = -0.4 + k. Let i(o) = -o**2. Let n be i(1). Is y at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -15. Let k(m) = m**3 + 5*m**2 - 13*m + 12. Let u be k(o). Let x(c) = 3*c**2 - 8*c + 5. Give x(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 9:46 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j**2 - 17*j - 228. What are the prime factors of b(14)?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-57)\/152 + (-491)\/600 and -61\/33.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 - 96. Let z = r - 129. Solve 2\/3*n**z + 0 + 2*n**3 + 2\/3*n**2 + 0*n + 2*n**4 = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -78. Let x = -25 + y. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147.92 - -145. Let b = -0.08 + y. Let h = 21.7 - 22. What is the third smallest value in h, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2 (b) -1.64 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by 70\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.50999982 + -0.51. What is c rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v + 5. Calculate the remainder when ((-10)\/(-8))\/((-5)\/(-260)) is divided by l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*u + 0*u = 20, 5*t - 3*u - 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m + 35*m = -16*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22479.406 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 7. Suppose 2*t - 6*t = -20. Suppose -4*f + 19 = -t. Solve 0 = 2*j - f*j + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k - 49 = -125 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 255112 - 43404?\nAnswer: 211304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n**2 + 86*n + 5. Let b(r) = -13*r**2 + 87*r + 4. Determine -5*b(w) + 4*h(w).\nAnswer: w**2 - 91*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 26636256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11441 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwh when three letters picked without replacement from {r: 11, h: 4, w: 1, t: 1, f: 1, e: 1}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*r - 1 + 3 = 0, u + 5*r + 14 = 0. Let s be ((-2)\/u)\/(-5 + (-2955)\/(-590)). Let y = s + -57. Solve -q + y*q = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcwcwcccccrcrywccrc. What is prob of picking 1 r and 2 w?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -828 divided by 276\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 + 33*k**2 - 1171*k - 40. Calculate t(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiikirin. Give prob of sequence ikyi.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/3 + 1118050*q**2\/9 + 4596724*q\/3 + 496944 = 0. What is q?\nAnswer: -12, -1\/3, 186354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305 or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52230 rounded to the nearest one thousand?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tce when three letters picked without replacement from eecqqtnc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 greater than 6528\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10059 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 19232*j**3 + 23001184*j**2 + 278094720*j + 836366400.\nAnswer: 4*(j - 2410)**2*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -38*h**3 + 5*h**2 - 2*h + 4. Is g(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/7 - 4946642*p\/7 - 4946640\/7 = 0. What is p?\nAnswer: -2473320, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -110*q + 595. Let n(v) be the third derivative of -v**4\/12 - v**3 - 7*v**2. What is the remainder when t(5) is divided by n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 489 + -67. Let m = o - 422. Which is smaller: 215 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - 2*q**2 - 45 + 78 + 3*q**2 - 5*q**2 + q**2 + (2*q - 2 + 2)*(-2*q - 2*q + 6*q) + q + q**2 - q to r*q + y*q**2 + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.9281 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 8}. Give prob of sequence ew.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 34 = 3*b - 0, -p + 4*b - 7 = 0. Suppose -15*q + 40 = -p*q. Solve 0 = -4*r - 12, 4*o - 8*o - q*r - 16 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0649 times -2\nAnswer: 0.1298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -3*u + 55, -24 = -u - f. Let p(c) = c**2 - 5*c - 8. Let i be p(6). Does 11 divide u\/(-30) + (447\/9 - i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 712880426*m - 114*m**2 - 712880426*m.\nAnswer: -114*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**3 - 21*i**2 - 25*i - 15. Let j(c) = -36*c**3 - 105*c**2 - 123*c - 75. Let h(x) = -4*j(x) + 21*k(x). Solve h(f) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8ed + 1422e?\nAnswer: 14b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.129 - 3.129. Which is the closest to 4\/73? (a) -2 (b) 2\/13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996320.1l to millilitres.\nAnswer: 996320100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + g**3 - 9 + 5 + 2*g**2 + 2*g**3 - 2*g**2 + (0*g - 3*g + g)*(-2 + 2 - g**2) in the form j*g**3 + b + m*g**2 + h*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:27 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (9 - 7) + (29 - (5 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 7 = 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*k*y**2 + 188*f*k*y - 199*f*y**2 - 2*f*y wrt y?\nAnswer: -4*f*k - 398*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36820.\nAnswer: 2, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1975029 by 658343.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 4*c**2 - c + 2680. Is 67 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 16 + y + 3*y + 10*y + 2*y**2. Let c = -4 - -16. What is the units digit of q(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103344 (base 6) in base 8?\nAnswer: 20560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 x when three letters picked without replacement from {x: 2, q: 8, r: 8}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1327 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106 divided by -6?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*o - o = 6, 5*o + 5 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*s - 24, -14*s + 3331*a = 3327*a + 112 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from zkzkkzjzkjknzjzjjkkj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -4 (c) -2\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -11 + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5215.12 + 5215. Which is the smallest value? (a) f (b) -7 (c) 0 (d) -2\/3 (e) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 0 + 0 + (414 + 3*n + 401 - 762)*(-1 - 2*n + 1) in the form r + c*n**2 + y*n and give y.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 20\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 19*m**2 + 14*m - 109. What is t(12)?\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 29117*t + 378511. What is h(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhvvvvvvvh. Give prob of sequence vvhv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15824251 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 - c**3 + 8*c**2 + 1 - 2*c**3 - 2*c to the form i + h*c + l*c**3 + z*c**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 160, 279, 470, 733, 1068?\n\"Answer: 36*t**2 + 11*t + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(114) + (sqrt(114) + sqrt(114) + -1*sqrt(114) - sqrt(114)))*-2*5)\/(3*-4*(-2*sqrt(96) - sqrt(96) - sqrt(6))).\nAnswer: -25*sqrt(19)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*k - 7, -3*c = 4*k + 462. List the prime factors of c\/3*5\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-29)*o)\/o)*(o**18*o)\/o*o)**39 assuming o is positive.\nAnswer: o**1911","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583273?\nAnswer: 1583273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.86 + -0.14. Let o(j) = -j**2 - 7*j - 9. Let s be o(-6). Let u = 0.03 - 0.33. What is the smallest value in u, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441 (base 10) in base 12?\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -207. Let t be -7340*6\/q*720\/(-54). Round t to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440663388 divided by -7458?\nAnswer: 59086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7272\/522 - (-32)\/464.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f + 10. Let d be u(4). Let i be 0 - (1 + -4 + 8 + d). Let z be 2\/i - 6\/(-10). Sort 1\/2, 7, z.\nAnswer: 1\/2, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858240.4 millilitres in litres?\nAnswer: 858.2404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 + 6*c**2 - 81 + 81. Let m(q) = q**2 + 2*q - 2. Let y(f) = 3*f - 3. Let r(o) = -3*m(o) + 2*y(o). Give i(r(k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from lnlnnnnnnlnn.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 2. Let u be z(8). Let a = -4 - u. Suppose 0*f = -5*f + 10. Calculate the least common multiple of f and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*g - 154*g + 419*g + 61*g + 311*g.\nAnswer: 975*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u. Let r be (2\/5)\/((-2)\/(-10)). Suppose r = -u*i + i. Solve 5*s + 8 = -i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*f - f. Suppose f*h = -h + 3906. List the prime factors of h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - u**2 + 4 + (-u - 4*u + 3*u)*(-3*u - 3*u + 4*u) - 2*u**2 + 5*u**2 - 2*u**2 - u + u - 2*u**2 - 7 + u**2 + u**2 + 6.\nAnswer: 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25443*q - 17 = -3*b - 25445*q, b = -q + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182933*b**2 + 908*b wrt b.\nAnswer: -365866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - y + 1142 = -0*a, 2*a - 3*y - 743 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270.87 - -495.84. Let j = b + -225. Are j and -3\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -100*r + 0*r**2 + 31\/12*r**4 + 16*r**3 - 1. What is the second derivative of y(o) wrt o?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 4*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10111100010100011001101011?\nAnswer: -10111100010100011001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5))**(4\/5)\/(n**(1\/2)*n*n**(2\/7)) assuming n is positive.\nAnswer: n**(-569\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.06 - -0.16. Let y = g - 1.1. Suppose -4 = 2*s + 2*p - 18, -3*s = -4*p + 7. Which is the closest to 0? (a) s (b) -2\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (133575\/(-13) + -4)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 15 - 92 = -35 + 24 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/589 and -37\/133.\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -135?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6389049 decades in centuries?\nAnswer: 0.06389049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(6\/5)*m*m*m\/(m\/(m**(12\/11)*m))*(m**(-1)\/m)**(-25\/4))**(-22) assuming m is positive.\nAnswer: m**(-1803\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let z(u) = -u**3 - 9*u**2 - 9*u + 7. Let d(r) = -3*w(r) - z(r). Let g be d(-8). What is the highest common divisor of 81 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22590 and 30?\nAnswer: 22590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2 - 63*u + 2925. Is 55 a factor of h(40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/8*124\/(-651). What is the biggest value in g, 4\/5, -48?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 + (3090\/27)\/(-2). Let b = -54 - n. Let c(h) = 3*h + 1. Let i(w) = 39*w + 12. Let m(x) = -27*c(x) + 2*i(x). Calculate m(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 73 and 9.1.\nAnswer: 82.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -5, -268\/11, -41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 12) to base 4.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 144 = 21*l. What is the least common multiple of l and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5 - 5. Suppose -2*l - k = -3*l. Suppose 0 = g + 3*g, -l*n = -2*g - 50. 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: Put 0, -3, -1, -13, -5 in ascending order.\nAnswer: -13, -5, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556344 divided by -139086.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 15. Let d(r) = 14 + 12 - 26 - n*r. Let x(s) = -2*s**2. Give x(d(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22473 and 1089?\nAnswer: 247203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82663871 to the power of 1\/2, to the nearest integer?\nAnswer: 9092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22222 + -0.213313. Round r to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4630214 * 21.\nAnswer: 97234494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 297\/(-6)*22\/5. Let k = -217 - f. Factor 2\/5*h**3 + 6\/5*h**2 + 0 + k*h.\nAnswer: 2*h*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -207\/143371?\nAnswer: -207\/143371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226650020 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 greater than -11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23656, -32088, -40524, -48964, -57408, -65856, -74308?\nAnswer: -82764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1 (b) 1 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514951 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63711084 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - r - 2 = 0, 0 = -o - 0*o + 3*r + 11. Let h be -2 - o - (4 + -14). Let z be 28\/(-45) - (-2)\/h. What is the second biggest value in -5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9397, 12443, 15497, 18559, 21629, 24707?\nAnswer: 27793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.67153027 to two dps.\nAnswer: 8.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2882 and 3406?\nAnswer: 37466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -26, 1, 5971 in decreasing order.\nAnswer: 5971, 3, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m + 4 = 28*m. What is the remainder when (-6*(-164)\/(-18))\/(m\/3) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {e: 2, i: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-14)\/21)\/(84\/5481) and -41\/79?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*a**3 - 20188*a**2 + 55608*a + 11520 = 0.\nAnswer: -6\/31, 3, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770042000?\nAnswer: 2, 3, 5, 295007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 18*q - 55. Let r be m(-5). Calculate the greatest common divisor of 30 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14887?\nAnswer: 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*m + 10, 24*m + 1 = 21*m + 2*i. Is (-8)\/((-16)\/6)*(-2533)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 9*o**2 + 11*o - 10. Let x = 74 - 66. Calculate the remainder when 38 is divided by j(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) + 164\/6. Let y = -9 + -6. Let d = y + k. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 a, and 1 i when three letters picked without replacement from abbaaaayi.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32942600?\nAnswer: 2, 5, 17, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 0*y**2 + 1 + 2. Let o = -217 - -211. What is the remainder when k(o) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3)**(3\/31)\/((c**(2\/53)*c)\/c)**(-48))**34 assuming c is positive.\nAnswer: c**(122808\/1643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b - 5*m, 3*m = 4*b + b - 14. Let u be 0 - b\/(-22) - 1432\/11. Let y = -61 - u. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 811.\nAnswer: 810.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 = -18*c + 565. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:10 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*j - 4, -4*j - 1 = o + 5. Let t be j + 21001 + (-2 - -2). Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -153 and -0.19.\nAnswer: 29.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 964190 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46843154497 - 76*q**3 - 46843154497.\nAnswer: -76*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 84.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00255547 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*u + 331 + 20 = -38. Is u at most 2\/36135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*-2) + 5.\nAnswer: -sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12358 and 3\/5180?\nAnswer: 865060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 1. Let d = -4.5419 + 3.5419. Let t be (-2)\/(-11) - 0\/(-1). Which is the nearest to n? (a) -0.1 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:27 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9488*f = -9503*f + 165 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15810 and 5610?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1368826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1305880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/57)\/j*j)\/(j*j\/(j*j**(1\/40)))*j**(-6)\/j**(-15) assuming j is positive.\nAnswer: j**(20497\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -8, -57 = -2*l + n + 3. Let f = 363 - l. Suppose -31*z - f = -35*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*t + 4, 3*t - 4 = -3*r + t. Suppose r = i - 5, -5*n - 5*i + 55 = -2*i. Let g(y) = -2*y - 7. What is the remainder when n is divided by g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168720172.013 + 1.8?\nAnswer: -168720170.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1936711 to 3 decimal places.\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -122, 1.6, 15, 2\/11, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let a(f) = 2*f**2 + 10*f - 4. Let y be a(-5). Let v(t) be the first derivative of 3*t**2 - 3*t - 4. What is y*z(x) - v(x)?\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Let g(x) = 25*x - 2. Let i be (3 + -2)*(-6 + -49). Let v(r) = 675*r - 55. Let y(h) = i*g(h) + 2*v(h). Give u(y(q)).\nAnswer: 625*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 - -1705\/8. Which is the third biggest value? (a) i (b) -17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 193, -11.\nAnswer: -11, 118, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 9) in base 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.95 + -1.25. What is the nearest to 0.2 in -2\/9, -2\/21, b?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 1, -156 in decreasing order.\nAnswer: 1, -39, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 3. Let x be t(-2). What is the second derivative of 2*c**3 - 7*c**2 + x*c**2 + c wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (10 + -14 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*w**3 + 295*w**3 + 4 + w**2 - 152*w**3 + 29 in the form y*w**2 + x*w**3 + b*w + f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 242, 10.5, 3, 2, 0, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y + 1 + 0 - 1 to z + l*y and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 16) in base 3?\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1852 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/36 and -97\/788084?\nAnswer: 7092756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 - 2*b**2 - 2*b**2. Let q(j) be the first derivative of 2*j**3\/3 - 3. Calculate w(q(i)).\nAnswer: -44*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5236110 and 363178.\nAnswer: 3526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12*-2)\/((-5)\/(-90)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 11*h**5\/60 + h**4\/12 + 19*h**3\/3 - h**2 - 11*h. What is the second derivative of b(k) wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66*(-12 - 99\/(-22)). Which is bigger: -498 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.01558 + -274.\nAnswer: -272.98442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 2.72?\nAnswer: 0.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3155.522 - 30.522. Is 3\/5 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -593\/4 at most as big as 0.0915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h\/(h*h**(2\/11))))*h*h\/(h*h**6)*h*(h\/h**7)\/h*h*h**8)\/((h**(-2\/3))**(-14)\/((h**(-8)\/h)\/((h**(-9\/2)\/h)\/h*h))) assuming h is positive.\nAnswer: h**(-925\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*y - 139119 = 74040 for y.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r + 142. Calculate the remainder when 449 is divided by o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1182, -4729, -10640, -18915, -29554, -42557?\n\"Answer: -1182*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 137533031 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3\/4 + 123*i**2\/4 - 1317*i\/4 + 2925\/4 = 0. Calculate i.\nAnswer: 3, 13, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (4*sqrt(190)*1)\/(sqrt(40) - (sqrt(40) + sqrt(40) + sqrt(40)*1 + sqrt(40)))).\nAnswer: -2*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*h + 9678 = -4484 + 3087 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -585 - -580. Let c(d) be the third derivative of -d**5\/60 - d**4\/6 + 2*d**2. Determine c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/1*(-2)\/2. Suppose -2*s - 51 = -h + 2*s, u*h - 5*s - 226 = 0. Suppose 2*w = w + h. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 - 21*z**2 + 21*z + 9. Let g(u) = 4*u**3 - 11*u**2 + 11*u + 5. Let d(y) = -5*g(y) + 3*o(y). Calculate d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551639287 to the nearest integer?\nAnswer: 23487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l - 5*f - 4, 0 = -3*l + 2*f + 23. Solve -l*x = -7 - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**0*m*m)**20*(m*m\/(m\/m**1))**(-38))**46 assuming m is positive.\nAnswer: m**1104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0516 - 294.9484. Let s = v + 298. Which is greater: s or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4273289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:48 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:57 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-26) - 17\/(-26))*3. Let w = 182 - 1817\/10. Let p = 2828 + -2832. Put d, -5, p, w in descending order.\nAnswer: d, w, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**2 + 2*n + 1. Determine f(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfh when three letters picked without replacement from fxxbxxffhxfffxbfhx?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 4*f**2 + 0*f**2)*(-20*f - 109*f - 93*f)*(-3*f + 3*f + 3*f).\nAnswer: -666*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1363*a**2 + 1668*a**2 + 171*a**2 to the form f*a + c + v*a**2 and give v.\nAnswer: 3202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(7))**2 + -3 + (sqrt(49)*1)\/sqrt(7).\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + 7*p + 0*p**3 - 18*p + 53*p + 20*p**2 + 3*p**3.\nAnswer: 3*p**3 + 2*p**2 + 42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -5*(sqrt(3200) + -5*sqrt(3200)*-1 + sqrt(3200)) + 2)**2*-6.\nAnswer: -23520054 + 50400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2171727.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*x + 0 + 3 = 0, 0 = t - x - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.2346 + 0.0346. What is o rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 2. Let u(z) = 2*z. Let g(t) = -1. Let j(f) = 10*g(f) - u(f). What is the units digit of j(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 4, -0.1, 0.127935?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004136277 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/((sqrt(60)*-2)\/sqrt(10) + sqrt(6))*-4)\/(2*sqrt(3)*-3 - (sqrt(363) - (sqrt(363)*1 + sqrt(363)) - sqrt(3))))**2 + 5.\nAnswer: 65\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcf when three letters picked without replacement from {c: 1, p: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226*v**3 + 2*v + 507?\nAnswer: 1356*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(-3 + sqrt(4800) + 0 - sqrt(4800)*-2*-2))**2 + 3.\nAnswer: 25920*sqrt(3) + 1555524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 6. Let l = -652\/5 + 131. Let i = -2300 - -2300. Which is the nearest to n? (a) l (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 25 = -3*g. Find the third derivative of -14*l**2 + 4*l**2 + 0*l**2 + g*l**4 wrt l.\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.831 - -14.011. Which is the fifth biggest value? (a) 4 (b) t (c) 11 (d) -1\/8 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1356*a - 169*a**4 - 3 - 448*a**3 - 87*a**4 - 132*a**2 + 1412*a - 1.\nAnswer: -4*(a + 1)**2*(8*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3 and (-2)\/(-8) + 51\/(-44)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5034 + -1062176\/211. Let h = -448\/2743 - a. What is the smallest value in h, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130997, -130942, -130889, -130838, -130789, -130742?\n\"Answer: -q**2 + 58*q - 131054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t - 493. Give g(51).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 6*b + 3*b)*(3*b**3 + b + 45*b**2 - 45*b**2) to the form v*b**2 + f + i*b**4 + o*b**3 + y*b and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c + 3676 = 3244 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (14 - (-7 + 18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2340*-13)\/(40\/48)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7670, 61180, 206220, 488492, 953698?\n\"Answer: 7617*r**3 + 63*r**2 + 2*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*p + 28*p + 84 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1363*y**2 + 465*y**2 + 461*y**2 + 455*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -8.083466 - -2?\nAnswer: -6.083466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*a + 187, 142*a + l + 169 = 146*a. Solve 0 = -33*b + a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6741 - -6751. Calculate the smallest common multiple of 695 and t.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83959494*h**3 - 85*h + 361927 wrt h.\nAnswer: 503756964*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 42*w + 244. Let n be b(-7). Let q(p) = -p**2 + 3*p - 3. Let k(t) = t - 1. Let y = 11 - 7. Let s = -1 + y. Determine n*q(x) + s*k(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 104*b**3 + 90*b**3 + 3*b**2 + b**2.\nAnswer: 194*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by (12\/16)\/(1\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {w: 1, c: 5, q: 2, n: 5, h: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + (-26)\/(-4). Suppose -6*y - m = 4*l - y, -2*l - 2*y = 4. Find the common denominator of -111\/22 and 62\/((-3)\/(-9)*l).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:20 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/(-15)*19965\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**3 + k**2\/2 - 18*k. Give l(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 24 = 5*l. Let r(s) = -s**3 - 2*s**2 - 2*s - 2. Let j be r(-2). Let g = 5 - j. Solve l = -v - g*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 350 = f + 3*f, -153 = -2*v - f. Let n = 106 - v. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -671.85.\nAnswer: 739.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/66 and 151\/149670?\nAnswer: 1646370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -34686, -10, -0.5, -1\/3 in ascending order.\nAnswer: -34686, -10, -0.5, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224204053 divided by 8473.\nAnswer: -26461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*z + 14 = 0, -3*z + 46 = -0*b + 5*b. Suppose 282 = -b*t + 842. Suppose 0 = -2*r, 5*r - 918 + t = -4*g. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -7*z - 5*t - 7, 4*z + 21 = 5*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = -5 - 39 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/5 - 69408*b\/5 + 602183808\/5 = 0.\nAnswer: 17352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kokr when four letters picked without replacement from rrrkroorrkrkrkko.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 34, 60, 84, 106?\n\"Answer: -h**2 + 31*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(20\/12)\/5. Suppose 0 = 5*t + 20, -d*l - 2 + 18 = t. What is the derivative of 11 + i**l + 8 - 22 wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o - 1. Let d(l) = 1 - 3*l - 3*l**2 - 6 + l + 3. Let f(t) = -2*d(t) + 4*z(t). Let m(r) = -r + r + r + 0. Determine m(f(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113979428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (235\/4230)\/(1010\/360).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 6*o - 9*o + 23, -o = u - 6. Let k be ((-4)\/(-2))\/(8\/12). Suppose o = -k*i + 4. Solve v = -y - 1, 4*v + 8 = y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7*p + 874. Is (-2 - p\/3)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 563728900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 5, -2 in descending order.\nAnswer: 5, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.7 + 47.182. Let h = k - 0.482. Sort 2\/3, 9, h.\nAnswer: h, 2\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 8226*y\/5 + 8227\/5.\nAnswer: -(y - 8227)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 4*x**3 + 4*x**3 + (-4 - 2*x**3 + 4)*(2*x**2 - 1 + 1) - 7*x**5 + x**5 - 10*x**5 + 40*x**4 + 3*x**5 - 44*x**4 + 39*x**4.\nAnswer: -18*x**5 + 35*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-12 - 1) + 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82636.35 hours in seconds?\nAnswer: 297490860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350606946 + 514?\nAnswer: -2350606432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4362*s**2 + 1871*s**2 + 5806*s + 7809*s**2 - 5805*s.\nAnswer: 14042*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 8*u**2 - 12*u - 2. What is the tens digit of b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1006 divide 29815069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = 4*b, 270*q + 3*b + 164 = 275*q. Let j(d) = -d**3 + 3*d**2 + 3*d + 3. Calculate the remainder when q is divided by j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r\/(((r*r**(-2\/5))\/r*r)\/r)*r)**(2\/49)\/(r*r**0*r*r)**(-1) assuming r is positive.\nAnswer: r**(789\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 16*r - 43. Let h(c) = -19*c + 44. Give -4*h(z) - 5*o(z).\nAnswer: -4*z + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6))**(22\/9) assuming y is positive.\nAnswer: y**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -20*n**4 - 5\/4*n**2 + 0 - 10*n**3 + 0*n = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.483 times 0.723\nAnswer: 0.349209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*l**2 + 537*l**2 + 342*l**2 - 139*l**2 in the form t*l + x*l**2 + r and give x.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a week in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675*p + 25 = -670*p. Suppose -p*x + 22 = -3. Solve -n - 4*y + 5 = -x*y, y = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 1 + 255 + -252 - (-1 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:22 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**5 + 2562*j**4 - 30474*j**3 + 136728*j**2 - 273051*j + 204606 = 0.\nAnswer: 3, 842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -373640, -747279, -1120918?\n\"Answer: -373639*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -634, -1950, -3992, -6760, -10254, -14474?\n\"Answer: -363*x**2 - 227*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1\/60*z**5 - 1\/3*z**4 + 2*z + 29*z**2 + 7\/6*z**3 + 0. Determine o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -72\/13, 4, 165, -3?\nAnswer: -72\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3*u + u + 7)*(-1 - 1 + 0) to q + x*u and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, v: 3, s: 8}. What is prob of sequence sksv?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -1 = 3*u + 2*a - 4, -s*a = 6. Solve 3*o = 2*o + u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*p**3*y + 2146061*p**3 + p*y - 2*p - 242*y - 5390 wrt p.\nAnswer: -66*p*y + 12876366*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.096098 + 0.096. What is m rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - d + 348 = 0, -2*g = 3*d - 2*d - 232. Calculate the remainder when g is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 - 49 - (-234114 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.3811 centimeters to kilometers.\nAnswer: 0.001613811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 3*42\/(-54)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/(-444))\/(3\/((-90)\/25)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*p - 21 = 2*o, -5*p + 27 = -4*o. Let z be ((-8)\/(-3))\/(2\/o). Let y be 12\/14*(-14)\/z. Solve 0 = y*c - 8*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2244 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/120)\/(14\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 762, 5858, 19690, 46626, 91034, 157282, 249738?\nAnswer: 372770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3038346 and 83\/337594.\nAnswer: 3038346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6276 and -33.03145.\nAnswer: -32.40385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, i: 4, c: 4}. Give prob of sequence hchi.\nAnswer: 88\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -64.28. Which is the smallest value? (a) -3 (b) -1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (-89 - -71)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3*i**6\/7 + 4*i**5\/35 + 6. Factor q(y).\nAnswer: -2*y**4*(9*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 83*p**3\/6 - 8*p**2 - 17*p. Let f be z(12). Suppose -6*o = 4*o - f. Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.0688 - -0.0688. What is the closest to t in -5, -3, -6.1, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18224417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.2 - -44.977. Let h = k + 0.223398. Round h to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:44 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -53*y**6\/6 + 28*y**3\/3 + y**2 - y + 133. What is the second derivative of d(u) wrt u?\nAnswer: -3180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -12. What is the second biggest value in 1, -2\/5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 divided by 3?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*p + 840*p + 80 = 260 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*a**3 - 84*a**2 + 84*a**2 + (-2*a + 4*a - 3*a)*(5 - 5 - 3*a**2)*(1 - 1 - 3).\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 30456 = 3*y. Let i(w) = -y - 11*w + 2546 + 10*w**2 - w**3 + 0*w**2. Let d be i(9). Is d not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 153*d - 98. Let y be p(74). Calculate the highest common divisor of y and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 29*d - 48. Let b(g) = -58*g + 96. Let k(z) = 2*b(z) + 5*t(z). Is k(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 25*x**2 + 65*x + 35. Give f(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (2 - -2) - 1) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 326 + 13?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 36.36411g?\nAnswer: 36364110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*t - a, a = 2*t + 146 - 147 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 11*j - 42. Let v be g(-6). Let d = 16 + v. Find the first derivative of 8 + 17*m**4 + 12*m**4 - 7*m**d + 8*m**4 wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*s - 7 = 0, 5*s - 2*s + 33 = 3*h. Solve 0*w - 4*w + 8 = -4*u, -5*u + 3*w = h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41648 divided by 8?\nAnswer: -5206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*s + 29. Let r(h) = -8*h**3 - 20*h**2 + 11*h - 17. Let i(g) = -3*g**3 - 7*g**2 + 4*g - 6. What is s*r(d) + 11*i(d)?\nAnswer: -d**3 + 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -793, 4, 6 in increasing order.\nAnswer: -793, -2, 4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = -5*u. Let k(i) = -5*i + 2. Let r(h) = -h**2 - 38*h - 358. Let q be r(-20). Let o(b) = -6*b + 2. What is q*o(w) + u*k(w)?\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:42 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*v - 190 + 190 to the form w*v + z and give w.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -2*w + 0 + 11\/135*w**6 + 1\/63*w**7 + 4\/9*w**2 + 1\/18*w**5 - 5\/18*w**4 - 8\/27*w**3. Determine b, given that g(b) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42788*n**3 - 85780*n**3 + 9*n + 42810*n**3 - 9*n.\nAnswer: -182*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53707 - 37266. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 32 = -3*u + 4*z, 6*u - 2*z - z = -42 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -20 - 48. Let z = t - 66. Solve r - z - 3 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 8. What is the remainder when c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5058, 40554, 136898, 324516, 633834, 1095278?\nAnswer: 1739274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 628*z**2 + 3. Let k(b) = 3136*b**2 + 16. Give 2*k(w) - 11*p(w).\nAnswer: -636*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/8 + -2)\/(40\/(-120)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 30619358.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130*n**2 + 53885785*n + 2072530.\nAnswer: 5*(n + 414506)*(26*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-254)\/(-4))\/(12\/24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -533*b - 532*b + 1065*b - 3*b**2. Let o(a) be the second derivative of -17*a**4\/12 - a. Give u(o(r)).\nAnswer: -867*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlbebblvvvvbbbblvbnu. What is prob of picking 1 u and 2 b?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 25 (b) 0.02 (c) 1\/2 (d) 1384 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150 - -109) + (5 - 6 - 1) + 5?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 + 2*t - 3. Let q be x(7). Let k = q - -11. Calculate the remainder when 108 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 2688?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 1 + l**2 - 3*l**2 + (3 + 0 - 4)*(-2 + 5*l**2 + 2) + l**2 + 0*l + 0*l + l**2 + 0*l**2 - 2*l**2 + 0*l**2 + 4*l**2 + 2*l**2.\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22880 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844434219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 456134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(275))*4*-6)**2*4.\nAnswer: 23040*sqrt(11) + 635904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211112122 + -22020202?\nAnswer: -2010210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o**6\/3 + 3*o**2\/2 - 2. What is the second derivative of a(g) wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111287604853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45784 and 0.04.\nAnswer: 45784.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 21223011?\nAnswer: -21223002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2 - 15\/9). Let w(v) = -2*v - 6. Suppose 4*f + 3*z + 0 = -18, -2*z - 13 = 3*f. Let q be w(f). Solve 2*l + 0*l = d - 5, h*l - 2*d + 10 = q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16134?\nAnswer: 2, 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from mjmtqjwtwtmjmqwtqww?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642*j**2 - 833*j**2 - 810*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 474 and -7115.\nAnswer: -3372510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2 = -7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 647574 or 647595?\nAnswer: 647595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -1, -11, -21, -31, -41?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + -10 - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -193, -3 in descending order.\nAnswer: -3, -4, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 5*s + 34. Let j = 22 - s. Suppose j*q = -43 + 408. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j*j*j**(-21)\/j)*j))*(j*((j\/((j\/((j\/(j**20*j*j))\/j))\/j)*j)\/j)\/j)\/j*j)\/(j**(-1\/22)\/j)**(-12\/5) assuming j is positive.\nAnswer: j**(-83\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29347858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 44458?\nAnswer: 44453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -22*v**4 + 12*v**3 - 4*v - 12. Let c(z) = 18*z**4 - 14*z**3 + z**2 + 5*z + 12. Let i(y) = -4*c(y) - 5*o(y). Find the third derivative of i(x) wrt x.\nAnswer: 912*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljly. What is prob of picking 1 y and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 185 - 48 - 90 + 12517*y**2 as p*y + r*y**2 + l and give r.\nAnswer: 12517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -7. Let x = 7 + d. Sort -0.1, x, 0 in increasing order.\nAnswer: -0.1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 + 5*z**2 - 5*z**2. Let u(i) = 23*i**2 - 7*i**2 - 7*i**2 - 4*i**2 - 3*i**2. Determine l(u(y)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y**3 + 89*y**2 - 145*y + 71. Suppose 15 = -811*s + 816*s. Let g(r) = 11*r**3 - 87*r**2 + 145*r - 73. Let h(l) = s*g(l) + 4*u(l). Factor h(j).\nAnswer: -5*(j - 1)**2*(3*j - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/3 (b) -0.08 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46082, -44787, -41272, -34427, -23142?\n\"Answer: 185*j**3 - 46267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/7 - 636432*a\/7 - 21000078\/7 = 0. Calculate a.\nAnswer: -318183, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6022*c**2 + 1479*c - 1262*c - 6031*c**2 as v*c**2 + b*c + g and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-3 - (-27)\/12). Suppose -p = l*p - 188. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 minus -80148.8924811?\nAnswer: 80241.8924811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -9, 9\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 22*a**2 + 3. Let i(z) = -50*z**2 - 2*z - 7. Let s(w) = -4*i(w) - 9*n(w). What is s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -963212, -1926329, -2889446, -3852563, -4815680, -5778797?\n\"Answer: -963117*y - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 12306*c + 12619803.\nAnswer: 3*(c + 2051)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 4*a - 2. Determine z(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*u - 12*u. Let a be 4\/(-8) + u\/36. Let c be (-1 + -4 - -2) + 4. What is the closest to -2\/13 in c, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**3 - 42*d**2 - 137*d - 833. Give b(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -9. Let x(t) = 4*t - 6. Let f be x(8). Calculate the greatest common divisor of c and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2*147\/(-6). Suppose 0*p + q = 5*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 1. Let p be a(2). Let v(n) be the third derivative of 0*n - 1\/24*n**4 + 0 - n**2 - 2\/3*n**3. Give v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3863*x - 3451. Let f(g) = 5788*g - 5177. Let y(o) = -7*f(o) + 10*v(o). Differentiate y(r) wrt r.\nAnswer: -1886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -428*o - 68?\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8106 + -7439. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 + 5*r**2 - 9*r - 5. Suppose 0 = -3*d - 7 + 22. Let b(y) = -3*y**3 - 2*y**2 + 4*y + 2. Give d*b(l) + 2*w(l).\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 12*h + 0*h**2 + 1\/2*h**3 + 0. Let d(v) = 4*v. What is q(d(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2120 = t, 96*a = 97*a + 5. Which is greater: t or -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r + 2. Let k(w) = w + 1. Determine -k(v) - u(v).\nAnswer: 5*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230 - 7584.\nAnswer: -7814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 752 and 144?\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 19688 + 19880 = -5*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3375 = 902369*k - 902294*k for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -237, -15 in decreasing order.\nAnswer: -3, -15, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w + 12*w**2 + 8*w - 15*w**2 - 2*w.\nAnswer: -3*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101001 - -111100100?\nAnswer: -10000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/12 + 5*z**3\/6 + z**2 - 2*z. Let b be j(7). Let g be -2 - (21\/b + 0). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 683333*r**5\/20 + r**4\/12 - 2*r**2. Let c be a(2). What is c rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15 + 18 + 6*c - 32. Let k be (-2)\/(((-3)\/6)\/(2\/8)). Give h(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - -57. Let l = -83 + g. Is 36 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20451)\/34085 - ((-142)\/(-5) + (0 - 1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -18. Suppose 4*v - 8*v - 4*n = 0, 2*v + 3*n = o. Suppose -f - 14 + 68 = v. Is f a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 22.4828.\nAnswer: 15.4828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -3 + 2 + 2. Let l be h\/(0 + -1 + 0). Suppose -b + 9 - 1 = l. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 - (2 + 0). Which is smaller: s or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33618367 is divided by 1514.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*t + 9, -153*a - 36 = -157*a - 4*t. What is the highest common divisor of a and 4412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 739 - 729.77. Let g = -7.23 + u. What is the biggest value in -63, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -529, -460, -391, -322, -253?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 13*n**2 - 29*n + 3. Let k be l(-2). Solve 7*b + k*b + 24 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(75) - sqrt(75)))**2.\nAnswer: 90*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -65.39. Let a = x + 0.41. Let l be -3 - -3 - (-4)\/(-18). What is the nearest to 3 in a, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/12 - 3*d**3\/2 - d**2\/2 + 143*d. Suppose 4*p - 5*v - 60 = 0, p + 2*v - 5*v = 22. Give q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 10*o**2 + 6 + 4 - 1 + 31*o**3 - 24*o**3. Find the second derivative of a(x) wrt x.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 698.9 and -11.\nAnswer: 687.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8588*f**2. Let a(v) = -1556*v**2. Calculate d(a(u)).\nAnswer: -20792715968*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.8 (b) -72655 (c) -2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -1\/6 (c) -1\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 (base 5) in base 12?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342040.\nAnswer: 2, 5, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g + 70*g - 192 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 62*f - 1235. Let x be w(20). Put -3, 0, x, 3, 362 in ascending order.\nAnswer: -3, 0, 3, x, 362","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -36. Suppose -i*j = -0*j - j. Suppose j = -2*k - m + 24, k - 3*m - 38 = -3*k. Calculate the highest common divisor of 110 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16470 is divided by 1029.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55376201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 16214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -265, -4, 1, -2 in increasing order.\nAnswer: -265, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 879, 922, 993, 1092, 1219, 1374, 1557?\n\"Answer: 14*r**2 + r + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ba (base 15) to base 10.\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3211 (base 5) to base 11.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38351 divided by 437\nAnswer: 38351\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24784771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -240166 (base 10) in base 8?\nAnswer: -725046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 127, 293, 527, 829, 1199, 1637?\nAnswer: 2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3074670 is divided by 942?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 361 or 370?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2280432 litres?\nAnswer: 228.0432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 = -4*m + 50, o - 37 = -4*m. Let z be -1*(2\/6)\/(m\/999). Is (48\/18)\/(4\/(-6)) - z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/29 and -93\/1046.\nAnswer: 30334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -562 - -557. Let x be -1 + (54\/(-20))\/(-3). Let b = -0.1 + 0.22. Put x, b, p in decreasing order.\nAnswer: b, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*a - 24, 20 = m + m + 3*a. Let u be 933\/(-12) - 2\/8. Does 5 divide u\/(-4)*m\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -417333493\/4613 + 90469. Let l = -8776986515419327\/46130 + 190266345457. Let y = l - v. Find the common denominator of y and -25\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 + -19 + (9 - 7) - (-24 + -5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*1 - ((sqrt(1089) - (sqrt(1089) + 1*sqrt(1089)) - sqrt(1089)) + sqrt(1089) + sqrt(9)))\/(6*(sqrt(3) - sqrt(48)) + -1*sqrt(108)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/50*16\/18*(-6075)\/300.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -561 + 817. Suppose 49*v = 45*v + i. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5\/4 (b) 2 (c) -35 (d) 126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37.9? (a) 2\/15 (b) 13\/14 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 16. Let d be f(-12). Let t(m) = -4*m**3 - d - m**2 + 5 - m**2. What is t(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -685, -4505, -14875, -35071, -68369?\nAnswer: -118045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 76) + 33 + (-3 - -1 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104456 to the power of 1\/2, to the nearest integer?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-5 + 10)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4018.985646 to 1 decimal place.\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22\/88)\/((-1)\/18))\/(3 - -3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, c: 5}. Give prob of picking 2 c and 2 i.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/56*-2*161\/138.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 4 - ((-11 - -1) + -11 + 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*26\/42 - (-17)\/51.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 + -113. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*s + 232 = -176*s. Which is smaller: 324\/11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/((-21)\/(-18)))\/2. Suppose -3*o - 2 = v - 3, -3*v + 3 = 2*o. Suppose -5*w + g*w + 10 = o. Let q(a) = a**2 - 6*a + 1. Give q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9996739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*u - 3. Let w = u - 26. Calculate the common denominator of -117\/10 and (w\/(-25) - 1)*-95.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192)*1*5)**2 + -2.\nAnswer: 8*sqrt(3) + 4798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -299\/4. Let q = -2 + w. Factor -1\/4*c + 1\/2 - q*c**2.\nAnswer: -(c - 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 4, 31 in ascending order.\nAnswer: -1.1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 2. Let v(d) = 10*d - 4*d - 5*d. Determine a(l) + 3*v(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -201454261 + 201754300.717. Let x = -300373 + y. Let k = x + 333. Round k to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/3)\/(-51 - -49). Let w(y) be the first derivative of -n*y**3 + 2*y**2 + 0*y - 2. Factor w(x).\nAnswer: -4*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*m = -4*h + 3, 2*h = 6*m + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:07 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -3*l**4\/8 - l**3 + 5*l**2. Let p be c(-5). Suppose -3*g = t - g - p, -3*t = 4*g - 115. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from ooooocoooocioo.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q**2 - 3106*q - 12634. Determine v(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*h - 5*h + 3*h in the form u + f*h and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52066921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 11*w + 1. Let f(y) = y**2 - 8*y + 4. Let a be f(3). Calculate the common denominator of 9\/5 and m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -12d79?\nAnswer: 12d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o - 18 = 3*g, -27 = 2*g - 5*o. Let i = 0.17 - -1.23. Let h = i - 0.4. What is the third smallest value in 2, g, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/5 + 1696*l\/5 - 12117 = 0?\nAnswer: -1731, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 11*i - 382. Let s be x(18). Calculate the highest common factor of s and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14649221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:03 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1544826528 by -6.\nAnswer: 257471088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4546\/5 greater than -2667\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8431 is divided by 211?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2290 - 737 - 751 = -10*l + 692 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 630.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 0, -0.4, -8.5, 4, 3\/17168?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-1)\/m)\/m*m)\/m)**(-26)*(m\/(m\/((m*m**(-2\/3))\/m)))**(-9\/2) assuming m is positive.\nAnswer: m**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**5 + 9*y**5 + 3*y**5 + (6*y**2 - 2*y**2 - 2*y**2)*(3*y + y - 6*y)*(-6*y + 3*y + 2*y)*(3*y + y - 3*y).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/25455600 and 37\/1697040.\nAnswer: 25455600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 2)*(4 - 4 - 2*o) - 15 + 15 + 19*o)*(0 + 1 + 2)*(4*o + 10*o - 5*o).\nAnswer: 675*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbcvdb. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3475 and 1600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-137*t**2 + 185*t**2 - 9 - 156*t**2 + 2*t)*(-3*t + 3*t + 3*t) to z*t**2 + j*t + s*t**3 + v and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {c: 9, j: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*y**2\/7 - 38*y - 250\/7.\nAnswer: -2*(y + 1)*(8*y + 125)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 5*u + 20, -4*u - 10 = -3*u - 2*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -549, -1855, -3921, -6747, -10333?\n\"Answer: -380*t**2 - 166*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let t(w) = -w**2 + 10*w + 58. Let j be t(14). Solve 0 = -2*r - j*h, -2*h - 4 = m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (8 - 1) - (275 - 285) - -7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*l - 2*r, l + 2*r = 2*l + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 - j - 1. Let f be g(-1). Let b = -5 - f. Suppose b*d = 4*d + 4*a - 6, 0 = d + 4*a - 5. Is 0 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0083.\nAnswer: 0.00166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 905890174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 7*p - 5. Let q be g(6). Let w be (-3)\/15 + 571\/5. Let t be 1 - (-2)\/(w\/(-63)). What is the third smallest value in t, -2\/23, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 1:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*6\/12*-1*(-3)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*f + 31. Which is the closest to -15? (a) f (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/60*-5*-15. Sort 5, -9, q in descending order.\nAnswer: 5, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35742 is divided by 527.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 163042.68 and -33820660?\nAnswer: 33983702.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-64)\/(-12))\/2. Let t be 6\/(-2) + -2 + -1 + c. Solve -5*q - t*h = -0*q + 6, 0 = -5*q - 3*h - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**2 + 9*d - 2338. Let r(n) = 3*n - 7. What is t(r(f))?\nAnswer: 99*f**2 - 435*f - 1862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*r + 2*n + 62, -2*r - 126 = -2*n. Let s = 97 + r. Calculate the remainder when 105 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 1. What is m(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 185185.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -86 times 123\nAnswer: -10578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - x = 19, -3 = -x - 7. Let z(t) = -14 - t + c + 2*t. Is z(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -45. Suppose -p + 10 - 3 = r. Suppose p*l = -2*l + 18. Calculate the lowest common multiple of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 39. Let r(x) = x**2 - 7*x + 12. What is the units digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255 - -225.6. Let l = -30.4 - m. Which is the nearest to l? (a) 0.03 (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 942\/22 + 14\/77. Calculate the greatest common divisor of 215 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqqq when four letters picked without replacement from {q: 18, n: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Suppose 0 = 2*d + 2*p - 28, 1 = -5*p - 4. Let f = -145 - -148. Solve 2*g - 3*g + d = -f*z, 0 = 2*z + v*g - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 140\/18 - 8\/(-36). What is the remainder when 21 is divided by (-44)\/6*(-12)\/g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, h: 1, f: 2, c: 1}. What is prob of sequence hof?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b. Let p(i) = 12*i. What is -3*p(s) - 2*r(s)?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*p + 4, 0 = -t + p + 19. Calculate the greatest common factor of 98 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8969 - -547107\/61. Let k = -0.1 + 0.1. What is the fourth smallest value in k, 2, t, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + c + 19. Let f be l(0). Solve -o = 2*o - 5*b + 22, o = 4*b - f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (11 + -28 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 3, c: 3}. What is prob of picking 2 q and 1 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-22)\/(-880))\/((-1)\/(-12))*(-350)\/(-21).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.17 - 21.17. Which is bigger: -20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302932 - 302932 - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.94649481 or 1?\nAnswer: -0.94649481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19486 divided by -2\nAnswer: 9743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/7893, -7 in descending order.\nAnswer: 0.2, 2\/7893, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -203063670 minus 0.1?\nAnswer: -203063670.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/5 + 687*j\/5 - 686\/5 = 0. Calculate j.\nAnswer: 1, 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 2. Suppose 3*a = 3*p - 24, -3*p + a + a = -x. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.9, -0.4, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*d + d + 30, -4*w - 3*d + 35 = 0. Let n(t) = 148*t. Let f(l) = 667*l. Let h(v) = w*f(v) - 23*n(v). Let x(i) = 2*i**2. Calculate x(h(m)).\nAnswer: 9522*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 2:23 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1126 + -1122. Solve 3*i - 4 = -2*g, -x*g = i + 2*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.1 + 3.7. Let s = r + 1.4. Which is the smallest value? (a) 5 (b) 2\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 + 10*y - 3. Let o(h) = -3*h**3 + 9*h - 2. What is -2*l(s) + 3*o(s)?\nAnswer: -s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4 + 40*u**3 + 612*u**2 + 2120*u + 1550 = 0. What is u?\nAnswer: -5, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10842, 10841, 10840, 10839?\n\"Answer: -i + 10843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896 and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 6, 1293\/4, -3, -5?\nAnswer: 1293\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 12020211?\nAnswer: 12020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 51*p**2 + 306*p + 3. What is j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (sqrt(72) - (-2 + sqrt(72) + -4)**2)*4 + 4 + -1 + (-3*sqrt(72)*-5)**2.\nAnswer: 312*sqrt(2) + 15779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.01046 (b) 1342 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15)*3)\/(((-6)\/9)\/((-104)\/4))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1633657.57875.\nAnswer: -1633658.57875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {j: 2, i: 2, h: 2, l: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 8, -8, 0.3, 59, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 - (1191\/(-6) - 3). Let l = 306 - f. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5 + 3396*a**4 + 47968*a**3 - 54756*a**2 - 47966*a + 51360 = 0.\nAnswer: -15, -1, 1, 1712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 35*o - 12 = 0, -291*o = -294*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18903 and 24?\nAnswer: 151224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s**2 + 4*s + 15. Let h(p) = 5*p**2 + p + 5. Let b(z) = 11*h(z) - 4*o(z). Give b(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26037092.\nAnswer: 2, 6509273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107 + 1150743?\nAnswer: 1150635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9*p = -2285. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-60)*250\/(-100).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0098305 rounded to four decimal places?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 + 2055860*p**3 + 18502524*p**2 + 55507356*p + 55507248 = 0. What is p?\nAnswer: -513956, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -2 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 753859 (base 11) in base 9?\nAnswer: 2236671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5)\/(u\/u**15)*((u\/(u\/(u\/u**(-2\/3))))\/u)**12 assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216289074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 497659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -3\/4 (c) 158 (d) -0.1 (e) 3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888378006.\nAnswer: 2, 3, 727, 203663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -226 in -2\/3, -865, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1161, -1341, -1597, -1935, -2361, -2881?\n\"Answer: -u**3 - 32*u**2 - 77*u - 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -600*c**2 + 3595*c + 102. What is l(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 2, r: 4, u: 4, n: 2, l: 6}. Give prob of picking 2 l.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.02 - -12005.088644?\nAnswer: 12158.108644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - g - 5)*(3*g - 4*g - 2*g) + 0*g**2 + 0*g**2 + g**2.\nAnswer: 4*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let d(k) = -23*k - 240 + 240. What is y(d(n))?\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -8052395.\nAnswer: -563667.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcc when three letters picked without replacement from pcpppppppppppppcpp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 + -139. What are the prime factors of f + (-795)\/(-5 - 0)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((7 + -5)\/(-2))\/((-1)\/2). Suppose 2*s = -5*l + 23, 4*l - 2*l + x*s - 8 = 0. Solve 6 = -l*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1706*x + 1713*x - 427. Suppose 5*i - 1662 = 2*i. Calculate the remainder when x is divided by 4\/18 + i\/18.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2961*w + 3017*w = -112 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1135, -1155, -1177, -1201?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (0 - -54)*(-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/67944 and 67\/78?\nAnswer: 883272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*1035\/(-92).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 + 33?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62722886 to the nearest integer?\nAnswer: 7920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 472559.0094 - 472604. Let z = -119 - -74. Let u = h - z. Round u to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/90 - 1\/90. Let v = 0.1 + 0.9. Let o = -1.1 + v. Which is the nearest to o? (a) 1\/4 (b) d (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -248, -404, -524, -590, -584, -488, -284?\n\"Answer: 3*f**3 - 177*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1480456676 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2910310\/471 + 6179. Let s = -625\/1413 + a. Let t(g) = g**2 - 8*g + 6. Let z be t(7). Are s and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -17*z**6\/180 - 17*z**4\/24 + 2*z**3\/3 + 37. Let r(f) be the third derivative of a(f). Differentiate r(k) wrt k.\nAnswer: -68*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + 610?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 402, 707, 1300, 2277, 3734?\nAnswer: 5767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 588 = 3*o. Let w = o + 245. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -547.7 - -68.7. Let p = -463 - h. Which is the biggest value? (a) 10 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 831, 948, 1141, 1410, 1755, 2176?\nAnswer: 2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -70 + 4 + -5\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -42*((-5)\/5)\/1 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*a = 32, s + 7*a + 44 = 3*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 959?\nAnswer: 959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(2*i**3 - 5*i**3 + 5*i**3) + (-i**2 + i**2 + 2*i**2)*(4 - 4 - 2*i) + 4*i**3 + 2*i**3 - 4*i**3 - 4*i**3 - 3*i**3 - 10*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 12, r + 3*r = 5*v - 9. Solve -1 = -v*s - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*j - 10, -4*a + 4 = 4*j - 0. Solve -a*l - 7*u = -2*u - 30, -3*u = -l + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14630)\/(-19)*(-510)\/5610?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m, 4*m - 25 + 6 = -5*f. Suppose -2*z + f*a = 4 - 16, 3*z + a = -4. Solve -5*u - 5*k - 12 = 8, 2*u - 3*k - 2 = z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (59 + -129 - -30)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -81\/542 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17679344, 35358673, 53038000, 70717325, 88396648, 106075969?\n\"Answer: -l**2 + 17679332*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -18*g + 28*g + 50, -20 = 3*w + 4*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - p + 1. Let f be z(1). Suppose 3 + 63 = f*t. Suppose 3*y - 52*a = -49*a + 18, y + a = 4. What is the least common multiple of t and y?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6*k - 33. Let i be h(0). Let q be ((-11)\/i)\/(3\/90). Suppose -8*c = -3*c - 125. What is the greatest common factor of c and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, -2\/13, -4, 6.6788?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -87, -199, -419, -783, -1327?\nAnswer: -2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -24, 0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36\/66 - (-398)\/(-44) - -8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + (sqrt(17) + 0)**2*-6 + (sqrt(1700) - (0 + sqrt(1700)) - sqrt(1700))**2)*-2*-4.\nAnswer: -12784 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793197?\nAnswer: 3, 31, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12622 + -4?\nAnswer: 12616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.11 and 8608607.07703.\nAnswer: 8608607.18703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.042, 5, 2, -41919 in ascending order.\nAnswer: -41919, -0.042, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148293 - 599696869\/4044. Calculate the common denominator of h and 37\/40.\nAnswer: 40440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5112.238 meters?\nAnswer: 5112238000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34378 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5066810 and 24754986.\nAnswer: 866424510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 38*c - 41*c - 7, 6*c + 46 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -50 - 33) + -7. What is w in -h + 22\/3*w**2 + w**3 - 47\/3*w = 0?\nAnswer: -9, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427849592?\nAnswer: 2, 59, 906461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 12:51 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 690 - 1153. Let i = t - -1410. List the prime factors of i.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Suppose 2*y - j*h = 13, 3*h - 20 = -3*y + 31. Does 11 divide 4\/y - (-766)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2657 + 5292 - 47*u - 2641. Let f(a) = 1. What is 6*f(i) + o(i)?\nAnswer: -47*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/12 + 4*i**3\/3 + 2*i**2. Let g be t(-3). What is the smallest common multiple of ((-7)\/g)\/((-2)\/16) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-79)\/(-4) - 2\/(-8). Suppose 5*b = -2*z + 14, -6*b + v = -b + 5*z. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 p, and 1 v when four letters picked without replacement from vbpvbvpvbbvbv.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/268172 and 109\/10056450.\nAnswer: 20112900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.4664 plus -1574.35?\nAnswer: -1745.8164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -131*l**4\/24 + 23*l**3\/6 + 23*l**2 + 2. Let f be z(1). Which is bigger: f or -110?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29801 - 15*m - 29801.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66\/10 + (-135)\/(-25) + -6. Put 3, -9, u, 1 in increasing order.\nAnswer: -9, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1798, 3551, 5308, 7069, 8834, 10603, 12376?\nAnswer: 14153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*l = -l + 249, 4*l = -4*i + 980. Suppose 2*a = -2*g - 3*a + i, g + 5*a = 118. Suppose g = 3*d + 4*j, -4*d + 166 = j + 4. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -74688*i**2 + 9*i + 4. Let l be c(7). Let v = -783442 - l. Suppose 0 = -4*t + v + 2083797. Round t to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228)*-1 + sqrt(228))*5*6)\/((-5*(sqrt(108) - (sqrt(108) + 2*sqrt(108) - sqrt(108))) + sqrt(108) - sqrt(108))\/(sqrt(9)*1*5 + sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44476.037 + 44501. Let r = 25 - c. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3073)\/2195 - (-48)\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 102, 221, 388, 603, 866?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-30))\/((-4000)\/(-10000)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11046)\/4*3330\/(-1295)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*a - 436, 3*h = 8*h - 2*a - 2158. Let c(n) = 12*n + 15. Let j be c(17). What is the hundreds digit of (-4)\/(-2 + h\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87138*g**2 + 199*g - 199*g + 87135*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 24 = -2*l. What is the tens digit of (l\/(-24))\/((-1)\/(-38))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65049170 to the power of 1\/2, to the nearest integer?\nAnswer: 8065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 + 1 + 0 + 6*p**4 - 2*p**2 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 334 - 198. Solve 28*o - 49 - 185 - 2*o**2 + m = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/3)\/((-4)\/(-9014)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 + 5*r**2 + 0*r**2)*(-3*r**2 + 0*r**2 + 5*r**2 - 2*r**2 - r**2 + 5*r**2 + (-826*r + 327*r - 713*r)*(-4*r + r + 2*r)).\nAnswer: 10944*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95920\/13 or 7379?\nAnswer: 7379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189367 or 21\/2?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(22\/(-3))*((-335384)\/(-339))\/(-212)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 78*a - 1076. Let t be c(18). Suppose -3*o + 6 + 9 = 0. What is the closest to -31 in t, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/80 and 91\/367334.\nAnswer: 14693360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 + 65*m**2 - 346*m + 8092. Give r(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133120 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w - 4. Let s = w + 11. What is the tens digit of s + (2 - (1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 18. Solve -z = -4*i - 5*d, -1 = i - 3*d + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-168))\/(1\/10). Suppose 1\/4 + 7\/4*s**2 - k*s + s**5 - 2*s**4 + 1\/4*s**3 = 0. Calculate s.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*504\/(-189)*(2\/(-2))\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 3. Determine m(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14560\/10)\/16*(-4)\/(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:14 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 3*j**2 + 3*j**2)*(3 + 2 - 4 + (-3 + 1 + 1)*(0 + 0 + 1) - 1 + 2 + 0) + (-4 + 4 - 2*j)*(-1 + 1 + 2*j) - 4*j**2 + 5*j**2 - 3*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.14169*-5\nAnswer: 0.70845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/5)\/((63\/(-84))\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/18 and -41\/1636?\nAnswer: 14724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/60*(-6)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-465)\/(-310)*5\/(5\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v + 60. What is the units digit of q(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -52*v + 129 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2417, 1208, -89, -1474?\nAnswer: -2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 846508.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 + 608*t**2 + 828*t + 208.\nAnswer: -4*(t - 52)*(t + 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*s - 21*s = 7274708. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -99317\/5, 5, -12\/247 in increasing order.\nAnswer: -99317\/5, -12\/247, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6. Let n be q(0). Let j = n - 5. What is the units digit of 0 + -1 + j + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 17. Let r be (-80)\/(-14) - 2\/(-7). Let m be r\/4*(-3)\/6. Do m and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 - (17 + -10)) - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = 5*d - 21, -3*c - 3 = 0. Suppose 0 = -d*p + 2*z + 1, 3*p - z - 1 = -0*p. What is the remainder when 2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2088*q + 145. Let b(v) = 29*v + 2. Determine 2*a(u) - 145*b(u).\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - 0.85. Let s = q + 5.8. Which is the closest to -0.1? (a) s (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(5 + -4)*263\/1.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121201 (base 3) in base 10?\nAnswer: -2638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 279*a - 276*a, 0 = -4*x + a + 144. Solve 10*h - 3*h - x = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*3*((sqrt(275) - (sqrt(275) + 2)) + 2 + sqrt(275)*2 + 5))**2 + 0)*5.\nAnswer: 162000*sqrt(11) + 1822500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p - 3. Let w(b) = -3*b - 4*b + 3*b + 5 - 2*b - b**2. Let q = 7 + -14. Let g be w(q). Calculate f(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-3 + (sqrt(10)\/sqrt(5))**2*-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 111 = 12. Solve 3*h - q = 0, -4*a - 8*h = -3*h - 23 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2449*r + 298. List the prime factors of u(4).\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let l(t) be the third derivative of t**2 + 0*t - 3\/4*t**4 + 0 + 0*t**3. Give l(s(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6408*c - 1388*c - 1694*c - 863590 = 0 for c.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/5)*b**4*(b**(-1\/13)*b)\/b**2 assuming b is positive.\nAnswer: b**(177\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-23))**7*q**(1\/30)*(((q\/q**(-27)*q*q)\/q)\/q)\/q)**(4\/15) assuming q is positive.\nAnswer: q**(-8038\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*u - 24, 6*z + 4*u = 7*z - 8. Let n be 7\/14 - z\/(8832\/(-558)). Is 1 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, 65, 39, -5, -73, -171, -305, -481?\n\"Answer: -v**3 - 7*v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-5))\/(5\/(15\/(-6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204.9898462146 + 0.023.\nAnswer: 205.0128462146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4478, 8969, 13474, 17993, 22526, 27073?\nAnswer: 31634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/4 + 3*d**3 - 17*d**2\/2 + 3*d. Let f(q) = -2*q**2 - 9*q + 8. Let b(u) = -5*f(u) - 3*l(u). Is b(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:47 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - c - 33, 5*i + 3*c - 41 = 0. Suppose 0 = -i*q + 4*q + 768. Find the common denominator of 49\/16 and (104\/q)\/((-2)\/20).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or -0.075?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z = 385. Let w(r) = -r**3 - 60*r**2 + 126*r + 135. Let d be w(-62). Calculate the highest common factor of d and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-630)\/(-60))\/((-1)\/(-228)). What is the highest common divisor of 252 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4386, 17585, 39608, 70455, 110126?\n\"Answer: 4412*b**2 - 37*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13235.\nAnswer: 5, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnggsgngnnonng. What is prob of picking 1 s, 2 n, and 1 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000149682 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 160 + 90124*i**2 + 80.\nAnswer: 90124*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.23524.\nAnswer: 0.70572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 93*c**2 + 93*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3330 - 3326. Solve 3*j = 2*j + 5, x - 19 = -u*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -3, -8, 4, -136, -1 in decreasing order.\nAnswer: 4, 1, -1, -2, -3, -8, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723.7 rounded to the nearest 10?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. What is the smallest value in -0.2, h, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/132 + (-172)\/(-22). What is the common denominator of -3 + 2 - 61\/f and -1 - (1 - (-82)\/(-18))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.926023 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3392\/31906)\/(-8))\/((-2)\/(-7)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0*k**3 + 7\/6*k**4 + 0*k + 0 + 25*k**2. Let f(d) = -4*d. Determine f(b(u)).\nAnswer: -112*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + 1 + 5239\/527?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 88 - (5 - (-25 + 11))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - j. Let m(f) = 7*f**3 + 8*f - 5. Determine m(i) + 6*z(i).\nAnswer: i**3 - 6*i**2 + 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -30. Let j be (-1 - -1)*12\/f. Let u(r) = -r + 3. Calculate the remainder when u(j) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -19*o. Let j(f) = -19*f**2 + 39*f + 32. Calculate s(j(k)).\nAnswer: 361*k**2 - 741*k - 608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -74.901. Let o = -0.0852 - n. Round o to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 = -32*b + 211 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351 + 356.11. Let o = q - 0.11. Sort -1, 1\/6, o in increasing order.\nAnswer: -1, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/3 + 23*k**4\/36 - k**3\/18 - k**2\/3 - 26*k. Let w(q) = 0. Calculate q.\nAnswer: -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f - 1. Let p be v(1). Suppose -16*i = -0*i - 32. Let w be ((-6)\/i)\/(p*1). Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltrtrtrtrrrtrrttlrt. What is prob of picking 2 t and 1 l?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(4\/7)\/o)\/o))\/(o\/o**6)*o**(5\/6)*o**(-2\/3)*o*(o**(-3\/8)\/(o**(-4\/7)\/o))\/(o**0*o)**(-6\/5) assuming o is positive.\nAnswer: o**(1199\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-15))\/(2\/18). Let d(v) = 264*v**3 - 3*v**2 - v + 2. Let p be d(k). What is p rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -223082879\nAnswer: 223082878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4041931*g**3*z**4 + 2*g**3 + g**2*z - 3*g**2 - 22*g*z - 420*g - 5*z**4 + 1 wrt z.\nAnswer: 48503172*g**3*z**2 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41285, 82225, 123165?\nAnswer: 164105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 52\/12)*(-1 + 40\/30)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 941613822 to the nearest integer?\nAnswer: 30686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = -6*t - 46. Let r be 10*1*((-21)\/2 - -4). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76.5 + -76.5361. What is j rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + 20*f - 29. Let o(j) = j**2 - 2*j + 1. Determine -4*o(b) - u(b).\nAnswer: -b**2 - 12*b + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316310.\nAnswer: 2, 5, 47, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 - 2*f - 10. Calculate the remainder when v(6) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71.5 - 61. Round v to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -4*a**5\/5 - 3*a**2\/2 - 1. What is the second derivative of d(l) wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*i + i**3 + 7 - 4*i**3 as g*i**2 + l*i**3 + q + j*i and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6978 divided by -6.\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1745, 1770, 1795?\n\"Answer: 25*o + 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111770 is divided by 18626?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 4*d + 6, -3*k = 2*k - d + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53298803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3247 is divided by 780.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 47, 68, 89?\n\"Answer: 21*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Let d = u + 11. Let t = d - 15.51. Round t to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21505110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -5*j**3\/6 + j**2 + 4*j. Does 10 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104085 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/3 + 21. Let g be (-6)\/4*(-6)\/3. Let k(l) = 4*l + g*l - 4*l - 5*l. Give k(x(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 25*p**4 + 37530*p**3 + 82480*p**2 + 52470*p + 7495 = 0.\nAnswer: -1499, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15415*u + 15426*u - 23 - 32 = 0. Suppose 0 = 2*p - 0*p - 4*h + 10, 10 = -p + 3*h. Which is the closest to p? (a) u (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3191\/10 - 319. What is the closest to 10 in 3, o, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 + 6*u + 6*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (199 - 429 - 359)*(-2*p**2 - 4*p + 4*p)*(7*p + p - 4*p) to the form i*p**2 + u + a*p + x*p**3 and give x.\nAnswer: 4712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11545048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.3 - -57.3. Let v be (-64)\/24*(2\/(-8) - 0). What is the nearest to v in 0, 3, a, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**3 + 23*p**2 - 15*p - 19. Let c(d) = d**3 + 6*d**2 - 4*d - 5. Let v(k) = -9*c(k) + 2*g(k). Let y be v(7). Solve -5*z = -y - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 + -164.1. Let s = 16 + w. Let t = 6071\/17 + -357. Which is the closest to -0.1? (a) s (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(38931*c**2 + 3 + 192*c + 38933*c**2 - 77863*c**2).\nAnswer: -c**2 - 192*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 935.3 and 173?\nAnswer: 161806.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*w = 118*w + 441. What is the second derivative of w*r + 681*r**2 - 376*r**2 - 16*r wrt r?\nAnswer: 610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 552 - 212?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3567904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 11010110?\nAnswer: 11100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*b**2 + 70*b**2 - 76*b**2.\nAnswer: -202*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 67, -58 in decreasing order.\nAnswer: 67, -43, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240106*o**5 - 70*o**4 - 17882342*o**2 wrt o?\nAnswer: -14406360*o**2 - 1680*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/30*10 + 52\/(4 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 165\/12 + 1\/(-4) and -73\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 3*p**2 + 2*p**2)*(3*p**3 - 4*p**3 + 3*p**3)*(-1 + 5 - 1).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6274*u - 6419*u + 19199*u - 6481*u.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**5 + u + 8*u**5 + 2*u**5 + (0*u + u**4 + 0*u)*(4 - 4 + u).\nAnswer: 5*u**5 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/4 + 7*f**3\/3 + 3*f - 11. Let t be o(7). Suppose 0 = -4*c, -4*g = -0*g - t*c - 248. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*((-2*sqrt(364))\/sqrt(7) - sqrt(572)\/sqrt(275)).\nAnswer: 1 + 88*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.68? (a) -2 (b) 2\/11 (c) 5 (d) -13 (e) 172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 372594615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 2. Let n be i(-2). Suppose n = 3*f - 2*f - 4. Sort -3, f, -5 in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 + (8 - (0 - -5)). Suppose -60 = -0*y - 3*y. What is the highest common factor of y and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 24, 2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - -17. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (1 - (8 + -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71.998 - 72. Round j to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:07 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q + 69*q - 4 = 2*i, 4*i - 2*q - 8 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 - 374571*m\/5 - 749146\/5.\nAnswer: (m - 374573)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) + 729\/45 + 3. What is the greatest common divisor of 779 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooll when four letters picked without replacement from {l: 5, o: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56 and 2.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 125\/5)*1. Suppose -2*b - 4*y = -y - s, 2*y + 4 = 0. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282086331?\nAnswer: 17, 75416843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.245 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 227347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {a: 2, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14260, 14257, 14252, 14245, 14236, 14225?\nAnswer: 14212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 651 and 1116.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 1. Let j be (0\/3 + 0)\/1. Let z(m) = -5 + 5*m + m**2 + j - 3*m**2. Let q(i) = -5*w(i) - z(i). Let o(n) = n**2. Calculate o(q(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*n = 6*a - 40, 32 = 4*a + 3*n. What is the smallest common multiple of a and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:51 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**7\/525 + c**6\/150 - c**5\/50 - c**4\/15 + 4*c**3\/15 - 3*c**2\/2 - 2. Let l(v) be the second derivative of j(v). Factor l(x).\nAnswer: 2*(x - 1)**2*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 + 182. Let z = -3 + 2. Which is the closest to z? (a) p (b) 1\/6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*s + 19*s + 36 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:43 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.36789 to one decimal place.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414510 + -1?\nAnswer: 414505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from ohffgofgffogfthghtht?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -127626804 divided by -8?\nAnswer: 31906701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgncc. Give prob of picking 1 n and 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.125813997 to 3 decimal places.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4369590618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13869800191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497700 and 790.\nAnswer: 497700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -30 - 18. Let u(w) = -w - 6. Let c be u(-6). Solve c = 4*z - 4*p - l, 3*z + z + 3*p = 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (11 - (6 - -21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11647394 and 233541?\nAnswer: 3707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + g + 0 + 2*g - 5*g + g + (-7*g + 2*g + 3*g)*(-4 + 3 + 3) + 3*g - 4*g + 2*g)*(-14 + 9 + 35) in the form k + n*g and give n.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -7*r**2\/2 - 2*r + 6. Does 12 divide a(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5 + 2 - 3*h - 2 + 1. List the prime factors of s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/((-2)\/24). Suppose -5*v - a + 2 = 0, -5*v + 6 = -z*a + 14. Suppose -g + 3*b + 36 = v, -5*g = 2*b - 65 - 183. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 6:57 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + (-66)\/(-4) + -4. Suppose -5*n = w - 57. What is the remainder when 50 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-70)\/(-4))\/7*2. Suppose t = -y + 1, n + y + 1 = 0. Suppose 0 = 4*k - 9 - n. Is k greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3\/4 - 729385*g**2\/2 + 26626726480*g - 3879732170920 = 0. What is g?\nAnswer: 146, 145804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udkumuddml. Give prob of sequence umu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43.3397 + 4.4689. Let d = a + 0.0914. Let l = d + -48. What is the closest to l in 0.5, 0.4, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21617 + -56?\nAnswer: 21561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o - 56. Let h be t(11). Suppose 0 = -c - 3*d + h + 104, -160 = -c + 5*d. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160 + 18*o**2 - 9*o**3 - 26*o**2 + 9*o**3 + 4*o**3 - 172*o.\nAnswer: 4*(o - 8)*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*a + 48793 = 47623 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-126944)\/(-960))\/((-1796)\/6) + (-22)\/(-55) and 47\/20.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*w - 3 - 8, 2*a + 2*w = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = 5*c + 138 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1386*x - 122573 - 85327 for x.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -10. Let z be (u - 1)\/(-4) + 3. Suppose 1 = -z*w + 4. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 164331115 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 32. Let c be 2*(1 - -1 - 0). Suppose -3*i = 3*x + i - 18, 5*i = c*x + 7. Solve a + x*o = -3 + s, -3*a - 5*o = -6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28012 and 184428?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 70*d**2 - 52*d**2 - 59 + 36 + 25*d + d**3. Let h be c(-17). Round h to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -89*s**5\/20 + s**4\/12 - s**3\/3 - 2*s. Let l be y(3). What is l rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 + 3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t + 794 = -707 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/15)*z*(z\/z**7)\/z*z assuming z is positive.\nAnswer: z**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - 129285\/(0 - -3). Round y to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 0*y**2 - 42263605*y**3 + 42263420*y**3.\nAnswer: -185*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 223 - 57. Let u(d) = d**3 - d**2 + d + 16. Calculate the smallest common multiple of b and u(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (46 - 81) - 77.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(6\/(-2)) - 7) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222 - 195. Let b be 7\/((-63)\/(-2)) - 6\/r. Solve 5*t - 7 - 13 = b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2683656 to the nearest integer?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -101 times -5\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4*(-9)\/27)\/(1\/28)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + (sqrt(117) - (sqrt(117) + 3 + sqrt(117)*4 + sqrt(117))**2 - sqrt(117)).\nAnswer: -4221 - 105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b**3 + 15*b + 3. Let u be s(7). Suppose -u = -2*a - 355. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 + 75*z + 152. Give l(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/6)\/((-1365)\/546)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - w + 13 = 0, -g - 2 = -w + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001718531 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 18*c - 69. Give w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/6 + 3*x**2 - x. Let b(f) = -f**3 + 11*f**2 - 10*f - 1. Let w be b(10). Let q be w*(6\/1 + -1). Give v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 (base 6) in base 5?\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32843 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - 2*c + 5*t - 35, 28 = 3*c - 6*c - 13*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b + 5*x - 27, x + 4 = b. Calculate the least common multiple of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.407892mg to kilograms.\nAnswer: 0.000004407892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 - 13*a**5 + 2*a**5 + (a**4 - a**4 - 2*a**4)*(-a + a + a) + 75537 - 75537 - 75*a**5.\nAnswer: -87*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-5))\/4*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839450000 = 150*b - 50*b. What is b rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*x + 49 - 21 + 63 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 - -544?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppff. What is prob of picking 1 f and 3 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 2, 5 in decreasing order.\nAnswer: 19, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {k: 5, c: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + 3.95. Let s = l - 5. Which is the biggest value? (a) -4 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r + 85475 + 370*r - 85475.\nAnswer: 424*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 3*c + 1. Let r be y(3). Is (r\/(-2))\/(17\/(-18394)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4617 - 101627\/22. Calculate the common denominator of j and -71\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*a**2 + 3*a**2 + 5*a**3 + 4*a**5 + 4*a**4 - 9*a**3.\nAnswer: 4*a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -23 - (2 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1860 (b) -0.2 (c) 5 (d) -13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*d + 112*d - 990 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 159195 = 5*u, -641*g + 106108 = -639*g - 4*u. What is the highest common divisor of 140 and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -104. Suppose 0 = -3*o - 10 + 16. What is the remainder when h is divided by -2 + o + 156\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 780 + -784. Let u = 27 - 6. Let h be 70\/u + t\/(-6) - -1. Solve -m + 3*q = 5*q + 12, h*m + 2*q = -28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 7*r - 12. Let j be u(-3). Suppose -h = -5*h + 40. Let q(i) = i + 4. Let w be q(h). Solve -5*x = -4*c - 28, 0 = -j*c + c + 4*x - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n - 7. Let h be p(4). Which is greater: h or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 4*k. Let z be m(-3). Is -3 + z\/12 + (-486)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13153 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 47 = -i, c + i - 4 = -11. Let v = -15 - c. List the prime factors of (-10)\/v - (-3 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26649 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369*o - 36 = 1363*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253\/80 + -178\/55. What is the common denominator of h and 41\/4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -2. Let j = -0.3 - 3.7. Which is the smallest value? (a) j (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(48) + -2 + sqrt(15)\/sqrt(5) + -3 + (-4 + sqrt(3)*-2 - -1*1*sqrt(3))*-6.\nAnswer: 19 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/18 + (-5)\/(-15))*0. Suppose -11 = 5*z - x, k = -23*z + 19*z - 3*x - 5. Put 1, z, -8 in descending order.\nAnswer: 1, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 15*z**2 + 0*z - 4\/15*z**5 + 5\/3*z**3 + 1\/12*z**4 + 4\/15*z**6 + 0. Let k(s) be the first derivative of b(s). Factor k(p).\nAnswer: 2*(4*p - 1)*(12*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = 2. Suppose -2*q + 1 = -3*b, -4*b + 0*q + 4*q = o. Suppose 0 = 2*u - 3*u - 5*m + 4, -m - 60 = -b*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12547, 25096, 37643, 50188, 62731?\n\"Answer: -j**2 + 12552*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 - 10 + 2*s**2 + 12.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 11*h**2 - 17*h + 21. Let y be n(-9). Calculate the greatest common factor of 30 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 37 + 48)*(-3*v + 1 - 1)*(-5*v**2 + 3*v**2 + v**2).\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 3 - 3) + 1 - 4) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -10*n - 3*s - 432, -720 = 5*n + 3*s. Which is smaller: n or -138?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -728, -1470, -2226, -3002, -3804?\n\"Answer: -i**3 - i**2 - 732*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/105)\/((-4)\/308*-253))\/((-6)\/5)?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -383\nAnswer: 4\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*n + 6. Suppose 0*j - j - 38 = -5*u, -6 = -n*u - 5*j. Let p(f) = -u*f + f + 7*f. Let s(d) = 4*d. What is s(p(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2193 and 3612?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 565*u**3 + 1650*u**2 + 20*u - 2200.\nAnswer: 5*(u - 110)*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94*c**4*q*x + 149915*c*q*x**2 - 244*q + 136851*x**2 wrt c?\nAnswer: 376*c**3*q*x + 149915*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c = 16*c - 153507 - 280773. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660, -1025, -2024, -3975, -7196?\nAnswer: -12005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, -577, -586, -499, -310?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 4:59 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-521.4228\nAnswer: -417.13824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 316820 and 12.\nAnswer: 950460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -678 (base 15) to base 7\nAnswer: -4160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 11:44 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4442 - 32728?\nAnswer: -37271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4, 5*u = 3*u + d + 36274590. Suppose 3*r - u = 15762704. Round r to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -223915, -223992, -224069, -224146, -224223?\n\"Answer: -77*v - 223838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11921093*y**5 + 300387720*y**2 wrt y?\nAnswer: -715265580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*x + 913*x + 48 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-2))\/(2\/(-4)). Let b = x + 9. Suppose -5*f = p + 16, -b*p - 2 = -f - 1. Is p smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 9*r - 3 = -8*r, -3*r = 2*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a40c + -5?\nAnswer: -a414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 6. Let n be -8 + -1 + (0 - -3). Let p be h(n). Factor 2*z - 5 - 2*z**3 + 2*z**2 + p*z + 3.\nAnswer: -2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -543 - -877. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 90*t**2 - 5408*t - 1038. Let g(y) = -77*y**2 + 5407*y + 1038. Let m(f) = -6*a(f) - 7*g(f). What is the derivative of m(z) wrt z?\nAnswer: -2*z - 5401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - c + 14 = -5*c, -4*c - 66 = -23*w. Factor -183\/8*v**w + 3\/4 + 177\/8*v.\nAnswer: -3*(v - 1)*(61*v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = g + 52, n - 2*g + 0*g - 14 = 0. Let f be -15*(-10)\/n + 4. Solve f*b = 16*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.51 (c) -13 (d) -164 (e) 2\/13 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*c + w, -5 - 1 = -2*w. Solve n - 9 = -c*p, -7*p = -3*p - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j*k*u**2 + 8*j*k*u + 165*j*k - 2*j*u**2 - 2*j - 11*k*u**2 + 224*k*u - 11397*u**2 wrt u.\nAnswer: -6*j*k - 4*j - 22*k - 22794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 67. Solve k*i - 1 = 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97910*g**2*z**2 + 59544*g*z**2 wrt g.\nAnswer: -195820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 766 - 766. Solve 8*h + 3 + 13 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 4 = -12*j. Find the third derivative of -19*c**6 - 8*c**6 + 3*c**j + 29*c**2 wrt c.\nAnswer: -3240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let y(p) = -2*p**2 + 1. Suppose -3*s - 71 = x + x, -2*s - 50 = 2*x. Let t = s + 23. Calculate t*y(g) - 7*l(g).\nAnswer: 3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/30*5\/(-3). Let y = 2.1 - 1.9. What is the third smallest value in 1, m, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 56*m**3 + 13*m**2 - 22*m + 2877. Let s(b) = -28*b**3 - 6*b**2 + 12*b - 1439. Let f(h) = 6*n(h) + 13*s(h). What is the derivative of f(r) wrt r?\nAnswer: -84*r**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k = 50. What is the remainder when 33 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115357196 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52664.07 decades in millennia?\nAnswer: 526.6407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 + 8 = 0. Suppose s + l*s = 92. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h**3 - 5 - 3*h**2 - 8*h + 3*h**2 + 27*h**3 to the form x*h + g*h**3 + v*h**2 + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b + 129 = -69 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*h = -134, 0 = -2*b - b - 4*h + 74. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 29586788?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7))**(-42)*(a**(-2\/3))**(-39))\/(a**4\/((a*a**(-6))\/a)*(a**1*a)**38) assuming a is positive.\nAnswer: a**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l - 550 = 0. What is the highest common factor of l and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222122 (base 3) to base 11.\nAnswer: -3910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 2220*p**2 - 24272*p + 299. Give f(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -360 + 717. What is the greatest common divisor of y and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5 + 3 + 4*m + 6 - 7*m + m**2. Let x be c(7). What are the prime factors of x\/4 - (-4 - -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) 2\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -12 (b) -1\/7 (c) -9 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.737 - 11.737. Is g < -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 20, 9 = s + t + t. Let h = 229 + -226. Sort h, -21, s in increasing order.\nAnswer: -21, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2354*f**2 + 1177*f**2 + 2*f**3 - f**3 + 1177*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 599*n - 522 - 4*n**2 + 1018 - 494 to w*n**2 + j*n + f and give j.\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiwwiiwwiwiw. Give prob of sequence wiwi.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5185468.838 rounded to the nearest one thousand?\nAnswer: 5185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 92\/5, 2, 2\/9, 1, 2\/13, -2\/155?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135.4 - -74.2. Let y = m - 210. What is the third biggest value in -0.1, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -6, 1.6, -14\/9 in increasing order.\nAnswer: -6, -14\/9, 1, 1.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 10 = -2*h. Let s = -1 - h. Solve 6 = s*z + 3*y, -3*y + 2 = -2*z - 2*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 136, 196, 256, 316?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 45*l**2 - l**3 + 45*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -72222*j + 72239*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10282*i + 10587*i = 7320 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -27*o + 15. Let i(m) be the third derivative of -7*m**4\/24 + 2*m**3\/3 + 69*m**2. Calculate -4*a(b) + 15*i(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1576871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -g + 2*g + 6, 3*b = 4*g + 4. Solve g*w + 4 = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.130593 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 12162*d**3 + 24554070*d**2 + 16465913766*d.\nAnswer: 2*d*(d + 1899)**2*(d + 2283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnyyyyyynyynyz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - -0.38. Which is the nearest to f? (a) 1\/2 (b) 0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 10. Let q be b(-11). Let d be (-1 + 1)*1\/q. Suppose d = -4*c + 4*l + 352, -c + 0*l = -5*l - 88. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n - 10. Let h be c(14). Let s be (-22)\/(-6) + -6*6\/h. Suppose 3*o - 4*b = 133, 5*o - 250 = 5*b - s*b. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kttktk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 9. Solve v*d**3 + 4*d**4 - 4*d**3 + 6*d**3 - 6*d**5 + 2*d**5 = 0 for d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 8*a - 180.\nAnswer: (a - 10)*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**3*h*p - 58*a**3*p**2 - a**3*p - a**2*p - 52*a**2 - 3*a*h*p + 168814*a*p**2 + 75*a*p - 13*h*p**2 + 15*h*p wrt p.\nAnswer: -116*a**3 + 337628*a - 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -286*i + 288*i + 5*y, i - 40 = 4*y. Solve 64 = i*r - 4*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635622, 635625, 635630, 635637, 635646?\nAnswer: 635657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174*20.5.\nAnswer: -3567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-8 + 0)) + (-61962)\/2970. Let d = i + 26\/99. Which is smaller: 2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -3*u**4\/8 + u**3\/6 + 2*u**2 + 22. Determine c(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135406547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 24914499 divided by 3?\nAnswer: 8304833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 16361134?\nAnswer: 16361133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wufcsjwjjsccs. Give prob of sequence ujf.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*1 - (sqrt(7) + (sqrt(84)*2)\/sqrt(12) + 4 + sqrt(7)*-1)**2.\nAnswer: -44 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4c5c5 (base 14) to base 15\nAnswer: -3a965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-6))\/5*(-12)\/(-16). Which is the smallest value? (a) o (b) 7\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + k + 2 = 0, -2*h = k + 4 - 2. Suppose 0*q = 5*w + 3*q, h = 5*w + 4*q. Does 0.1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10*t. Solve t = -5*k + 10 + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q**3 + 17*q**2 + 7*q. Let v(u) = 4*u**3 - 6*u**2 - 2*u. Let h(p) = -3*s(p) - 8*v(p). Let o be h(4). Is -5 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -112. What is the closest to w in 1\/2, -3, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 579588*k - 45183528.\nAnswer: -4*(k + 78)*(k + 144819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(-6)))**(-33)*f**(-1\/22)\/(f\/(f**(-9\/4)\/f)))**(2\/13) assuming f is positive.\nAnswer: f**(-10353\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4 + 1400*f**3 - 3030*f**2 - 156060*f - 151632 = 0.\nAnswer: -702, -9, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152396.6 + -152396. Let g = 893\/4 - 228. Let y = g - -5. What is the biggest value in y, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-4))\/((-1)\/2))\/((-4)\/144)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 43. Let t be 5\/(-3) - (-3)\/(w\/6). Which is the smallest value? (a) 0.3 (b) t (c) -0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826 + 740 = 649*f - 1679 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -12*m**5 + 313*m**4 + 634*m**3 + 280*m**2 = 0?\nAnswer: -5\/4, -2\/3, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9159*u**2 + 8*u + 3626.\nAnswer: -18318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 14, 1, 0, -0.4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -957146984 and -3.\nAnswer: -957146987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**3\/(((a\/(a*a*(a**(-2\/11)\/a)\/a*a*a*a*a))\/a)\/a**13) assuming a is positive.\nAnswer: a**(991\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19959 + 28807. Is 8850 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -289*i**2*r*z + 6*i**2*z - 459*i*z**2 + 91*r*z**2 + 3*r*z + r + 88*z**2 - 9*z wrt i?\nAnswer: -578*i*r*z + 12*i*z - 459*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 363*k**2 - 65702*k - 185. Calculate c(181).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 95 (b) 14\/9 (c) -1\/6 (d) 4 (e) -26 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-3))\/((-56)\/582) and 4\/(-2) + 61\/(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2789, 2782, 2725, 2594, 2365, 2014?\n\"Answer: -4*v**3 - v**2 + 24*v + 2770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 316714\/18 - 234\/1053. Calculate the highest common divisor of 414 and p.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -45*i**2 + 238*i - 7. Calculate the remainder when 2317 is divided by h(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22775 + -12423. What are the prime factors of x?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 143? (a) -4 (b) -18 (c) 0.2 (d) -1\/9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 3, f: 1, c: 2, x: 1, z: 1}. What is prob of sequence xf?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 4, -1, -6 in ascending order.\nAnswer: -6, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1129 + 175. Let g = k - 1203.9. Round g to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 12:30 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 22 = 5*p. Let j = -14 - p. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -98. Suppose -3*i = -4*t + s, 6*t = -5*i + t - 85. What is the least common multiple of 20*(i\/(-15) + (-58)\/(-15)) and 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -139, -549, -1229, -2179, -3399, -4889?\n\"Answer: -135*u**2 - 5*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l + 2. Suppose -j - 4 = -0, 3*s + 5*j - 28 = 0. Suppose 3*y + 8 + 4 = -3*x, -4*y - s = x. Let d(c) = -1 + 0 - c + x + 2. Give 6*d(k) - 2*f(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/60 - 11*c**4\/12 + 10*c**3\/3 - 31*c**2 + 1. Calculate the least common multiple of 190 and z(22).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 333 + 7*s + 18 + 11*s + 4382.\nAnswer: 18*s + 4733","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i. Suppose -5*r + 18 - 8 = i. What is the lowest common multiple of r and 5 + (-175)\/(-55) + 6\/(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242979259 + -3.26239?\nAnswer: 242979255.73761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*y - 27*y - 6279 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, 0, 95, 1\/4?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o - o + o - o + 2*o + (3*o - o + 0*o)*(-2 + 0 + 0).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -2 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - f**2 - f + 1. Let w(l) = 4*l**3 + 4*l**2 + 6*l. Give -5*n(p) - w(p).\nAnswer: p**3 + p**2 - p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20453972.\nAnswer: 2, 7, 11, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41750*p + 11 = 41755*p + 3*g, 2*p + g - 5 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Let c(t) = -t**2 + 7*t - 5. Is c(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*i**3 - 778540*c**2*i - c**2 - 75*c*i**3 - 81477*c*i wrt c?\nAnswer: -12*i**3 - 1557080*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 + 2*y**3 - 13*y**3 + 16*y**3 - 186*y**2 + 186*y**2 + (2*y**2 + 1 - 1)*(-2*y + 1 - 1) - y**3 + 0*y**2 + 0*y**2 - 10*y**3 + 7*y**3 + 0*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 30*u + 369 + 170 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*f + 24, 20*x = 16*x + 2*f - 8. Put -1, 2, x, 4 in descending order.\nAnswer: 4, 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**8\/336 - w**5\/20 + 2*w**2 - 2. Let a(p) be the second derivative of l(p). Find the third derivative of a(x) wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229798 is divided by 186?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*x + 15 - 34. Let y = 3 + -3.3. Let p = -2.7 + 3. Sort y, x, p.\nAnswer: x, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, z: 1, y: 3, f: 1, u: 2}. Give prob of picking 1 f, 2 c, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.9 + 0.9. Let s = -5 - t. Let q = 12\/19 - 22\/95. Put q, s, 1 in decreasing order.\nAnswer: s, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five quarters of a century?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 2}. What is prob of picking 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*r = 4*r, 0 = 2*r. Let v be (z + 0)\/(0 + 2). Suppose b + v*y - 3*y + 1 = 0, -4*y = 5*b - 71. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-37)*(o*o**(-16\/3))\/o)\/((o\/(o\/o**(29\/2)*o)*o)\/o**(4\/9)) assuming o is positive.\nAnswer: o**(-1015\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 1, f: 1, j: 3, x: 4}. What is prob of picking 1 f and 2 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 57*m**2 + 65*m - 348. What is k(58)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m. Let v be o(1). Suppose 204 = -3*c - 45. Calculate the common denominator of c\/v + 0 + 2 and -15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 1 - 1 + 0 + 2*s + 0 - 1 + s + 1 + (-1 + 2*s + 1)*(-3 - 4 + 6) + 6*s - 3*s - 4*s + (4 + 3 - 3)*(-2*s + 0*s + 8*s))*(3 - 4 - 1).\nAnswer: -52*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4705753*r**2. Let k(u) = -7*u**2. Give f(k(n)).\nAnswer: 230581897*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*v**3 + 6 + 156*v**3 - 3 - 93*v**3 to q*v**2 + n + t*v + b*v**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*4)\/((-2*sqrt(176) - sqrt(176)) + sqrt(176)) + (1*sqrt(14)*2)\/((sqrt(210)\/sqrt(6))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 267 - 27. Suppose 146 + 30 = 2*u. Let x = i + u. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 13*r - 338. Let f be h(-26). Suppose f - 990 = -5*k. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 - 4348*i**4 + 43142*i**3 + 298452*i**2 + 389520*i = 0. What is i?\nAnswer: -3, -2, 0, 15, 2164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 - 25*g**3\/3 + g**2\/2 - 24*g + 270. Determine b(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2852d (base 14) to base 9\nAnswer: 161814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 369425 + 369425 - 5*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:39 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 67*s**3\/5 + 376*s**2 + 11789*s\/5 - 13736\/5 = 0.\nAnswer: -17, -808\/67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 731865 and 100?\nAnswer: 14637300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p**3 - p**2 + p. Let h be a(1). Suppose 3*s + 2*m + 53 = 4*m, 0 = -2*s - 5*m - h. Let j = s + 18. Solve -j*b - 3*c = 15, -b - 4*c + 4 = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*h**3 + 53*h**3 + 91*h**3 - 158*h**3.\nAnswer: -417*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -n + 111, 2*v - 5*v - 3*n = 333. Suppose -7021 - 7172 = -171*j. What is the remainder when j is divided by v\/(-4) - (-1)\/4?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18690.\nAnswer: 2, 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2671641833.\nAnswer: 7, 381663119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 3\/4, 0.21, -0.0205, 1\/133, -4\/7?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:39 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/29556 and -107\/14778?\nAnswer: 29556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 0.3, -55, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 29*r\/6 - 7\/6.\nAnswer: -(r - 7)*(4*r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309051 is divided by 100673?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 23. Suppose 3*q - c = 2. Is 1210 - (2 + -5 + q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/(c*c*c*(c**(3\/4)*c)\/c))\/(c\/(c**1*c))**(-8\/15))\/(((c**(-7)\/c)\/c**(2\/3))\/(((c\/(c\/c**(1\/8)*c))\/c)\/(c\/c**1))) assuming c is positive.\nAnswer: c**(1867\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4047.62 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -550, -2178, -4772, -8212, -12378, -17150, -22408, -28032?\n\"Answer: 20*m**3 - 603*m**2 + 41*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659213.\nAnswer: 67, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, f: 2, i: 1, v: 2, g: 1}. What is prob of picking 1 g, 2 f, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 - 8*d - 9. Let i(f) = -3*f**2 + 4*f + 4. Suppose 10*l + 22 = -68. What is l*i(a) - 4*n(a)?\nAnswer: -a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.67732 and -5.\nAnswer: -4.32268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(1 - -1) + (2 - 2). Let h = -18 - -3. Let k = -11 - h. Which is the second smallest value? (a) v (b) k (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and -1182.35.\nAnswer: -105229.15","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1478611 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**5\/5 + m**4\/2 - 7*m**3 + 9*m**2 - 517. Factor c(w).\nAnswer: w*(w - 3)*(w - 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 13*c**2 - 12*c + 33. Let g be w(-14). Suppose 0 = g*y - 42 + 12. Suppose 0 = 7*s + y*s - 39. Sort s, -4, 2, 6 in decreasing order.\nAnswer: 6, s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.9 - -8.90137. Round u to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 - 2*o + 1\/2*o**3 + 0*o**2. Let k(h) be the first derivative of -h**3\/3 - 1. Give k(r(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2706263 to three dps.\nAnswer: 0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -5)\/(-6)*2 + -4. Let r be 7*((-64)\/(-14) + t). Put 1, 4, -1, r in descending order.\nAnswer: 4, 1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15925294 and 16456?\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 40. Let p = m + -34. Which is the closest to p? (a) 5 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 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: Solve 57*h + 625 + 969 - 454 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from grggr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7196255.17 to the nearest 10000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2744305549 to the nearest integer?\nAnswer: 52386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4600*q**2 + 5660*q.\nAnswer: 9200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 + 28.2327.\nAnswer: 28.0227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14 - 103252*n**2 + 3*n + 103252*n**2 + 11 - 556*n**4 wrt n?\nAnswer: -6672*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 60 = -0*y. Let h = y + 21. Let d be (-4)\/(-15) - 4\/h. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*x + 3 = 8*x, -3*u + 20 = 4*x. Suppose -16*t = u*t - 360. Solve -18 + t = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (15 - 27 - 6) - (113 - 7)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**10\/105840 - a**8\/23520 + a**4\/12 - 3*a**2. Let u(j) be the second derivative of h(j). What is d in u(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-18))\/(265\/4293))\/((-18)\/510)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 - 23*s**3 - 529*s**2\/2.\nAnswer: -s**2*(s + 23)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:28 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6226*q - 2430 - 5*q**2 - 6224*q + 2*q**2.\nAnswer: -3*q**2 + 2*q - 2430","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*j - 28969 = 922*j + 9579 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 55 + 24 + 31.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -10*b**3 - 26*b**2 + 4*b. Let f(s) = -11*s**3 - 26*s**2 + 3*s. Let g(v) = 4*f(v) - 3*p(v). What is the third derivative of g(h) wrt h?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76607 - 75*r - 153259 + 76652.\nAnswer: -75*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 0. Suppose -6 = -3*r - 9*v + 13*v, 3*r - 3*v = 9. Let t = a - r. Solve -12 = -3*y + 7*y - 5*q, 20 = t*y + 4*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let j be 22\/44 + 1\/x. Is (-4 + 1979)\/5*j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*h**3 + 146*h**3 + 18*h**2 + 27*h**2 + 2*h in the form z*h**2 + d*h**3 + j*h + i and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -998*s + 5. Let c be p(-7). Is c\/5 + (-60)\/(-75) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3067\/4 - -752. Let w = -5861\/6 - -979. Let i = 17\/2 - w. Find the common denominator of o and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 10. Let r be g(-12). Solve 0 = c - 5*j - r, 0 = -c + 5*c - 2*j - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(2*l + l - l) + 5*l - 2*l - l)*(-1 + 0 - 4)*(-18*l + 6*l + 5*l).\nAnswer: 210*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 5, -5, 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10814527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5 + 1108*l**4\/3 + 104114*l**3\/3 + 110044*l**2 - 145119*l = 0. Calculate l.\nAnswer: -183, -13\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/9)\/(1\/27). Calculate the highest common divisor of p and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l + 18 = 3*p, p = 4*l + 9. Suppose -2*r + 40 = p*o - 0*r, -4*o + 2*r = -32. Calculate the highest common divisor of 24 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173148753 to the power of 1\/2, to the nearest integer?\nAnswer: 34251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -30*n + 29*n - 14, -2*x + 21 = n. Are n and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 25 - 7*y - 54 in the form d + x*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 370*y - 100. Let g(b) = -41*b + 11. Let a(i) = 35*g(i) + 4*o(i). Let s be a(-7). Let z = s + 1591. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*i + 4256 = -9934 - 2673 for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmnnnnnnnnnmnnnmm. What is prob of picking 1 m and 2 n?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3403*x - 223*x + 2228*x.\nAnswer: 5408*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8591*f + 8770*f - 1969 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtsvnttxvvxstxt. What is prob of picking 2 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**3\/3 - 10610*p**2\/3 - 21265*p - 31920 = 0.\nAnswer: -3, 2128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/5 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4344 divided by -1.\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + -4 + 7 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-18))**(26\/9)*w**(-1\/29)*(w**(2\/9)*w)\/w)**(2\/65) assuming w is positive.\nAnswer: w**(-27046\/16965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.32996169 from 0.\nAnswer: 0.32996169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 30*t - 8. Let b(u) = -7*u**2 + 26*u - 7. Let w(v) = -7*b(v) + 6*n(v). Calculate w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2979\/21959?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 88811, 0.07, 0.06?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -479.6 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + (-120)\/50?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9044 times 661.14?\nAnswer: 5979350.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q + 67. Does 13 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18821 and 60416.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 24. Let v = -28 - h. Is 129\/12 - v\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.9, 11 in descending order.\nAnswer: 11, 0.9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/17 - 4058*i\/17 + 4056\/17 = 0?\nAnswer: 1, 2028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 27*b - 21 = 0, 46 = -4*r + 4*b + 106 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2) - (-20)\/5. Suppose -y*h + 10 = -5*j + 2*h, -2*j + 2*h = 6. Let -4\/9 - 52\/9*v**j - 10\/3*v**3 - 26\/9*v = 0. Calculate v.\nAnswer: -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(228) - -1*sqrt(228)) + sqrt(228))*-5)\/(sqrt(588)*2*-2))**2.\nAnswer: 4275\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8477 - -8477.2. Which is the closest to q? (a) 5 (b) 21 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.5, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -460 + 220 - 523 + 1653*c - 1654*c. Let l(q) = 12*q**2. Calculate r(l(d)).\nAnswer: -12*d**2 - 763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/11 (b) 0.08 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080251 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:21 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a - 4. Let u(j) = j. Let v be u(a). What is the greatest common factor of v and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*k - 4*k - 231768 = -8*k. What is the highest common divisor of 29 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by -1665192.\nAnswer: 91\/1665192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41133201, 82266415, 123399629, 164532843?\n\"Answer: 41133214*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1718, 3396, 5088, 6800, 8538, 10308, 12116?\n\"Answer: a**3 + a**2 + 1668*a + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13241010 (base 5) to base 9\nAnswer: 223575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d**2 - d + 36. Suppose -4*k + 3*k = 0. Is 12 a factor of v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bblbbl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 3*l. Suppose 2*i = -j - 7, 4*j - i + 34 + 3 = 0. Let y be (-2)\/((-3)\/j + -1). Let t be b(y). Solve k + k = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -290, -2\/13, -2 in increasing order.\nAnswer: -290, -2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) + 56 + (-1750)\/30.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 11*l**4\/6 + l**3\/3 + 6*l. Let r(d) = -d**2. Determine r(j(a)).\nAnswer: -484*a**4 - 88*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 41*b**4 - 49*b**4 + b + b**3 + 2 + 6*b**4 to the form i*b**3 + x + a*b + c*b**2 + l*b**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672 smaller than 3672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/25? (a) 0.5 (b) 0.2 (c) -0.4 (d) -0.1 (e) -0.0418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 5*y = -5*g - y + 8, -8 = -2*g + 4*y for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1670*0.3.\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(39)\/sqrt(12))**2 + sqrt(832)*-1)*-1.\nAnswer: -13\/4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 t when four letters picked without replacement from {e: 1, y: 2, n: 1, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58658911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*h + 641 = 8593 - 262 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1111, -2150, -3169, -4168?\nAnswer: -5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*((sqrt(245) - (sqrt(245) + -2))*2 - (sqrt(245) + 3*-2*sqrt(245) + sqrt(245))) + 2)**2*1*6.\nAnswer: 44352*sqrt(5) + 849624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308\/(-6)*(-6)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*v + 288100 = 10*v, -2*m + 2*v = -115228. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**4\/5 - 14*k**3\/15 + k**2 - 146. Factor i(j).\nAnswer: 2*j*(j - 1)*(2*j - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 388096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/13 - 14*t\/13 - 24\/13 = 0. What is t?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 191559.6 grams?\nAnswer: 191.5596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = f - 4*r, 2*f = 4*r + r + 28. Let k = f + -28. Let m(p) = 5*p**2 + 8*p. What is the remainder when m(k) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74935434 is divided by 7692?\nAnswer: 7662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-22)*1\/(-6). Sort 121, v, -3\/5 in decreasing order.\nAnswer: 121, v, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-12))\/4*27\/(-45).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1026 and 150957.\nAnswer: 149931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4179 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195 * 8755.6.\nAnswer: 1707.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1522*q + 731. Let a(l) = 6*l - 1. Let k(y) = 5*a(y) - f(y). Differentiate k(z) wrt z.\nAnswer: -1492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(30) + (sqrt(30) - 4*sqrt(750)))\/(-4*sqrt(726) - sqrt(726)))**2.\nAnswer: 5184\/605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2240802 and 36?\nAnswer: 4481604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1195653623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -342 + -3?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 1696\/48)\/(1\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(500) + 0) + ((sqrt(500) - (5 + sqrt(500)*-2)) + sqrt(500) - sqrt(500)).\nAnswer: -5 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*p**2 - 85*p**2 + 147 + 511.\nAnswer: 31*p**2 + 658","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544743331 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 1037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281\/2 + 697\/5. Let t = 12232\/5 - 2491. Let u = t + 1969\/40. Calculate the common denominator of u and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 6) + 10 + 1 + (14 - 11) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 4 (c) 1\/5 (d) -15\/4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) 4 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/(-12)*5\/(-2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*12\/8*((-1300)\/(-135))\/(-13)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (948\/60 - 14)\/(2\/(-10)) - 72?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -47 + -2 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3ba0 - -55?\nAnswer: 3c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 724 - 3*b**3 - 2*b**2 - 722 + 2*b + 0*b**2 to the form v*b**3 + x + l*b**2 + n*b and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339\/2 + 45\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4 - 6. Let o = 0 + y. Solve -o*s + 11 = 3*s - 2*b, 4*b - 2 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85395340 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = 2*v - 5*g, 4 = -4*g. Suppose 0 = -o - 5*m - 5, o - 3*o - 5*m = 0. Suppose -o*i + 15 = -2*i. Solve 10 = v*y - i*b, y - 2*b - 3 = -0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9750 and 440?\nAnswer: 429000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:15 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 13\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1200458 or -1?\nAnswer: -1200458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266631*s - 40*s**2 - 266631*s + 6.\nAnswer: -40*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.028645 and -21393.0339?\nAnswer: 21393.062545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125))*-6 + sqrt(125))**2*-6.\nAnswer: -18750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -80.912. Let w = 89.088 - n. Let t = w + -89.16. What is t rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.98 + -5.5. Let f = -14.28 + t. Let w = f + 16. Which is the smallest value? (a) w (b) -3\/4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43153 + -1052?\nAnswer: 42101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3\/4298)*(-933)\/(-1244). Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2200*w = 2170*w - 332, -4*c + 0*w = -w - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckfo when four letters picked without replacement from kobkcfol?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*j**3*t**3 - 6*j**3*t + 73*j**3 + 2*j**2*t**3 - 44*j**2*t**2 + j*t - 37*t**3 wrt j?\nAnswer: -54*t**3 - 36*t + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/578 and (2\/(-70))\/(56\/(-9380)).\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057)*-1 + -3 + -4*((2*sqrt(2057) + 1)**2 + sqrt(2057)))*-6*1.\nAnswer: 1188*sqrt(17) + 197514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.49 + -92. Let p = -0.19 + s. Let m = 0.07 - 0.27. Which is the closest to 2? (a) 3 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s - 8 = 0. Let d(j) = 2*j + 1. Let u be d(1). Factor 2\/7 - 2\/7*n**s - 4\/7*n + 4\/7*n**u + 0*n**2.\nAnswer: -2*(n - 1)**3*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 + 143. Let a be (t\/9)\/((-6)\/45). Suppose -5*r + 5*p + a = 0, 16 = -5*r - 3*p + 47. Which is smaller: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 6*m**2 - 3*m - 8. Let f(v) = v**2 - 10. Let i be f(-4). What is c(i)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**2 + 2\/3*o**3 + 0 - 2*o. Let r(v) = 5*v - 3. Let m be 3 - (4\/1 - -1). Determine m*r(f) + 3*h(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = -5*g + 23, 0 = g - 3*t - 3. Solve -4*y + 2*x = 2, -3*y = y + g*x - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -18*q + 29. Let z = -57 + 47. Is t(z) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:41 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/21 + 18\/14. Let c be 1 - (-1 - (1 - 3)). Is 3 a factor of c + (v - -5) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 8*m + 13. Let o be h(-9). Find the second derivative of g**2 - o*g**2 - 3*g + 7*g - g**2 wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (84\/(-8))\/7 - 549\/(-18). Suppose 0 = s*u - 28*u. Solve u = r - 6*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95925 or 95932?\nAnswer: 95932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 2, f: 7, l: 7}. Give prob of sequence ffo.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/15)\/w**(-6\/13)*(w*w\/(w**(-4\/11)*w*w*w))**(2\/21))**(-5\/8) assuming w is positive.\nAnswer: w**(-1003\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199*j**3 + 138885*j**2 + 118867176*j wrt j.\nAnswer: -1194*j + 277770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*w - 10*w + 8*w)*(5*w + w - 4*w - 3) to g*w**2 + x*w + n and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.741551 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*s - 1019355 = -446*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(128)*2 + sqrt(128)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28402094.\nAnswer: 2, 7, 41, 49481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -963 + 930. Let x = 12 + -47. Let k = n - x. Solve -5*b + 22 = a - 5*a, k*b + 11 = -5*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b + 119*b - 167*b + 27*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrrbrrbrr. What is prob of sequence rrr?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51339 and 7848.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-57))\/(-23*(-22)\/3036)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7)**1\/(h**(-5))**(-4\/3))**(12\/11) assuming h is positive.\nAnswer: h**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13777 to 3 decimal places.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 4*v - 4. Let t be y(4). Calculate the common denominator of -81\/16 and 94\/(-32) - (-10)\/t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 1 = -37*k + 73*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 4:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -2*i**3\/3 + 1. Let z(x) = 128*x**2 + 142*x**2 - 273*x**2. Calculate -5*q(r) + 3*z(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 0)**2 + 0.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x**(-2\/29)\/x)\/x)\/x**1)\/(((x*x*x\/x**6*x)\/x)\/((x\/x**1)\/x)))\/(x**6\/x**(-6)*(x\/(x\/(x*x**1\/x*x))*x)\/(x\/(x\/(x**(-3\/5)*x))*x)) assuming x is positive.\nAnswer: x**(-1837\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (5 + -1 - 9). Let w = 9 + n. Suppose w*h + 8*h = 40029. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-4)\/(-12) - 14\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assasak. What is prob of picking 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.021 - -8.579. Let u = t + -37.5. Round u to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.023 - -4.977. Let x(g) = -g**2 - 2*g - 2. Let u be x(-2). Which is the closest to -2\/5? (a) u (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-9)\/(-960))*(43443\/18 - 16). Round z to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12122 + -1102032?\nAnswer: -1034410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 7 + 0*o + 10 - 2*o**2 + 0*o**2. Let v(x) = -4*x**2 - 5*x + 6. Suppose -10*p + 22 = 4*j, -4*j - 2*p = 3*p - 7. Calculate j*v(u) + 5*z(u).\nAnswer: -2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**5 - i**5 + 3*i**5 - 4*i wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/81*-26391 - 0 - (-10)\/(-45) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307096418 is divided by 1687.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005634107904 to 7 dps.\nAnswer: -0.0005634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4402 - -640115?\nAnswer: 644520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 58*n - 54*n. Put -2, n, -3 in ascending order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.8 + 5.26. Let s = 18.4593 + v. Let b = s + 0.08. Round b to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1513, -24, -3 in decreasing order.\nAnswer: 1513, 3, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 67 + -46 + 1 + -10 + -25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 - 229. Suppose -2*q + 61 = 5*m, -6*q + 5*m = -v*q - 77. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 y when four letters picked without replacement from owqooqoyoqwqo.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17480549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*-2 + 0 + 3 + 0 + sqrt(1100) + 6*(sqrt(6336) + 0).\nAnswer: 3 + 134*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-10)*k*k*k)**(-16\/9)*((k**(1\/2)*k)\/k)\/k**(-2) assuming k is positive.\nAnswer: k**(-403\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - n**2 + 0*n**2 + (0 + 1 - 2)*(-1 + 1 - 2*n**2))*(-n**2 - 3*n + 3*n).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + f = -1015965, 5*q - 2539885 = -f - 2*f. Let u be (-2)\/(-10) + q\/100. Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = v + 8, -4*v - 5*n = 3. Factor 3\/2*g + 0 - 6*g**2 + 9*g**v - 6*g**4 + 3\/2*g**5.\nAnswer: 3*g*(g - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttqqtt. Give prob of picking 2 q and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -195 + -100\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44578.569 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -818346, -818369, -818392, -818415, -818438, -818461?\nAnswer: -818484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w + 7286. Let g(i) = -2*i + 1460. Calculate -29*g(x) + 6*z(x).\nAnswer: 4*x + 1376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 - 1. Let r(i) be the third derivative of i**6\/30 - i**4\/8 - i**3\/3 + 110*i**2 + 2*i. What is r(k) - 2*t(k)?\nAnswer: 2*k**3 - 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/28072 and -52\/203.\nAnswer: 196504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2140 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29912 + 29914. Let j(b) be the third derivative of -1\/2*b**3 - 1\/4*b**4 - b**g + 0 + 0*b. Let f(u) = -3*u - 1. What is -7*f(z) + 3*j(z)?\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(420\/40)*-98?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 2*a**2 - 3*a**2 + 2*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - y - 13, -83*d = -71*d - 4*y + 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -117, 24 in ascending order.\nAnswer: -117, -3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69061413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 52. Let g be r(14). Put 1, g, 3, 0 in ascending order.\nAnswer: 0, 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 3*i - 3. Give v(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 29*v - y - 5 = 0, -5*y = 3*v + 25. Let q(z) be the first derivative of v*z + 1\/2*z**2 - 1\/3*z**3 - 2. Find the second derivative of q(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -760.4 and -0.2.\nAnswer: -760.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 5*w + 14*w + 28 + 181067*w**2 - 181049*w**2. Calculate i(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 2\/9 (c) 40 (d) -8232 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771799209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1702644, 1702635, 1702612, 1702569, 1702500?\n\"Answer: -p**3 - p**2 + p + 1702645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.175 take away 0.3?\nAnswer: -27.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/66*54\/4*(-108)\/81?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 1. Let u be 0\/(-5) - (0 + -1). Let t be w(u). Let g be (-3)\/t + (-33)\/(-6). Calculate the greatest common factor of 44 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.035 + 0.465. What is the smallest value in -1\/9, m, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 124. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516\/(-21386) - ((13248\/595)\/6 + (-5 - -1))?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72281737 and 23.\nAnswer: 1662479951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -6*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:38 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t - 1688*t + 45960 = 509*t - 59179 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*h + 200. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(252) + -3 + sqrt(684) + (sqrt(76) + -1*sqrt(76)*-3)\/(sqrt(4) + sqrt(20)\/sqrt(20)))**2.\nAnswer: -53*sqrt(19) + 53695\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 32891*b - 9*b**2 + 32891*b to the form s*b + o*b**2 + p and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 5*w**4 - 2*w**3)*(113*w - 289 + 289)*(-5 + 8 - 5).\nAnswer: -1130*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (667\/(-99) - 1) + 8 and 31\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5314900 rounded to the nearest ten thousand?\nAnswer: 5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*(-13)\/4)\/(2\/4). Solve -12 = 5*r + m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + z**2 - z**2 + (4*z - 5*z + 0*z)*(0*z + 0*z - 6*z) + 1167*z**2 - 20003 + 20003 in the form t + p*z**2 + k*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9414 - -9416. Let o(z) be the second derivative of 0 - w*z**2 + 1\/6*z**3 + 10*z - 1\/6*z**4. Give o(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137374 divided by -1?\nAnswer: -137374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 915400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9273?\nAnswer: 3, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x**(-2\/31))**(-20\/3) assuming x is positive.\nAnswer: x**(90\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -646 + 648.93. Let s = 5.93 - k. Which is the nearest to 2? (a) -5 (b) -22 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 569 - 190. Suppose 5*i - f = 81. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33129226*p**4 - p**2 + 3054918*p - 1?\nAnswer: -795101424*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8)*(-7)\/(126\/(-12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1917\/26 + -7838665\/106314. Let j = 61361\/53157 + r. Let w = 199\/195 - j. What is the nearest to 2\/5 in w, 0.6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (26 - 11) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 12*k - 18. Let z be v(14). Suppose 0 = z*x - 9*x + 3100000. What is x rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2016 - 11*p + 14*p - 2011 + 70*p.\nAnswer: 73*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-160)*-12*4\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c009 (base 13) to base 11.\nAnswer: 164532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36789.\nAnswer: 3, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -369.9 - -367.9. Which is the nearest to -2? (a) 0.2 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 - 9179*s\/2 + 27546.\nAnswer: -(s - 6)*(s + 18364)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -620.5 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/16)*(26568\/(-288))\/(-41)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0 in descending order.\nAnswer: 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1547 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5 - 1365728\/(-24) - ((-30)\/9)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 15*v**2 - 5*v - 5. Let p(h) = -44*h**2 + 14*h + 14. Let z(a) = -14*g(a) - 5*p(a). Let c(x) = -79 + 79 + x**2. Calculate c(z(d)).\nAnswer: 100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95364, 190749, 286134, 381519?\n\"Answer: 95385*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -973 or -975?\nAnswer: -975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in 20, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 367012 + -246476. Let i = y + -530536. What is i rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/83986 and 139\/18?\nAnswer: 755874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-1)\/((-9)\/27). Suppose 9*u = r*u + 342. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*r - 30 = -45*r - 48*r - 48*r + 2*d, -5*d + 12 = -2*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -54276, 5 in descending order.\nAnswer: 5, 4, 1, -3, -54276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - (1 - (3 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494271358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246285 divided by -49257.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -355\/33 or 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(5\/6)\/c)\/c**(-34)*(c**(-8\/7)\/c)**9 assuming c is positive.\nAnswer: c**(653\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640360 rounded to the nearest 10000?\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-924)\/(-6678)*93\/341.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:32 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.255 minus 0.115081?\nAnswer: 156.139919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - m = -3*j + 11, -j - 358*m - 1690 = 818 - 365 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from effdffxfeaef?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3657?\nAnswer: 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1743*h = 947*h - 895*h + 844*h - 216398 for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/25 and -27\/70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 12. Let b be 48\/20*(-5)\/(-3). Calculate the remainder when 12\/16*b*(-106)\/(-6) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366218 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p**2 + p + 1. Let w(g) = -15*g**2 + 6*g - 4. Let o(f) = -w(f) + 2*x(f). Let m be o(8). Put -1, 0.1, m in increasing order.\nAnswer: -1, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5135800333 to the nearest integer?\nAnswer: 71664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from mffmfie.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7801*x**2 + 1273*x wrt x.\nAnswer: 15602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.1 (c) -4\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2816, 2814, 2812?\n\"Answer: -2*w + 2818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48275 = 19*u - 69108 + 1787. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -15) + (-1 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4060)\/(-261))\/14 + 14\/(-2) + 280\/72?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -11\/40254087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-310)\/30 + 11 + 8\/6. Which is the nearest to 1? (a) g (b) -1\/8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from oooohehooooohoo.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/134 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -174*(-1)\/6 - 21*(-84)\/(-147)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + ((-25 - -9) + 55 - 13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1311180 and 437880.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u - 6218 = -22*u - 6954 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3155*k**2 - 517*k + 1029. What is the thousands digit of m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18923709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1617, 1693, 1757, 1803, 1825, 1817?\n\"Answer: -w**3 + 83*w + 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*h = 304, 2*h + 23 = i - 41. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.967383702 + -715.\nAnswer: -714.032616298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -3*t**5\/35 - 9*t**4\/7 + t**3\/7 + 18*t**2\/7 - 294. Let o(v) = 0. What is v?\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -24, -55, -120, -231, -400?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -859 - -1646. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -21. Let t be 6 - 9 - (-2)\/u. Which is smaller: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 2*v**2 + v - 1. Let q(m) = -15*m**3 - 15*m**2 + 7*m - 1789. Give -7*f(y) + q(y).\nAnswer: -y**3 - y**2 - 1782","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 8*v**3\/3 + v - 6. Determine t(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r + 4 = 0. What is the tens digit of -1 + 0 - (-23 - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 5*f - 2. Let n be q(5). Let k(b) = b + 4. Let s be k(n). Calculate the remainder when 25 is divided by (1 + 12)\/(3 - s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*q**2 + 68*f**3*q - 2*q**2 + 4*q - 2 wrt q.\nAnswer: 8*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 10*a**2 + 7. Let r be w(-9). Suppose 3*q + 2 + 4 = 0, 5*q + 10 = -k. Suppose k*z = 4*z - r. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*k - 26 + 18*k + 21*k)*(1 - 1 - 2*k) + 2*k**2 - k**2 - 2*k**2 + k**2 + 2*k**2 - 5*k**2 to g*k + s*k**2 + o and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359184384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-39)\/(-12) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 40740281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 4, g: 1, l: 5}. Give prob of sequence eg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/2 - c**2 - 4*c = 0. What is c?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 1422*a**2 + 5*a**3 + 1422*a**2 + 4*a.\nAnswer: 5*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g**2 - g - 1381*g**3 + 690*g**3 + 11*g**4 + 697*g**3 wrt g.\nAnswer: 264*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Let i be x - (-5 - (1 - 3)). Suppose i = -o - 5*o. Is o equal to 2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -237, -1223, -2773, -4863, -7469, -10567?\n\"Answer: 4*w**3 - 306*w**2 - 96*w + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63053.92 decades to months.\nAnswer: 7566470.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 19*u + 17. Let w be r(-18). Let k = 16259\/16 + -1018. Calculate the common denominator of k and (331\/(-4) - w)*(-4)\/18.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 277929 or 277930?\nAnswer: 277930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64, 12, 0.2, 0.1, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 441?\nAnswer: 36162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 - 49*z + 11 + 9 + 12*z as h*z + s and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1266 = u. Let m = -262 + u. Let b = 95 - m. Round b to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*l**3 - 10*l**3 - 9*l**3)*(12*l**2 - 3 - 9*l**2 - 11*l**2).\nAnswer: -72*l**5 - 27*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18140?\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17524 - -17567 - ((-18)\/(-1) - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-12) - (-22)\/8. Let z(j) = -7*j - 2*j - t + 3*j - j**2. Suppose -2 - 4 = 2*y. Determine z(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175714104173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1313026*d. Let q(j) = 378*j**2. Calculate q(s(x)).\nAnswer: 651686090583528*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c - 4*g - 1, -5*c - 5*g + 30 = 0. Suppose c*j = 3474 + 4920. Suppose 3*u = -a - 3*a + j, -2*a = u - 465. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750621 is divided by 344.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.19 (b) 2\/3 (c) -24 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 783 - 3*i**2 + i - 2*i**2 + 0*i.\nAnswer: i**2 + i + 783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716549?\nAnswer: 716549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-172)\/(-152))\/1)\/((-45)\/30) and -77\/96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r - 4. Let j be ((-3)\/2)\/(114\/(-76)). Let b be o(j). Solve 2*c + 3*t + 6 = -c, -4*t + b = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -530, -1061, -1592, -2123, -2654, -3185?\n\"Answer: -531*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 2*m + 3*z + 51, -3*m + 9*z - 5*z + 23 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 150, 4, -4, -2 in descending order.\nAnswer: 150, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-3)\/v*v*v)\/v)\/((v*(v*v*v**28*v*v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.317577 and 6029.27462.\nAnswer: 6028.957043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/(-56)*(-40)\/(-16)*(-19)\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509532.154 rounded to the nearest 10000?\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 - -0.1175. What is l rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 10*q + 5. Let a be i(-5). Sort a, -5, 2 in decreasing order.\nAnswer: a, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 - (3 + -17)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 + -51?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/13 and 55\/455397.\nAnswer: 5920161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mydqyjmmdmmddqyjdmqm. Give prob of sequence qjq.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*o + 48 - 48 + (-35*o - 41*o + 22*o)*(-1 + 1 + 1))*(-2*o - o + 0*o) to k*o**2 + w*o + t and give k.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = 3*g, 8 = 5*s - g - 5. Suppose 0 = -s*b + 1 - 4. Does 11 divide 36 - (-12)\/(4*b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10138\/25 or -406?\nAnswer: -10138\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 divided by 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -119345666 divided by 366091\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = 0. Let g(q) = q**3 + 2*q**2 - q - 21. Let t be g(h). What is the units digit of 26*-2*t\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y\/y**(1\/20)))))\/((y*y*y**31)\/y))\/(y**(7\/6)\/(y\/((((y\/y**(-23))\/y)\/y)\/y))) assuming y is positive.\nAnswer: y**(-3187\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -249*-0.7\nAnswer: 174.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190627276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x - 97*x + 12 = 0. Suppose 3*s + x*l = 6, l = 3*s - s - 4. What is the second derivative of -3*j + 4*j**2 - 11*j**2 - 9*j**s - 2*j wrt j?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**5 - 16*g**3 + 16*g**3 + 3 - 3 - 2*g**5 + (6*g - 7*g + 3*g)*(-g**4 + 3 - 3).\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20807 + 0.916.\nAnswer: 20807.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 38 = 2*c + 2*q, 2*q = -3*c + 56. Does 32 divide 2604\/c + 20\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpuu when four letters picked without replacement from {p: 1, l: 1, e: 1, b: 1, u: 2, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 14672340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116377 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -0.0803447795?\nAnswer: -0.6196552205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153) + sqrt(17) - sqrt(17))**2 + sqrt(17) + 0 - ((-4*sqrt(272) + sqrt(17))**2 - (sqrt(68)*-2)\/sqrt(4)).\nAnswer: -3672 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*(p*p\/(((p*p**(1\/5))\/p)\/p))\/p*p*p)\/p))*p\/p**(-9))**(-6)*p\/p**(-2\/13)*p**(-5\/2)*(p*p*p**(4\/3)*p)\/(p*p*p**(1\/6)*p) assuming p is positive.\nAnswer: p**(-16181\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*c + 2 = 0, -2*f + 36*c = 39*c + 30 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -416 - -481. Let l = -62 + r. What is the nearest to 1 in 22, -3\/8, l?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245\/4 + -61. Let k = 28.443 - 25.46. Let i = k + 0.017. What is the closest to d in i, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, g: 2, n: 3}. Give prob of sequence gag.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000497164 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1111801940*h**5 - 1343*h**2 + 189278.\nAnswer: 66708116400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(3\/(-3)))\/((-6)\/5100*-30*5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -679675?\nAnswer: 32\/679675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let h = -487 + 512. Let z(t) = 8*t + 7*t - 133 + 9*t - h*t. Calculate i(z(p)).\nAnswer: 2*p**2 + 532*p + 35378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14606 and 436?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1949 in 2, -1, 3\/4, 90?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1466813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*3.8.\nAnswer: -6.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 35?\nAnswer: -66\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4*-2*1. Let s(c) be the first derivative of 5*c**2 + 1 - 4*c**2 + 5*c + 1 + 11. Let g(x) = 6*x + 14. What is u*g(r) + 14*s(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t*t\/t**(-6)*t*t))*t*(t\/t**(-2))\/t*t*t**(-1\/12)\/(t\/(t*t**(2\/15)\/t*t)) assuming t is positive.\nAnswer: t**(261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*2 + sqrt(189))\/sqrt(9))\/((sqrt(140)\/sqrt(5) - sqrt(7)) + sqrt(7)) + (sqrt(12) + sqrt(24)\/sqrt(2)*3)\/(5*1*sqrt(4)))**2.\nAnswer: 1587\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 47 = -854*i + 857*i, -2*k = -4*i - 4 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5459373826.40000561 + -5459373752. Let z = h + -74.4. Round z to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 19. Let h be b(-21). Suppose 102 = h*q + 112. Let z be 9\/(1 + 2) - -20. Put z, 0, q in decreasing order.\nAnswer: z, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 2. Let n be c(3). Let v = -12803\/579 + -21\/386. Calculate the common denominator of (29\/n)\/(6\/(-25)) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -369*f**3 - 1163*f**2 - 495*f**3 - 1608*f**2 - 252*f**3 + 363*f**3 wrt f?\nAnswer: -4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13141?\nAnswer: 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.97 + 0.03. Let i(s) = 2*s**3 - 31*s**2 - 17*s + 14. Let r be i(16). Let d be (1 + 1 - 2)\/1. What is the third smallest value in l, -0.5, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -8. Let d(b) = b + 4. Let o be d(-4). Let r(c) = -5 - c - 2*c + o*c. What is r(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, -1042, -2459, -3886, -5329?\nAnswer: -6794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22329.53375 rounded to the nearest integer?\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1)))**(-8\/19)\/(((z\/((z*z**(-2\/9))\/z))\/z)\/(z\/(z\/z**(-8)))) assuming z is positive.\nAnswer: z**(-1334\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -3*b**4\/4 + 15*b**2\/2 + 11*b. What is the first derivative of r(s) wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81309041279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -9*r + 7*r + 4*i + 14 + 1, 4 = -i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000 + 1?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49995 = -14*h + 71973. Suppose -a + 16285 = -h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 3\/5, -0.1, 0.1, -1.374, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y - 2. Let v be l(0). Let p be (4\/44)\/(v + (-10)\/(-4)). Factor 4\/11*t**3 + 0*t + 0 + 2\/11*t**2 + p*t**4.\nAnswer: 2*t**2*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9521, -18918, -28185, -37322, -46329, -55206, -63953?\nAnswer: -72570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6284 is divided by 624?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 117. What is the remainder when c is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/5*(-120)\/(-72). Suppose 4*i = -i - 10, -l - n*i = -687. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14057205 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6 = 5*k, 0 - 1 = 5*y - 3*k. Let v = 18 - y. Suppose 13*i + 196 = v*i. Calculate the remainder when 93 is divided by i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/288 and 13\/419972?\nAnswer: 30237984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84, -214, -344?\n\"Answer: -130*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5747080461?\nAnswer: 3, 19, 100825973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 = t - 4*l - 236, -3*l = -2*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952975973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 10) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, -5, 5 in ascending order.\nAnswer: -5, -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/((u\/(u*u**(-2\/13)*u)*u)\/u))\/u*u)*u**(-1\/4))\/((u**(-2\/33)*u)\/u**(6\/7)) assuming u is positive.\nAnswer: u**(-14155\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*sqrt(15)\/sqrt(3)*-5 + 4*((sqrt(245) - (0 + (1*sqrt(245))**2)) + sqrt(245) + sqrt(245)).\nAnswer: -980 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121987.\nAnswer: 199, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 4 + 2*o**2 + 560*o**4 - 5 - 552*o**4 in the form d + n*o**3 + q*o**4 + s*o**2 + w*o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 43*x**2 + 44*x + 118. List the prime factors of h(3).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*v, v - 20 = -v + 2*i. What is the third derivative of -10*l**2 - 89*l**6 + 3*l**2 + 99*l**v wrt l?\nAnswer: 1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 5*u - 23. Let n = 31 + u. Solve 0 = 3*i - 2 - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*j - 30, 0 = 2*v + 3*v + 3*j - 42. Suppose 4 = g, -v*h - 13 = -12*h - g. Factor 0 + 8\/3*z + 4\/3*z**h + 4*z**2.\nAnswer: 4*z*(z + 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.3123 rounded to one decimal place?\nAnswer: -56.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -6128328474?\nAnswer: -6128328474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjk when four letters picked without replacement from {e: 7, j: 2, k: 3, a: 3}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 36, -4228 in ascending order.\nAnswer: -4228, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281215\/3 + 84889. Let n = u - -212533\/24. Find the common denominator of n and (264\/252)\/11 - 912\/(-126).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16797690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3381 + -3339. Calculate the least common multiple of l and 238.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 0*z**2 + 0*z**2 + (-2*z**3 + 0 + 0)*(1 - 5 - 1) to the form w*z**2 + d + k*z**3 + s*z and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 + -18 + (6 - (-7 + 11 - 9)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y + 42*y - 95*y = 1290 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 171, 2, 5, 1 in descending order.\nAnswer: 171, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 139?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 370. Let t = f + 538. Suppose 11*d + t = 15*d. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 21 = 49. Let d = z + 84. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 18 (b) 0 (c) 9346\/9 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxl when three letters picked without replacement from {v: 2, l: 4, x: 7, z: 5}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2544.8 - -2545. Suppose -15 = -3*b - 2*s, 0 = -2*b + s - 3 + 6. Do z and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108759138, -108759141, -108759144, -108759147?\nAnswer: -108759150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 26462*t + 505. Let j(h) = 105*h + 2. Calculate -505*j(c) + 2*x(c).\nAnswer: -101*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1) + -16 + 16. Solve -5*j = 3*k - 15, -4*j + 3 + 9 = -g*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(200))\/sqrt(8)*3)\/(sqrt(125) - (sqrt(125) + -2*sqrt(125)) - (sqrt(5) - 1*sqrt(5))*4).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -216310, -216316, -216324, -216334, -216346, -216360, -216376?\n\"Answer: -h**2 - 3*h - 216306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/12)\/(3\/8). Is 4 a factor of 104\/i + (-12)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246129849?\nAnswer: 3, 7, 151, 25873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, b: 3, h: 3, e: 4}. What is prob of sequence hebh?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2458767*v + 103*v**2 + 2458767*v + 6*v**3 in the form j*v**3 + g + c*v + a*v**2 and give a.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-304)\/(-4))\/(17\/((-102)\/(-12))))\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 594*j**3\/5 - 37828*j**2\/5 + 596224*j\/5 + 192512\/5.\nAnswer: 2*(j - 32)**2*(297*j + 94)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 46\/5*n - 3 - 3\/5*n**2 = 0.\nAnswer: 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 5*h - 5. Let y be i(-6). Let n(b) = -80*b**3 + 2*b - 1. Let j be n(y). Let x = j - -115. Calculate the highest common factor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 at most as big as -895\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 12*n**2 + 26*n - 60. Let b be s(10). Suppose w + 4*j = j + 21, w - j - 25 = b. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 3*a**2 - 26*a + 53. Calculate g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 67*b - 22. Let f be u(-22). Let y = f + 882. What are the prime factors of y?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 not equal to 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -818*u - 43347. What is g(-53)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 4*r**2 + 2*r - 9. Let g be o(5). Let l be ((-9)\/12*1)\/(g\/64). Solve 6 = 2*m, l*c + 0*c - 2 = -4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -64 + 7*f - 22*f + 82 + 3*f**2. Let h be p(6). What is the greatest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 19*g**4 - 2*g**2 + 26. Let a(v) be the second derivative of v**6\/30 + v**4\/12 + 32*v. Let c(h) = 2*a(h) + q(h). Differentiate c(k) with respect to k.\nAnswer: 84*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufmon. Give prob of sequence mu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8442 and 1015?\nAnswer: 1224090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o + o)*(-2 + 2 + 3*o)*(-3*o**3 + o**3 + o**3)*(3 - 1 - 1).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v - 3*g, 0*g + g + 95 = 5*v. Let p = v + -14. Is p greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 76.0000355. Round c to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148304 is divided by 219?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 25 + 5 + 0 + 14 + 29 + -1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16\/4*4\/(8\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z. Suppose 18 - 23 = 5*a. Give q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16408 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, 379, 1493, 3709, 7405, 12959, 20749, 31153?\n\"Answer: 63*l**3 - 16*l**2 - 3*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6360 - -5210. Is 130 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f**2. Let j(u) = -52*u**2. Calculate j(p(g)).\nAnswer: -1872*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-6))\/((-4)\/(-88)). Let l(w) be the first derivative of -5 + 11*w - c*w - w**3. Let v(b) = b**2. What is l(v(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpp when three letters picked without replacement from {z: 6, p: 2, g: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2111947, 0.038, 1, 3 in ascending order.\nAnswer: -2111947, 0.038, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - z**3 - 39754 - 24727.\nAnswer: -z**3 - 64481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.213 and -11.5.\nAnswer: -11.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6. Let s(c) = 0 - 3*c**2 - 5*c + 1 + 2*c**g. Suppose -6*p = -5 + 29. Give s(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/(d*d**(-1\/2))*d**4\/((d\/(d**(-1\/3)*d))\/d) assuming d is positive.\nAnswer: d**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.06, -0.3, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**6\/42 + c**5\/7 + 9*c**4\/28 + c**3\/3 + c**2\/7 + 25. Find f, given that i(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 3\/71074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 17 = -2*i + 7*i, -4*u - 4*i - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - c**3 - 3*c**3 + c**2 - 3 + 2*c**3 + 3 + (-4*c - 6*c + 2*c)*(-5*c**2 + 2*c**2 + 2*c**2).\nAnswer: 5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150262272, 300524548, 450786824, 601049100, 751311376?\nAnswer: 901573652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*j - 88*j = 5346 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/92974 and 91\/4?\nAnswer: 185948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4560 and 55248?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13843*p + 13878. Give z(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*d**3 - 2*d**5 - 86*d - 1586 + 1586 + 31*d wrt d.\nAnswer: -40*d**3 - 204*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*sqrt(85)\/sqrt(5) + 4)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 6, w: 1, k: 9}. Give prob of sequence ws.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**3 - 9*t**2 - 87*t - 118. Let r(s) = 2*s**3 + 3*s**2 + 22*s + 30. Let z(h) = -6*g(h) - 22*r(h). Factor z(y).\nAnswer: -2*(y - 3)*(y + 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 447469\/21 - 21315. Let c = -1081\/84 - u. What is the common denominator of c and ((-10256)\/384 + 21)*4\/(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802725 a multiple of 1056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 8*f - 10. Determine i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16757*h - 83783. What is v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 39 = 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 4 + 11 - (6 + -23).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*80\/(-60)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.1 (b) 2 (c) 5 (d) 4\/471 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15661559.\nAnswer: 2039, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) -16 (b) -5\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6639599591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3483 = 305. What are the prime factors of p?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 9474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 10373270*p\/9 - 10373276\/3.\nAnswer: 2*(p - 3)*(p + 5186638)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660116898.\nAnswer: 2, 3, 7, 59, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -37 + 43. Find the first derivative of -76784*f + 76784*f - 116 + 45*f**b wrt f.\nAnswer: 90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6146188 (base 9) to base 2\nAnswer: -1100100000011010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-2)\/(-2)*(-68)\/102.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*w - 72 + 45*w**2 + 71 + 66*w + 26*w**2 to the form x*w + a*w**2 + f and give a.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3, -3\/17 in decreasing order.\nAnswer: -3\/17, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 30. Let n(g) = -g - 2. Let w be n(-6). Suppose 32 = w*h + 4. Calculate the highest common factor of h and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*h + 2*h - 190, -34 = -v + 5*h. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 20*v + 20*v)*(2 + 2 - 3 + (4 - 2 - 4)*(3 - 2 + 1))*(-4*v + v + 2*v**2 - v**2).\nAnswer: -3*v**5 + 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772985133 to the nearest integer?\nAnswer: 27803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(-12)*t)*t))\/t)\/t**8*t**(-5\/6)\/((t**(-2\/3)*t)\/t) assuming t is positive.\nAnswer: t**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*n - 4*n - 2*a, -2*n + 5*a - 21 = 0. Let f(k) = 3*k**n + 187 - 187. Let s(w) = -5*w**2. Determine s(f(l)).\nAnswer: -45*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = 2*r, -2*r + 3*s - 5*s = -4. Differentiate 320*v**2 - 77 - 320*v**2 - 107*v**r wrt v.\nAnswer: -321*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78054 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y + 3*y + 6 + 2. Let b(m) = -2*m**2 + 23*m - 57. Let o be b(5). Suppose 17*i + o = -94. Let h(g) = 6*g - 23. Give i*h(j) - 17*x(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 2*n**2 + 3*n + 2. Let a be z(3). Solve -2*u = a*c, u + 2*c - 1 = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 12484694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 280878.9nm in meters?\nAnswer: 0.0002808789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, -33, -13 in ascending order.\nAnswer: -33, -13, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 = -0. Suppose t = 5*c - c + 84. Let k = c - -25. Sort -5, k, -2.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-9 - 7 - -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 447248231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54366502 + 2?\nAnswer: 54366504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 10*v**2 + 2*v**2 - 6*v**2. Let i(x) = -x. Give j(i(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -6 + (-148)\/(-12).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 q when four letters picked without replacement from qhqqhhqhhqqhqhhh?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*v = -3*v, 2*s - v = 0. Suppose 183*i - 188*i = -600. Let b = -116 + i. Put b, s, -4, 1 in descending order.\nAnswer: b, 1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w - 1. Let y = 16 + -13. Let r be l(y). Solve 10 = r*x - 0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 126\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(52)*1 + sqrt(832)*2*-4)**2.\nAnswer: 56628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -12, -2, -6, -32 in decreasing order.\nAnswer: -2, -6, -8, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + -11 + 6 - -15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2167*0.2.\nAnswer: -433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -0.1, -7, 6, -3672.6, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from nnnnnnnnnnncncnncnnc?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 368579 = -30780. Let o = k - -1294. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11402 and -32454394.\nAnswer: -32442992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 6\/4)*(7 - 4). Find i such that -1\/2*i**2 + c + i = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.4 (b) 2\/3 (c) 13 (d) 28 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1 - 1)\/(4875\/(-150)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -938356\nAnswer: -938355.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 81 = 93 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h**5 + 4994*h**4 + 830654*h**3 - 90836466*h**2 - 30370932*h = 0. Calculate h.\nAnswer: -453, -1\/3, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 232850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21275 - -21017. Which is the biggest value? (a) w (b) -4\/3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1431*d**6*t**2 - 34*d**6 + 6639*d**2 + 125*d*t**2 wrt d?\nAnswer: -171720*d**3*t**2 - 4080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*i = 3*f + 38 - 29, 0 = 3*i - 6*f + 5*f + 27 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11*w*((((w**(-8)*w)\/w)\/w)\/w)\/w)\/(w**(3\/5))**(3\/49) assuming w is positive.\nAnswer: w**(236\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2.1, 0.02 in ascending order.\nAnswer: 0.02, 0.4, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + (8 - 2) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4574\/(-1))\/(-2*(7 - 6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -20, -18830 = 15*c - 18*c - 4*t. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 820*b**2 + 3345*b + 2520.\nAnswer: -5*(b - 168)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {p: 1, x: 1, u: 2, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 100 = 120. Suppose -12 = -2*y + 6*y, 0 = -4*v + 4*y + k. Suppose a - 1 - 11 = -v*x, -5*a = 4*x - 30. Solve -p = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 49583, -2\/3, -0.4, -2\/9, 0.2?\nAnswer: 49583","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551, -2889, -7775, -16019, -28431?\nAnswer: -45821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**3 - m**2 + 1. Let u be x(-1). Let k be (-7)\/((-14)\/u) + -2. Put k, -1, 4 in descending order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5 - 2 - b)*(-2 - 4 + 4) + 0*b + 0*b + 4*b - 3*b + 2*b - b.\nAnswer: 6*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 29178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-76)\/(-16) + 2\/8. Suppose z = -2*a + 21. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -121*o**4\/12 + 2*o**3\/3 + 1167*o**2\/2 - 435*o - 2. Find the first derivative of a(n) wrt n.\nAnswer: -242*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 56. Suppose 3*v - w = 10, 4*v - 3*w = m + 1. Solve -5*r = -v*j - 20, r = -3*j - 24 + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, d: 3, t: 3, m: 2, g: 1}. What is prob of sequence bd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/(-6))\/(-42))\/((-820)\/574)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 103 = 527. Suppose -110*r - 75 = -j*r. Do r and -15 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9944*v - 19855*v + 9932*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 12 (c) -2 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -1250, -2312, -3670?\nAnswer: -5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -3\/20*d**4 + 23 + 0*d**2 + 0*d**5 + 1\/50*d**6 - 1\/5*d**3 + d. Factor a(t).\nAnswer: 3*t*(t - 2)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 1 + 2 - 1. Calculate a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 56. Suppose -35 + 77 = r*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 837?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/1709 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m + 159 = 4*t, -3*t - 12 = 0. Suppose -3*k + 12 = -z + m, -12 = 3*k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7772 (base 9) in base 7?\nAnswer: -22502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 817 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + m**3 + 0*m**3 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 13*h**2 + 6*h + 1. Let j be z(6). Let m be -6*(2 + (0 - j)). Let d(x) = x**2 + 5*x + 9. Calculate the remainder when 56 is divided by d(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 151 - 22?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 11) in base 15?\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28\/((2\/(-3))\/(1\/(-3))) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -94*f**2 + f + 4. Let w(t) = 183*t**2 - 2*t - 9. Give -9*q(j) - 4*w(j).\nAnswer: 114*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -355\/3 (c) -76 (d) 3 (e) 2 (f) -162 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3*t - 2110210*c**2*t + t - 5415960 wrt c.\nAnswer: -12*c**2*t - 4220420*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 265.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-2210)\/(-221). Put 5, -2\/3, -0.004, 3, k in ascending order.\nAnswer: k, -2\/3, -0.004, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z - 5*p + 35, 15 = 5*z - p. Suppose 7*o = 6*o + 15. Let r = 0 - -1. Solve -z*k - o = r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p. Let k(f) = -2*f**3 - 2*f**2 + 2*f + 1. Let w be k(-2). Let i(h) = -7*h. Let o = 12829 - 12833. Give o*i(t) + w*c(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or 3693?\nAnswer: 3693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32615, 260166, 877575, 2079770, 4061679?\nAnswer: 7018230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d**3 + 15*d**3 + 16*d**3 + 9*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 236 = -2*g - 220, s + 4 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = -14*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20553 and 216411.\nAnswer: 3678987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Which is the biggest value? (a) 4 (b) r (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-250)\/75)\/((-15)\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010 - -10111010111010110100?\nAnswer: 10111010111100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16*1 + -2)\/((-9)\/(-6)). Let i = -0.0846 - 0.0154. Which is bigger: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*h - 10, 2*h + 3*p - 2*p = -1. Is 2\/39 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23752043 and 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 4*u + 0 - 3 - 436*u**4 + 466*u**4 to the form b + c*u + w*u**3 + d*u**4 + t*u**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Let l be (2 + -4)\/(26\/(-65)) - 3. What is the smallest value in 0.5, a, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -1971.5909.\nAnswer: -1973.5909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v**2 + v - 1. Let n(u) = -12*u**3 + 7*u**2 + 3*u - 4. Let s(r) = 5*b(r) - n(r). Suppose -4*c + 4 = -0*c. Does 16 divide s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2354\/7 (b) -0.1 (c) -1\/7 (d) 0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 18*a + 19. Suppose 9*r - 93 = -246. Let q be z(r). Solve -25 + 10 = -q*k + 3*f, 0 = -2*k - 3*f - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -388\/777 - 1\/1554. What is the nearest to y in 1, -0.9, -0.2, 1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1 + (2 + 5 - 1)*(0 + 3 + 2))*(-2*p - 2*p + 0*p) to z + n*p and give n.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 22 - 9 - 12. Let y(u) = u**2 + 2*u - 4. Let x(z) = -5*z**2 + 3 + 0*z**2 + 5*z + z**3 - 2. Let r be x(4). Calculate r*j(g) + y(g).\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/15 + 202\/(-10). Let x = 3 - f. Solve -3*o - x = 3*r, 0*o - 3*o - r = 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 10:51 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 152 = -3*c, -240 = 2*c + 3*c - 5*b. Let j be c + (12\/(-1))\/(-3). Let u = -46 - j. Let a(d) = d - 1. Give a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-180)\/54)\/(1*1\/(-3)). Suppose d - b = -d. Suppose -4*w - 40 = -d*w. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 14*v**2 - 39*v + 7. Give h(8).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -8944\nAnswer: 1\/8944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (162\/(-21) - -5). Which is the fourth biggest value? (a) 0 (b) -2\/21 (c) 7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2*v + 1776. Let q = -278 + v. Is (-3)\/2 + q\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-4))\/(17 - (3 - 232\/(-16))). Let n(g) = -g**2 - 10*g + 103. What is n(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let c = 112 - 114. What are the prime factors of c\/a + 238\/6?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 1.5. Let a = i - 2.9. Let t = -3.999944 - a. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*g**4\/7 + 1060*g**3\/7 + 2976*g**2\/7 + 1872*g\/7 = 0.\nAnswer: -6\/5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7571 at most as big as -7595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/9)\/((-2)\/27). Sort -4, j, 2 in decreasing order.\nAnswer: j, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 0 + 5\/12*o**4 + 7\/6*o**3 - 1\/20*o**5 - 2*o - 1\/2*o**2. What is the units digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 5*m**3 + 9*m**3 - 9*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-20)*(-5)\/(-4). Let j = 262\/5 - 2131\/40. Let z = j + t. What is the closest to z in -0.5, 4, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 101982, 101963, 101944, 101925, 101906, 101887?\n\"Answer: -19*j + 102001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-1)*(-3)\/6\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v**4 - 4*v**3 + 23*v**2. Let u(c) = -22*c**4 + 9*c**3 - 47*c**2. Let x(a) = -9*b(a) - 4*u(a). Find the third derivative of x(k) wrt k.\nAnswer: -264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415023693 a multiple of 721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -70. Let v(w) = 3*w - 12. Let y be v(x). Suppose -y*j - 4 = -c, -3*c - j - 6 = -c. Let s(i) = -4*i - 2. Determine s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + 1 - 21) + -1 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 7. Suppose 115 - 140 = -5*j. Let c(u) be the first derivative of -1\/2*u**2 + 4 + 4*u. What is j*c(f) - 3*m(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 1. Let f be z(-3). Suppose -3*t = f*j - 2*t - 16, -4*t - 2 = -2*j. Let m = 34 + -34. Solve m*h - 3*h = j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 17*y + 1. Let t(k) = -2*k**2 + 8*k - 1. Let x(u) = -5*u**2 + 201*u + 177. Let i be x(41). Determine i*t(v) + 6*l(v).\nAnswer: -2*v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, 1 f, and 1 q when four letters picked without replacement from {q: 6, r: 4, h: 3, x: 1, f: 1}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 6*m + 4. Let x be h(6). What are the prime factors of (-2)\/x*(-280)\/7?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -21. Suppose -3*n + 2*q + 11 = -r, 2*n = 5*q + 22. Suppose n*x - x = 0. Solve -3*w - w + 20 = x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:38 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6*x + 42 = -2*z, 105 = -5*z + 4*x for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**25\/x))\/x*x*x**(-4)*(x**(19\/2)*x)\/(x\/(x**(-3\/14)\/x)) assuming x is positive.\nAnswer: x**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 9*s - s)*(342745*s - 70 + 278 - 342751*s) to m*s + a + d*s**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ffdffdffdfddfdddfddf?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572802112?\nAnswer: 2, 1709, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(1\/13)*r\/r**(3\/5)*(r\/r**(-1\/14))\/r*r**2 assuming r is positive.\nAnswer: r**(3229\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 213344?\nAnswer: -213324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = 3*p, -7 - 1 = -5*u + 2*p. Let r = 11 - 11.1. Which is the closest to u? (a) 0.2 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o - 3686. Give u(206).\nAnswer: -1832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164424 by -7.\nAnswer: -164424\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/8)\/((-1)\/6). Let m be 0 + 1 + -4 + j. Solve -3*g = -6*g + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/9)*t)\/t)**(-3\/17)*t**(-5)*t**0\/t*t*t)**(-16) assuming t is positive.\nAnswer: t**(3296\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10a (base 11) to base 13\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from kswsksk?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 12*n - 3. Suppose 3 = 4*l + 15. What is the remainder when t(-3) is divided by (-3 - -3) + l + 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 38*s - 188. Calculate n(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 35. Let p be 2\/7 + 33\/s. Put p, -3, -4 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.281 - -0.481. What is the smallest value in -3, -15, v?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 89 and -238.197336.\nAnswer: -149.197336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2926399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1085 and 1550?\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 228952074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**3 + 676*t**2 + 681*t - 18642. Determine i(136).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3240 and 18720?\nAnswer: 168480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*x - 51. Suppose -x = 4*s - 9*s. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -10.99. Let w = s - 9. Suppose 3*o + 15 = 6*o. What is the biggest value in -0.5, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 113*z + 2239. Let k be r(57). Is 5545 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2469*b**2 + 97*b - 96. List the prime factors of j(1).\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205666365.\nAnswer: 3, 5, 2281, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, p: 3}. What is prob of picking 2 p and 1 h?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + -5 - 193\/2*-24.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 167, 250, 333, 416, 499?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/10335 and -68\/8307.\nAnswer: 2201355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 y when three letters picked without replacement from {l: 1, b: 1, y: 3, h: 3, d: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:56 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7052)\/(-364) + -19 + 6\/(-26)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 1, x: 3, t: 4, h: 4}. Give prob of picking 1 t, 1 i, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x**2 - 2. Let p be i(-2). Suppose -u + 6 = 5*h - p*h, 12 = 5*u - 3*h. Is 3 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 20 = 10. Let r be 4\/(-10) + 54\/o. What is the third smallest value in -3, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v - v)*(802 + 857 - 897*v - 1664 - 2*v + 5*v - v + (3 + 0 - 1)*(-2*v + 0*v + 3*v) + 5*v - 2*v - 4*v).\nAnswer: 2682*v**2 + 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-4*12\/(-16)). Suppose 2*d - 4*r - 22 = u, d - 5*d + 2*r + 26 = 0. Let t(a) = -11*a + 5. Let c(k) = -3 - 39*k + 6 + 6 + 9. Give d*c(z) - 18*t(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-10 - (-2 - 9)) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 258*y**2 + 6716*y + 564. Give p(93).\nAnswer: 2424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + 95 - (23 - 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42171332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/1215*27*3*3*(-9)\/(-1962)?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 3. Let w be q(-7). Let l be w\/8*(-1 + 1). Suppose -5*f + 4 + 1 = l. Which is bigger: f or -2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8019 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 216*w + 13*w + 194*w + 4*w - 6*w + w + 0*w + w - 2*w + (1 - 3 + 4)*(1 - 2*w - 1) - 2*w - w + w.\nAnswer: 415*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 58940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*(sqrt(700) - (-4 + sqrt(700) + (sqrt(700) - ((sqrt(700) + 3 - sqrt(700)) + sqrt(700) + sqrt(700))) + sqrt(700))) + 3)*4)**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 435, 1295, 2587, 4335, 6563?\n\"Answer: 4*b**3 + 192*b**2 + 256*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.4313 - 0.0439\nAnswer: -2.4752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554 + 107842*f - 107775*f + 554.\nAnswer: 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 2*j**2 - j + 1. List the prime factors of r(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*f**2*o**3 + 3*f**2*o**2 - f**2*o + 25*f*o**4 + 588*o**4 - 430041*o**2 wrt o?\nAnswer: 780*f**2 + 600*f*o + 14112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 53 = -21. Let t = s - 20. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36608 and 206128?\nAnswer: 36278528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 212. Suppose -4*v + 7*v - 9 = 0, -u + r = 2*v. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from gqgggqqgqqqquqggggqg.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1265, 1264, 1263, 1262?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 2, f: 10}. Give prob of picking 2 f.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14332 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: In base 3, what is -11020112010012 - 2?\nAnswer: -11020112010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*s - 1 - 5 = 0, q - 3*s = 3. Suppose -5*h - 4*x = -57, 0*h + 5*x + q = 2*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/(-14))\/(4*6\/16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159397*p**3 - 49693*p**3 - 23816*p**3 + 251273*p**3.\nAnswer: 337161*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*x + 6 = -3, -3*h - 5 = x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*l + 147*l - 44379 = -f, 0 = -4*l + 3*f + 88713. What are the prime factors of l?\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 6. Let q(s) = -5. Let y(o) = -2*a(o) - 3*q(o). Let j(t) = 7*t + 10. Let z(v) = -v - 1. Let n(h) = j(h) + 2*z(h). Give 3*n(c) - 8*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -66*i + 65*i - 6, -4*i = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((208\/2548)\/((-10)\/35))\/(12\/(-15))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 3*a - 6*a + 20*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -392 and -1192.8?\nAnswer: 467577.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3859.000007272 - 3859. What is i rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 32 - 38 + y + 70.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -91*j + 126. Let t(p) = -33*p + 45. Let u(r) = 5*k(r) - 14*t(r). Let o(a) = -8*a + 18. Determine o(u(n)).\nAnswer: -56*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21*1 - 12\/4. Suppose 0 = -2*x + 9 + 3. What is the remainder when (v - -1) + 2\/(-1) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -8 - 12. Let v be ((-2)\/y*2)\/((-29)\/(-116)). Solve -u - x = 3, 4*u = 5*x + 29 + v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535307 (base 12) to base 6.\nAnswer: 44110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*l + 36*l + 486. Let a be -2 + (8 - 0\/1). Suppose -l = -a*r - 57. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 + d. Let m be p(3). Let k = 5 + -5. Suppose k*o = o - 11. Solve -j - o = 5*c, -4*j + 10 = m*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/120 + v**4\/6 + v**3\/3 - v. Let h(g) be the second derivative of f(g). Is 7 a factor of h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4976136022?\nAnswer: 2, 11, 13, 463, 37579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let t = -1 - n. Let q(d) = -5 + t*d**2 + 4*d + 0*d**2 + d**2. Calculate q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m - m**2 - 11*m - 9*m. Let t(i) = 3*i**2. What is x(t(h))?\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*q - 3*n + 805 = -1414, -4*q - 3*n + 11 = -3*q - 8 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + 2*r**2 - 2. Let l(b) = 0 + 1 - 2102*b**2 + 2101*b**2. What is 2*h(u) + 4*l(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 9 + 7. Suppose 30 = 5*o - 5*y, -o = -3*y + y - r. What is the remainder when 43 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1095 + 612 - 358*q**2 + 413 + 306 + 341 wrt q?\nAnswer: -716*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2582 and 0.8.\nAnswer: 2582.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -3 - 3) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1670 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 + 29*o**2 - 47*o - 2. What is s(-11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-2*z**3 + 0*z**3 + 4*z**3)*(-11*z**2 - 9*z**2 - 4*z**2).\nAnswer: -96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32356081 to the nearest integer?\nAnswer: 5688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 12*c - 4 = 2*v, -5*v = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 24. Let m be c(-20). Let s be 32\/m + (-60)\/7. Is 1 + 39 - (s + 11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r**(4\/5))\/(r**(-2\/3))**(-2\/59) assuming r is positive.\nAnswer: r**(5113\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4985\/9 + -553. Let x = -25\/18 + y. Is 0.02 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 336 (b) 104 (c) 3.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 22*y + 111. Calculate d(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*t + 5 + 5, t = 4*v + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*r**3 + 8827*r**2 + 77*r**3 - 227*r**3 - 8827*r**2.\nAnswer: -300*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 3. Let j be p(-2). Let d(b) = -b**2 + 11*b + 18. Let u be d(13). Let g = u - j. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546522 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -575, -156, 661, 2008, 4017?\nAnswer: 6820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5258172 divided by 6?\nAnswer: -876362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107762161 to the nearest integer?\nAnswer: 10381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42847, -85677, -128503, -171325?\n\"Answer: 2*b**2 - 42836*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1887 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40607\/41 or 989?\nAnswer: 989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-1)\/10*6). Suppose c + 2*j + 0*j - 35 = 0, -2*c - w*j = -70. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -11 - 9) + -7 - 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s - 360. Determine a(14).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414572 (base 14) to base 16.\nAnswer: 2198a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0*i**2 + 4*i**2)*(-6*i + 4*i + 0*i) - 4*i**3 + 5*i**3 - 3*i**3 - 5*i**3 - i**3 + i**3 - 4*i**3 + 3*i**3 - i**3 + i**3 + i**3 + 6*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*r + 722, 4*j - 14*r = -18*r + 576. Calculate the remainder when j is divided by 145.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:37 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 916 + -4599\/5. Which is bigger: -4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 10*n**2 - 7*n - 4*n - 5*n**3 - 5*n = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c + -1379b?\nAnswer: -1375d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/13 + 4*y**2 - 50*y\/13.\nAnswer: -2*y*(y - 25)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - (0 + -3). Suppose 2*u = 4*t - 5*t + 12, 4*u - 6 = -t. What is the remainder when y*(t\/2)\/3 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308324 smaller than 308328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = t + 12, 4*t + 0*s + 48 = s. Let q = t - -6. Is q less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3310112 + 3?\nAnswer: 3310115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 1. Let l(t) = -t - 3. Let b(y) = -1. Let g(q) = -7*b(q) + 2*l(q). Calculate -5*d(v) + 2*g(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3897.99 - -3876. Let k = -22.444 + -0.456. Let l = k - y. What is l rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 474, 2452, 5756, 10392, 16366, 23684, 32352, 42376?\n\"Answer: m**3 + 657*m**2 - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*c = -33, -344*a + c = -335*a + 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128847156 divided by 654?\nAnswer: -197014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11658687*o**2*w - 13676004*o*w wrt o.\nAnswer: 23317374*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*k - 376 = 0, 3*d - 112*k + 108*k = 564. Calculate the highest common factor of 1786 and d.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 556729663 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-39)\/15. Let r = 26268 + -26256. Solve -3*x + 1 = -s + r, s = x + l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-35)\/(3 + 2). Suppose j*d = 18320 + 734. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 77, 111?\n\"Answer: 34*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 u when three letters picked without replacement from {b: 1, s: 1, f: 2, u: 2, w: 1, q: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 403336 = 112749. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 37*p = 36*p + 3936 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 543?\nAnswer: 30408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7.2. Sort -4, h, 4, 3.\nAnswer: -4, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12587264 (base 9) to base 4.\nAnswer: 113221121323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1600 divided by 3.\nAnswer: 1600\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+13442988.095\nAnswer: 13442988.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 11) to base 15\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 27*s**2 + 2*s + 101. What is p(-27)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhchhhzthhzthhzhctz. Give prob of sequence hzz.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**8\/3360 + z**7\/420 - z**4\/6 - 4*z**2. Let y(u) be the second derivative of a(u). Let y(k) = 0. What is k?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y + 12. Let l be a(-6). Let u(c) = c**2 + c + 2. What is the units digit of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 2)*(-1 - y**2 - 2*y**3 + 0*y**2 + 0*y**2) in the form n*y + h*y**3 + t*y**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 - 2*j**2 + 1. Let t(d) = 13*d**3 - 9*d**2 + d + 5. Calculate -9*s(o) + 2*t(o).\nAnswer: -o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*m + 105*m = -12. Let s be -2 - ((-57)\/45 + m\/18). Is s bigger than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 295*m + 44217. What is g(-150)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 449887 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(60)\/sqrt(96))*1*-6 - ((5 + sqrt(17) + 1 - sqrt(17)) + sqrt(102)\/(sqrt(6) - sqrt(216)))**2*-6.\nAnswer: -192*sqrt(17)\/5 + 5502\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-3))\/2*(-6)\/(-165)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, 124, 253, 380?\n\"Answer: -o**2 + 134*o - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 53 = -g, -12 - 38 = -4*b + 3*g. Let t(r) be the second derivative of r**5\/20 - 11*r**4\/12 + 2*r**3\/3 - 7*r**2\/2 + r. Is t(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1*(sqrt(704) + -1) - sqrt(704)) + -2 + (sqrt(704) - (sqrt(704) - (sqrt(704) + sqrt(704) + 2)))) + 3)**2*5.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005218748 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 6*v**2 - 4*v - 8. Suppose 2*d - 12 = -d. Let r(a) = -4*a + a**2 + 0 + d*a - a - 1. Let k = -12 + 6. Give k*r(x) + n(x).\nAnswer: -2*x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42, -41, -54, -87, -146, -237?\n\"Answer: -i**3 - i**2 + 11*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.95 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) 13\/12 (c) 2\/15 (d) 4.6 (e) -1\/3 (f) 0.5 (g) -2\/99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 31*m - 109 = -28*m, 10*g - 3*g = -2*m - 77 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311606 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 15*g**2 - 12*g + 12. Let y be z(14). Suppose -4*f + 5*f + 5*w = 50, 44 = f + 2*w. Calculate the greatest common factor of y and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 26 + 25 = 0. What is the remainder when 74 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168950*b**2 + 84447*b**2 + 21*b**3 + 84503*b**2.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7 - 5. Let w = -81.5 - -79. What is the closest to 2\/7 in 5, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*i**4 + 1\/2 - 5\/4*i**3 - 7\/4*i + 9\/4*i**2.\nAnswer: (i - 2)*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -3022.\nAnswer: -3022.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25266*s**2 - 25241*s**2 + 50505*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34653*j**3*z**4 + 2*j**3*z - 66*j - 4*z**5 - 2*z + 21 wrt z.\nAnswer: -415836*j**3*z**2 - 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j. Let n be -1 - 7\/((-21)\/9). Give p(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(76\/(-24))*49\/(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 2)*193081\/(-3). Let s = 46899 + t. Suppose 4 = 5*p + 29, -4*b - s = -4*p. Round b to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/130637 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -23, -37, -57?\n\"Answer: -3*h**2 + h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1 + -23322)\/(-13 + 12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*j - 257*j + 2*a - 11 = 0, 0 = 6*j - 3*a - 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6576\/(-27948) - 22\/(-238)) + (-852)\/14.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let t(n) = 3*n + 6. Let z(x) = -t(x) + 4*v(x). Let o(g) = g**2 + 7. Let a be o(0). Let s = 5 - a. Give z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200019.\nAnswer: 3, 61, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6179 - 6168. Let c(o) be the first derivative of -22\/5*o**5 + 0*o + 0*o**3 + v*o**2 + 0*o**4 - 10. Find the second derivative of c(k) wrt k.\nAnswer: -264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.1676 micrometers in millimeters?\nAnswer: 0.8001676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -856 + 907. Suppose 103153 + 54437 = -g*u. Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-5 - (20 + -13)) + -8 + 18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*8.21561\nAnswer: 8.21561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 8. Suppose -r*d + 44 = -4. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8563*o + 2588*o = 531775 for o.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 4 + 0 - 5. Let r be h(4). Let n(v) = 4*v - 3*v - r*v. Let u(j) = -j**2. Determine n(u(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 102 = -8*x - 210 - 225 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 16*y**2 + 1441*y - 1438. Give o(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30735709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54 and 280327069786.\nAnswer: 280327069840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = 2*b. Suppose -5*s = -3*s - b. Calculate the remainder when s is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 4. Suppose 4*f - 4*m = 92, 0*m + 107 = 5*f + 3*m. Let c = -15 + f. Suppose 3*n = -c - 2. Let l(p) = -p + 1. Calculate n*z(a) - 14*l(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*x**2 + x - 745*x**3 + 84*x**2 + 90*x**2 + 86*x**2 + 2 to n*x**2 + r*x**3 + h + d*x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/12 + ((-832)\/12)\/(-8). Let g(y) = y**3 - 8*y**2 - 4*y - 20. What is g(a)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*w - 9 = 4*z + 141*w, -3*w = 4*z - 1. Solve z*o - 11 = b - 36, -4*o + 5 = 5*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1381023 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-5)*(-65)\/26. Suppose 3*q - 4*s = 5 - 2, -d*q = -s - 2. What is the smallest common multiple of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.77 minus 71398532?\nAnswer: -71398535.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = -18. Let m be (10\/(-4) - -3) + 7\/2. Suppose 4*h = -x - 5, 6*h - 7*h + 20 = -m*x. Solve h = 3*w + c + l, 12 = -3*c + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148\/3418009 or 0?\nAnswer: -148\/3418009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**5\/30 + 149*m**4\/6 + 22201*m**3\/3 - 150*m**2. Find a, given that x(a) = 0.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + -78. Let u = -72 - w. Solve -5*r + 5*c - 5 = 0, -r - 5*c = 1 + u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 + p**2 - p. Let s be x(1). What is the nearest to 0.1 in s, -2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + 2.92. Let w be -2 + 7\/((-105)\/1098). Let k = -75 - w. Sort k, 2\/3, h.\nAnswer: k, 2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69037*o**3 + 34520*o**3 + 34515*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90056 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/21 and -3\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11389 is divided by 1406?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-2)\/72)\/(22\/88)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2992 and 6256.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 126 = 3*j, -4*o - 5*j + 48 = -58. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.15227 microseconds in seconds?\nAnswer: 0.00009515227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 205457 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + 461 + -513?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 51*h**3 - 57*h**3 + 27*h**3.\nAnswer: -81*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3353747*a**3 - a**2 - 3353638*a**3 + 2*a**2 - a**2.\nAnswer: 109*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*f + 4*f**2 + 11*f)*(5*f**2 - 3*f**2 + 0*f**2) to the form b*f + v*f**4 + h*f**2 + t + m*f**3 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1856 and -17.\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/30 + ((-44)\/(-12) - 5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2214 + 4428 - 2*b - 2214. Let y(c) be the first derivative of -11*c**2\/2 + 1. Determine y(w(u)).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11875.985414 + -11876. Round m to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 3. Let r = -6 - -10. Let y be o(r). Find the third derivative of -k**4 - 4*k**4 + y*k**2 - 4*k**2 wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/3, 0.5, -0.2 in increasing order.\nAnswer: -10\/3, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768*v**4 - 161283*v**3 - 656778*v**2 + 2568*v = 0. Calculate v.\nAnswer: -4, 0, 1\/256, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 5*g, 0*d - 2*d + 2*g + 34 = 0. Calculate the remainder when d is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.013016 times -0.3?\nAnswer: 0.3039048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 301.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.76 and -98.36?\nAnswer: 120.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (6 + -10)) + 275. Let m = 62 - 37. Calculate the greatest common factor of m and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 6*s**2 + 9*s - 2. Let z be a(7). Suppose z = -2*v + 6*v. Suppose -v*b + 14 = -b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 8*g**2 - 4*g - 23. Suppose 4*q = 4*n + 9*q - 43, 3*q + 26 = 5*n. Give i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(6\/5))\/s)\/(s\/(s\/s**(2\/13)))*(s\/(s*s**(-9)*s))\/(s*s**11*s*s) assuming s is positive.\nAnswer: s**(-322\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43402404 (base 5) to base 7\nAnswer: 3110134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52093.78m to millimeters.\nAnswer: 52093780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 4*d - 186, -3*w - 4*d + 526 = 0. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + 6 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16\/(-6) - (-1301652)\/1026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.74618.\nAnswer: 2.23854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:22 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*m**4 + 4)*(3 + 7 - 4 + (-5 + 1 + 2)*(18 - 14 + 19)).\nAnswer: 80*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4215.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(3 - 7 - -3) - 128. Let f = -68 - s. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 3*k**4 - 3*k - 3*k**4 + 0*k**4 + 5*k**4 + (-3*k**2 - k**2 + 3*k**2)*(-k**2 - 2*k**2 + 2*k**2) + 4*k**4 + 2*k**4 + k**4.\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -1271, -3141, -5759?\nAnswer: -9125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 + 17*a - 1\/12*a**4 + 0*a**3 + a**2. Let c(n) = -97*n**2. Give l(c(r)).\nAnswer: 194*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 4*n**7\/7 - 5*n**3\/3 + 7. What is the third derivative of x(q) wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.325?\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38785.0012 - 38804. Let r = c + 19. What is r rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363210119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 - 220002310?\nAnswer: -220001233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19366178, -19366177, -19366176, -19366175?\nAnswer: -19366174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 4. Let k = 170 - 168. Determine m(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(1\/(-2)). Suppose 2*l - 9 + v = 0. Let h(n) = -n**2 - 21*n - 27. Calculate the remainder when h(-19) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36518605.\nAnswer: 5, 271, 26951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(-2 + -5*sqrt(1152)*-3) + 4).\nAnswer: -2880*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -714362 (base 8) to base 15\nAnswer: -49cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9559?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -12*a + 43 - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52155 and 8546466.\nAnswer: 3477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 57, 5, 20306 in descending order.\nAnswer: 20306, 57, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -377.57?\nAnswer: -377.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyhdhffhyfhhihdyghff. Give prob of picking 1 h, 1 f, and 1 i.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 4*y**3 - 2*y**2 - 4*y + 3.\nAnswer: -(y - 3)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19306 + 19306. Let q(l) be the second derivative of -8\/15*l**6 + 3*l**5 + 0 - 8\/3*l**3 - 4*l**4 + z*l**2 + 33*l. Determine w, given that q(w) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -499697594 divided by -26246\nAnswer: 19039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -20 - 6 - (-1 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 22 = 2*d - 5*d, -14 = -5*d - 3*f. Suppose -d*q + 5*q = 5. Let p(x) = 2*x**2 + 3*x + 2. Let j(o) = -6*o**2 - 8*o - 6. Calculate q*j(b) + 14*p(b).\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72.2 + 72. Which is the closest to 1? (a) 0.5 (b) o (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70399 is divided by 442.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 32 = -2*g. Let z(r) be the first derivative of r**3\/3 - 7*r**2\/2 + 5*r - 31. Is 5 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.6 + 29.69. Let o = 0.09 - q. Which is the smallest value? (a) -5 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 479*a**2*z**2 - 2*a**2*z + 452754*a**2 - 115*z**4 wrt z?\nAnswer: 958*a**2*z - 2*a**2 - 460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*l = -f + 13032, 5*f - 3*l - 32590 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 4:11 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4221\/5 - 29557\/35. Let b = -2 + 2. What is the smallest value in b, -3\/5, c, 2\/25?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {n: 5, t: 3, h: 1, l: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by -37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, f: 6, a: 11}. Give prob of sequence cf.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.07455795 rounded to 4 dps?\nAnswer: 0.0746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13785 - 14463. Which is smaller: -2\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965.372 hours in days?\nAnswer: 81.8905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -283866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 11*r**2 - 10*r + 10. Let f(k) = k**3 + 2*k**2 - 7*k - 6. Let j be f(-4). Let u be v(j). Suppose 4*y - 4 = 4. Solve u + y = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248 + -185. Let w = n - 62. What is the greatest common divisor of 10 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (64\/240)\/((-4)\/(-50)). Let z = 11\/3 - y. Which is the second biggest value? (a) 1\/7 (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2089 + 0.7911. What is the nearest to -2\/5 in -10, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/12 + (-64738)\/36. Let f = 1795 + k. Calculate the common denominator of -61\/22 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1097*l. Let c(m) = -4*m**2. What is c(o(u))?\nAnswer: -4813636*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**4 - 2*t**2 + 4*t - 4. Let b(q) = -2*q**4 - 3*q**2 + 3*q - 4. Let u(f) = -2*b(f) + 3*j(f). What is the derivative of u(l) wrt l?\nAnswer: -20*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 68. Let n be m(0). Suppose 0 = 2*l - 2*w + 44, -l + 3*w = 4*l + 102. Let d = n + l. Round d to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164566 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290707 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 2*g + 88. Does 33 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, -1\/365, -0.2, -3?\nAnswer: -1\/365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/5)\/(3 - 0))\/((-966)\/1035)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015735126 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1634285137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6690 + 8*i**2 - 30*i + 30*i + 3352 + 3338.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.8+1668644\nAnswer: 1668642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71254 and 2369.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -6466 - -6465.958. What is the second smallest value in -4\/3, -0.5, 3, 5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 24 = -18. Suppose x = -5*u + 6*x + 30, 0 = -2*u - f*x - 4. Suppose 2 + 0 = u*g. What is the highest common divisor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/(((-39)\/(-18))\/13).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4770867*g**5 + 80436*g**2 - 6*g + 4 wrt g.\nAnswer: -286252020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*i. Let w be (999\/(-21))\/(30\/6). Let c = w + 68\/7. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4732\/21531 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 5*i - 1. Let d be l(-2). Solve -d*r - 8 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 11:53 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155627659 to the power of 1\/2, to the nearest integer?\nAnswer: 56175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -66*j - 290. What is y(-10)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 9*n - 112. Let h be ((-5)\/(-2))\/((-1)\/n). Let l = -71 + h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/120 + i**5\/20 - 2*i**4\/3 + 5*i**3\/6 - 41*i**2. Let r be f(-5). Solve 0 = r*a - 40*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30589?\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*i**2 - 84*i - 16 = 0. Calculate i.\nAnswer: -1\/6, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 15. Let h = 6 - u. What is the nearest to 0.2 in h, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -2*u - 5*n - 34, -3*u - 4*n + 48 = -7*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10229*f + 5450. Is w(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -326952 and -0.23.\nAnswer: -326952.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -179266.557 * 2\nAnswer: -358533.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*m**2 + 828*m - 828*m)*(5*m - m + 1 - 5*m).\nAnswer: -22*m**3 + 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2254 - 104. Let k = -418 + w. Calculate the highest common divisor of k and 540.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36431341 or 36431340?\nAnswer: 36431340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3044 + -2704. Is 55 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 8 + 1 - 19*w to x*w + n and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 3*f**3 - 4*f**3)*(0 - 3 + 3*f + 2).\nAnswer: -15*f**4 + 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 19, -3 in decreasing order.\nAnswer: 19, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v + 7*v - 3*v. Let f be 30\/9*(-6)\/(-4). Let t(q) = 5*q**2 + f*q**2 - 3*q**2 - q**2. Give t(k(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 5. Let l be (-12)\/54 + 76\/18 + -2. Is (141\/(-12))\/(l\/i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 1. Let i(g) = -g**2 + 2*g - 6. Let a(c) = -i(c) - 6*v(c). Let t be (-5)\/(1 - 0) - 2. Is a(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 474 + -353. Which is the third biggest value? (a) 5 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 1215*y - 1232. Let k(t) = t**3 + 607*t + 615. Let w(a) = 5*k(a) + 2*u(a). What is the derivative of w(n) wrt n?\nAnswer: -3*n**2 + 605","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**6\/6 - 27*v**5\/2 + 3365*v**4\/12 + 1260*v**3 + 1960*v**2 + 642*v. Factor q(l).\nAnswer: 5*(l - 28)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5247 (base 9) in base 5?\nAnswer: 110400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s**2. Let n(y) = 9*y**2. Determine k(n(z)).\nAnswer: 1863*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989.5315 decades to months.\nAnswer: 118743.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/98 and -61\/441?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14321621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 1969a1?\nAnswer: -1969a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 18345552*a + 1 - 18348507*a to the form m*a + o and give m.\nAnswer: -2955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 96, 109, 122, 135, 148?\n\"Answer: 13*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29981 divided by 29981.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 8. Let h(w) = 10*w**2. Calculate y(h(j)).\nAnswer: -10*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a day in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 6*z**2 + 17*z - 57. Determine k(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1507?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n - 3*n)*(3*n - n + 0*n) - n**2 - n + n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1642, 2\/9, -4, -5, -93 in ascending order.\nAnswer: -1642, -93, -5, -4, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 3857?\nAnswer: 11571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = -92. Calculate the common denominator of j\/(-144) + (-4)\/18 and (-2)\/(-6)*(-70)\/(-12).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2771 - 2768. Solve 5*m - 14 = z, -5*z + h*m - 5 + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 7 + 2 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*(-3 - -2)\/(-3). Suppose 0 = v*n - 4 - 59. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/82 or 27\/11?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -792 by -1045.\nAnswer: 72\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -866, -3516, -7916, -14066, -21966?\nAnswer: -31616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y + 43 - 43 in the form w*y + z and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*s - 4*w + 68, 4*w - 74 = -3*s. Calculate the remainder when s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4)\/7 - 0\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 2*a**4 - 3*a**4 + (5*a**3 - 4*a**3 + a**3)*(3*a - a - a) + 5 - 5 - 3*a**4 - 133*a**4 - 302*a**4 + 164*a**4.\nAnswer: -276*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + -4.6. Which is the nearest to z? (a) 0.2 (b) 2 (c) -0.06 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-268)\/(-210) + 12032\/192 + -64.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 6) + -22 + (54 - 42).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 994891343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*m = -6*t + 18*t - 9*t - 549*m - 11, 3*t + 5*m - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 1. Let g be z(1). Suppose -a - 2*i - 58 = -5*a, -3*a + 3*i + 45 = g. Suppose -a + 42 = d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*b - 452 = 0, 3*p + 3*b - 269 - 73 = 0. List the prime factors of p.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4629804?\nAnswer: 2, 3, 385817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(18\/(-3) + 4). Let t(u) be the second derivative of -u - 1\/2*u**2 + 0*u**3 + h - 3\/20*u**5 + 0*u**4. Differentiate t(v) with respect to v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -5 + -7*65\/((-105105)\/3024).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/4 + (-3)\/(-6). Let x(g) = -g**3 + 9*g**2 - 9*g + 10. Let j be x(b). Suppose -m + j = -0*m. Solve 8 = -2*o - m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.0001\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -5*a**3\/3 - 9*a**2\/2 + 109. Let c be k(-2). Sort 1\/3, c, -5, -4 in increasing order.\nAnswer: -5, -4, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*x + 55714 = 52282 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, v: 4, k: 4, e: 1, r: 2, o: 1}. Give prob of picking 1 e, 1 o, and 2 k.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysssyssssssssssssss. Give prob of sequence yy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*i = -u + 3046, -5491*i + 11 = -2*u - 5490*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -225, -366, -527, -714, -933, -1190?\nAnswer: -1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 1)*(0*h + 4*h + 5*h + (-1 - 1 + 4)*(4*h - 2*h - h)) in the form u + l*h and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2\/7 + 981*d\/7 - 282 = 0. What is d?\nAnswer: -329, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -14. Let g = y + 1. Suppose 8 = 4*x - g. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182604 and 136953?\nAnswer: 547812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*h + 20. Let m(n) = -3*n + 15. Let c be m(h). Solve 0 = c*k + 2*k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d - 851. Determine m(57).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {e: 1, i: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -1.3. Let a be 1 - -1 - (0 - -1). What is the biggest value in a, 0.5, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 263986704*a - 5807414990731968.\nAnswer: -3*(a - 43997784)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 76*u**2 - 63*u + 900. Let k be v(-75). Let f(i) = 15*i**2 - i - 3. Let o be f(4). Let x = o - 1625\/7. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5463 + -5459. Solve 0 = 4*u - d*b, 8*u = 9*u - 3*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (7 - -2 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128746.367 microseconds in weeks?\nAnswer: 0.0000018663134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + b - 19, 2*g + b = 26 - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2585, 2581, 2577, 2573, 2569?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1166890700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.9981 - -5067818?\nAnswer: 5067733.0019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30742, 30435, 29926, 29215?\n\"Answer: -101*h**2 - 4*h + 30847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 >= 427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 15*u - 22. Let q be y(13). Suppose 3*k = -q*l - 0*k + 1037, -5*l + 5*k + 1270 = 0. What are the prime factors of l?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + b + 6 = 0, -40*y + 5*b = -42*y + 16. What is the closest to 0.4 in y, 0.4, -1\/3, -0.17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 = j, -4*r + 2*j - 7 = -3. Let a be 5\/(-6 + r) + 3. Suppose -z - 3*h = 3, -5 = 2*z + 5*h - a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 404*g - 5386. What is a(21)?\nAnswer: 3098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 64*d**2 - 12*d + 10. Let b(k) = -3*k**3 - 64*k**2 - 14*k + 11. Determine 6*b(n) - 7*s(n).\nAnswer: 3*n**3 + 64*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006182 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {d: 13, n: 3, s: 3}.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 1185 + 1249 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -2.52. Let t = -1.6 - f. Let q = t - -1.88. Which is the third biggest value? (a) -0.3 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let z(i) = 534697 - 5*i**2 - 534697 + i. Let b(s) = -s**2. Let w(t) = v*z(t) - 6*b(t). What is the second derivative of w(y) wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, 0 = -4*t + 3*n - 8*n + 65. Solve o + t = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 12. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -1. Let x(i) = -i - 8. Let l be x(-8). Which is the nearest to l? (a) 0 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -36. Is 0 + u - (-3 + -849) 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 {b: 9, g: 7}. What is prob of sequence ggb?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5391 - 3\/9*-9. Are -5387 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 64680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003693073594 rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-42)*(-182)\/(-52)*(-4)\/(-6). Let t(b) be the first derivative of k*b**2 - 2\/3*b + 1\/18*b**4 - 10\/27*b**3 + 1. Factor t(p).\nAnswer: 2*(p - 3)*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -268 or 649\/7?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + 0 + sqrt(7).\nAnswer: -9 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*v - s, 2*v - 2*s + 5 = 5*v. What are the prime factors of (v + -9)*532\/(-112)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6528*w - 9117*w + 4677*w to the form i*w + t and give i.\nAnswer: -10968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(5*sqrt(208) + sqrt(13)).\nAnswer: -315*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/14 - (-136)\/56. Suppose -2*r = -3*c + 3337 + 423, y*r = -3*c - 5625. Let z be (r\/(-2) - 1)*10240. What is z rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-159)\/9 + 17)\/(1\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3 + 21*b**2 + 3*b**2 + 97*b**4 - 2*b**2 + 24*b**2 wrt b?\nAnswer: 2328*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.101t in milligrams?\nAnswer: 461101000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/31 (b) -50 (c) 0.1 (d) 2\/5 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 8, -2*x = 4*z - 26. Suppose 3*t + h - 4*h - 6 = 0, -3*t = -x*h - 12. Is (t - 1)\/(-1)*31 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v. Let m(q) be the second derivative of 3*q**3\/2 + 2*q + 38. Determine y(m(u)).\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.82449 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/63*3*7\/6. Which is greater: t or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3 + 4*z**2 + 6*z = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 1, w: 2, i: 1, g: 4}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 12:02 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -11, 19, 81, 187, 349, 579?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95412845, 95412841, 95412837, 95412833, 95412829, 95412825?\nAnswer: 95412821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22932 divided by -1092\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 62 times -5252135\nAnswer: -325632370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1497 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/24 - 245*b**3\/12 + 363*b**2\/2 + 2*b - 770. What is n in i(n) = 0?\nAnswer: 3, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Let w be u(1). Find the second derivative of 4*b + 2*b**2 - 2*b**2 + 2*b**w wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6) + 3 + (-2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91200 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 41. Let g be d(15). Suppose -g*j + 3*o = 2*o - 212, -166 = -3*j - o. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 72540?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170043 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.1 + -24.9. Let z = k + 120. Which is the second smallest value? (a) -3\/8 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**6 + 0*q + 1\/3*q**3 + 0*q**4 + 0*q**5 - 1 + 0*q**2. Find the third derivative of y(g) wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o - 8. Let p(b) = 40*b - 24. What is -5*p(d) + 16*q(d)?\nAnswer: 8*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvovvt. What is prob of sequence tv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6198287090 rounded to the nearest 1000000?\nAnswer: -6198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10703954*6.\nAnswer: 64223724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxooxxo. What is prob of picking 3 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1*3 + -2)**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 + 9*m**2 - 5*m - 5. Let d(p) = 13*p**2 - p**3 + 11*p**3 + 0*p - 7 - 7*p. Let g(n) = 5*d(n) - 7*l(n). Find h, given that g(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2398, 2390, 2370, 2332, 2270, 2178, 2050?\n\"Answer: -j**3 - j + 2400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -116013.7.\nAnswer: -116013.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 less than -82715?\nAnswer: -82714.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 divided by -33?\nAnswer: -446\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8 - -6) + 13 + -8 + 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 9:17 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-12))\/((13\/(-5))\/((-10)\/(-50)))\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 4*o - 12, -4*o = -7*o + 4*m + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12*(-552)\/(-240))\/((-3)\/(-15)). Solve -v*q = -14*q - 992 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7497572.\nAnswer: 2, 127, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001001100100101 + 111101?\nAnswer: 101010001001101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -77. Let k(r) = -2*r. Let u(w) = 90210 + w**3 - 90210. What is j*k(n) + 3*u(n)?\nAnswer: 3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-6))\/(8 + -9 + 0). Let v + 2*t + 1\/2*t**2 = 0. Calculate t.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-611)\/114 - (209 - (-778414)\/(-3724)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/5 + 402*t - 26468\/5 = 0.\nAnswer: -1018, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.04, -2\/5, -2\/11, 1\/3, -1595?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 19*t = -973 + 1173, 5*t = -50 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/20 + (-4)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 16 + 0 = 0. Suppose -11*h + 120 = -7*h. Calculate the smallest common multiple of ((-22)\/(-4) - f)*(-12)\/(-9) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 39 + 45)*(-25 + 128 + 88)*(0*s + 0*s - 4*s).\nAnswer: 22920*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12558*b**2*d**3*g**3 + 2*b*d*g**3 + 5*d**3 + d*g - 84*g**3 - 5 with respect to b.\nAnswer: 25116*b*d**3*g**3 + 2*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 254153244717.\nAnswer: 254153244720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30016791 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-96698)\/(-4))\/(3\/(-6)). Let t = f - -83015. Let j = 86666 - t. Round j to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/64*(-4)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 a when three letters picked without replacement from {g: 2, i: 1, a: 1, w: 2, n: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 43 + 51*t - 3*t**3 + 156*t + 2*t**2.\nAnswer: -3*t**3 + 3*t**2 + 207*t + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 547202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -1\/7, -6, 3 in ascending order.\nAnswer: -51, -6, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 divided by 53?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*12\/(-9). Let t(w) = -3*w**2 + w**u + w**2 + 0*w**2 + 6*w - 3. Calculate t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1538, 1195, 852, 509?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1936 and 1276.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/153*18\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let s(y) be the first derivative of 2*y**3 - 6*y**2 + 4*y**2 - 8 + 2*y**2. What is s(r(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 5*c - 11. Let a be p(-7). Let q(x) = -2*x**2 - x + 1. Let z(l) = -l. What is a*z(b) - q(b)?\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, m: 3, y: 2}. Give prob of sequence yy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -21384 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 135769087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q + 3. Let b(n) = -8*n + 3. Let j(i) = 6*b(i) - 5*x(i). Let p be j(1). Find the third derivative of p*g**2 - 3*g**6 - 9*g**6 - 12*g**2 wrt g.\nAnswer: -1440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 52. What is the tens digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 657 and 1095?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164.9 - 168. Let a = -5.1 - u. Put 0.3, -0.4, a, 2 in descending order.\nAnswer: 2, 0.3, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -122, -181, -240, -299, -358?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**3\/4 - 50*c**2 + 385*c\/4 - 95\/2 = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 9*n + 4. Calculate d(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g)**(13\/3)*((g*(g**(6\/7)*g)\/g)\/g)\/(g**(-3)\/g) assuming g is positive.\nAnswer: g**(295\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*s + 42301 = 232*s - 645*s + 7451 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11913*w**3*y**4 + 2*w**3*y**2 + 76*w**3*y + w**2*y + 9335*w*y**4 - 183*w*y**2 - 587*w + 2*y**2 wrt y.\nAnswer: -285912*w**3*y + 224040*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4\/2 - 291*i**3 - 108177*i**2\/2 - 3009518*i + 27688848 = 0?\nAnswer: -229, -132, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 25. Which is the third smallest value? (a) -4 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.096. Let b = t + -0.099. Let i = b - -0.2123. What is i rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**5 - 30*j**4 - 5*j**3 + 30*j**2 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4 + 50*b**3 + 6080*b**2 + 11710*b - 17835 = 0.\nAnswer: -29, -3, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/18 and -65\/411196.\nAnswer: 3700764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**4\/66 - 2152*l**3\/33 + 1157776*l**2\/11 + 1427*l - 1. Factor a(w).\nAnswer: 2*(w - 1076)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 186012118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-27) + (-22)\/297*147?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -983794, -983885, -984122, -984577, -985322, -986429, -987970, -990017?\n\"Answer: -12*h**3 - h**2 - 4*h - 983777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4998813272 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**3 + 6*a**2 - 6*a - 6. Let s(g) = -11*g**3 + 13*g**2 - 13*g - 13. Suppose -2*t = -5*j - 38, 16*j = 13*j - 2*t - 10. Determine j*s(q) + 13*p(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 13) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5054120 (base 7) in base 11?\nAnswer: -381067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8410205 + 0.014.\nAnswer: -0.8270205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 5*m**5 - m**5 + (7*m**2 + m**2 - m**2 + (0 + 2*m + 0)*(4*m - m - 2*m))*(0 + 0 - 2*m**3).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-7\/5)))\/y*(y\/(y**(3\/5)\/y))\/y*y)\/(y**(-1)*y*y)**(1\/7))\/(y*y**0\/y*y*y**(-7)\/y*y**(3\/4)\/(y\/y**(-6)*y)) assuming y is positive.\nAnswer: y**(2227\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82841.\nAnswer: 11, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 51 + 54. Let x be (-1)\/2*2*-48*20\/30. Which is greater: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75b19b (base 12) to base 14\nAnswer: -367823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -g - 4*c, -5*g + 3*c + 94 = -140. Let x be 3*5\/(g\/6). Suppose -2*a - x*a = -8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11*z + 17 = -12*z, 0 = 5*c + z - 28. Let j = -170 + 2892\/17. What is the smallest value in c, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g + 720 = -101*g. Which is bigger: -123 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/7 + 8990*k**2\/7.\nAnswer: -2*k**2*(k - 4495)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1120 - 296 = 0. Suppose 3*b = -2*b + 1260. Let t = k - b. Calculate the highest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7695736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + 3*w)*(1 - 4 + 0 + (1 - 4 + 5)*(-2 + 5 - 6)).\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.359 rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 51*v + 186. Let f be o(47). Which is the third biggest value? (a) -43\/4 (b) f (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 12. Let h(n) = 6*n - 68. Let k(t) = 34*g(t) - 6*h(t). Let a(d) = -194*d**2. What is k(a(f))?\nAnswer: 388*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*y + 15*y - 156*y + 75*y.\nAnswer: -204*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**5 - 1311*b**3 + 2*b - 5334.\nAnswer: -60*b**3 - 7866*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*k**2 + 616*k**2 - 122*k**2 to n*k + s*k**2 + b and give s.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1609 - 11286\/7. Is x greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*i - 5, 3*v + 0*i + 2*i + 2 = 0. Suppose 5*x + v*x = 0. Suppose -a + x*a = -14. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -3. Let g = o - -27. Let s = 6 - g. Which is the nearest to s? (a) -5\/3 (b) 1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2029 and 64.86.\nAnswer: -131600.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121211044 (base 5) in base 16?\nAnswer: -267e19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002489606 to five decimal places.\nAnswer: -0.00249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262110 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0728735 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172\/267 + -2\/89. Suppose 0 = 3*q - 5*q - 6. Which is the second biggest value? (a) q (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p**5\/7 - 1076*p**4\/7 - 2458*p**3\/7 + 3860*p**2\/7 - 272*p\/7 = 0. Calculate p.\nAnswer: -17, -4, 0, 2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38355011*g**3 + 98593351*g**2.\nAnswer: 230130066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 10. Suppose -2*j + m + 16 = j, 4*j - 5*m = 3. Let z be u(j). Suppose -4*q + 4*o = -26 + 2, 5*q - 2*o = 24. Sort q, -2, z in decreasing order.\nAnswer: q, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j + 55 = 0. Suppose -9 = 9*n - 36. Suppose 0*b + 2*f - n = -b, b = 3*f + 8. Sort b, -3, 1, j in descending order.\nAnswer: b, 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16033429.\nAnswer: 233, 68813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -7*m**5\/30 - m**4 - 3*m**2. What is the second derivative of a(f) wrt f?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8)*8\/2. Let y = n + 5. Let j(t) = t**2 - 6*t + 3. Determine j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 0*j - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000847 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.4 (b) 148 (c) 1 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, -2471 in descending order.\nAnswer: 2, -20, -2471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 + 15573*h**3 + 30195963*h**2 + 25906055343*h + 8291911613118 = 0?\nAnswer: -1379, -1054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvqpjxu. Give prob of sequence up.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -10 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3, 5*c - 6 = 3*s + 7*c. Suppose 2*p = 2*u + p + 7, 0 = 4*u + 5*p + 7. Sort u, s, 4, 5 in ascending order.\nAnswer: s, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 + 1111?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6, -2*j - 2*p + 19 = 3. Let t(r) = r**2 + 2*r + 1. Let m be t(-2). Put j, m, -5 in decreasing order.\nAnswer: j, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/49436 and -145\/408.\nAnswer: 296616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*p**2 + 180*p - 108.\nAnswer: -3*(5*p - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 84600015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c + j = 425, -4*j = -4*c + 420. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 681, 1560, 2813, 4452?\nAnswer: 6489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 242553 (base 6) in base 4?\nAnswer: 11032011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 452952\nAnswer: 1\/452952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47668644 is divided by 331?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 670)*(-49 + -3). Is -1*6\/(24\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 5 = 3*s. Let w = s + 9. Solve 4*y - 1 - 15 = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 3270.\nAnswer: 58860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17648631 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 145*(2\/10)\/((-36 + 111)\/(-75))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**7\/2520 - c**6\/80 - c**5\/15 - 3*c**2. Let q(x) be the third derivative of z(x). Let k be q(-5). Is k != -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:47 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*i - 703985 = 12*i + 600780. List the prime factors of i.\nAnswer: 5, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160068 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5 and 23\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22753, 22778, 22805, 22834, 22865, 22898, 22933?\nAnswer: 22970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 37 + 63. Suppose -t + 2*u + 15 = 0, -2*u - 3*u = -5*t + x. Solve 3*y + 12 = 3*h, 2 = t*h - 2*y - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3623*b**3 + 63*b**3 - 12250*b**2 + 14776*b**2 wrt b.\nAnswer: -21360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 6. Let u(x) = 1 - 2 + 7 - x - 4. Give u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 114. Suppose 0 = 2*a - v - 90. Suppose 9*c + 12 = a. What is the remainder when 17 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174120 by 3.\nAnswer: 58040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) 0 (b) 1\/4 (c) -16\/5 (d) -4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 681\/21 - 144\/(-252).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*v + 5400004 = 0, 13*c = 8*c - 3*v + 6749995. Suppose -c = -l - 2*b, 3*l - 2801778 = 3*b + 1248228. What is l rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, o: 3}. Give prob of picking 1 d and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*h + 129*h - 91. Suppose -2*w + 6*w = 3*z + 2, z = 2*w - 2. Determine t so that 6*t + 3*t**3 - 40 + 25*t**2 - 3*t + w*t**3 + h*t = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.256 + -1.74. Round g to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4232, 8463, 12694, 16925, 21156, 25387?\nAnswer: 29618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 187, 181, 173, 163, 151?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 6, 4*l = -2*t - 2*t + 404. Let f = l + -399\/4. Which is the closest to -4? (a) 0.2 (b) f (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72)\/sqrt(4))\/(sqrt(12)\/(-1*sqrt(2))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 20*f**2 + 3*f - 3. Let w(j) = -2*j**3 - 20*j**2 + 4*j - 4. Let k(q) = 4*g(q) - 3*w(q). What is the third derivative of k(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008032134 rounded to six dps?\nAnswer: -0.000803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*s = 73*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -800\/2021 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/17*(-3)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2422131*n + 17 = -2422135*n, 5*q + 2*n = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 9. Let o be (-15 - (1 + -8)) + 0. Give f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123*m**5 + 57*m**2 - 57*m**2 + (-m**2 + 5*m**2 - 3*m**2)*(-2*m**3 + 0*m**3 + 4*m**3) - m**5 + 0*m**5 + 3*m**5.\nAnswer: 127*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.32 - 0.12. Let n be 20\/5 - (-30)\/(-8). Which is the nearest to -0.5? (a) t (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itp when three letters picked without replacement from sapti?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 470*k**2 - 258 - 471*k**2.\nAnswer: -k**2 - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-100)\/(-28)) + -2230*14\/(-20300)\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39579714 divided by 59429?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1232.33.\nAnswer: 2464.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-17 + -20 + 19 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 51264\/(-504). Calculate the common denominator of (r\/136)\/(-2 + (-416)\/(-226)) and -47\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6109*h*l**2 - 463*h*l - l**2 - 60*l wrt l.\nAnswer: -12218*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**7\/84 - 3*g**6\/20 + 3*g**5\/40 + 73*g**4\/24 + 8*g**3 + 9*g**2 - 49*g. Let m(o) = 0. What is o?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2\/6 - 217213*u\/3 - 47181487369\/6 = 0.\nAnswer: -217213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 4)*(-2 - 4 - 5)*(-1440*y + 934*y + 900*y) in the form g + z*y and give z.\nAnswer: -4334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/89616 + -571212307\/985776. Let k = n - -580. Let s = -200 + 198. Which is the smallest value? (a) 2\/17 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 193*r**2 + 1206*r - 3231. Calculate b(90).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)\/(h*h**(-3)\/h*h*h) assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**2 - 16*t**2 + t**2 - 25*t**2.\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4465928, 4465932, 4465938, 4465946, 4465956?\n\"Answer: o**2 + o + 4465926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwttwtwtwwtjtjw. What is prob of sequence tj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isisisss. Give prob of picking 3 s.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwrwwrllwlwwwlwr. What is prob of picking 1 l and 1 r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/2)\/3*-2. Let v(u) = -3*u + 24. Let s be v(7). Suppose 5 = 2*t + s. Put -2, i, t in increasing order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let z(p) = -2*p**2 - 5*p - 3. Let t be z(-3). Let x = u - t. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.66559 millimeters to micrometers.\nAnswer: 96665.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/(-7))\/((-13)\/(-57603))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.11 - 1.16. Let u = l + 0.05. What is the second smallest value in u, 5, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13749890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c\/(c**1*c))*c*c)*c)\/c*c)**16*c**(-1\/8)\/c**0*(c\/(c*c*c**(4\/7)*c))\/((c*c**5)\/c)*(c*c**(-1)*c)**(2\/23) assuming c is positive.\nAnswer: c**(-30409\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 13*b**2 + 5*b + 7. Let a be d(13). Suppose a = 2*v - 16. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -3*k**3\/2 - 25*k**2\/2 + 129*k + 2. Give a(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/250*1*1\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -1) + (-10 - -22 - 2) - -16 - 74?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(14 - 8) + 91450\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*y + 111410 = 5*v + 245*y, -3*v + 66844 = 4*y. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-190)\/(-15))\/(4\/6) + 1. Let w = -278 - -278. Solve w = -6*k + 2*k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*v**2 - 11*v + 7*v + 4*v**2 - 1 wrt v.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (532\/(-114))\/((-2)\/3). Solve 5*c + a = -3*s, 0*s + c = -4*s - 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.336027 rounded to 3 decimal places?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001001011111101100 (base 2) to base 9.\nAnswer: 4454623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1070)\/(-45) - (-2)\/9. Let s = b - 12. What is the smallest common multiple of 42 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 2242954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2 - h - 1. Let q be d(-1). Let v = 17 + -5. Suppose q*f + 0 = v. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1473)\/7365*(-100)\/52\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:55 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 4)*(-3*k + k + k) + k + k - 3*k + (0 + 1 - 2)*(-2*k + 7*k - 4*k) - 3*k - 3*k + 4*k to r*k + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -787.971 + 788. Which is the nearest to -1? (a) s (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7238235322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 1503*u - 1472*u. Which is the third biggest value? (a) -14 (b) u (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5478051 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*12*5\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -14 (c) 4 (d) 0.4 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718688 is divided by 57.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 83 = -0*d - 2*d, -2*g + 139 = 5*d. Let x be 88\/g*(-14)\/(-4). Let z be 58\/18 - x\/18. Solve z*f = -f - 2*y, -10 = -f + 2*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and -29\/2428.\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 227706377323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138934.\nAnswer: 2, 69467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28704171, 28704178, 28704189, 28704204, 28704223, 28704246, 28704273?\n\"Answer: 2*p**2 + p + 28704168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.7 - 10. Which is the nearest to j? (a) -3 (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 0)**2 + (sqrt(68) + -1)**2.\nAnswer: -4*sqrt(17) + 902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -31.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(-1 + sqrt(1539) + sqrt(1539)*-3 - sqrt(1539)))**2.\nAnswer: 2268*sqrt(19) + 498685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -8 - 34 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-18 - (-28 - -38))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooohhooohooo. Give prob of picking 4 o.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -401, -374, -347, -320, -293?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 2, g: 1, f: 2}. What is prob of sequence ty?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -87, -1, -3, 3 in descending order.\nAnswer: 3, 1, -1, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - (-4 + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6691611.84000029 + 6691573.84. Let b = -38 - r. What is b rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396) + sqrt(88)\/sqrt(2))*-1 + -2*(sqrt(44) + 3 + ((sqrt(11) - (sqrt(11) - sqrt(44)) - sqrt(11))*-5)**2) + 3.\nAnswer: -553 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/30)\/(36\/8)*(-12)\/3\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -101, -141, -203, -293?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118433 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -200?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 42. Let s be -1 + 3 - j\/1. Let 0 - 3\/7*l**s + 0*l = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 43492*c - 43491.\nAnswer: -(c + 1)*(c + 43491)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(21 + (16 - 45) - -9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*o - 3*o + 569, -u - 3*o + 285 = 0. Suppose 2*k + 3*h = -u, h = 5*k + 2*h + 692. Let q = -71 - k. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/4 - 11*a**3\/3 + 17*a**2\/2 + 13*a + 27. Let b be m(9). Solve -4 = b*v + r + 3*r, 0 = 3*v + 4*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2914, -2846, -2670, -2332, -1778, -954?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 5*r**2 - 2*r - 2. Determine i(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1480, 1319, 1066, 727, 308, -185, -746, -1369?\n\"Answer: d**3 - 52*d**2 - 12*d + 1543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-14) + 2 - 1152\/(-112). Let b = -9 + 3. Is b\/(-15) + 1643*2\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 571157030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o + 40*o + 38*o + (2 + 0 - 1)*(-3 + 3 + 2*o) - 6*o + 9 - 9 - 5*o + 0*o + o.\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -620*b + 1245. Calculate l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 361631772 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: Differentiate 27*p**2*x**2 + 125092*p**2 + 445*p*x**3 - 6 wrt x.\nAnswer: 54*p**2*x + 1335*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 1, x: 4}. What is prob of picking 1 l and 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187432?\nAnswer: 2, 7, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31787, -36722, -41657, -46592?\n\"Answer: -4935*a - 26852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, q: 1, c: 6, f: 4, d: 1}. Give prob of picking 1 u and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 109*o - 79. What is d(66)?\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20578 - -20578.2. Let d be 30\/(5 + -2)*-1. Let g be (-2)\/(-1) + d\/3. Which is the smallest value? (a) 3 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 50 = -2*l, 3*a - 4*l - 65 = -11. Let w = 14 - a. Solve -4*z + 8 - 20 = w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -56 - -46 - (-1 + -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31534563 (base 7) to base 8.\nAnswer: -12164532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let o(t) = 13267*t + 54. Calculate o(c(z)).\nAnswer: 13267*z + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*((-16)\/8)\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2. Let l be 8\/(-28) + 32\/14. Let b(v) = -2*v**2 + 2*v**2 - v**l. Give b(m(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(35\/(-60) - (-3)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.87406 decades in months?\nAnswer: 11024.8872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwypwwpyd. Give prob of picking 1 d, 2 y, and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 11:36 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 3:32 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3038937 or -3038930?\nAnswer: -3038930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + j**2 + 5*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221669233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*x = 605*x - 92*x + 17072 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m - 848615 = 756205. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10724921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/10)*o*o\/o**(3\/7))\/(o**(2\/61)*o\/(o\/o**(-3\/22))))**(1\/7) assuming o is positive.\nAnswer: o**(46383\/164395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 747.89 - 751. Let i = q + 3.109837. Round i to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2 - 5*i**2 - 2*i**2 + 3*i**2 - 7*i**3 + 5 + 3*i. What is the remainder when c(-3) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 206, 205, 204?\n\"Answer: -r + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -581*p*t**3 + 3*p*t + 6816*t**3 - 2502252*t wrt t?\nAnswer: -3486*p*t + 40896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42685, -170786, -384279, -683158, -1067417, -1537050, -2092051, -2732414?\n\"Answer: t**3 - 42702*t**2 - 2*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 611 + 4*g + g**4 + 3*g**3 - g**2 + 1209 - 602 to r + o*g + b*g**4 + c*g**3 + d*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4629 is divided by 1537?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvekeveveevvkvvkkv. What is prob of sequence ekee?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118776497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 - -192. Suppose 3*y = 4*b + 7*y, f*b = -5*y. Which is greater: -10\/9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {a: 5, r: 4, y: 2, j: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20275077.\nAnswer: 3, 181, 37339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 24*l**2 + 4*l**2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5727, 1, 4, 5 in ascending order.\nAnswer: -5727, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15426677 or 46280030\/3?\nAnswer: 46280030\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1653 and 46402.\nAnswer: 46402.1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18.33 times 0.8\nAnswer: 14.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:31 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 7. Let p be v(-8). Calculate the common denominator of 4\/14 - 617\/(-70) and p\/(-4)*(846\/(-15))\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*b - 6*s + 6, 2*b + 3*s = -6. Sort b, -4, 0, 2.\nAnswer: -4, b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -342176 and -3421761\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-180)\/8) + 18\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*b + 343*b - 18*b**2 + 2*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20054542?\nAnswer: 2, 163, 227, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**46 assuming k is positive.\nAnswer: k**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 259\/(-14))*8\/(-14). Sort -1, q, 2 in ascending order.\nAnswer: -1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 2114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 402597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of (5728\/12)\/(4\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028773 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 15*h - 15, 0 = 2900*n - 2901*n - 4*h - 1 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -1\/30*b**5 + 198*b**2 + 0 + 0*b**4 + 0*b**3 + 0*b. Let f(l) = -11*l - 2. Calculate g(f(n)).\nAnswer: -242*n**2 - 88*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.782*-4.7\nAnswer: 8.3754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -183, -204, -223, -240?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.98689 to 2 decimal places.\nAnswer: 29.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 20*a + 39*a - 25*a + 1. What is x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120111 + 202?\nAnswer: -2112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*w + 3 = 0, -5*w = -4*b + 4 - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2842109\/4590 + -10524\/17. What is the common denominator of -59\/945 and c?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*h = -b - 297*h - 1, -4*b + 2*h - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.0554409 rounded to two dps?\nAnswer: 17.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -103321 in increasing order.\nAnswer: -103321, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(405)*-2)**2*-6 - ((2 + sqrt(405) + 1)**2 + sqrt(405) - (-2 + sqrt(405))*2).\nAnswer: -155938 - 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -476800 + 232678483\/488. Calculate the common denominator of -1\/671 and v.\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3032399ms to minutes.\nAnswer: 0.000021720665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -636307\/48 - -13257. Let g = -11\/16 + o. Calculate the common denominator of g and -50\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3299*h - 1446. Let f(g) = 56088*g + 24592. Let q(p) = 6*f(p) + 104*n(p). Differentiate q(z) wrt z.\nAnswer: -6568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-24)*v**(-5)*v*v\/((v\/(v**(-2\/21)\/v))\/v)*((v**(-1\/3))**(19\/2))**6 assuming v is positive.\nAnswer: v**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 1. Let i(d) = -144048 + 144056 + 28*d - 24*d. Let n(g) = -4*g - 7. Give x*i(f) - 6*n(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1003230 - 1?\nAnswer: -1003231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*w**4 + 4*w**2 - 38*w**4 - 3*w**2 + 69*w**4 + 2*w**3 + 3*w to the form g*w**4 + j*w**3 + n + f*w + t*w**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(320) + 1.\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.75208 rounded to one decimal place?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 3) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -o - 19 - 35, 90 = 5*n + 5*o. Let m(u) = -u**2 + 11*u - 6. What is the smallest common multiple of m(7) and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 14784 (b) 0.03 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 169 + -7?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k + 13*k + 148*k.\nAnswer: 139*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 192254 = -502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481 and 2756?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*a - 16, 43*a - 45*a = -3*z + 11. Let h(f) = 9 + 16*f + 28*f - 5*f - 4. Does 20 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*d**3*i**2 - 14*d**3 + 4*d**2*i**2 + d + 11*i**2 + 14 wrt i?\nAnswer: -14*d**3*i + 8*d**2*i + 22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950*y + 969*y = 0. Solve -9*t + s = -8*t + 1, y = -4*t - s - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 46. Let x be h(24). Suppose 10*s + x = -18. What is the second biggest value in s, -2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 0*t - 5*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v - 59 - 62 - 68 - 69 + 260.\nAnswer: 27*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 2596.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*d + 221 - 39, -3*d + 2*g = -110. Let a(h) = -5*h + 13. Let j be a(10). Let z = d + j. Sort -3, 2, z in decreasing order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18064089?\nAnswer: 3, 59, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9249*z**4 + 49*z**2 - 13*z + 129. Let o(n) = -6166*n**4 - 33*n**2 + 9*n - 86. Let b(y) = 13*o(y) + 9*v(y). Find the third derivative of b(g) wrt g.\nAnswer: 73992*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i - 5. Let c(b) = 2*b**2 - 5*b - 11. Let r(q) = 4*c(q) - 9*l(q). Suppose 152 = 4*v - 724. Let m = v + -222. What is r(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 2055543032?\nAnswer: -2055543041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1268, -28, -71, -2, -5, -1 in decreasing order.\nAnswer: -1, -2, -5, -28, -71, -1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**2 - b + 1. Let d(j) = -14*j**2 - 2*j + 2. Let c(x) = -4*d(x) + 9*k(x). Give c(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 756946.3cm?\nAnswer: 7569463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 247361.2 rounded to the nearest one hundred?\nAnswer: 247400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2408, 2402, 2394, 2384?\n\"Answer: -d**2 - 3*d + 2412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.25 - 27.19. What is the third biggest value in 5\/4, 4\/3, d, -7.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:37 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/18)\/4)\/(20\/15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose a = -q*a, 3*a = 3*t. Solve t*x - 8 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**48*u**(2\/11)\/(u**(-3\/5)\/u)*u*u**(-5)*u**(-6)*(u\/((u**(2\/5)\/u*u)\/u))**44 assuming u is positive.\nAnswer: u**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128456313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 55. Let l = 2 - r. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18384 divided by -1?\nAnswer: -18384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7*5*4\/20\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2050*a + 4. Let x(m) = -m + 41. Determine x(p(o)).\nAnswer: -2050*o + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130984, -262266, -393548, -524830?\nAnswer: -656112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-42)*11\/((-330)\/(-105))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1488 = 4*k, 63 = 2*c - 4*k - 1409. Suppose 0 = -5*q + q + c. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -216 (b) 17 (c) -61 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.45 to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760081138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08797 and 0.8?\nAnswer: 0.070376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllfllllfllflll. Give prob of sequence ff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 - 2*a - 3. Let i be x(-1). Let o(n) be the third derivative of -1\/32*n**4 + 2*n**2 + 1\/80*n**5 + 0 + 0*n**i + 0*n. Solve o(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1359263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4349 - 8215. Suppose -r - h = -i, -1174 = 3*i - 5*r - 13740. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 25. Let v(l) = 5*l + 20. Let w(f) = -4*j(f) + 5*v(f). Let u(x) = -35*x. Calculate u(w(a)).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 37) + 3 + 1 - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 14580*n**2 + n - 14425*n**2)*(-6*n**2 - 13*n**3 + 6*n**2).\nAnswer: -2015*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 48*k + 24 - 4)*(-6*k**2 + 5*k**2 + 7*k**2) in the form j*k**3 + l*k + w*k**2 + a and give j.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -1\/5*s**2 + 7\/100*s**5 + 1\/10*s**3 + 1\/5*s**4 + 23*s + 0. Factor n(l).\nAnswer: (l + 1)**2*(7*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 28. Suppose 0*l - w = -4*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469744, -469743, -469742, -469741, -469740, -469739?\nAnswer: -469738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + 0*l)*(2*l - 3*l + 0*l) + 27*l**2 + 31*l**2 - 49*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:03 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-5 - 2) - (2 + -12) - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/4 - 4*m**3\/3 + 2*m**2 + m. Let b be 2\/(-8) - 42\/(-48)*6. What is the tens digit of d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019347 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -29*b. Let y(h) = -35*h + 1. Give 3*s(o) - 4*y(o).\nAnswer: 53*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*16\/6. Let y(f) = -f**2 + 68*f + 101. Let d(m) = m**2 - 45*m - 67. Let i(q) = -8*d(q) - 5*y(q). Let k be i(8). Is k <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*a - 69*a - 6 = 0. Put a, 1, 7 in decreasing order.\nAnswer: 7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 11*y**2 + 28*y + 198. Determine m(-12).\nAnswer: -2010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 1508. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(890\/(-1602))\/((-4)\/228*5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:40 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(147\/6 + 5). Suppose -964 = -5*o + 401. Suppose x = j - o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 492, 743, 988?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 10, 2.014, -3?\nAnswer: 2.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9*g - 110 = 0. Which is the biggest value? (a) -0.5 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12075 to 3 decimal places.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 2*b)*(-b - b + 4*b) - 4*b + 7*b**2 + 4*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*r = 2*r + 2, -4*r + 8 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -177. Suppose -v - 2*o = 41 + 7, 0 = -4*v + o - 174. Let m = r + v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 345*f**2 + 4435*f + 49665 = 0 for f.\nAnswer: -7, 33, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.34, -487\/5, 1\/5, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 46362.\nAnswer: 370896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z + 6*z**2)*(4 + 15*z - 4) to the form t + u*z + o*z**2 + s*z**3 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 26. Suppose 4*c = 3*o + 52, -4*o - 12 - 36 = -h*c. What is the smallest common multiple of c and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 1. Let r(g) = -7*g**3 + g**2 + g + 1. Let f be r(-1). Let o = -5 + f. Let d(t) = -4*t + 4. Let z(n) = o*u(n) - d(n). Calculate z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-5.758156\nAnswer: -4.758156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -20023493 to the nearest 10000.\nAnswer: -20020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35a + b21d?\nAnswer: b579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 182*t**3 + 3*t**2 - 5*t + 5. List the prime factors of c(2).\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110 times 28504\nAnswer: 31639440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60782\/6 + (-6240)\/1440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 10}. What is prob of picking 2 u and 2 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*z + 3. Let q = -0.1 - -2.1. Which is the second biggest value? (a) -0.5 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 0.2 (c) 4 (d) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.6, -2\/9, -2\/15, 29, 2.3, 3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, d: 3, k: 3, w: 2}. Give prob of sequence ndk.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrq when three letters picked without replacement from {r: 1, q: 1, z: 5, d: 1, a: 2}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7441 and 11693?\nAnswer: 81851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzzc when four letters picked without replacement from {f: 1, c: 5, z: 5, t: 1}?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2748837s in hours?\nAnswer: 0.00174302325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 - 474*m**2 + 1369*m - 172. Calculate j(76).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, b: 7}. Give prob of sequence boob.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3.002. Let x = -0.0019961 - h. Round x to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - 8420\nAnswer: -8420.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -89?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/18*-37 - 3\/27. Suppose 0*m - 5*m = -k*p - 10783, 3*m - 3*p = 6468. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400847829 to the power of 1\/3, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18468797.\nAnswer: 3217, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -12. Let w(v) = -39*v**3 - v - 1. Does 13 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from dtdtttttrt.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13587 divided by -10?\nAnswer: -13587\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 3629244*n**2 + 3630790*n**2 + 2*n.\nAnswer: 1546*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -11 + 6 - (-31 + 14 + 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*y + 67*y - 1565 = -365 + 472 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -7) + 26 + -23 + -49.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1460*j - 272946. Determine t(187).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 1, r: 1, a: 1, i: 2}. What is prob of sequence ari?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1)))**(-8)\/(h*(h**(-2\/5)\/h)\/h)**14 assuming h is positive.\nAnswer: h**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 323460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 + 0 = 0. Solve d + 5*t = c - 2, -3*d - 4*t = -7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -280, -273, -266?\n\"Answer: 7*d - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307462, -307338, -307214, -307090, -306966, -306842?\nAnswer: -306718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371180004 divided by -3343964.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*(-2 + 3*m + m - 3*m)*(-10*m**3 + 8*m**2 + 9*m**3 - 2*m**2).\nAnswer: 3*m**4 - 24*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 3:20 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1040240210 (base 5) to base 9\nAnswer: -4245834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 1161 = -29*p. What is the second derivative of -463 - 81*v**2 - p*v + 232 + 231 wrt v?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or 1.5152?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.022549 - 392.667451. Round n to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -707 at most -704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.663569 tonnes?\nAnswer: 663569000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43, -3, 1, -2\/3, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 1. Let k(x) = -x**3 - x**2 + 8*x - 2. Let i(o) = -5*b(o) + k(o). Let u(m) = -2*m - 2. Calculate 2*i(d) + 3*u(d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - -649. What is the highest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Let y = 40196 + -3014654\/75. Let g = 7\/25 - y. What is the nearest to v in g, -1\/9, 0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + m**2 - 6*m. Let i(w) = 4*w**3 - 2*w**2 + 11*w. Determine -4*i(r) - 7*x(r).\nAnswer: -2*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = 9*b + 2*w + 12, -62 = -4*b + w - 3*w for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/33232 and -45\/124.\nAnswer: 33232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213 - 8.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 14410?\nAnswer: 1440b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7128 by 8.\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**25*(k*k*(k\/((k\/(k\/(((k*k**(-4))\/k*k)\/k)))\/k))\/k)\/k*k assuming k is positive.\nAnswer: k**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111111 (base 2) to base 14\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15544 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648582257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1 + (-3 + 1 + 0)*(7 + 26 + 8))*(3*f**5 - 4*f**5 - f**5).\nAnswer: 160*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 + 154. Solve 5*l = 5*u - 10, -z*u + 0*l + 2*l + 7 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/74637 and -10\/3087?\nAnswer: 25600491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8476)\/(-55094)*(-26)\/(-350)\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32390, 32391, 32390, 32387?\n\"Answer: -o**2 + 4*o + 32387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 90. Let h = j - 115. Let z = h + 50. Which is the closest to 0? (a) z (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f + 26*f - 56*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - h**2 + (-4*h**2 - 5*h**2 + 5*h**2)*(4 + 1 - 2) + 3*h**2 - h**2 + 0*h**2 as m*h + v*h**2 + a and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*l + 158*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14\/(j\/j**(-6)))**(-44)\/((j**2*j*j)**(-13))**35 assuming j is positive.\nAnswer: j**1512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 12*w = 6. Suppose -2*b = 5*a - 88, 0 = w*a - 5*b - 33 + 5. Let r = 5 - 3. What is the highest common divisor of r and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95\/3 - -82\/3. Calculate the common denominator of 152\/22*4\/8 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifjfvefjfhhjjiivv. Give prob of picking 2 h and 2 j.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.468 - 20\nAnswer: -19.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59318228549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -435, -5, 2, -22, -49 in descending order.\nAnswer: 5, 3, 2, -5, -22, -49, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**12*j))**(-23))**44)**(-34\/7))**(-12) assuming j is positive.\nAnswer: j**(4954752\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 smaller than -385\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(0 + 3) - -12. Let z = j - 12. Let k(q) = -3*q - 1. Give k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 520 + -496. Suppose 17*z - j = -568. Is -92\/3 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 52 = -2*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 10. Let u = 2 + c. What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9056 - 1764 + 10320 = 17*k. What is the lowest common multiple of 112 and k?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:28 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -122. Let q = n + 112. Let k = q - 57.9841. Round k to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z. Suppose 0 = 3*w + 3, 3*b + 4*w + 7 = -z*w. Let d be ((-20)\/15)\/(b\/15). Calculate the highest common factor of d and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from {b: 2, k: 4, f: 1, t: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14339 divided by 4.\nAnswer: -14339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94503\/71 - 1331. Let h = i - 77\/213. Let r = -18275 - -18278. Sort h, -2, r, 0.3 in descending order.\nAnswer: r, 0.3, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929820551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 - 8. Let g = 118 + z. What is the nearest to -2\/7 in 2\/13, 0.4, g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.02 + -3. Let a = -300.8 - -405. Let d = 104 - a. What is the biggest value in d, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -231, -809, -1931, -3777?\n\"Answer: -30*o**3 - 2*o**2 + 2*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.49859 + 45.09842. Let n = u + -33.6. What is n rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9416*g**2*k*r**3*v - 3*g**2*r**3 - 15*g*k*r**3*v + 16218*g*r**3*v - 2*r*v with respect to k.\nAnswer: 9416*g**2*r**3*v - 15*g*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 + 2*s - 2. Let g = -15 + 43. Suppose -5*m - 2*b = -4 - 10, -g = -4*m + 4*b. What is the lowest common multiple of m and c(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236924927 rounded to the nearest one hundred thousand?\nAnswer: 236900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((236\/30 - 8)\/((-4)\/10))\/((-33)\/2277)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472\/59*(-2)\/(-8)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)\/(3 - 2). What are the prime factors of (-3 + 3 + 3)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 4. Let s be n(-3). Let v(t) = t**3 + 10*t**2 - 2. Suppose 5*o = 2*o - 30. Let y be v(o). Is y >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 6*h - 4*h + 26*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 169198 and 930.\nAnswer: 2537970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -452 (base 7) to base 6\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/141 and 70\/423.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8378.\nAnswer: 2, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5031 times -1.44\nAnswer: 7244.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 9. Let u be c(0). Let q = u + 14. Suppose -2*s + 7200 = -q*s. What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + ((6 - 14) + -11 - -24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 93, 1, 3 in descending order.\nAnswer: 93, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**4 + 6*k**3 - 3*k**2 - 4*k + 6. Let j(p) = 4*p**4 + 5*p**3 - 2*p**2 - 3*p + 5. Let f(v) = 6*j(v) - 5*q(v). Determine d so that f(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t + 20. Let f(m) = 5*m + 4. Let v be f(t). Let j = v - -58. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3453 - -145. Let v = 729 + y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 467863656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d - d**2 + d - 2 - 2*d. Calculate n(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53451758.540000547 - -53451816.84. Let r = 1821.3 + -1763. Let f = r - a. What is f rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32097 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 94*q + 284\/3.\nAnswer: -2*(q - 1)*(q + 142)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3697524745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4787?\nAnswer: 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*k - 0*k. Let x be ((-46)\/8 - (-12)\/(-3))*-28. Suppose -3*y + x - 42 = 0. Calculate the highest common factor of y and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - 83*o**2 + 350*o + 356. Calculate i(22).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 626. Let d = v + 578. Solve -d = 3*u + 14*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8\/3, -5, -2, 4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/285*28\/70\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -112*x**3 - 7841*x**2 - 28*x + 2936. What is m(-70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561751909, -561751911, -561751913, -561751915, -561751917?\nAnswer: -561751919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by 6.\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 51256*n**2 - 3541357*n - 3490100.\nAnswer: (n - 51325)*(n + 1)*(n + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 216*m**2 + 2025*m - 16. What is h(225)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 627611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/9 + 68*i**3\/9 + 526*i**2\/9 + 460*i\/9 = 0. What is i?\nAnswer: -23, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 32*a**2 + 12*a + 140. Calculate o(0).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7124 (base 12) to base 3\nAnswer: -121211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 3*w - 3. Let b(y) = y**3 + 8*y**2 - 3*y - 12. Let o be (3 - 7)\/2 + -5. What is the remainder when b(o) is divided by r(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75912605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**2 + 132*y - 206. What is the remainder when 4062 is divided by o(11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*r + 1 + (5*r - 4*r + 2*r)*(6 - 5 - 71).\nAnswer: -208*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 7 - h**3 - 3*h**3 + 52*h**2 + 5*h**3 - 45*h**2. Let n = -4 - 2. List the prime factors of o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*d - 11*d. What is the derivative of 6 + 6*y**4 - 15*y**4 + 10*y**d wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 + m**3 + 5*m**2\/2 + 4*m. Let c be s(-4). Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g + 20. Let f(h) = -h + 1. Let r(c) = 20*f(c) - z(c). Let m(q) be the second derivative of -q**4\/12 + 3*q. Calculate r(m(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 - 902 = 7*l. Let y be ((-4 - -2) + -4)*l\/15. Solve 2*b + 4*a + y = 0, b + 0*b = -5*a - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47674 at least as big as -47692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350569.\nAnswer: 19, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 b when four letters picked without replacement from {b: 2, t: 4, l: 5, c: 4}.\nAnswer: 2\/273","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: What is 443 divided by -38?\nAnswer: -443\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, c: 2, w: 2}. What is prob of picking 1 c and 3 t?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + v = -931, -4*v = 5*b + v - 1525. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160.999944 + -161. What is f rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 + -5128\/45. Let b(p) be the first derivative of 2\/9*p**2 - 3 + 0*p**3 - 2\/9*p + a*p**5 - 1\/9*p**4. Factor b(n).\nAnswer: 2*(n - 1)**3*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -135, -249, -407, -609?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 4:38 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bc93 + e?\nAnswer: -2bc85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12690 by -18.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t + i, 5*t - 3*i = -4*i + 12. Suppose -18*b + 78 = 8*b. Factor 6\/5*q**t + 18\/5*q - 2\/5*q**b + 2.\nAnswer: -2*(q - 5)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*m - 2 = -683*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*b + 537582 = 532863 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 4*w + 5. Let g be i(-4). Suppose 57*h - 50*h - g = 0. Solve -17 = h*r + f, -5*r = -3*f + 2*f + 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 2*l + 6*l to the form z*l + g and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*v + 6 - 3 + 211*v - 36*v.\nAnswer: 304*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23272, 186429, 629284, 1491685, 2913480?\n\"Answer: 23308*o**3 + o**2 - 2*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 563107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039c71 (base 13) in base 6?\nAnswer: -253432213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:47 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3459547 to the nearest 10000.\nAnswer: 3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -5*k + 13, 22*b + 3*k = 27*b + 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 12669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -46. Suppose -11 + z = -5*m. Which is the closest to 1? (a) 1\/2 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -32, -14, -9?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 20. Let b be w(-11). Solve -4*s - 4*k + 18 + b = 0, 4*s - 3*k = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9*f*f\/(f*f**(-8\/3)) assuming f is positive.\nAnswer: f**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*f - 10, -8*a - 32 = -4*a - 3*f. Suppose -6*k + 3*k + 177 = 0. Let y = a + k. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 1 + sqrt(272))*1 - (sqrt(272)*1 + sqrt(272) + 2)*4)**2 + 4)*2.\nAnswer: 672*sqrt(17) + 26736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 21582785?\nAnswer: -21582785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*p + 40, -2*o + 3*p - 8*p + 38 = 0. Calculate the least common multiple of o and 28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 536*f**2\/3 + 2642*f\/3 - 1052.\nAnswer: 2*(f - 263)*(f - 3)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7899165 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 749 + -734. Let f = 0.5 + 0.5. Sort 3, f, m in descending order.\nAnswer: m, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*x)*(2*x - 1 + 1) + (0 + 0 + 2)*(4*x**2 + 0*x**2 + x**2) + x**2 - 3*x**2 + 4*x**2 in the form l*x + r + m*x**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30751281 and 3181167?\nAnswer: 92253843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (105 - 27) + -9 - -13?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1738 - 636.\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4. Let o be v(0). Let q = -10 - -1. Let u(m) = m**2 + 8*m - 5. Let b be u(q). Solve -5*n = -b*n + o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.3, 1, 2.4, 79.18?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -3080.581?\nAnswer: -3080.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*f = 4*i - 4774, -9576 = -4*i - f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3 + 3. Let u be (-1)\/(-7) - (-325)\/175. Suppose j - 5 = -5*d, 5 = -u*j + 3*d + 2*d. Solve 3*s + 15 = j, o*b + 0*b - 5*s = 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.5. Let s(w) = w**3 + 9*w**2 - 114*w + 139. Let r be s(6). Which is the nearest to 0.1? (a) f (b) -2 (c) 0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*o = -15 - 12, -j + o + 11 = 0. Let r be 2\/j + (-70)\/(-84). Which is smaller: r or 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((((-21)\/7*4)\/(-4))\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/630 - 4\/84\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153809026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x + 45*x - 141 = 8*a, 3*a - 240 = 7*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - a + 24 = 0, -7*a + 4*a + 12 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31\/(-155) + 18\/40. What is the biggest value in 2, -6, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p - p + 4*p)*(1 + 2 - 2 - 2 + 3 + 1 + 3 + 0 - 5 + (1 - 2 + 3)*(1 + 2 - 2) - 4 + 2 - 6 + 5 - 1 - 5)*(10 + 18 + 6 + (-3 + 4 - 2)*(1 - 1 - 1)).\nAnswer: 630*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/7)\/(1\/2). Suppose 0 = u + 4, -c*o + 2*u + u = -8. Is ((-38)\/(2 + 0))\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29541\/7 + -4220. Which is the closest to 72\/11? (a) o (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1953\/4 - 353485\/724. Let v = z + 356\/543. Let -2\/3 - 4\/3*i - v*i**2 = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let v(a) = -a**3 + 4*a**2 - 2*a - 2. Let n be v(2). Let j = n - 5. Put j, -5, r in descending order.\nAnswer: r, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 4 + 1)*(-3*l + 3*l - 3*l**3) to the form x*l**2 + o + u*l + i*l**3 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23353 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/18340 and 69\/2142112?\nAnswer: 10710560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4279982 divided by 13762\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/(36\/90) - -328. Do 326 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*y + 116 + 64, -4*y + 2*s = -192. List the prime factors of 13760\/38 + y\/(-475).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4)*s*s*s**(2\/7))\/(s\/(s\/(s**(-7)\/s)*s)*s\/(s**(-6)*s)) assuming s is positive.\nAnswer: s**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80304619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2 + 1465*m - 10. Let n(i) = -10*i**2 + 2198*i - 14. Determine -7*k(o) + 5*n(o).\nAnswer: -o**2 + 735*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 15*h + 46. Let o be s(11). Let i(x) = -20*x + 13. Let m(d) = -5*d + 3. What is o*i(p) - 9*m(p)?\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-908)\/(-64) + (5 + -13)\/((-63)\/((-882)\/8)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 - -152. Let w = -403\/4 + 101. Which is the fourth smallest value? (a) x (b) w (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 52*v**2 + v + 7. Let g(p) = 102*p**2 + p + 14. Let l(b) = -6*g(b) + 13*y(b). List the prime factors of l(-2).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -208*z - 3531. Let k be b(-17). Let a(g) = -g**2 - g + 5. Let y = 3 + -3. Let f be a(y). Solve v + f = -k*i - 1, -5 = 5*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693371005.13 less than 0.09?\nAnswer: -693371005.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5079, 19602, 43581, 77028, 119955, 172374?\n\"Answer: 2*n**3 + 4716*n**2 + 361*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131 + -430?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1063199*a**4 - 304266*a + 2.\nAnswer: -12758388*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2. Let v(g) = -357*g**2 + 111*g. Give v(z(l)).\nAnswer: -3213*l**4 + 333*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58056 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + 7.91. Let g = d + -9. What is the nearest to g in -0.3, -0.1, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -637547.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/3)*m)**(-11)*(m**(-1\/3)\/m)\/(m**(-3)\/m)*(m**(-6)*m*m\/m**3*m*m)**(3\/4) assuming m is positive.\nAnswer: m**(-365\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, p: 4}. What is prob of sequence vp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 36705685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - 175*a + 347*a - 2*a**2 - 173*a + 2*a**4 in the form j*a**2 + q*a + s*a**3 + t*a**4 + p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000001000000101 (base 2) to base 16.\nAnswer: 28205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -0.2, 163, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132743 is divided by 32035?\nAnswer: 4603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -1ba?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -259848.2 rounded to the nearest one thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -21, -60, -135, -258, -441, -696?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, t: 3}. What is prob of sequence tyy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**3 + 55*p**2 - 257*p + 16. What is a(7)?\nAnswer: 3313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 203*z - 1820. Let r be m(9). Let h(u) = u. Let q(c) = 24*c + 6. Let l(v) = 18*h(v) - q(v). Let n(p) = -p**3 - 7*p - 7. Determine r*l(w) - 6*n(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53458220 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 3*p = 3*l + 115 - 46, -4*l + 214 = -13*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -5 (c) 8\/3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - w + 17 = -4*w, -4*s = w + 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) - 0\/(-4). Let z(w) = -m*w - 3*w + 7*w - w. Let q(k) = -25*k**2. Give q(z(p)).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-27 + 47 - 24)*(44*q + 7 - 133*q - 7) - 2*q + q + 0*q + (4 - 6 + 0)*(2*q - 2 + 2) + 3*q - 4*q + 2*q.\nAnswer: -360*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*k - 15, -2*j - 5*k + 10 = 1. Factor 45 + 60*x - 60*x - 5*x**j.\nAnswer: -5*(x - 3)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 + (2 - (2 - 5))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9814285 millilitres in litres?\nAnswer: 0.0009814285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -202102 (base 3) in base 12?\nAnswer: -39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*i - 1018*i + 350 = 26020 - 60 for i.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2264, 5871, 9480, 13091, 16704?\nAnswer: 20319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 5:41 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3 + 24699 - 4*i**3 - 342*i**2 + 10048 - 2872 + 1587*i**2 + 12675*i = 0.\nAnswer: -5, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/960 and -149\/2400.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:28 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13605 divided by 3\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41544 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - 5*q**2 - 7*q + 3. Let j(x) = -x**2 - x - 2. Give -5*j(g) + u(g).\nAnswer: 3*g**3 - 2*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32667*b**3 + 54*b**2 + 17260731*b?\nAnswer: -196002*b + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(420\/530) + -9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 108*s**2 + 40*s**2 + 1 - s - 10*s + 9*s to the form h + y*s + r*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -24) + (8 - (260\/26)\/(7 + -6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 3*o**3 + 4*o**3 - 3 + 3 - o**3 + (0 - 2*o**2 + 0)*(-3*o - 3*o + 4*o) - o + o - o**3 + (-4*o**2 + 0*o**2 + 3*o**2)*(o - o - 2*o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (8\/(-10) + 496\/(-155)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/9)\/(2\/(-3)). Let m(t) be the third derivative of -h*t**3 - 1\/16*t**4 + 0*t - t**2 + 0 - 1\/120*t**5. Factor m(l).\nAnswer: -(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*h. Suppose 3*j - 2*l - 22 = h, 5*l + 5 = -20. Suppose y = -3*y. Solve y = -p - j*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1399\/50 - 28. Let k = 27\/100 + c. Let t = -0.035 - 2.965. What is the closest to k in 1, -4, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 + y - 11. Determine p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 7*k**2 + 44*k - 200. What is f(10)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6660)\/296)\/((-15)\/(-20))*-2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 2 + 4 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 22 = -z. Let h = z + 22. What is the remainder when 494\/78*(1 - -2) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.025 (b) 7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 - 7*d**4\/8 + 25*d**3\/6 - 10387*d**2. What is h(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*a + 3, 8 - 23 = 5*j. Let y = -230774 - -233081821\/1010. Let m = 1\/10 - y. Is a > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1142?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5910 is divided by 1442.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14486037919 and 6032?\nAnswer: 14486031887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:00 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.054 in 5, -2\/19, 3, 1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:34 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18443, 18445, 18449, 18455, 18463, 18473, 18485?\n\"Answer: l**2 - l + 18443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 6*c - 13*c**5)*(0 + 0 + 4).\nAnswer: -52*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -44a40b (base 12) in base 14?\nAnswer: -207679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.2586773 rounded to zero dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 15) + 796 + -773.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 1. Let w be x(1). Let p(d) be the first derivative of 2 + 5*d**3 + 0*d**w - 4*d**3 - 2*d. What is the first derivative of p(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 - -128.0415. What is o rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49915523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -405.49 to the nearest integer.\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8064 divided by -448?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*6*(20100\/120 - 167)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10076 - -1.8567262043.\nAnswer: -10074.1432737957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 25 = -4*t - t, 2*t - 3*h - 15 = 0. Let l(o) = -o**2 - 15*o + 34. Let q be l(2). Solve 2*x - y = -q*x - 7, -2*y = 4*x - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 1 + 182*q**2 + 92*q - 91*q**2 - 91*q**2 to t*q**3 + l*q + m*q**2 + y and give l.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*w = 281 - 274, 6 = -5*f + w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2\/43, -172\/71 in decreasing order.\nAnswer: -2\/43, -2\/13, -172\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -14*o + 1\/3*o**3 + 1 - 2*o**2. Let n be j(10). Calculate the greatest common divisor of n and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*a - 3*a + 16, -4*v + 5*a = 5. Let f = -1 - v. Suppose d - f*l = l + 30, -5*l + 120 = 5*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -301, -1207, -2717, -4831?\n\"Answer: -302*y**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3\/3 - 16*b**2\/3 - 44*b\/3 - 8 = 0. Calculate b.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 11*n**2 + 6. Let v be h(11). Let t be v\/(-2)*16\/(-12). Solve 3*r + 16 = b, -b = b + t*r + 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.71 - 2.19. What is m rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -0.000992?\nAnswer: -0.000992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1141600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14041.19 - -13906. Let z = s - -134. Let u = z + 1.19063. What is u rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 6681?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2699*y**2 - 24*y - 1. Let c be o(1). Are c and -2721 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + (-189)\/36 + (-2)\/(-8). Let p(y) = 2*y**3 - 4*y**2 - 1. Calculate the remainder when p(3) is divided by 3 - -7 - m*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4788?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 143360 divided by -5?\nAnswer: -28672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*i**3 + 145*i - 351*i**3 + 111*i**3 + 122*i**3.\nAnswer: 2*i**3 + 145*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let o = -2 + s. Solve -o*v - 5*i = 3*v, -3*i = -5*v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*g**2*o*y + 4*g**2*o + 5*g*o + 18*o*y - 11*o + 2*y - 3 wrt g.\nAnswer: -20*g*o*y + 8*g*o + 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 345*v + 2 - 1220*v + 528*v - 3*v**3 to the form p*v**3 + k*v + r*v**2 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -229?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48020.8 nanometers in millimeters?\nAnswer: 0.0480208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 4*m + 2. Suppose -2*x + 1 + 14 = 5*g, 5*g - 5*x - 15 = 0. Let i = -3 + 8. Suppose 0 = -0*k - i*k + g*u + 16, 2*k = -4*u - 4. Give j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, h: 2, o: 1, t: 6}. What is prob of picking 1 t and 1 e?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 7070616.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8762469 to the nearest integer?\nAnswer: 2960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*6\/(((-9648)\/(-448))\/(-67))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2194*t + 50423. Calculate z(-23).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 10. Suppose 111 = 3*s + q, 3*s - d*q - 140 = -29. Calculate the remainder when s is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 27*g + 103. Does 6 divide t(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0022 - -1566298.626371.\nAnswer: 1566298.624171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*h - 16 - 13, 4*h + 7 = -3*g. Let w = 10 + g. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2827*i - 1125. What is the tens digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 11*i**2 + 10*i - 21. Let c(m) = -m**3 + 5*m**2 - 5*m + 10. Let y(r) = 5*c(r) + 3*u(r). What is the remainder when y(8) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 259.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, -45, -156, 1, 16 in descending order.\nAnswer: 16, 2, 1, -18, -45, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x + 54*x = -138. Suppose b = -4*k - 309, 5*k + 401 = -5*b - 4. Let u = k - x. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*s + 1978, 0 = -y + s + 2*s + 502. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333172 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - c + 2740, 3425 = 5*x - 13*c + 18*c. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*-8*(-9)\/252?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + -0.5. Let w = -5.77 - -5.57. What is the closest to w in -2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g + 2. Let x be (-2 - -4) + (-3)\/(-3). Let m be v(x). Which is the closest to -0.1? (a) m (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 375, 560, 727, 870?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) - sqrt(1088)*-1*3) - sqrt(1088)) + 3 + 5 - (3 + sqrt(1088) + 5 - 1*2*sqrt(1088)))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3) + 2\/2. Let z(w) = w**2 - 7*w - 6. Let d be z(8). Suppose -4*p + 5*p - d = 0. Solve -3*b + 17 = p*y, m*b + 23 = -2*y + 5*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -598*c - 4. Let n(h) = 599*h + 3. Let q(u) = -3*f(u) - 2*n(u). Is q(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1319, 2447, 3385, 4037, 4307, 4099?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/6*105*106\/(-2120)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**5 - 71358735*w**4 - 379296605*w**2 wrt w.\nAnswer: 60*w**2 - 1712609640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let s(r) be the first derivative of 0*r**2 - 1\/3*r**3 + 0*r - 8. Give d(s(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byebybyacbc. What is prob of picking 1 e and 2 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1202\/(-7) - (-2)\/(-7). Let q = 246799 + -246801. Put f, -4, q in increasing order.\nAnswer: f, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l. Let y be g(1). Suppose 2*b = -y*b + 20. Suppose 0 = b*j - 4*p - 15, 3*p - 2 = 13. What is the remainder when 19 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -192\/835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 614801675.8 to the nearest one hundred thousand.\nAnswer: 614800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372*d**3*i*s**2 + 52*d**3*i*s + 2*d*i*s**2 + d*s**3 - 4*i*s + s wrt s.\nAnswer: 744*d**3*i + 4*d*i + 6*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/((-8)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22) + 16 + -16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, 4, -3 in increasing order.\nAnswer: -5, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 44156973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 16. Suppose -6 = -2*c + w*c. Sort -2, c, 1 in descending order.\nAnswer: 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 558*p - 504. Let y be q(2). What is the greatest common factor of y and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*j = -7, 27 = 4*k - j + 4*j. Suppose -k*i + 190 = -i. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11*y**2 + 1)*((-1 + 4 - 2)*(-4*y + y + 5*y) + 3*y - 4*y + 3*y + 3 - y - 3 - 3*y + 5*y - y)*(-79 - 101 + 214).\nAnswer: -1496*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 78*a**3 - 579*a**2 - 936*a - 432.\nAnswer: -3*(a + 1)**2*(a + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 13, 16, 19?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 665 = 5*f, -2*f + 5*h + 229 + 72 = 0. Suppose -4*g - 263 = -275. Suppose -g*d = -36 - f. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2541.3105 - -2541. Round s to 2 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/9 + 578*o\/9 + 580\/9 = 0. Calculate o.\nAnswer: -1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16457862 - 11657865. Suppose 3*g + j = -x, -2*x - g - 9599998 = g. What is x rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1908 and 127\/18444.\nAnswer: 55332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/9, 2\/7, -9.5, 519?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = -4. Suppose 3*o + 15 = 0, u*k = 4*k + 4*o + 22. Is k equal to -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -588 - -5893\/10. What is the common denominator of z and 3 + 250\/(-24) + -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m - 5. Let v(z) = 104*z**2 + z. What is v(j(g))?\nAnswer: 33696*g**2 + 18702*g + 2595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q + 82552 - 82539 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*a + 2)*(0*a**3 + a**3 - 3*a**3 - 4*a + 4*a + 5*a**3 + (-a**2 + a**2 - a**2)*(3*a - 2*a + a) + 3*a**2 - 3*a**2 - 2*a**3).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:15 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**5\/60 - l**4\/12 - 4*l**3\/3 - 5. Let a(n) be the third derivative of x(n). Differentiate a(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113927 is divided by 452?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(41\/10 - 4). Let s be (0 - (w - -3)) + (1 - -7). Solve v - 5 + s = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76554.96 seconds in microseconds?\nAnswer: 76554960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69764 - -737.\nAnswer: 737.69764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 6*p - 41)*(4 - 3 - 3)*(-2 - p**2 + 2).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-2 - -2))\/2. Let b = 3 + l. Calculate the common denominator of -91\/2 and b + (-202)\/16 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, w: 1, y: 2, d: 4, p: 4}. What is prob of sequence ypw?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(336\/154) + 70\/6. What is the third biggest value in 3, -10\/9, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*m - 15*m**3 - 9*m**3 + 2*m**4 - m**2 - 11*m**3 + 1 + 50*m**3 as v*m**4 + h + w*m**2 + b*m**3 + c*m and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -48*z + 29. Is k(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2*r**2 - r**3 + 59*r**2 - 18*r**2.\nAnswer: -r**3 + 43*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 7 - (1 - 1)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p + 1. Let l be t(-1). Let z be 20 - (4 - 1) - l. Factor 13*u + 4*u**3 + 7*u + 5 + 3 + z*u**2 - 4*u**2.\nAnswer: 4*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1109 + -589. Calculate the remainder when s is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 664, 1222, 2750, 5734, 10660, 18014, 28282?\nAnswer: 41950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -627.7 times 169\nAnswer: -106081.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2431 + 2428 - ((-496)\/138 - (-5)\/15)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j**3 + 96*j**2 - 78*j + 6. Let g be v(28). What is g rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 759 and 126551589?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-1\/5))\/u*u*u)\/(u\/(u\/u**5))*(u**(-1\/9)*u)\/(u\/u**38))**4 assuming u is positive.\nAnswer: u**(6496\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 711\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 13*p**2 + 15*p + 17. Let v be t(-14). Suppose -i + 134 = 5*s, 89 = 3*s + v*i - 1. What is the remainder when 102 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -17. Let f(g) = -g**3 + g**2 + g - 2. Let t(h) = -h**3 + 2*h**2 + 2*h - 3. Let c(n) = n + 22. Let q be c(-20). Calculate q*t(b) + s*f(b).\nAnswer: b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 30 - 4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21507 = -4*r, -3*x + 2*r = -13274 + 369. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a factor of 8621934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 330221 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(15\/8)\/(f*f\/(f*f\/(f**16*f)*f)))**(14\/9) assuming f is positive.\nAnswer: f**(-791\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, -8, -5 in ascending order.\nAnswer: -8, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 6 = 0. Let i be (-8)\/(-3)*(a - 6). Let n = i + 13. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.166 in 2\/15, 5, 1\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybxvgghv. What is prob of sequence vxvg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 7 = 5*a + 4*v, v = -2*a - 11. Let m = a + 12. Suppose -m*i - 12 = -9*i. Solve 1 = -i*s - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001220838 to 5 dps.\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*767.711.\nAnswer: -9980.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66, -161, -320, -573, -950?\n\"Answer: -5*p**3 - 2*p**2 - 54*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**7\/126 - j**6\/45 + j**5\/60 - 7*j. Factor z(h).\nAnswer: h**3*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4 - 4)*(-691*l**3 - 727*l**3 + 1500*l**3 - l**2 - 4*l).\nAnswer: 82*l**4 - l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 38*g**2 - 192*g - 102. Is 13 a factor of t(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/3 (b) -3\/4 (c) 0.15 (d) -1 (e) -2\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44024314 (base 5) in base 10?\nAnswer: 376834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 32 = -4*k, 45*k + 11 = 5*b + 48*k. Find the second derivative of 22*g**4 - 31*g**3 + 19*g**b + 24*g**3 - 30*g**4 - g - 4 wrt g.\nAnswer: 132*g**2 - 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1826*w + 9126. What is b(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:15 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 1094010.\nAnswer: 5470050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (-12 + (3 - -9) - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/8 + 3\/8. Suppose -s - 4*s + 4*k + 52 = t, 5*s - 56 = 2*k. Calculate the remainder when 47 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-126) + 2035\/770.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -83380754?\nAnswer: 83380750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from txxxtttxxxxxxttxtttx.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 14. Let u be m(-7). Let i(y) = 3 + y**2 - 4*y - 5*y**2 + u*y**2 - 2. Let j be i(3). What is the highest common factor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 16) to base 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-47)*((-554)\/(-831))\/((-4)\/3).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.32185 + 7.62185. Let f = -20 + 0. What is the closest to k in 1\/7, -5, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**2 + 89*f**2 + 35*f**2 + (-4*f + 0*f + 2*f)*(4*f - 3*f + 0*f) + 4*f**2 - 2*f**2 - f**2 as v*f + g + x*f**2 and give x.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 - 6*r - 3. Let g(v) = -v**3 + v + 1. Let a be -136 - 8\/12*-6. Let b = a - -138. Calculate b*g(c) + t(c).\nAnswer: -c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/120)\/(3\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*b - 0*b. Let m = b + -2. Suppose -j = -k + 4, -m = k - 4*k + 5*j. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 157*g**2 - 247. Let a(h) = 3*h. Calculate a(b(s)).\nAnswer: 471*s**2 - 741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1587.0121 - 1587. What is f rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13978 divided by 2\nAnswer: -6989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -423*c + 5. Let a(z) = z**2. Give a(f(v)).\nAnswer: 178929*v**2 - 4230*v + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -250?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -542\/817 + 24\/43. Let q = -1 + -3. Let n = -4.3 - q. Sort n, t, -1\/3 in decreasing order.\nAnswer: t, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 1. Calculate the smallest common multiple of 8\/d*2*-1*18 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015489401 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10*44\/22?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*2\/(-3))\/(34\/(-51)). Suppose -m = -3 - d. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(0 - 2\/16). What is the nearest to r in -0.1, -5, 10\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0291 and 0.3.\nAnswer: 0.00873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 11.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2\/9 - 46617572*t\/9 - 271649752396898\/9 = 0.\nAnswer: -11654393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -23*w + 126. Let j(d) = -2*d + 8. Calculate j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -497*z**2 - 284*z - 284. Let r(y) = -5*y**2 - y - 1. Determine o(s) - 284*r(s).\nAnswer: 923*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16031 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 118 = 100. Suppose -q*p - 12 = 2*u + p, 4*p = -5*u - 12. Let t(j) = j**3 - j**2 + 2. Calculate t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23372395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 - 3. Let u = k + 6. Let b(w) = 4*w**3 - 3*w**2 - 2*w + 2. Let y(c) = c**3 - c**2 - c + 1. Calculate u*y(m) - b(m).\nAnswer: -2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 18*v + 84 = -4*l, l = 3*v - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*g**4 + 5*g**4 - 39*g**4)*(-21 - 12*g + 8 + 12).\nAnswer: 828*g**5 + 69*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-1 - -1) + (2 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(8\/(-6)) - (2 + -11). Suppose 4 = 4*z - 2*z - 2*r, p = 3*r. What is the second derivative of -53*w - w**z + 41*w**4 + 39*w + 41*w wrt w?\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i + 142. Give d(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791100239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 8*u**2 + 0*u**2 + 0*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 1. Let v be a(1). Let s = -3 + v. Let c be 2 - (48\/20 - 0). What is the second biggest value in c, s, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:06 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -16*j**2 + 219*j - 324. Calculate a(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000111111111 (base 2) to base 5.\nAnswer: -10344443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -5*h - 3*k, k - 192 = -0*h - 4*h. Let j be (-57)\/1083 + 96\/19. Solve j*w - h + 24 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -20. Let p = 12.63 + l. Let h = -0.13 + p. Which is the smallest value? (a) 0.4 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10120 (base 3) to base 13\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 7*x)*(2 - 1 + 0)*(80*x - 170*x + 63*x).\nAnswer: -189*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000539 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -3 (b) 4 (c) -1\/45 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o - 12. Determine n(-9).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -13*n**4\/4 - 49*n**3\/3 - 75*n. What is the second derivative of y(m) wrt m?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-48)\/7 + -1)*(-8 - -9) and -97\/100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let j be p(6). Suppose -9 = -j*z + 6. Let k = -6 + z. Is -1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/(2 - 84\/36).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -111*b**5\/5 + b**4 + 179*b**3 + 807. What is the third derivative of d(g) wrt g?\nAnswer: -2664*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 66 + 66 + 3*l + 11*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0939 + -64.8061. Let i = -12.1 + j. Let v = i + 75.62. Round v to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 14*m**2 + 41*m + 92. Let s be k(-11). Solve 12*g = s*g - 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -730*k + 172 - 183 - 1102 wrt k.\nAnswer: -730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3, -7, -1\/5 in descending order.\nAnswer: -1\/5, -4\/5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 5*y - 377. Let j = 5 + y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 157228?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 54, 32, -8, 11 in ascending order.\nAnswer: -8, 4, 11, 32, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 19.46.\nAnswer: -9.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 1.01. Let n = w - 2. Let u = -1.7 + 2.1. What is the nearest to -2\/9 in u, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21913, -88160, -198565, -353122, -551825, -794668, -1081645?\nAnswer: -1412750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w. Let t = 31 - 26. Let g(q) = 44*q. Let z(c) = 88*c. Let n(m) = t*g(m) - 3*z(m). Give n(r(d)).\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/6)\/(2\/(-6)))\/((-115)\/138)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**7\/105 + 16*a**6\/75 - 99*a**5\/50 + 146*a**4\/15 - 80*a**3\/3 + 192*a**2\/5 - 2*a - 4. Suppose c(i) = 0. What is i?\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 4. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35587 in 1, 10, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26384 - -39875. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2360\/67260 + (-286)\/(-1596).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10115938 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 the remainder when 147951 is divided by 558?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -3, 15 in increasing order.\nAnswer: -3, 15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000201111200 (base 3) in base 5?\nAnswer: -114430121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*c + 33 = 4*m, -3*m + c + 21 = 0. Suppose 2*n = n + m. What is the units digit of n + 3\/(-3)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/86 and -38\/3655545.\nAnswer: 314376870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249267 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 4*l. Let q be c(-2). Suppose -3*j - 29 = 76. Let a be q\/14*j\/(-20). Is 0 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen thirds of a day in minutes?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1301431341 - 0?\nAnswer: 1301431341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11242 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/45 - -4)*4\/14\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 537.78*-10\nAnswer: -5377.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {d: 2, s: 3, y: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 15. Let j be d(5). Suppose 5*r - 15 + 5 = j. Let u(h) = -3*h**2 + 2*h**2 + 0*h**2 + h. What is u(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4 - 24*v**3 - 2907*v**2 - 54626*v - 300144 = 0?\nAnswer: -24, -13, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 4*r + 3*r)*(2*r**3 - 5*r**3 + r**3) + 15*r**4 + 0*r**4 - 9*r**4 - 2 - 2*r**4 + 2 in the form x*r**3 + g*r**4 + s*r**2 + t + p*r and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 4. Let g be (0 + 0)*3\/6. Let r be o(g). Let a(f) be the third derivative of f**5\/60 - f**4\/8 + f**3\/3 + f**2. Determine a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.7. Let n = 68 - 65. Let u = -10587 - -10585. Which is the second biggest value? (a) n (b) u (c) -2\/5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -224439, -448850, -673261, -897672, -1122083?\n\"Answer: -224411*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*j + 9 = 3*r, 0 = 3*r - 20*j - 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110851\/133 - -5835\/7. Find q, given that 0 + p*q**3 + 2\/19*q**2 + 0*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3214 divide 291161002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 118\/19 (c) -2 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13640 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00070451 rounded to 5 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = -4*i, -5*i - 10 = -4*i + 4*f. What is the third derivative of -2*h**2 + 564 + i*h**5 - 6*h**5 - 564 wrt h?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -32542*k - 260338. What is q(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 - 3*p**3 + 3*p**3 + (4*p - p + 2*p)*(-4*p**2 + 4*p**2 - 2*p**2).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72947 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 0*u**5 + 0*u - 22 - 7\/3*u**3 - 3\/20*u**6 + 0*u**4 + 1\/105*u**7 - u**2. Differentiate i(h) wrt h.\nAnswer: 8*h**3 - 54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -20 + -67 - -53\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 2*l + 1. Suppose -9 = 3*d - 3. Let k(f) = f. Let w be k(d). Let c = w - -5. What is s(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 2861 + 847 = 0. Calculate the remainder when r is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 8 + 12)*(0 - 2*z**4 + 0 + (3 + 2*z**3 - 3)*(0*z - z + 0*z) + 3*z**4 - 2*z**4 + 0*z**4 + (-3*z**3 + 2*z**3 + 3*z**3)*(2*z + 4*z - 5*z)).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-15\/7)*i)**(-1\/45))**15)**(3\/4) assuming i is positive.\nAnswer: i**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3276 = -3*a - 5*v, 3*a - 1102 = 2*a - 5*v. Is a 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 {l: 7}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 = 140. Let f be 0\/(-2) + -5 + -6 + t. Find the first derivative of n**2 - 107 + 4*n**2 + f*n**2 + 96 wrt n.\nAnswer: 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 + 6*a - 2. Let n be c(4). Differentiate 5*q + 2*q + n + 3 + 3 with respect to q.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9092541841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1312171 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/4, -16683087\/11 in descending order.\nAnswer: -1\/4, -5, -16683087\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -2. Suppose -3*a - 20 = -x. What is the units digit of (4\/a)\/(10\/(-405))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 25816775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 767*y**3 - 11*y**2 - y - 31. Let f be p(-10). Let v = 208121 + f. Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**4\/24 - 5*h**3\/3 + h**2 + 429*h. Let i(j) = j + 2. Let x be i(5). Let f be k(x). Sort 3, f, 2 in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204972 is divided by 2562?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let t(u) = -4*u + 1. Suppose -5*k + 12 = -2*r, 4*r + 6 = 2*k - 2. Let b be 0\/(r + 6 + -3). Suppose b = -o + 12 - 18. What is o*l(i) + 2*t(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.083178227912928 and 0.07?\nAnswer: 0.013178227912928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0*q + 9*q - 7*q)*(0 - 6 + 5).\nAnswer: -2*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 14*w + 4*w - 6*w to p + g*w and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 558 - 4806 - 172846*n**2 + 172847*n**2 in the form d*n + l*n**2 + j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j - 4. Suppose 746 = j*u - 1218. Let c = 1877 - u. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490080409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5121399 and 789.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 9:25 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 10, l: 3, w: 2}. Give prob of sequence wp.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -976 = -3*b + 5*b - 4*c, -2420 = 5*b - 5*c. Let z be (-30000)\/(4 - (-1938)\/b). Round z to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 43*t**3 - 47*t**2 - 32*t + 145. Let w(a) = -26*a**3 + 24*a**2 + 16*a - 72. Let s(i) = 5*w(i) + 3*z(i). Give s(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -39 - (-5 + 3 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621313113 to the power of 1\/3, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -1.7. Suppose -y + 0*y = 14. Let q = -25 - y. Is q bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 36 = -36. Let s be (6\/9)\/((-4)\/m). Suppose 5*p = -2*j + 73 + 17, -54 = -s*p - 3*j. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (123 - 118).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(120)*2*2)\/(sqrt(80)\/(sqrt(24)\/sqrt(3)) - sqrt(40)\/sqrt(4)*3).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5984 + -4036. Suppose 6*o = k - 412. Is o a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13182 by -8.\nAnswer: 6591\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -5, 6, 2, 1\/43, -0.053?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717571354?\nAnswer: 2, 83, 359, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6222 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1535 - 1483. What is the greatest common factor of 6 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -36*a**3 + 4*a. Let b(j) = -747*j**3 + 21*j. Let o(x) = -34*x**3 + x. Let l(u) = 2*b(u) - 45*o(u). Give 3*h(w) + 4*l(w).\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/5)\/((r**(1\/5)*r)\/r)*(r**(2\/5)\/r)**(2\/3))\/((r**1)**(-37)*r*r\/(r**(-3)*r)*r**6) assuming r is positive.\nAnswer: r**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9559 + 0.4559. What is the second smallest value in -3, -0.3, l, -0.53?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 = 0, -4*w - 10 - 6 = 4*h. Let c be -3 - (w + 8 + -13). Solve -2*n - 1 = -c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/5*6\/(-8). Suppose -a - a = -c. Suppose a*l - 4*d - 20 = -2*d, 0 = -d + 2. Which is smaller: l or 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 + 177. Suppose -9*d - 6*d + g = 0. Solve 4*s = d*u - 12, 5*s - 3*u + 16 = u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -12, -4, 1228 in ascending order.\nAnswer: -12, -7, -4, -1, 1228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2600265 divided by -5.\nAnswer: -520053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.03 (c) -1160 (d) -0.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 3*t. Let l be r(-2). Suppose 0*x + l = x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 = -5*f + 9. Let n be (-2)\/7 + f\/49. Let 10*r - 12*r**3 - 4*r + 3*r**5 - 3*r**4 + 3*r**5 + 6*r**2 - n = 0. What is r?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-274)\/(-88) - (-2849)\/(-1036))\/(24\/44)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 77.69954 nanograms?\nAnswer: 0.00007769954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 - 0.04. Put -2, -2\/17, r in descending order.\nAnswer: r, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21 + -85)\/(-1 + 0). Let n = h + -102. Solve -3*f = n*l - 22 - 3, f - 15 = -3*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6938866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 2?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**2 - 5701296*v + 3800868 = 0.\nAnswer: -633478, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -4, 2, 1456 in ascending order.\nAnswer: -4, 2, 225, 1456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46406, -46052, -45700, -45350?\nAnswer: -45002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*o - 12, 3 = -5*o + 4*h - 13. Let r = 82\/3 - 25. Let f = 41\/15 - r. What is the fourth biggest value in -1, 3\/4, f, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (sqrt(4320) - (sqrt(4320) + 1*sqrt(4320))))\/((sqrt(100) + 3*sqrt(100))\/sqrt(10)))**2.\nAnswer: 363\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -16 - (20 + -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 11. Let t(w) = -w**2 + 45*w - 123. Let d be t(30). Let j = d + -1637\/5. What is the fourth smallest value in j, 0.3, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 q when three letters picked without replacement from piigqcs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/7)\/(40\/28).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.01. Let d = -0.15 - x. Let i = -6 + 6.4. What is the closest to d in 3\/5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*2*-6)\/sqrt(4) - (-2 + 1*sqrt(3) + sqrt(3) + 2)**2.\nAnswer: -12*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -214\/7. Let g = 2 - -1. Is a at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 32\/(-6))\/((-23)\/(-25392))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 6. Suppose 0 = k - 3*k - h + 38, -4*k = -2*h - 68. What is the units digit of (k - b) + 6\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 264*x**2 - 8*x - 9. What is the units digit of v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 73. Suppose p*d - 3*d = 55. Suppose -s + d*s = 110. Calculate the least common multiple of 5 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-15 + -5 + 10 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 90 = 0. Let v(b) = -7. Let i(t) = t. Let g(p) = -4*i(p) - v(p). Calculate the remainder when k is divided by g(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4))\/(1\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 227781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.5, 2, -0.3, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from aananananaaaaa?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 171, 457, 931, 1593, 2443, 3481?\n\"Answer: 94*w**2 + 4*w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 5*l**6\/12 + 43*l**3\/3 + 7*l**2 - 3*l. What is the derivative of i(f) wrt f?\nAnswer: 150*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n - 91 + 3 = 0. What is the units digit of (3369\/n)\/((-108)\/144)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 4. Let o be g(6). Let u = 0.06 + -0.26. Let i be (-4)\/(-64)*-14 + (-6)\/32*-2. What is the second biggest value in i, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - p**5 - 2*p**5 - 3*p**5 + 2*p**5 + 2*p**5 + (2 + 4 - 4)*(3*p**3 - 2*p**5 - 3*p**3) - p**5 + 0*p**5 + 0*p**5 - 2*p**5 + 5*p**2 - 5*p**2.\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 483.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 600437?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 + -2 - -1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -206\/3. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3013 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (-78 + (65 - 24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11521*m. Let j(y) = 120*y. Give -3*b(k) - 287*j(k).\nAnswer: 123*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 6*u + 6. Let q be n(3). Put 3, q, -2 in decreasing order.\nAnswer: 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 a when four letters picked without replacement from faajaaj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59\/4 in -2.2, -1\/6, 2\/5, 30, 3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126449.784 rounded to the nearest 1000?\nAnswer: 3126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.4 rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16280.958 + 16261. Let k = q - 0.042. Let i = k - -13. Which is the smallest value? (a) -0.5 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-330) - 0\/(-4). Let s(j) be the second derivative of -13*j - 1\/5*j**3 + 0*j**2 + 1\/50*j**5 + v*j**4 + 0. Solve s(d) = 0 for d.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2047 + -2047. Solve c = 67*i - 68*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -5395, 0, 1.\nAnswer: -5395, -30, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89947595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.2. Let y = 4 - 9. Put -1, y, q in descending order.\nAnswer: q, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/1870 + 2022\/(-924).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351248 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4299 divided by -44\nAnswer: -4299\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 60*d**2 + 642*d - 33. What is x(-9)?\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2393872*b**3*s - 5*b**2*s**3 - 3*b**2 + 4*b*s**3 - 21*b*s - 2*b - 1916*s**3 - 4*s wrt b?\nAnswer: 14363232*b*s - 10*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8*k = -10*k - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22914095*s**2 - 15623357*s wrt s.\nAnswer: 45828190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 458, 502, 550, 602, 658, 718, 782?\n\"Answer: 2*l**2 + 38*l + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y - u = -48*y - 90, -5*y - 4*u + 6*u = -90 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p**(-2)*(p*(p**10\/p)\/p)\/(p\/p**(-2\/5)))**(-17) assuming p is positive.\nAnswer: p**(-2533\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o - 6. Suppose -9 = 2*f - 3*u, 4 - 1 = 2*f + u. Suppose -4*i - 9 = -2*c + 7, f = i + 3. What is the remainder when 78 is divided by s(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1860*g**2*h**2 + 12*h**2 - h wrt g.\nAnswer: 3720*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -6*(-4 + sqrt(27)*-1 - (sqrt(243)*-1)\/sqrt(9))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 4. Let n be y(10). Let p = n + -25. Let h(k) = k**2 - 2*k + 14. Is h(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 27384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 412944389 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 13\/10 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 52. Solve -2*f = -6*f - q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 2*t - 106 - 113 - 38 to the form h*t + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 193 = -3*r, 7*r - 2*r = 5*o + 320. Let q be r\/(-26)*6\/(-15). Is q >= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*t, -2*t - 6 = -4*a - 0. Suppose a = -2*c + 7. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(104)*-1)\/sqrt(8))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:25 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -56. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37042568 is divided by 146?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -41370542 (base 8) to base 2\nAnswer: -100001011111000101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yffyfccfyfc. Give prob of sequence yycy.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -552 - -27?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmttttttmmttmtt. What is prob of sequence mm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*-1*4 + -5)*2*6*5)**2.\nAnswer: 1296000*sqrt(3) + 14086800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1450 = 3*o - 2387. Suppose -2*f - 2566 = -4*l, -2*f - o = -2*l - 5*f. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 - -233. Solve -34*i - 8 = -p*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -693 + 885.4. What is l rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189231 is divided by 63043?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2146578, -2146577, -2146576, -2146575?\nAnswer: -2146574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 20013621?\nAnswer: -20013641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 19\/2)*(0 + -2) - -13.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2849 and 652828?\nAnswer: 4569796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 10, -3*i = 3*n - 0*i - 21. Suppose -4*z = -n - 11. Sort 3, z, -4, -27.\nAnswer: -27, -4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7362190 rounded to the nearest ten thousand?\nAnswer: -7360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 - 458 = -16*y. Suppose -3*k = -2*o - k + y, 2*o + 3*k - 95 = 0. Solve 5*f = 5*s + o, 4*f - 23 = -3*s + 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1. Let p(w) = 4*w + 14. Let y(h) = 5*l(h) + p(h). Let u be y(-6). Sort 0, u, -41 in ascending order.\nAnswer: -41, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -41, 21 in descending order.\nAnswer: 21, 5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -306171684 and 0.\nAnswer: -306171684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 14\/(-6))*(-310 - 561\/33). Solve -40*u + x = -211 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 14*c**2 - 2*c + 3. Let k be d(-9). Let p be ((-2)\/(-20))\/((-8)\/k). Which is smaller: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 29.2?\nAnswer: 116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 326 - 13214. What are the prime factors of k?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1047*g**2. Let l(p) = 4*p**2. Calculate m(l(b)).\nAnswer: -16752*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 353*u**3 + 27453*u**2*v + 2*u*v - 82*u - v + 52071 wrt u?\nAnswer: 2118*u + 54906*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 64, 143, 260, 421?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-236)\/59*1690\/104.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 128626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020047804761 rounded to five decimal places?\nAnswer: 0.02005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-12)*(-66)\/(-90)*-9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + -146. What is the units digit of 1036\/6 + 1\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + a + 85 = 0, t - 2*a = 24 - 4. List the prime factors of (t\/9 + -3)*57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*d = -240*d + 1392 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = l, -4*l - 17 + 1 = -2*x. Calculate the least common multiple of 120 and x.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 128.7 (b) 23 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 166 - 225*j**4 + 3*j + 164 + 3*j**2 - 328 - 175*j**4 + 0*j as k*j**4 + n*j + g*j**3 + f + w*j**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3217 and -1.3?\nAnswer: 3218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -2. Let g be 5 - 4 - 9\/7. What is the nearest to g in 4, r, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + 2.305. Let h = 0.005 - z. Which is the biggest value? (a) 0 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -133548*y - 21. Let v be h(9). Let w = v + 1686342. Let n = -1634389 + w. What is n rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1156379 to 3 dps.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -776b5 (base 13) to base 12\nAnswer: -a5330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c**2 - 13598*c - 36 + 13598*c + 25.\nAnswer: -72*c**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + a**2 + a - 2. Let h(t) = 22*t**3 - 133*t**2 - 6*t + 13. Determine -h(k) - 6*r(k).\nAnswer: -10*k**3 + 127*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*h**3*y**2 + 23*h**3 - 43*h**2*y - 4*h*y**2 - 4*y**2 + 2 wrt y.\nAnswer: 238*h**3 - 8*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490371267 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + 427\/21*27?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 1 + -1)**2*-4 + (sqrt(405) + ((sqrt(405) + 1)*-2)**2 - (sqrt(405) + 0)**2*4) + -4.\nAnswer: -1620 + 81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 7)*(3*c - 2*c - 2*c)*(1 + 5 - 1) + 6*c - 4*c - c.\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 4 + 4 + (100 - 100 + 8*a)*(-8 + 22*a + 8).\nAnswer: 174*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/440 and -27\/28?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61315 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/(-8))\/((-51)\/(-11016)*-81)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.2297932339 + 12.2298. Round v to 7 dps.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45001*a**3*g*y**3 + a**3*g*y + 2*a**2*g*y**3 - 23*a**2*g*y**2 + 2*a**2*g*y - 13*a*g*y**3 wrt a?\nAnswer: -270006*g*y**3 + 6*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 40 = 4*t, -31*v + 32*v + 10 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34234 + 0.54234. Let n(d) = d + 8. Let q be n(-6). Let s be ((-12)\/5 - 0) + q. Which is the nearest to j? (a) s (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m*m*m)**(2\/15)*m*(m\/((m\/(m**(-4)\/m))\/m))\/m*m**(-3\/8)\/m*(m**(-2\/3)\/(m*m\/(m**(-2\/7)\/m)))\/((m**(-3)*m)\/m*m**(-2\/19)) assuming m is positive.\nAnswer: m**(-31683\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -20*m**2 - 1\/30*m**5 + 0 - 1\/210*m**7 + 0*m**3 + 0*m**4 - 1\/672*m**8 + 7\/240*m**6 + 0*m. Determine f, given that k(f) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.89 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4839992*p**4 - 8230721.\nAnswer: 19359968*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.1 - 35. Which is the fourth biggest value? (a) 2\/21 (b) x (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14595*y + 5447. Is r(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -366696837\/7 and -52385261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11647, 20040, 21919, 14026, -6897, -44108, -100865?\n\"Answer: -543*n**3 + n**2 + 12191*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -919.675195 to the nearest ten.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*v - 65 + 5, 0 = 2*s - 4*v - 66. Let w = s - 27. Suppose 30 = -3*t - w*t. Which is greater: t or -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Find the second derivative of y - 3*y**2 - 2*y**2 + g*y - y wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 6 = -22*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1536, 5190, 11270, 19782, 30732, 44126, 59970, 78270?\nAnswer: 99032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.056 + -4.056. Let h = 719 - 677.3. Let f = l - h. Which is the fourth smallest value? (a) -4 (b) -1 (c) f (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91484.5 to the nearest 100.\nAnswer: 91500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -16. Let k = n - -11. Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105875 - 16093061\/152. Find the common denominator of -131\/42 and z.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s**4 - 370*s**3 + 80*s**2 = 0. What is s?\nAnswer: 0, 2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 14*y**2 - y - 1. Let x be d(-2). Let i = -7540 - -7502. Let q = x + i. Calculate the remainder when 92 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 98, -1.6, -6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4029 and -0.013442.\nAnswer: 54.157818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 p when four letters picked without replacement from pkpppppp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 79*a**2\/4 + 301*a\/2.\nAnswer: -a*(a - 7)*(a + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64746 and 0.33.\nAnswer: -21366.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1 - 11 = 0. Let g = 3.295 + -3.095. What is the closest to g in -1\/12, -3, v, 3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 6*j**3 - 7*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21931469.\nAnswer: 7, 47, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -51. Let i be -1 + (m\/16)\/(-3). Let q = -47\/5 + 213\/20. Which is the closest to 1\/3? (a) 5 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -48. Let b = 45 - q. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/52 - (-56)\/26. Let j(m) = -3*m**2 + 35*m**3 + 8 - m**v + 2*m**2 - 10. Let s be j(2). What is the greatest common factor of 30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 566 + -565.9866. What is i rounded to 4 decimal places?\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)*3*3*-2)**2 - (-6*(-3 + sqrt(108))**2 + sqrt(108) + (sqrt(108)*-2 - sqrt(108)) + -4).\nAnswer: -204*sqrt(3) + 315634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from yaupyuuuu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjeyeqqjcchq. Give prob of sequence ec.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 2*m + 1. Let g(w) = 2*w**3 - 5*w**2 - 11*w - 4. What is -g(l) - 4*s(l)?\nAnswer: -2*l**3 + l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74570 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 23. Suppose -z - 14 = 6. Let p = b - z. Solve -5*y - 3*k + 2*k = p, -4*y + 4*k = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*-1 + -5. Let u = v - -8. Sort -2, -4, u in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 9. Let d = -9 + 13. Let v = d + -3. What is the second smallest value in 0.2, v, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 31*g - 76. Give w(5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -649, -5062, -16969, -40096, -78169, -134914, -214057?\nAnswer: -319324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 1 + 2\/21*q**7 + 0*q**2 + 2\/3*q**4 - 4\/15*q**6 - 1\/5*q**5 + 0*q**3 - 2*q. Factor c(b).\nAnswer: 4*b**2*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68180*j**2*r**3 + j**2*r**2 + 88*j**2*r + 139*j*r**3 + 178*j*r**2 + 6*r wrt j.\nAnswer: -136360*r**3 + 2*r**2 + 176*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.06 - -0.06. Let q be (-6)\/(-14) - (265\/(-35) + 5). Suppose -12*p + q = 3. Which is the closest to p? (a) l (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(204)\/(sqrt(6)*-1))\/sqrt(2).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + ((-25178)\/(-24) - -1) - (-175)\/105. Which is bigger: 1049 or u?\nAnswer: 1049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 9*d + 6*d - 11, 0 = -3*s + 5*d + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108227419.\nAnswer: 108227419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/2)\/(-7)*12\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - 2 - (3 - 0). Suppose -5 = s + 4*j, 3*s - 5*j = 2*s + r. Let o = -3 - 1. Which is the closest to s? (a) -2\/3 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 2392059?\nAnswer: 2392054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**4 + 3*u**3 + 6*u**2 - 3065*u + 5669238.\nAnswer: -8*u**3 + 9*u**2 + 12*u - 3065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -30. Suppose 5*x + w*q = 1987, -x + q + 3*q = -393. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s - 96 = 0. What is the greatest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - 3.5. Let u = -2 - -1.1. Which is the smallest value? (a) -1 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132))\/sqrt(11))\/(-1*sqrt(150)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2928 and 11\/96.\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 108, 157, 242, 375?\n\"Answer: 2*r**3 + 11*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31391286.\nAnswer: 2, 3, 5231881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-1)\/(-15))\/(((-90)\/(-9))\/(-30)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((29\/21)\/(-29))\/(2\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-11 + (10 - 4)\/1). Let w = 15 - 18. Are z and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -1.67, 2\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 347802\/455 - (-1 - (-14)\/10). Suppose -644 + w = 10*j. Calculate the remainder when 179 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 11*o - 12. Give n(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:21 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = o - 55, 5 = -2*j + 3*o - 30. Let g = j - -12. Let n be 2\/(-5)*(-20)\/8. Solve -g*h + 5 = -n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 536300 and 3460.\nAnswer: 536300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-848)\/(-39) + (-477100)\/22020.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 22*i - 20 + 12 + 11. Calculate the remainder when q(3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**2 + 362*o**2 + 125*o**2 + 31*o**2. Let y(n) = 3*n. Calculate i(y(g)).\nAnswer: 4581*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410564383 to the nearest integer?\nAnswer: 20262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 + 124. Calculate the remainder when 122 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4707217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4761 + 0.0741.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 578 + 2227 = 0. Find the common denominator of -11\/24 and -2 + ((-6)\/27 - z\/1512).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.825334629 rounded to three dps?\nAnswer: 0.825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229746 = 71*g + 46*g - 259431. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19\/6 - 145\/42. Let n(w) = w**3 + 6*w**2 - 7*w + 13. Let i be n(-7). Let q = i - 9. Which is the nearest to 0.1? (a) q (b) 3\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let r(j) = 90*j**2 + 20*j. What is r(h(l))?\nAnswer: 810*l**2 + 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -300*((-82)\/(-328) - (-22)\/(-24)). Let k(c) = c**2 + 4*c + 3. Let r be k(-5). Calculate the highest common divisor of r and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -13734700321995?\nAnswer: -13734700321991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(931))*5*2.\nAnswer: 10 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3171 + 0.3171000408. Round n to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {d: 8, w: 4, x: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 - 3*w**3 - 3*w + 4*w**3 + 3*w in the form o*w**2 + i*w**3 + m + b*w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 218?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 2 = 4*z, -10 = -5*h - z. Let p(d) = 0*d - h*d + 0*d - 4*d. Let n(r) = -r - r + 4*r - r. Give n(p(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t. Let r(p) = -2*p - 22*p - 7*p. What is r(x(i))?\nAnswer: 62*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 7*q**2 + 8*q + 7. Let y be a(8). Let w be y + -5 + 59\/(-1). Let m be 4\/14 - w\/21. Solve m = -4*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8784706100 rounded to the nearest 1000000?\nAnswer: -8785000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 4, 8, -0.4, 180, -1\/14, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*u + 6 - 6 - 287*u.\nAnswer: -483*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**9\/5040 + r**5\/40 - r**4\/3 - 2*r. Let w(q) be the third derivative of o(q). Differentiate w(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347057861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 1\/5*y**5 + 1\/3*y**4 - 41*y**2 + 0*y + 0*y**6 - 2\/105*y**7 + 0 + 0*y**3. Find c such that d(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4109080 and 125990.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38265266 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.2. Let r = -0.8999952 - o. Round r to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336032, 336019, 336004, 335987, 335968, 335947, 335924?\nAnswer: 335899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w - 1260 = -y, 0 = -2*w - 3*y + 1252. What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776288 is divided by 15220?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 6:31 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 12816*f - 383527. Give o(-30).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/17 + 792*r\/17 - 2358\/17.\nAnswer: -2*(r - 393)*(r - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4181, 8360, 12539, 16718, 20897?\n\"Answer: 4179*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17335 - -1075?\nAnswer: 20432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -93, -188, -285, -384?\n\"Answer: -j**2 - 92*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.4. Let w = -4.3 + 4. Let a be -3 + 4 + 9\/(-12). Sort w, o, a in ascending order.\nAnswer: w, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/35 - (2 - 2). Let f = c - 1011\/70. What is the common denominator of 57\/8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Find the second derivative of -877*w**4 + 10*w + 15*w + 67*w - 94*w + 6476*w**4 + 121 wrt w.\nAnswer: 67188*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Let q be (-10)\/7*(-7)\/4. Which is bigger: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 4:54 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82748 (base 11) to base 9.\nAnswer: 203488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 7 = -26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 467410 and 1290?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -28*m - 4. Let g be (13\/39)\/(2\/(-12)). List the prime factors of b(g).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -154*g**2 + 9*g - 17. Let h(k) = k**2. Let d(x) = -h(x) - o(x). Is d(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326 is divided by 431.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37371.89 minutes to seconds.\nAnswer: 2242313.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -3*u**2 - 1\/12*u**4 - 3*u + 0 - 7\/6*u**3. Let z be y(-6). Let r(b) = -b + 8. What is r(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(-4 + 11 - (-9)\/6)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/14 - 17*d. Determine m, given that c(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45 - 12\/(-3)) + -4. Let p be (87\/8)\/(1\/2*7\/14). Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 9 - 12) + 9 + 1 + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {e: 7, k: 12}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7*t = -6*t. Solve -5*n - 3 - 2 = t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2012809.7607 - -2012945. Let a = -129.74013 + r. Let s = -5.5 + a. What is s rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*d + 20, -407*d + 409*d - 27 = -3*l for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179723 and 14787.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*p**4 - 489 + 489 - 11*p**4 + 180*p**4 - 47*p**4 + (2*p**4 + 0*p + 0*p)*(-1 + 1 - 1).\nAnswer: 157*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/9 - 2*i**4\/9 - 26*i**3\/9 + 26*i**2\/9 + 8*i - 8 = 0.\nAnswer: -3, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 6.\nAnswer: 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (165\/(-30) + 2)\/(3\/(-12)). Solve -3*k + 1 = h, -3*h + 3*k = 35 - c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70942034 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 366*v**2 - 3367*v - 3000.\nAnswer: (v - 375)*(v + 1)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21502*u = 21512*u - 50 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -584.5387*-135\nAnswer: 78912.7245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 316198846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -15 + 6 + -21\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85445 <= 85444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 - -5. Let a = n + -1.14. Let v = -0.05884 + a. What is v rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(1*-2))\/(38\/3306) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -10*p**2 + 3*p + 3. Let g(o) = 299*o**2 - 91*o - 91. Let q(f) = -3*g(f) - 91*k(f). Let z(b) = -19*b**2. What is -7*q(a) - 5*z(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 6*l - 20. Let o(m) = -2*m**2 - 7*m + 19. Let b(w) = 7*o(w) + 6*x(w). Let t(i) = 2*i**2 - 6*i + 6. Calculate 6*b(s) - 13*t(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5308121?\nAnswer: 7, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21722065 + -21722059.99999952. Let w = 3 - 8. Let l = s + w. Round l to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12*l. Let k(b) be the first derivative of 989*b**3\/3 + 3880. Calculate j(k(q)).\nAnswer: -11868*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 56 - 32) + 24 + -1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/15272 and -3\/25024?\nAnswer: 2076992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.1773\nAnswer: -0.8865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 - 26*m**3 - 16*m**2 + 14*m = 0?\nAnswer: -1, 0, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28227 - 331*q + 3*q**2 - 336*q + 85*q = 0 for q.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28091.\nAnswer: 7, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 3*d + 0*d)*(d**2 + 0*d**2 + d**2) + 3*d**3 - 4*d**3 + 3*d**3 - 5*d**3 - 7*d**3 - 12*d**3 in the form x*d**2 + y + s*d + g*d**3 and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 5*k + 5*c - 1, -55 = -4*k - 5*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Factor 4*a**3 - 352*a**2 - 1092*a.\nAnswer: 4*a*(a - 91)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*a - 5*w, w - 2 - 3 = 0. Let m(d) = 9 - 3 + a - d**2. What is m(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157126 divided by 6?\nAnswer: 578563\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-600)\/(-12)*-1*(-65 - -1) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 19 - 16 = 0. Suppose 5*d = 3*s + 240, -s + p*s = -5*d + 240. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-2 - (-2 - -1)). Suppose 27*r - 122 = -117*r + 598. Solve -3*p = r*z + 14, -m*p - 2*z - 11 = -3*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 21*j - 7. Let k be o(5). Let w = -1898 + 2045. Calculate the highest common factor of k and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as 0.037413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 211699 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)\/p)**(-5\/11))**(1\/36)\/((p**(-2\/5))**(-2\/5)*(p**(-7)\/p)\/(p*p**(-1\/3)*p)) assuming p is positive.\nAnswer: p**(31397\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -163\/40?\nAnswer: -163\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133417?\nAnswer: 133417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 1020*y**3 - 26*y + 1 + 13*y + 13*y - 1022*y**3 + 74*y**4 to the form o + t*y**4 + u*y**2 + w*y**3 + a*y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5)*-16*(-10)\/4160?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1. Let z(w) = -4*w**3 + 4*w**2 - 2*w + 2. Let c(d) = -6*h(d) + z(d). Let b be c(3). What is the lowest common multiple of b\/(-12) - 1\/(-6) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 571\/292752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 94\/11*w + 2\/11*w**2 - 1860\/11 = 0?\nAnswer: -62, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 640 = -960. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 303 + 58 = 0. Let d(c) = -c**2. Let n(i) = -3*i**2 - 10*i + 7. Let p(w) = 4*d(w) - n(w). What is the remainder when r is divided by p(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23392, -93917, -211462, -376027, -587612, -846217?\nAnswer: -1151842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-16 - (-18 + -5 - -17 - -59))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55933389.\nAnswer: 3, 41, 50527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1682078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7390 and 5173?\nAnswer: 51730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 0\/2) + 8. Which is smaller: 14\/3 or k?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-216))\/(21\/(-504))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.05 + 0.05. Let j = 2.98 + 1.02. What is the nearest to t in j, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -80*v - 165. Let p be j(-2). Sort 3, p, 10 in descending order.\nAnswer: 10, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**6 - 5605704*k**4*s**3 + 46*k**2*s**3 - 3*k**2*s + k*s - 40*s**3 + 441*s**2 wrt k?\nAnswer: -1440*k**3 - 134536896*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*(sqrt(30)*2 + sqrt(30)))\/((sqrt(10) + (sqrt(250) - sqrt(10)))*-3 + sqrt(10))*4)**2.\nAnswer: 97200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 10) to base 5\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32722978.62 - 746493.38. Let l = j + 33469664.00129. Let n = -192 + l. Round n to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7847 and -0.3?\nAnswer: -2354.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j. Let p(m) = -m**3 + 6*m + 5. Let o be p(-2). Calculate k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 9. Let o be (-4)\/12 + (-13)\/(-3). Let z(v) = -v - 5. Give o*m(n) - 7*z(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 10. Let d be l(-4). Let y = d - 21. Which is bigger: y or -3\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*v - 18445, -18418 = -5*h + 5*v - 9*v. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 17 - 8)*(n**2 - 3*n + 3*n)*(-8 - 12 + 0)*(6*n - 3 + 3) to h + v*n**3 + k*n**2 + y*n and give v.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.6. Let z = 132 + -922\/7. Which is the smallest value? (a) z (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 5*y + 4*y)*(11*y - 2 + 9*y - 16*y).\nAnswer: 20*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211324 + 211325. Let d(q) = 5*q**3 + 3*q**2 - q + 1. Let x(o) = -6*o**3 - 4*o**2 + o - 1. Let a(p) = 3*d(p) + 2*x(p). Calculate a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k = -144. Suppose -172 + 49 = -w. Let u = w - k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -80*x - 646. Give y(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0.32. Let f = 0.7 + w. What is the nearest to f in 0.04, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*18\/(-4). Suppose -3*k - g = 0, 0 = -4*c + 5*k - k + 36. Suppose -p + 7 = -c. Solve i + 4*m = -p - 6, -3*i - 28 = 5*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o)\/(o*((o*o**(2\/17))\/o)\/o))**47*(o**(-1\/6)\/o**5)\/(o**0*o*o**(-2\/27)\/o) assuming o is positive.\nAnswer: o**(33395\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36292 + -181456\/5. Solve -4\/5*l**2 - 2\/5*l + k*l**4 + 2\/5*l**5 + 0 + 0*l**3 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 24 = 9*f. Let p be f\/3 + ((-240)\/(-9))\/(-4). Is (-614)\/(((-3)\/p)\/((-1)\/2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -23. What is the first derivative of 2 + v - p**4 - 1 wrt p?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78702*c + 45*c**2 - 78706*c - 2*c**3 + c**3 + 3*c**4 as u + f*c**2 + k*c**4 + r*c + j*c**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*r - 2*n**2 - 7581*n*r - 38*r + 425534 wrt r.\nAnswer: -n**2 - 7581*n - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-4.06.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4302 (base 8) in base 10?\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*z + 29, 0 = -4*p + 2*z - 27 + 125. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*x = -520. Let a = x - -76. Calculate the remainder when 79 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 37 = -8. Suppose 0*n - 181 = -3*n - 2*u, -3*u - q = 0. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8389, -16420, -24449, -32476, -40501, -48524, -56545?\nAnswer: -64564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90, 499, 1196, 2193, 3502?\n\"Answer: 2*c**3 + 132*c**2 - c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/5 + 23430378*d**2\/5 + 68622744646464*d\/5 - 480360360614456\/5 = 0.\nAnswer: -5857598, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23996 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 49*h + 20. Let i = -207 + 130. Let p = 116 + i. What is the remainder when p is divided by n(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 616683 by 32457.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 68*w + 1904 = 0, -w - 21 = 3*h - 11 + 18 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((12\/18)\/(-2))\/(1\/(-6)). Solve -p + 14 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-2\/13)*j)**(-1\/26))**(-33))**(12\/5))**28 assuming j is positive.\nAnswer: j**(60984\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z + 4. List the prime factors of c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237\/((-90)\/(55 + -85)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -1504.8068.\nAnswer: -1501.8068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + u. Suppose -10*f = -37*f - 62613. What is the remainder when f\/(-21) - (-1)\/(7\/(-3)) is divided by t(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 28015?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 458*l**2 - 488*l + 29. What is j(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(12\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1340051 or -1340052?\nAnswer: -1340051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, b: 7}. Give prob of picking 2 v.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let o(q) = -5*q**2 + 8*q. Determine g(o(w)).\nAnswer: 5*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 141255 divided by -28251\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-551 - 179 + 231)*(-v**2 - v**2 - 3*v + 2*v).\nAnswer: 998*v**2 + 499*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 59*g - 2 + 58*g)*(-24 - 17 - 48).\nAnswer: 89*g + 445","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309\/2 - -6415\/42. Calculate the common denominator of o and 89\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 9*i + 3*i - 19*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4534398?\nAnswer: 2, 3, 11, 22901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 393698629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-539)\/(-770)*10\/(-14)*((-8)\/50)\/1\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6129 and 18.\nAnswer: 12258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6783, -6800, -6827, -6864, -6911?\n\"Answer: -5*g**2 - 2*g - 6776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 28. Let u be 23\/7 + (-12)\/42. Suppose 0 = u*y - 1 - 53. Calculate the greatest common factor of w and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31832371 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 5*m**2 + 3*m + 20. Let f be a(-5). Let w be 34 + -1 + -1 + 3. What is the highest common divisor of f and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 24*o**2 - 30*o + 45. What is the units digit of x(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 + 1\/3*g**3 - 2\/3*g**4 + 2*g + 1\/20*g**5 - 6*g**2. What are the prime factors of z(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*p - 295*p = -32. Suppose 0*d = -p*d + 8. Let z(w) = w**2 - 2*w + 2. Let r be z(2). Solve d = -4*j - r*u + 4, 5*u = -3*j + 19 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226504533 to the power of 1\/3, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/50 - (-44)\/110?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8*u - 55. Let r be (-146)\/6*(8 + u). Suppose -5*p + 10*p + i = -r, 3*p - 3*i = -51. Which is smaller: -14 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53143143 (base 7) to base 9.\nAnswer: -8415310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -386*h + 9. Let v be (5\/(-10))\/(2\/(15 - 3)). Is a(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34513 + -1932799\/56. Calculate the common denominator of -61\/28 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17393 + -17386. Solve 684 = t*r + 712 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(2\/5))**(-18))**(8\/3))**(-2\/133))**(-4\/25) assuming n is positive.\nAnswer: n**(-384\/2375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7524732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 - 164. Suppose 4*g + m*a - 36 = 0, 2*a - 1 - 44 = -5*g. Is g at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 176247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*g - 151. Let f be g*5*(-4)\/30. Suppose 5*b - 248 = -2*d, -6*b + 2*b + 2*d + 184 = 0. What is the greatest common factor of b and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*n*p**2 - 10*n*p + 614*n - 2*p**4 - 1 with respect to p.\nAnswer: -36*n*p - 10*n - 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221012001 - 2222?\nAnswer: -221022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/9*o**2 - 268*o + 688\/9.\nAnswer: 2*(o - 172)*(7*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-1 - -2) - (-119 + 59) - 1) + 1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -896.3 + 881.086. Round k to one dp.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*f + 8 = 0, -5*g + 4*f = 9*f - 5. Solve -a + g = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 129*l + 1401. Determine r(74).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 37, 3, 16 in decreasing order.\nAnswer: 37, 16, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -16967, 19 in decreasing order.\nAnswer: 19, -7, -16967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(10\/9)*(u\/(u*u\/(u**(2\/3)*u)))**26)**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - v + 0*v + 2302 = 0, 2*k = v - 922. What is k rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 4*v - 4. Let b be p(-6). Let i = 16 + b. Let o(k) = -k - 5. What is o(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 13*r = -3744. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 - 7*d + 5. Let q(y) = -y**3 - 45*y**2 - 85*y + 37. Let f be q(-43). Let l(x) = 3*x**2 - 6*x + 4. Determine f*l(r) + 5*h(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5764915991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {z: 3, c: 6, j: 2, u: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d\/(d**(2\/5)\/d)))\/d))\/(d**(-7\/3)*d))**(-2\/7)*((d\/(d*d**(-1)))\/(d*d**6*d))\/(d**(-6)\/d*d\/(d*d*(d**(2\/17)\/d)\/d*d)*d) assuming d is positive.\nAnswer: d**(-3581\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {r: 15, p: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o + 24. Which is greater: o or -13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347199\/107 not equal to 3244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 207468803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267697?\nAnswer: 23, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {r: 1, w: 2, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 18. What is the least common multiple of 1\/2 - z\/2 and (18\/(-15))\/(2\/(-5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68786 and 0.2549.\nAnswer: -17533.5514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04501 or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/15 - 1\/5. Let v be 2 - ((q - 3) + 2). Suppose 5*a = -5*j + 40, 2*a - 22 = -3*a + j. Solve 0 = -a*s - 0 - v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -568.4896 to the nearest integer.\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {z: 8, i: 4, t: 3, o: 3, s: 1}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 7*m + 5. Let u be l(-7). Suppose -3*v + 37 = -u. Let j = 53 - v. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*r**3*x + 31*c**3*x + 2*c**2*r**2*x - 45*c*r**3 + 3*r**3*x wrt c.\nAnswer: -12*r**3*x + 186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 589926 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160665864 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - z + 5*z = -79, -5*z - 75 = -5*a. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + -6 - (-23 - -25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {z: 5, n: 3, w: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.66 + -0.56. Let z be 8\/(-3) + (-4)\/(-6). Let q be (1 - 1) + z*1. Sort q, -0.3, c.\nAnswer: q, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 7:28 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14112 greater than or equal to 14112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-52))\/((-3)\/((-3)\/(((-9)\/(-6))\/3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(25*f + 61*f + 73*f).\nAnswer: -159*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 3 = 3*z. Let b be 2\/(2\/(-1)) - z. Let g = -360 - -365. Solve -g*r = -2*r - b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000987 rounded to 6 decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 21779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -3 (c) 5\/11 (d) -1 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by 298\nAnswer: 91\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -231812\nAnswer: -3\/231812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*d*g**2*n + 635*d*g - 2*g**2 wrt n.\nAnswer: 88*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -0.3, -0.07 in descending order.\nAnswer: 3\/2, -0.07, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4114505 = 42*b + 945899. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16470000 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2 + 2*o + 5\/4*o**4 + 9\/2*o**2 + 4*o**3. Determine h so that s(h) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7060\/17? (a) 3\/569 (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*(-5)\/(-20)*(-3 - (-1 + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(66\/(-9)*(-12)\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*w - 372*w - 263*w - 108*w = 12364 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1)**(-1\/20)\/(p**(-6)*p\/((p**(-5)*p)\/p))*(((p*p*p**(-1))\/p)\/(p\/((p*p**1\/p)\/p*p)*p))**4 assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 142, 193, 260, 349, 466, 617?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**28\/((k*k**(-1\/3))\/k))\/(k*k*k\/(k*k**1*k)*k*k)**(-38) assuming k is positive.\nAnswer: k**(313\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*i**2 + 2*i**2 - 3*i**3 + 0*i**3 + 5*i**3 - 3*i**3 + (0 + 0 + 2*i**3)*(4 + 3 - 2) - 3*i**2 + 2*i**3 + 3*i**2.\nAnswer: 11*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-6)\/9)\/(-2)). Let f be (-10)\/m*12\/8. Solve 4*n - 25 = 5*c, f*c - 20 = -5*n - 0*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101.5? (a) -2 (b) 2 (c) -0.3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 3414.4174946?\nAnswer: 3414.0174946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -26. What is the lowest common multiple of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + -4 + 6 + 1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -765*g**2. Let w(r) = -2*r - 4. Give w(i(j)).\nAnswer: 1530*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 46 - 28 + 4*o**3 - 24 + o**2 + 6*o - 4*o**2. Let s be m(4). Let x = -126 + s. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70074 and 1224.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/12 - l**3\/6 + 2*l**2. Give o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 58 - (-1050 + 953)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 634940?\nAnswer: 3\/634940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/190 and -117\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -108 and -329.9.\nAnswer: 35629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134280 (base 10) to base 11.\nAnswer: 705224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 9*q**2 - 3*q - 10. Give d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + 20 = -5*v, 4*t - 17 = 3*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320492609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/5 - 174*d**4\/5 - 724*d**3\/5 + 2136*d**2\/5 = 0. What is d?\nAnswer: -6, 0, 2, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.2. Suppose -4 - 14 = y. Let o = -16 - y. Which is the third smallest value? (a) j (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 10 = 202 + 48. Let u = 4 + 26. What is the greatest common factor of u and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 6*sqrt(1216))**2 - (-4*(sqrt(133)*1 - sqrt(133)))\/(-2*sqrt(175)).\nAnswer: -192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1019240 and 328016.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -37.9. Let f = -15838.004 - -15875. Let v = q + f. Round v to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f**(-2\/35)\/f)*f**(-10)*(f**(-3\/5)*f)\/(f\/(f*f\/(f**8\/f))) assuming f is positive.\nAnswer: f**(-439\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y**2 - 40*y**2 - 62*y**2 + 3*y**2 in the form j*y + z*y**2 + o and give z.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/((-10)\/240). Let b = 11 - w. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 465304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-821)\/(-5)*(-5 + 4). Let m = 165 + s. Let b = 13066 + -78397\/6. What is the closest to 2\/7 in 11, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 0.7. Let d = 3.1 + v. Let u = -2.5746 + d. Round u to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159179 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/(-126) - 2\/21. What is the closest to o in -12, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + 2*t + (-t + 0 + 0)*(1 + 2 - 4) + 3 + 1 + 110*t - 105*t + (4*t - 5*t + 0*t)*(4 - 2 - 1) + 1 - 1 + 3*t.\nAnswer: 10*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + 3*q + 0*q + q - q + 2*q - 2*q + 1 - 1 + (3*q + 2*q - 3*q)*(-4 + 2 + 0) + 0 - 2*q + 0 + 0 + 0 + q + (-17 - 24 + 4)*(0*q + q + q).\nAnswer: -81*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (72 - 216 + 90)*(-18*k**4 + 9*k**4 + 7*k**2 + 12*k**4) as i*k**4 + q + j*k**3 + g*k + s*k**2 and give s.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:57 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - 4 + 3*s**2 + 3 + 6*s**3 as l + y*s**3 + p*s**2 + c*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 314 and -3?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.045 * -0.02116\nAnswer: 0.0221122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:24 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4\/((-16)\/4) + 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnneennnnennjnjnn. What is prob of picking 1 e and 1 j?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - (-700)\/42. Suppose n = f + 7*f. Solve 0 = f*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 5. What is the units digit of (-24)\/2*(-2)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 148. Let g(t) = f*t**2 - 97*t**2 + 42*t**2. Let d(v) = -126*v. Determine g(d(m)).\nAnswer: -31752*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26151141 divided by -5?\nAnswer: -26151141\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30127198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5501 or 1?\nAnswer: -5501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/30*(1 - 27\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5052 is divided by 459.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 15) to base 13\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 16 - -5 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8557 and 2189.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + 8 + -12 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**3*t)\/(t*t**3\/t)*(t\/((t*t**1*t)\/t))**(6\/13))**(-4\/9))**50 assuming t is positive.\nAnswer: t**(-4000\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, z: 7, k: 1, l: 3}. What is prob of picking 2 z?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1225 + 1230. Let f(t) be the third derivative of -3\/10*t**6 + 0 - 11*t**2 + 7\/5*t**n + 8\/3*t**3 + 0*t - 8\/3*t**4. Factor f(u).\nAnswer: -4*(u - 1)*(3*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36099541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 108576?\nAnswer: 1194336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11552980 and 2?\nAnswer: -23105960","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 24*w**2 + 21*w - 50. Let s be c(-23). Let r(o) = -o**3 - 5*o**2 - 11*o - 8. Is 2 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68)\/(-6)*1*-56. Let f = l + 640. What is the common denominator of 70\/3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*q - 6*q + 42, n + 2*q - 13 = 0. Calculate the least common multiple of n and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 950, -5, 10, -0.3, -1\/12, 0.3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17724 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y + 7. Let q(z) = 5*z - 7. Let c(f) = -3*q(f) - 2*s(f). Let g be c(-6). Let w = g - 16. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 189, 187, 185, 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 + -5.9. Round o to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*p**6 - 246*p**4 + 3*p**3 + 191019*p**2 + 2*p - 1.\nAnswer: -14520*p**3 - 5904*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktgkswew. Give prob of sequence gwsw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 - 2)*(9690*v - 2795*v - 2944*v + 4724*v) to f + d*v and give d.\nAnswer: 26025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14674106177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 108*k + 4. Let v be p(-36). Suppose -j - 1691 = -v*w, -w + 13*j = 11*j - 421. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-56)*(66248\/(-336))\/169?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-25) + (-222)\/630)*(-63)\/14?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - z**2 + 1 + (-z**2 + 0*z**2 - z**2)*(-1 - 1 + 0) + (5*z**2 - 4*z**2 + 0*z**2)*(332 - 121 - 151).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -12. Suppose -2*p - 5*j - 8 = 2*p, -5*j = 5*p + 10. Let k = p - n. What is the greatest common factor of 35 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -1 + 6*55\/(-10). Suppose -5*z + 279 = -16. Calculate the remainder when z is divided by 2\/(-4) - n\/20 - -30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, 0.28, -3, -3\/22, 4 in increasing order.\nAnswer: -3, -3\/22, 1\/13, 0.28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/33 (c) 4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 151 = -583. What is the remainder when q is divided by (-1161)\/(-172) + 2\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -12. Suppose 3*u - 806 = -4*p, 5*p + 11*u - 1008 = f*u. Calculate the greatest common divisor of p and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 5*q - 1. Determine y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5 + 5. Let w(n) = -n**3 + 12*n**2 - n - 5. Is w(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 159180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2853 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -104 - -127 - (3 - 2)\/(-1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let d(c) be the third derivative of 17*c**6\/72 + 137*c**3\/6 + 9*c**2 - 5*c. Let k(h) be the first derivative of d(h). Give o(k(l)).\nAnswer: -7225*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1004965627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -15, -1, 31, 87, 173, 295, 459?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -26 - 6. Suppose -r + 8 = 3*r. Suppose -2 = x - r*x, -578 = -4*v - x. Calculate the highest common factor of v and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -104. Suppose 0 = 2*y + 3*y - 40. Put -3, c, y in descending order.\nAnswer: y, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144432449*g*r**6 - 537*g*r**2 - 30*g - r**2 - 222*r wrt r?\nAnswer: -17331893880*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -79, -82, -95, -124, -175?\n\"Answer: -g**3 + 4*g**2 - 4*g - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 3, -19, -61, -129, -229?\n\"Answer: -f**3 - f**2 + 2*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/3 (b) 91 (c) -27 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61818732 and 11016.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.04 - -3. Let f = 4004 - 4005. What is the second smallest value in f, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110104 (base 7) in base 13?\nAnswer: -236801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2 - 88\/(-42). Suppose -6*g - 3 = -4*t - 3*g, 1 = 2*t - g. Which is the second smallest value? (a) t (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s + 179 = -10 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -161*d - 2 - 2 + 5 + 166*d. Let r be s(15). Suppose -22 - 174 - r*w**2 + 72*w**2 + 56*w = 0. What is w?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-9)\/(-2844)). Let y = l - -232. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 1. Let z = -5.1 - s. What is the smallest value in 0.2, z, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 12741.\nAnswer: 25482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/2 - 4*b**4 + 9*b**3\/2 + 9*b**2 = 0.\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/5 + 27377982*l\/5 - 187388474598081\/5 = 0. What is l?\nAnswer: 13688991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 + 7*u**2 - 134*u + 272. Let x be v(2). Solve 5*p + 3*h + 22 = 9*p, x = 2*p + 4*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - 9)*-4*6\/(-16). Let p(g) = -2*g - 13. Let c be p(-7). Let b be (-228)\/(-48) - c\/(-4). Solve 0 = b*u + j*s - 34, 2*u - 3*u = -3*s + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - f + 11 = 2, 5*t - 40 = -4*f. Put t, -0.3, -0.7 in decreasing order.\nAnswer: t, -0.3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/167 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 1.9. Which is the nearest to -2\/5? (a) 1\/5 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*o = -68, -9*o + 40 = -5*x - 4*o. Suppose 112\/3*g**3 + 768 + 4\/3*g**x + 976\/3*g**2 + 896*g = 0. Calculate g.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 + m - 7. Let y be u(3). Let t be -7*(y\/8 + 1*-3). Let z = t - -34. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526 + -526.3. Which is the nearest to 0? (a) -0.03 (b) s (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2171 and 233299?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 + 152. What is the remainder when 94 is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6363 - 0?\nAnswer: -6363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2586 + -2564. Suppose -r + 14 = x, 10 = -3*x + 2*r + 72. Let l = s - x. Solve -2*d - l = -c, -2*d + 5*c - 10 = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 583 + -569. What is the greatest common factor of j and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8316 + 170826840.76?\nAnswer: 170835156.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c5c5c (base 14) in base 12?\nAnswer: -40b44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (sqrt(700)*1*5)**2 + 1 + -4.\nAnswer: 17499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -6, 2\/3, 11.\nAnswer: -6, -2, -0.1, 2\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 4 (c) -3 (d) 2\/13 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i**5 - 620*i**4 - 126720*i**3 - 4006800*i**2 - 25974000*i + 272160000 = 0. What is i?\nAnswer: -30, 16\/3, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 + -0.37. What is the second smallest value in 0.11, 2, d?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.5 in 40, -5\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 956455962 to the power of 1\/3, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = i - 5*i, -3*h + 10 = -2*i. Let m be -2*-3*i\/(-3). Suppose -m*q = -9*q + 15. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 8*n**2 - 6. What is w(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4589 + -4589.105. Let g = 581 - 580.8655. Let u = a + g. Round u to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -488, -1094, -1942, -3032, -4364?\nAnswer: -5938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s + 15 = 0. Suppose 0*t = -4*t - 8. Let v(p) = -2*p - 2. Let l be v(t). Put s, -4, l in decreasing order.\nAnswer: s, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, i: 4, g: 1}. What is prob of sequence ii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + 7*s)*(4*s - 2*s + 5*s)*(0 - 2 + 4)*(-76 + 76 + 30*s**2).\nAnswer: 2940*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19856745 divided by -22437.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 (base 16) in base 2?\nAnswer: -10000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.15 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(110) + 4*-1*sqrt(110))\/(sqrt(810)*1 + sqrt(40)\/sqrt(4)*2))**2.\nAnswer: 196\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*m**5)*(-4 + 2 + 1 + ((1 + 0 + 0)*(-2 - 1 + 1) - 3 - 2 + 2)*(3 - 2 - 2)).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 696*d**2. Let l(u) = 2*u. Calculate l(s(c)).\nAnswer: 1392*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 332*x + 11. Let s(v) = 995*v + 39. What is -7*c(t) + 2*s(t)?\nAnswer: -334*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -487.\nAnswer: -487, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*t = -i + 502, -3*i - 3*t = -399. Let m be (-1)\/2*-4*3. Suppose -i = -m*r + 124. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 8*f - 1. Let g be 1\/(2\/14*1). Suppose d + 0 = -g. Calculate the lowest common multiple of 2 and z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t - 30. Let h be n(-2). Suppose 5*i = 6*i - h*p + 5, 0 = -3*i + 4*p - 7. What is the fourth smallest value in -0.2, i, 0.3, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3726 and 1426?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18001*p*y + 2*p + 2774*y - 24 with respect to p.\nAnswer: -18001*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/4428512 and -63\/4376.\nAnswer: 4428512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a kilogram in grams?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*p + 6 = 0, 11*p - 10*p = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-31.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3817332 to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {q: 2, f: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v\/(v**0\/v))\/v))\/v)\/v)\/v)**(-38)*v**10*v**(2\/15) assuming v is positive.\nAnswer: v**(1862\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -0.02\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 3, -1 in decreasing order.\nAnswer: 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 406 = 4*z, 13*z - 402 = 9*z - 5*t. Suppose -z = -14*m - 19. Calculate the greatest common divisor of m and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 353, 763, 1315, 1997, 2797, 3703, 4703?\nAnswer: 5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 12*b + 31*b)*(11 - 1 - 1)*(4 + 3 - 5)*(0 - 3 + 1)*(-3 + 3 + 2).\nAnswer: -1656*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1106.566 + -2.434. Let p = -1108.9999531 - h. Round p to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -353875, -353840, -353805, -353770, -353735, -353700?\n\"Answer: 35*o - 353910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.25, 4, -3 in decreasing order.\nAnswer: 4, 1.25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 609323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + 24*b**2 + 6*b - 4. What are the prime factors of u(-7)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/4446 and -82\/117?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*p + 3896, 4*f - 23*p = -19*p + 5192. Is f a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 36\/13?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/20 - 29*t**4\/12 + t**3\/2 - 9*t**2\/2 + 7*t - 48. Let s(i) = 7*i**2 - i + 2. Determine -2*a(m) - 9*s(m).\nAnswer: 2*m**3 - 5*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3 + 6 - 2 + 1 + 3 - 2 + 0 + (-3 + 1 + 3)*(5 - 2 - 2) + 5 - 4 - 2 - 5 + 12 - 24)*(215*y - 16*y**2 - 2*y**3 - 107*y - 109*y - 2).\nAnswer: 20*y**3 + 160*y**2 + 10*y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -17764?\nAnswer: -17760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 15. Let y be i(-9). Suppose -y*j - 4*r + 258 = -233, -j + 162 = r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12)*-1))**2 + (sqrt(204) + sqrt(204)*-1)\/sqrt(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10383 - 10523220.\nAnswer: -10523220.10383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.729 rounded to one dp?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 8. List the prime factors of o(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - ((-3 - 5) + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/6 + 7\/4)*-4. Let s(n) = n**3 + 2*n**2 - 4*n. Let v be s(c). What is the first derivative of -7 - t**3 + 2*t**v + 14 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -h - 4, 38*a = 39*a + 5*h + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 2*q - 5*q + (-q - 3*q + 6*q)*(2 - 2 - 1) + (-4 - 1 - 1)*(-2*q + 0*q + q) to g*q + i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.76336 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 546997.5 years?\nAnswer: 5469.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 27 = -s + 2*s, p = -4*s - 99. Is (-107)\/(-5) + 10\/s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxe when three letters picked without replacement from {q: 5, e: 4, x: 5}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) 5 (c) 1\/12 (d) 8 (e) 1\/33 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = -o - 687, -2*d = -4*o - 468. What is the least common multiple of (1936\/(-44))\/(3 + (-7 - -2)) and d?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 96 = 7*v. Suppose v*u - 9*u = -12. Let x(k) = 5*k**2 - 6. What are the prime factors of x(u)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 101, 0.5, 0, 9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.908772 times 22?\nAnswer: -63.992984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7526896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -27 - (0 + -15) - (308 - 241)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3454620 to the nearest integer?\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1, -3215, -1\/111, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1565002 (base 7) to base 9\nAnswer: -361687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-35)*z\/(z\/((z\/((z**11\/z*z*z)\/z))\/z))*z**(-11)*z\/(z*z**(-1)*z) assuming z is positive.\nAnswer: z**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -3*w**4\/4 - 11*w**3\/3 + 2*w**2 + 175. Suppose r(j) = 0. What is j?\nAnswer: -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6) + 95\/60. Let o(g) be the first derivative of -2\/7*g - 16\/21*g**3 + 11\/14*g**2 + 5 + s*g**4. Find i, given that o(i) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v - 7. Suppose 226*n - 648 - 693 = 1145. Let d(o) = 2*o - 4. Give n*d(x) - 6*y(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 33*s**2 + 27*s + 93. Calculate o(32).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, x: 5}. What is prob of picking 1 x and 1 z?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j = 28126677 + 8347461. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6917257 + 6917468.00334. Let r = b + -211. Round r to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 - 21171*b**4 - 54078690*b**3 - 58164725346*b**2 - 21369029235099*b + 21427248060309 = 0 for b.\nAnswer: -2093, -779, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/3 - 1\/(-3). Suppose -169 = -4*t - 3*j, -j - 161 = -f*t + 36. Let z = 28 + -12. Solve 3*i - u = z, 5*i - 4*u - t = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1195*r = 1210*r + 150 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666 divided by 222.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {z: 4, q: 4, n: 6, e: 5}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1565871\/341 - -4592. Is s > -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x, 102*k - x - 1654 = 99*k. Calculate the lowest common multiple of k\/4 - (-7 + (-377)\/(-52)) and 9.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*t = -204*t - 15*t - 156 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {v: 2, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-42)*189\/(-45).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = z, 3*z - 3*d + 5*d - 8 = 0. Suppose 0 = 5*g - 4*o - 32, -g + 3*o + 17 = g. Let a = 5 - g. Solve 3*n - 3 = -4*k, -a - 28 = -z*n + 3*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let x = -76 - -115. Suppose -x = -5*s - 14. Put 0, s, h in increasing order.\nAnswer: 0, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:02 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 532201662?\nAnswer: -532202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:38 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4439217 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24361432, 24361435, 24361440, 24361447?\n\"Answer: i**2 + 24361431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18487.652 - 18494.6520052. Let m = j + 7. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 132141?\nAnswer: 132143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152104*f - 304218*f + 152114*f - 11*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0, 4, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s - 9222. Let g(c) = -c - 1844. Calculate 4*b(y) - 22*g(y).\nAnswer: 2*y + 3680","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20493400?\nAnswer: 2, 5, 19, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 2*x - 5*g, -102*x + 105*x + 16 = g + 67 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 198023*l**2 - 11*l + 38. Let u be r(-9). Round u to the nearest 100000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 != -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (-48 - -43) - (33 - 11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 29*p. Let t(n) = -n. Give y(t(l)).\nAnswer: -2*l**2 + 29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 680 = -2*m, q + 3*m = 336. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - -23 - 10\/2. Solve 4*v + 2*l + i = 0, 4*v = -2*l - l - 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 2*f + 7. Let t(c) = -4*c**2 - 9*c - 28. Let i(o) = -9*n(o) - 2*t(o). Let a(w) be the first derivative of i(w). Let j(b) = 29*b. Give a(j(s)).\nAnswer: -58*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 16. What is the remainder when 51 is divided by p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -39, -72, -105?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/21*(-182)\/156?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 3403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 48*o - 4470. Determine f(93).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1026078 and 1044?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(567) + 0 + (sqrt(567) + (sqrt(567)*1)**2 + sqrt(567))*-5.\nAnswer: -2835 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (4\/(-7 + 3) - 0). What is the second derivative of 11*h**2 - g*h**4 + 2*h + 15 - 29 + 12 wrt h?\nAnswer: -24*h**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*t**2 - 6*t**5 - 21*t**2 + (1 + t**2 - 5 - 4)*(0*t**2 + 0*t**2 - t**3).\nAnswer: -7*t**5 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 10281*m - 10285*m + 5*d, -8*m + 127 = -5*d for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -3, -9, -19?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -r + 4*a, r + 2*a = 15. Solve -10*k + 1 = -r*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1ea (base 16) to base 10\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 6 - 4*g**2 + 12*g**2 - 5*g**2. Let t be a(-2). Solve 0 = k + 2*v - 7, -5*k = -v + 2*v - t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4802 + 1046 = -3*b, 5*b = -f + 1232. Calculate the remainder when f is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166\/33 - 48\/11. Which is the third biggest value? (a) 2 (b) t (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.8043?\nAnswer: -0.16086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4 + 4*sqrt(208) + 3)*-1)**2.\nAnswer: 224*sqrt(13) + 3381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119670, 956602, 3228276, 7652064, 14945338, 25825470?\n\"Answer: 119562*r**3 - r**2 + r + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -226. Suppose 5*l + r = 5*g, 10*g + 64 = 14*g - 2*l. Let z(u) = u**3 - 17*u**2 + 15*u + 22. Give z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b8aae8 + 1?\nAnswer: b8aae9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 3*a + a + 6*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkryeeyr. What is prob of sequence eyek?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*j**2\/2 - 184156731*j\/2 + 55247022 = 0. What is j?\nAnswer: -12277116, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6004 + -5976. Solve -40 = -k*s + 48*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106371 divided by -2007.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/80)\/((-236)\/944)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -335.6996031 + 335.7. Round g to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6578 (base 10) to base 14.\nAnswer: -257c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 1, u: 2, w: 1, r: 1, i: 1}. Give prob of picking 1 w, 1 i, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1334264344 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2212490292 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:29 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 9, 1 in descending order.\nAnswer: 32, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.93 - 0.07. Let v = o - -41.9. Let l = 1.2 + v. Put l, -0.2, 1 in decreasing order.\nAnswer: l, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7637.9644 - 13.9356. Let d = 8050 + w. What is d rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 30, -106, -244, -384, -526, -670?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -503 + 500. Suppose 9*d = -0*d. Sort -2\/3, 40, q, d.\nAnswer: q, -2\/3, d, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5643 divided by -5643?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128.07 + -133.8. Let q = v + 5.43. Which is the nearest to 3\/5? (a) q (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127617503*g**3 - 255235003*g**3 + 127617497*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -19. Suppose p = -2*m - 3*j + 13, -2*m - 5*j - 4 = -23. Suppose -2*s = 2*f - 90, -132 = -4*f + f - m*s. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54129600 divided by 10825920.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3288 + -3270. Calculate the lowest common multiple of 1416 and x.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u**3 + 151*u**2 - 26*u + 2041?\nAnswer: 3*u**2 + 302*u - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/7, -5, -856, 2\/7, -1 in decreasing order.\nAnswer: 5\/7, 2\/7, -1, -4, -5, -856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (4 - 6) + 2*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 147*b**5\/10 + b**4\/6 - b**3\/6 - 23*b**2. Is x(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/20519338 and 23\/290202066.\nAnswer: 2031414462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*j + 25 + 61 - 46 - 28*j wrt j?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - w - 9 = 2*w, 2*n + 3 = -w. Suppose n = -h - 3*h + 112000. Round h to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/22 + (-4408)\/(-6688).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35 + 5.25. Let d = k - 5.571. Let r = 4.029 - d. What is the second smallest value in r, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116583 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/1 + 135\/5 is divided by ((-2)\/(-3))\/(10\/225).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 - 24*w**2 - 25*w + 162. Give q(6).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/60 - i**4\/36 + i**3\/9 + 36*i. Factor c(l).\nAnswer: -l*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 1101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/5 of a litre in millilitres?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 1\/6, -2\/15, -1.7, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*c + 2*a, 3*c = a - 4*a + 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*f + 40 = 0, -3*c + c + 5*f = -49. Solve 0 = 4*u - 3*z - z + c, 3*u + z = -17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1019.0001253 + -1019. What is v rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -34054 (b) 45 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) - (-3*(sqrt(325) - sqrt(325)*-2))**2.\nAnswer: -26325 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 7 (b) 1 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-10))\/(1*(-9)\/((-621)\/23)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2581068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53301481 to three decimal places.\nAnswer: -0.533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1247 divide 458582576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2211\/(-22)*(-10)\/(-3). Let j = -186 - p. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 39) + 1 + -2. Let l(k) = -k**3 + 6*k**2 - 31*k + 183. Let f be l(6). What are the prime factors of 2*(f - x\/2) - 2?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 - 6*y**2 + 74 + 4*y**2.\nAnswer: 6*y**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291 + -151. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 25. Let t be o(-10). Factor -3*i**5 - 144*i**3 + i**5 - 500*i**2 - t*i**4 + 692*i**2 - i**5.\nAnswer: -3*i**2*(i - 1)*(i + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*d - 9. Suppose -d*s + 4*p = -s - 24, -4*p + 8 = 0. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -8. Let q = b - 2. Suppose s = q*g - 93, -s = 5*g + 2*s - 95. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13348125*s**4 + 7*s**2 + 23518163.\nAnswer: 320355000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*v - 22 - 3, -3 = v. Suppose -q - 4*m + 1488 - 177 = 0, -o*q + 5139 = -5*m. What are the prime factors of q?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 6*f - 5. Let l = 74 - 49. Let b = l - 18. Let d(m) = -3*m**2 + 7*m - 6. Let i(a) = b*r(a) - 6*d(a). Differentiate i(p) wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + 7*w**2 + 10*w + 4. Let t(x) = 10*x**3 + 21*x**2 + 31*x + 12. Let i(c) = 2*t(c) - 7*u(c). Let g = -5 - 1. Does 3 divide i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 210. Suppose n = -5*u - 126 - 206, -2*n + 62 = -u. Let h = b + u. Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2*f**2 + 0 - 4 + 1020*f**3.\nAnswer: 1020*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -78, -61, -54, -63, -94?\n\"Answer: -r**3 + r**2 + 21*r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616 divided by 4.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 241 = 5*o + 10*v, -3*o - 147 = 3*v. Let g be (1 - -9)*(57 + o). What is the greatest common divisor of g and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1130 + 275?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/5*(-3)\/(-12)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 3*i + 2. Let u be k(3). Suppose u*a + 0*a - 4 = 0. Let z = a - -2. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35 - 75?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**4 + 5*p**4 + 31*p**4 + (0 - 2 + 4)*(2*p**4 - p**4 - 2*p**4) in the form h*p**4 + z + a*p + u*p**3 + w*p**2 and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(2 - (-10)\/6). Suppose 2*j + 5*x = 33, j + 1 = 5*x - 20. Suppose i + 2 = j*d. What is the smallest common multiple of d and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 2*o + 0*o**6 + 1\/28*o**8 + 0*o**5 + 0*o**3 + 0*o**7 + 1\/6*o**4 + 0 + 0*o**2. Find the third derivative of u(n) wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*t - 17, 5*t + 19 = -48*x + 24*x + 21*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212112 - -1112002100?\nAnswer: 1111012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693846414.\nAnswer: 2, 3, 79, 409, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/13 + 242*u**2\/13 - 4800*u\/13.\nAnswer: -2*u*(u - 96)*(u - 25)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-43 - -64 - (24 - 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/392*(-72)\/(-45).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 65*o + 3. Let z(j) = -64*j - 4. Let x(b) = -5*g(b) - 4*z(b). Suppose -5*f - w = -1 - 1, w = -3. Let k be x(f). What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 13. Let n(l) = -l**2 + 4*l - 1. Let t be n(c). What is the third derivative of -d**3 - 3*d**t + 6*d**3 + 3*d**2 - d**2 wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8230.4 - -8230. Which is the nearest to -2\/21? (a) -2\/451 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whwlwhwl. Give prob of picking 4 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1354?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.138189745 and 1854?\nAnswer: 1854.138189745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36054032 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1241838 and 366444?\nAnswer: 22353084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**5 + g**4 - g**2 - 1. Let c(b) = 6*b**5 - 6*b**4 - 2*b**3 + 6*b**2 + 4. Let s(r) = c(r) + 4*h(r). Factor s(j).\nAnswer: 2*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 15*z**4\/2 - 29*z**3\/3 + 5277*z**2\/2 + 698*z. Differentiate q(m) with respect to m.\nAnswer: 180*m - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.74 - 2.313.\nAnswer: -57.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 4:24 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l - 85. Let x be w(-7). Let p(u) = -u + 56. Let j be p(x). Solve -r + j = -5*g + 4*r, 35 = -2*g + 5*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*x**3 + 9*x**3 + 4*x**3 + (0*x - 2*x + 4*x)*(x**2 - 5*x**2 + 2*x**2) + 2*x**3 + 0*x**3 - x**3 as f*x**2 + p*x + y + d*x**3 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 7 + 26 = -3*w - z, -z = -4*w - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/4 - (-2)\/8. Suppose -k*s + 156 = -s. Suppose -3*l - s = -2*u, -l - l = -u + 21. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 7:17 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)*s)**25\/(s\/(s**(-1\/3)*s))**(-17))**(-31\/3) assuming s is positive.\nAnswer: s**(-24614\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 9. Let m be (-1)\/5 - (-1)\/5. Give z(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, 296, -2\/5, 2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**3 + 212*l + 125*l**2 + 23*l**3 - 208*l as o*l**3 + v + a*l**2 + u*l and give a.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxm when three letters picked without replacement from {p: 1, m: 9, x: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 3*t - 24, -4*t - 8 = -4*s. Suppose 3*h = t*a - 18, -49 = 4*h - 5*a - 20. Let x(v) = 24*v**2 + v. Is x(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1173*k - 5829. Calculate the remainder when u(-5) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:56 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*a**2 + 27*a**3 - 8*a**2 - 51*a**3 wrt a?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6*(3 - ((-28)\/(-6) + 3)). Solve -w*c + 4 = 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkd when three letters picked without replacement from {w: 4, k: 2, v: 4, d: 1, f: 6}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -4.2.\nAnswer: -100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34692 - -34644.042. Let a = 48 + v. What is a rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332100011 - 1122?\nAnswer: -3332101133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (11 - 0) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3155*a**3 - 3*a + 2*a + 3*a - 112 + 110 to the form k + u*a**3 + g*a**2 + h*a and give u.\nAnswer: 3155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 46*z - 71 = 47*z, m = -2*z + 11 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (22 - 39328\/(-96)) + 4\/(-6) is divided by 431.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -2 - (2 - 6). Let r be 14\/(-21)*(-3)\/l. Factor 1\/5 - 2\/5*m + 0*m**2 + r*m**3 - 1\/5*m**4.\nAnswer: -(m - 1)**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t + 1. Let z(j) = -5*j**2 - 42*j + 4. Give -4*o(g) + z(g).\nAnswer: -g**2 - 38*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - u + u + (-10 + 17 + 6)*(-2*u - 5*u + 3*u) - 4*u + 10*u - 4*u as p + y*u and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aaaa8120 + 5?\nAnswer: -aaaa8118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37449 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, d: 3}. Give prob of sequence bdb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.02, -4\/9, -1 in ascending order.\nAnswer: -1, -2\/3, -4\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 24*o**4 + 23 + (5 - 5 + 2*o)*(4*o**3 + 6*o**3 - 4*o**3) + 9*o**4 - 2*o**4 - 6*o**4 to the form j*o**4 + z + l*o + s*o**2 + u*o**3 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-4)*4438\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/(-162))\/(-2*(-2)\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3991.\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 + l - 1. Suppose 49*y - 11 = 38*y. Determine g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/2825 in -1373\/10, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*r + 5 = 0, -7*h = -9*h + 5*r - 2. Is h at least as big as -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 23632236.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3339, 6692, 10047, 13404?\nAnswer: 16763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269, -80\/7, 4.\nAnswer: -269, -80\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttattmatmatva. What is prob of sequence va?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5153 (base 8) to base 3.\nAnswer: -10122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 660 (c) 0.1 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/6*(-30)\/(-7). Calculate the greatest common divisor of 90 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.4. What is the closest to a in -0.4, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m + 493 = 229 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19694364 to the nearest integer?\nAnswer: 4438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16893 + -16893.3. Which is smaller: v or -219?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218278 + -218262 - ((-2)\/(-5) + 3608\/230)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1957*d**3 - 37*d?\nAnswer: 11742*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - -50) + 130 + -106?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3)\/(-3) + 1. Suppose -4*v - 39 + 215 = 4*a, g = v + 4*a - 38. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37259361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1507, -3011, -4515, -6019?\nAnswer: -7523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 3*x**2 + 3*x**2)*(-26*x + 12*x + 16*x) + ((1 - x - 1)*(-3 + 3 + 2*x) - 3*x**2 - 3 + 3 - x**2 + 5*x**2 - 2*x**2)*(2*x**3 - 3*x + 3*x).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 13*v**2 - 6*v + 3. Let o be h(-13). Suppose 1989*y - 1982*y - 126 = 0. What is the greatest common factor of y and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 7\/49*7 - (-1200)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 5*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473431*v + 1258 = -4*i - 473394*v, -102 = -3*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.07 + -50.93. Is 0.06 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -580*z**2 + 232*z + 464. Let g(i) = 3*i**2 - i - 2. Calculate -232*g(c) - k(c).\nAnswer: -116*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)*y**(-7\/6))\/(y\/(y\/(y*y\/(y*y**1*y))))**(19\/6) assuming y is positive.\nAnswer: y**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1459 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*f - 776, -100 - 85 = -f - 2*k. Let l = 939 - 2255\/3. Let s = l - f. Calculate the common denominator of -1\/8 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842170153 rounded to the nearest one hundred thousand?\nAnswer: 2842200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -343942*r + 545838?\nAnswer: -343942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4439 and 14743.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 488, -3 in decreasing order.\nAnswer: 488, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -1\/75*a**6 + 0 - 74*a + 0*a**2 - 4\/15*a**4 - 4\/15*a**3 - 1\/10*a**5. Factor m(u).\nAnswer: -2*u*(u + 1)*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400 (base 5) to base 6.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548419 != 1548362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((3 - 2) + -3)\/(-1). List the prime factors of u - (2 - 1886)\/6.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -122, -1, 0.1, -4?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from slmosszxmmozxxmmmxxo.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -866*a**2*y**4 + 1859126*a**2 + 784*a*y**3 wrt y.\nAnswer: -3464*a**2*y**3 + 2352*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w**2 + 66*w + 56. Let p be d(-1). Solve 18*c - 9*c = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 597 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w**2 - 2*w - 2. Let v(p) = -476*p**2 - 90*p - 95. Let y(q) = -715*q**2 - 135*q - 142. Let b(t) = -7*v(t) + 5*y(t). Determine 4*b(g) - 90*n(g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + 3.77. What is the second biggest value in -3, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = o, f + 3*o + 2 = -2. Find the third derivative of -16*d**f + 25*d**6 + 270*d**3 - 270*d**3 wrt d.\nAnswer: 3000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.016, -1\/2.\nAnswer: -1\/2, -0.3, 0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6))**(-3)*(j**(-36))**29 assuming j is positive.\nAnswer: j**(-2087\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -20?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7208*d**4 - 4333*d**2 wrt d.\nAnswer: 172992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 0.5, 12, -0.3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 134, -3, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_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: Let i be -3 + 1 + (-20)\/10. Is (-2 - 20\/i) + 5144 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 1. Let w(z) = -2*z + 3. Suppose 2*r - 37 = 3*g, 3*g + r + 0*r = -22. What is g*t(o) + 4*w(o)?\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16002164161 + 4?\nAnswer: -16002164154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (127\/(-8) - -10) + (-4 - -10). Let m = 29 - 28.6. What is the second smallest value in m, 1, u, 0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -872, -37, 3, 5 in increasing order.\nAnswer: -872, -37, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(847) + -2 + sqrt(847))**2 - sqrt(7)) + -3.\nAnswer: -267*sqrt(7) + 10173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2770898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u + 1. Let q(i) be the third derivative of i**4\/24 - 121*i**2. Give m(s) - 3*q(s).\nAnswer: 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223532 and 1349370.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-48))\/((-20)\/(-6) - 1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y**2. Let g = 65 + -57. Let f(x) = -g + 8 + 2*x. Determine v(f(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1999089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i - 4. Calculate the remainder when 44 is divided by (-2)\/3*138\/i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 + 4*t**2 + 4. Let b(w) = -w**2 - 1. Suppose 2*x - 5*g = 18, -x + 3 = -g - 0*g. Calculate x*h(r) - 4*b(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.479 (b) -0.12 (c) -3\/4 (d) 3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21*f + 1. Let k(u) = 22*u + 1. Calculate 2*k(b) - 3*n(b).\nAnswer: -19*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 507883213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2484 + -29867\/12. What is the common denominator of (127\/(-30))\/(4\/10) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Let j(x) = -417*x + 23. Let i(n) = 207*n - 10. Let h(d) = 9*i(d) + 4*j(d). What is y(h(t))?\nAnswer: 114075*t**2 + 2340*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 6*j - 8*j + (-2*j + j - j)*(-1 - 2 + 4))*(55 + 201 - 560) as r*j + h and give r.\nAnswer: 3344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**3 + 395*u**2\/2 + 310*u - 90.\nAnswer: 5*(u + 2)*(u + 18)*(4*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 51.8. What is r rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3154*n - 56783. What is i(18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 114*n + 920. Calculate y(-7).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1066 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91649064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -6) + 1 + (-30)\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5 - 15 + 11 - 2*o. Calculate a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896272864 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 70. Suppose 6*v + 3*f - a = 3*v, -v + 4*f + 20 = 0. Calculate the remainder when 34 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/12*1968\/(-2788).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 83\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 80773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/18)\/((-35)\/28)*3\/(-452).\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 - -88. Let u(i) = i**2 + i. Suppose -5*s + 26 + 49 = 0. Let g(t) be the second derivative of t**4\/2 + 5*t**3\/6 - 3*t. Give h*g(x) + s*u(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*65*280\/728?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875644353.\nAnswer: 3, 97293817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t + 53. Let x be l(-3). Factor -2*h**2 + 14*h**2 - x*h - 10*h**2.\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 - 8*i - 5. Let q(x) = -20*x**2 + 14*x + 9. Give 5*m(v) + 3*q(v).\nAnswer: -15*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x + 848 = a - 1643, 10*x - 7*x = 7*a - 4*a + 183 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -10, -4*j - 3*s + 61 = 2*s. Let n = j + 6. Calculate the highest common factor of n and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.4. Suppose -q - t - 7 = -4*q, -2*t + 26 = 4*q. What is the nearest to 0 in c, -2\/7, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -785225, -785270, -785315, -785360, -785405?\nAnswer: -785450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-6 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2091723*b - 3. Let r(a) = -2*a. Calculate z(r(k)).\nAnswer: -4183446*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7946517km in centimeters?\nAnswer: 79465.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + 42. Let v = j + -28. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cc4cd (base 14) in base 15?\nAnswer: 155ec4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-122)\/(-305) - (-99)\/15. Let k(h) = 3*h**3 - h**2 + 2*h - 1. Let r be k(1). Let q(a) = 3*a**2 - r*a**2 - 8*a + 3 - 1 + a**2. Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 10*k + 144. What is the units digit of 117\/k - 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b - 2*o + 15, -b - 4*o + 3 = 0. Suppose b*a - 2 = 13. What is the greatest common divisor of a and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -53. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y**2 + 506*y - 44. Let d be u(42). Solve -d = 33*g - 43*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**2 - 1\/3*k**3 - 166 + 4*k. Give r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, -49 in ascending order.\nAnswer: -49, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3719 and -52\/178085?\nAnswer: 662298115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25102 is divided by 965.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.025 - 0.125. Let t be 63\/14 + -2*1. Which is the smallest value? (a) x (b) t (c) 1\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3*w - 7. Suppose 4*b + 0*b + 4 = 4*j, -5*j = -4*b - 10. Let g = 1 - j. Is n(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - l**3 - l**3)*(-31*l + 68*l - 38*l) + (4*l**3 - l**3 - l**3)*(-4*l + 5*l - 3*l).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = t + 5, 7*r - 9*r + 4 = -3*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/9 (b) 1\/2 (c) -2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5 - 81*c**4 - 1026*c**3 + 1264*c**2 + 2208*c = 0.\nAnswer: -12, -1, 0, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279 and -318?\nAnswer: -88722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -10. Suppose z = 40 - a. Let g be (-38 + (-1280)\/(-34))\/(4\/(-34)). Calculate the greatest common factor of z and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11000000000?\nAnswer: -10111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19952*x + 7182 with respect to x.\nAnswer: 19952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10536*a*q**2 - 9388*a*q + 5*q**2 + 38*q - 87364 wrt a.\nAnswer: 10536*q**2 - 9388*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*c + 6, 0 = 6*c - 2*c. Suppose l*g = -2*n + 40, 0*n + 3*n - 4*g = 53. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61955.11 millilitres?\nAnswer: 61.95511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 11340015?\nAnswer: 124740165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.63 + -45. Let f = 5 - 4.93. Let p = k + f. What is the second biggest value in 2, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 minus 1472.91256?\nAnswer: -1308.91256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:32 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -20*a**3 - 3*a**2 - a. Let v be g(-2). What is the highest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 15*f**2 + 87*f + 315.\nAnswer: -3*(f - 5)*(f + 3)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {j: 1, e: 1, s: 6, b: 9}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + l - 6 = 1, 5*l + 10 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23 + 1)*(-6 + 7 - 2). Let q be (4360\/u - 4) + (-2)\/11. Suppose 0*m = -2*m + q. List the prime factors of m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 53637.\nAnswer: -16091.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - q - 8 = 2*p, 3*q = -p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18063558 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 24. Suppose -k - s = -11. Solve k*r + 5 = -2*g - 13, -2*g = r + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -61, -6\/407?\nAnswer: -6\/407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5.622 (c) 3 (d) 0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65858 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - -0.2. Let p = 0.1 + s. Let m = p + 0.06. Which is the closest to 0.1? (a) m (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 365*s**2 + 12699*s - 170. Calculate c(-32).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -42*w + 38*w. Let m be (-6)\/14 + w + -6 + 5. What is the nearest to -1 in m, -4\/5, -0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327163973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-90440)*95 - 98\/510?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -611, -1089, -1873, -2957, -4335, -6001, -7949?\n\"Answer: i**3 - 159*i**2 - 8*i - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 63*t - 18. Let w be v(31). Solve -5*s = 3*i + 18, 0 = -3*s + 6*s + 4*i + w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -292\/3. Which is the second biggest value? (a) -0.4 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 170 = x, 0 = x + 3*t - 146. Let c be 8\/12 + x\/6. Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**2\/c)\/c*c)*c**(-2))\/(c\/(c**(1\/2)*c*c))**(-2\/33)*(c**(-1\/4))**28*(c*c**(-3\/8))\/(c\/(((c**(-6)\/c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-1625\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2)*(3 + 0 - 8)*(-9*q**2 + 23*q**2 + 10 - 15*q**2) in the form r*q + c*q**2 + h and give h.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*r - 3 - 46*r - 31*r)*(7 - 2 - 46) as f + c*r and give c.\nAnswer: 5289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.56 and -75.33?\nAnswer: -117.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5976675923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347055 + -347051. Find x, given that 0*x + 0*x**2 + 0*x**3 - 1\/5*x**c + 1\/5*x**5 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - 107\/(-3). Let i = t + -16. Let x = 54 + 1. What is the remainder when x is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37701 - -66269. List the prime factors of j.\nAnswer: 2, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/50)\/(474\/170). Let h = 3\/79 + o. Are -2\/9 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 416061556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4027\/10 - -403. What is the common denominator of 139\/84 and n?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 + q + 1. Let l be (-80)\/(-6)*(-12)\/(-10). Let g = -17 + l. Let d be m(g). What is the nearest to d in -0.3, -2\/13, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4095827 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (2 + sqrt(2736)))**2 + 0 - (sqrt(152) + sqrt(152)*-3*-3)\/sqrt(8))*5.\nAnswer: -50*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from noswsosooos.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.2. Let d = 3 - 2.9. Let a be 8\/6 - (-1)\/6. What is the biggest value in w, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) -5\/4 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 10*w**2 + 4*w - 8. Suppose -29*a = -11*a - 180. Determine k(a).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -20*m**2 - m - 5. Let n be r(-3). Let f = 345 + n. Let w = f + -57. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15 = -3*t, 0 = 2*t - 2*f - 1 - 9. Suppose -9 = 2*v - t*v. Solve -c + v = -0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543530 divided by 1\nAnswer: -543530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8488\/6*(5\/30 - 0). Let c be (2 + 1)*472\/6. Let l = c - v. Which is bigger: l or -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - -186.49. Let w = -4.49 + i. Which is the closest to 0.1? (a) -0.4 (b) w (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 27. Let a be k(-15). Solve b + 2 = 3*v, 5*v + 5*b = a + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639787015 to the power of 1\/2, to the nearest integer?\nAnswer: 40494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*y + 14. Let v(u) = -u - 6. Let t be v(-10). Suppose 92 = s + t*f, 2*f + 15 = 5. What is the greatest common divisor of y and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/18 + (-3)\/(-270)*480?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15360*i**2 + 15363*i**2 - 2*i + 0*i - 20*i**3 to the form n*i + g + m*i**3 + z*i**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.605 milligrams in nanograms?\nAnswer: 137605000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -931*w**4\/12 + 377*w**3\/2 + 2793*w**2. Find the first derivative of a(f) wrt f.\nAnswer: -1862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25310 and 177162\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b - 3. Let x(u) = 3*u**3 + u**2 + u + 1. Let k be x(-1). Let a be 3 + k\/(-1) + 0. Is 3 a factor of d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 1, -1, -0.055?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2230000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46299.\nAnswer: 3, 11, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afecfgafeeafva. Give prob of picking 1 g and 1 a.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1292*(-80)\/35 - 2\/14. Suppose d = 14*a - 1219. What are the prime factors of a?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 68 - 53 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**29*s**24 assuming s is positive.\nAnswer: s**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 5*o + 2*o)*(1 + 2 + 0)*(6425*o - 6425*o - 512*o**3) + o**4 + 3 - 3 as s + k*o + y*o**3 + l*o**2 + m*o**4 and give m.\nAnswer: 3073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*o = -114*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10027 - 9992. Solve -i*d = -39*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = l - 3*j, -2*l - j + 33 - 53 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 6*w**2 - 23*w - 6. Let u be t(-9). Let z be (20\/(-6) + 2)*u\/(-70). Sort z, 0.1, -5.\nAnswer: -5, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 86360?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/80 - f**4\/12 + f**3\/24 + f**2\/2 + 28*f + 1. Factor s(d).\nAnswer: -(d - 1)*(d + 1)*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131380, 131329, 131266, 131185, 131080, 130945?\nAnswer: 130774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-8909)\/118)\/(4686\/1172 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Let c(n) = -i*n + n + 2*n. Let f(g) be the first derivative of -5*g**3\/3 - 3. Give c(f(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + 456\/(-90) + (-16)\/(-40).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 750898, 1501813, 2252726, 3003637, 3754546, 4505453?\n\"Answer: -a**2 + 750918*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 299 = 289, -3*v - 3*o = -9. Solve 0 = v*m + y + 4, -m + 12 = -y - 2*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goog when four letters picked without replacement from ogooggg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236 and 2258520.\nAnswer: 2258520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 16264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 5951?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302a31 (base 12) to base 5.\nAnswer: -143021204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1069760 + -708393. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 684.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143 + -121 + (-2 - 26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121844481.\nAnswer: 3, 11, 101, 139, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1009624137 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 20, 2*z + 3*v = -0*v - 509. What is the remainder when (z\/7)\/(70\/(-245)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(16\/3)\/u*u*u**(3\/4)*(u*u\/(u*u\/(u\/(u*((u\/(u\/(u**35\/u)))\/u)\/u))*u))**(-2\/69) assuming u is positive.\nAnswer: u**(1943\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43020643 rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 486 - 483. Solve 10*n = -k + 33 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17709059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 32*i**2 - 33*i + 20. Let l be n(33). Suppose 3*y = 3*t, y - 2*y = -5*t + l. Let c = 2.1 + -2. What is the third smallest value in c, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 298, 602, 916, 1240, 1574, 1918, 2272?\n\"Answer: 5*u**2 + 289*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 3*n - 1. Calculate k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -11\/9 (c) -0.2 (d) -0.1 (e) 709\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7*p**(2\/11)\/p assuming p is positive.\nAnswer: p**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4\/13, 3, 0.1, -16 in increasing order.\nAnswer: -16, -2\/7, 0.1, 4\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10260\/(-405)*(18\/(-20))\/((-84)\/70)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/4 + 7745*v\/2 + 46479\/4 = 0. Calculate v.\nAnswer: -3, 15493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958614.8mm to micrometers.\nAnswer: 958614800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**3 + 5*m + 9*m - 20*m + 5*m.\nAnswer: -20*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -87*m - 703. Give b(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67c + 6?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -2\/7 (b) 2\/13 (c) 1158 (d) 1\/7 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 0.2, -262, 0.01, 4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {c: 6, v: 4, q: 6, w: 1}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 - 7*r - 8. Let b be s(4). Let m = b + -7. Solve m + 1 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 548165*y - 1096334 = 0. Calculate y.\nAnswer: -2, 548167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgggnnghhnggnhnnng. What is prob of sequence gnh?\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 6, c: 2, o: 1, f: 8, d: 2}. What is prob of sequence deee?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + u - u)*(-7 + 6 - 14) to b*u + o and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2243 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8*(-1 - 273). Let g = 221 + p. Suppose 19*a - 5*a - g = 0. Calculate the remainder when 11 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 49*w - 21. Let j(a) = -5*a + 2. What is 21*j(c) + 2*r(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/7, 3\/5, -6, -195?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -645 + 3095. Suppose 129*t - 134*t = -u. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/2145 and 50\/483821.\nAnswer: 79830465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 12*m - 174. Is 6 a factor of l(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 + 0*j**2 + 5 - 34 + j**2. Let a be q(-7). What is the greatest common factor of a and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 64 - 33*s - 31 - 33. Let u(x) = -3*x**2. Determine u(o(r)).\nAnswer: -3267*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 6512 = -7*o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**3 - 25557262*g - 64416730.\nAnswer: -12*g**2 - 25557262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 4264864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3026, 8401, 16132, 26213, 38638?\nAnswer: 53401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1617991*k**3 - 45*k - 3946?\nAnswer: -9707946*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and -73\/432590.\nAnswer: 432590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -2.634422477349?\nAnswer: 3.034422477349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - 2*z**3 - 14*z + z**2 + z**3 as i + y*z + p*z**3 + a*z**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7343787 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-4501.\nAnswer: -58513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5cb - -18?\nAnswer: -5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 6. Let u(o) = -o**2 - 6*o + 8. Let f(d) = -9*d**3 - 2*d**2. Let w be f(1). Let c be w*(-3 - -4) + 3. Let i be u(c). Give l(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22 = 8. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/249018 and -185\/35574?\nAnswer: 249018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d - 2*w - 1, 3*d = w + 18. Sort 0, d, -2 in decreasing order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**5\/8 + 8*x**3\/3 - 8. Let c(r) be the third derivative of i(r). Is c(6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-9)\/(u**(1\/6)\/u*u)*(u\/((u\/u**(7\/4)*u)\/u))\/u*u*u**(1\/7)*(((u**0\/u)\/u)\/(((u**(5\/4)\/u)\/u)\/u))**(1\/21) assuming u is positive.\nAnswer: u**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 456. Let x = -112 + l. Solve x*z + k - 13 = -z, 3*z - 10 = 2*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5 - 1. Put 1, z, 4 in decreasing order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/54)\/((85\/(-30))\/(-17))*-57.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7797 - 7788 = m - 4*t, m - 3*t = 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/562? (a) -2\/5 (b) -12 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/5*1485\/(-594). Which is the second biggest value? (a) 4 (b) -3\/7 (c) -0.25 (d) o (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a + 30. Let h be z(6). Let p(d) = 2*d - 12. Let q be p(h). Let n be (-148)\/(-36) - (-4)\/q. Solve 4*x - 2*m = 4, -x + 8 = 2*x - n*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21428344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -15. Let k(l) = -l - 5. Determine k(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6800542 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63505.03 litres in millilitres?\nAnswer: 63505030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 2, v: 3, u: 6}. Give prob of picking 1 p and 2 v.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5\/2 - 152*d**4 + 1045*d**3 - 1636*d**2 + 1485*d\/2 = 0.\nAnswer: 0, 1, 5, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 11) to base 12\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.13973ml?\nAnswer: 0.02013973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (1*((-5 + sqrt(19) - sqrt(19)) + sqrt(19)))**2) + (sqrt(19) - sqrt(1900)*-6).\nAnswer: -44 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -24, -85, -200, -387, -664, -1049, -1560?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 104353298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/12 - 2\/(-8). Let n be (-5)\/3*72\/(-60). Determine b, given that -2 - l*b - 2\/3*b**n = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7987992 is divided by 1084?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 11*j**8\/168 - j**5\/6 + 2*j**2 - 10*j. Find the third derivative of q(h) wrt h.\nAnswer: 1320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.0398 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 17.035. Let j = m - -0.114. Round j to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 3*v - 7. Let k(h) = h**2 + h + 1. Let m(p) = c(p) + 4*k(p). Suppose 3*f + 2 = -4*o + 3, -17 = -3*o + f. Is m(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*x + 16, 13 + 16 = 2*x - 5*c. Does x = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*p + 111, 95 + 106 = -5*p - 3*k. Let l = 19679\/1692 - 20\/423. Calculate the common denominator of (186\/p - (-4 + 1))\/4 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(0 + 3\/12). Let r be 5\/(-4) - (-2)\/o. Let i = r - -8. 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: Is 2823047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 5*g + 56. Calculate y(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + -151. Let g be i*10\/(-15)*-6. Let r(w) = -w + 1. Let q(z) = -2*z + 6. Let l(x) = q(x) - 4*r(x). Give l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68, 227, 696, 1643, 3236, 5643, 9032?\n\"Answer: 28*s**3 - 13*s**2 + 2*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-10))\/(-6 + 2). Let m(u) be the first derivative of 0*u**3 + 0*u**2 + 0*u + 1\/16*u**4 + 1 - y*u**5. Determine t, given that m(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o + 2*o)*(-1 - 1 + 3 + 4 + 0 - 2 + (-2 + 6 - 3)*(-1 + 0 + 2) + 0 + 3 - 1 + 0 + 1 + 1)*(0 - 5 + 3).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239954714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 0.1, 2\/3, -7, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(3*s**2 - 3*s**2 + s**2)*(-4*s**2 - 4*s**2 + s**2).\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.57 and 0.071.\nAnswer: -2.31247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -332 and -41.\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -76031 (base 11) in base 3?\nAnswer: -12121120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0 + s**2 + 0. Suppose -3 = 2*l - 0*o + 3*o, 0 = 2*l + 4*o + 6. Let k(r) = -5*r + l*r + 4*r. What is k(m(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -610 + 615. Let 10\/7*m - 2\/7*m**t - 8\/7*m**3 + 4\/7 - 8\/7*m**4 + 4\/7*m**2 = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 - (-3 - -15 - 8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**16)\/(c*c**(-1\/19)) assuming c is positive.\nAnswer: c**(-303\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151044 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-53)\/(-53)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -207. Suppose -3*q + 0*h = -h - v, -4*q = -2*h - 278. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:36 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p - 15*p - 10*p - 12*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152545733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/112*4*(-1)\/(24\/(-84))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.365812 millennia in years?\nAnswer: 2365.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 110351910, 110351914, 110351920, 110351928, 110351938, 110351950, 110351964?\n\"Answer: z**2 + z + 110351908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 122. Calculate the remainder when v is divided by (98\/(-7))\/((-2)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**2\/2 - 23424*b. Let s(p) = -3*p. Let j be 8\/(-5) - 3\/(-5). Calculate j*s(t) + 2*m(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d + 12. Let y(k) = -8*k + 12. Let n be y(-5). Calculate the remainder when d is divided by 0 - (-13)\/(n\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61289459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8360 and 83\/760.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/42*(-24)\/36.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 333. What is the remainder when p is divided by (0 + 1 + (-4)\/8)*56?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 884 - 3941. Is i\/(-18) - 0 - 4\/(-24) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 7*g - 14. Suppose 48 = 2*j + 5*m + 5, -20 = -4*m. Determine t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203431 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -18 (c) -2\/17 (d) -2\/11 (e) 6 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 698591478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (4 - 4)) + 4 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*o + 74*o = -32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 18*o**2 + 8*o - 4. Is b(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 6*p - 8. Let h(q) = -12*q - 127. Let i be h(-10). Let g(v) = -4*v**2 - 7*v + 9. What is i*k(b) - 6*g(b)?\nAnswer: -4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240021 and 29907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2772 and 1584?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 7*l - 4. Let c(f) = -f**2 + 6*f + 3. Let m(s) = 5*c(s) + 4*q(s). Let n be m(1). Let x = -139 - -137.9. Which is bigger: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1492\/4*1 + -5. Is ((-129)\/(-6))\/(8\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from {a: 1, h: 6, i: 2, c: 5, s: 2, m: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.643675 times -51?\nAnswer: -32.827425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-87098)\/(-5778))\/(-37))\/((-2)\/(-6) + -2 + 2)\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*h - 1572, -2838*h + 2840*h = b - 1584. Are -0.1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3 - 37*m**2\/5 + 2629*m\/5 - 17787\/5 = 0. Calculate m.\nAnswer: -147\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2469019 - 2485464 = 143*h for h.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 2*d**2 + 8*d + 12. Let k(q) = -q**2 + 10. Let r be k(-3). Let j be -15 - -7 - r*-3. Is 7 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 25*w**2\/2 + 23*w - 6. Differentiate f(d) wrt d.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350379.\nAnswer: 3, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c - 8*c + 9*c)*(c**4 + 2*c**4 - 9*c**4) + 10*c**2 - 4*c**5 - 10*c**2.\nAnswer: -76*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i - 4. Determine o(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 - 29*f**2 - 50*f + 373. Calculate w(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = -3*q, -3*q - q - 12 = -2*y. Let g be ((-15)\/(-2))\/(-3) - -2. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488, -979, -1470, -1961, -2452?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -39*r - 16. Let q be s(4). Round q to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12097 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 6*t**2 - 59*t\/4 - 21.\nAnswer: -(t - 21)*(t - 4)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 169*i**4\/2 - 104*i**3\/3 + 4*i**2 + 14. Factor d(k).\nAnswer: 2*k*(13*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 0 = -3*l, -3 = 3*d + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 + 17*x**2 - 12*x - 22. Let j be g(-9). What is the least common multiple of ((-6)\/10)\/((-4745)\/(-950) - j) and 20?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 249.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.27 (b) -147 (c) -818\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -662b + 1?\nAnswer: -662a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzzu when four letters picked without replacement from hsuzhhsuhhsz?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0 (c) -0.7801 (d) 6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -5. Suppose 2*q + o - 363 = 0, 4*q - q + 3*o = 549. Let v be (4\/(-10))\/((-2)\/q). Calculate the greatest common divisor of v and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/(2*6 - (-5685)\/(-474)) + 5?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * -0.0038.\nAnswer: -0.00646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/12*8\/14. Suppose -3*u + 3 + 3 = 0. Let c = -1 + u. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*b + 30 - 21 - b**3 - 10 to z*b**3 + p + t*b + q*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*d**2 - 20*d**3 - 39*d**2 - 4*d**3 - 2*d + 2*d + (0*d - d + 3*d)*(4*d**2 - 4*d**2 - 2*d**2) + (-d + 2*d**3 + d)*(3 - 2 + 1).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4, 6, 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3793006 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50204817 times -0.6?\nAnswer: 30122890.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*g = 69*g - 2*u - 82, -5*g + 101 = -u for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from nnwrrwwrwwrrrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 808*x + 41 - 41 + 131*x**2 - 246*x + 512*x**2 wrt x.\nAnswer: 1286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 + 40*s**3 - 2*s**3 + 48*s**3 - 74*s**3.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8248 divided by -6?\nAnswer: 4124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 1138*z**2 + 13757*z + 49452. Determine l(1150).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60606 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 4:46 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 + 22*d**2 + 17*d**2 - 55*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/21 + 5*o**3\/3 - 3*o**2. Find the first derivative of n(d) wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 13, 48, 117, 232, 405?\n\"Answer: 2*g**3 - g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*t**3*v - 14*t**3 + 45*t**2 - t*v + 549*v - 63 wrt t.\nAnswer: 12*t**2*v - 42*t**2 + 90*t - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueeejeuu. Give prob of picking 2 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*f - 70 = 0. What is the second biggest value in -0.4, f, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11989, -11910, -11787, -11620, -11409, -11154?\nAnswer: -10855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.143 - -91.857. Let y = -1134391.0113 - -1134299. Let z = j + y. What is z rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004915608602 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((9 - 0) + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29*t. Let h(i) = 0*i**2 - i**2 + 401*i - 401*i. Calculate h(n(a)).\nAnswer: -841*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 654354.7 millilitres?\nAnswer: 654.3547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7432*c**3 + c**2 + 2919 wrt c?\nAnswer: -44592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 448\/15 - 30. Let r = -2 - -5. Sort v, -0.1, r in descending order.\nAnswer: r, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let z be p(6). Let i = 12 + z. Calculate the lowest common multiple of i and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*c - 48721 = 0, 682*i - 29237 = 679*i - 4*c. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11. Let z = -5 + 10. Let p(a) = a - 6. Let m(j) = z*p(j) + 3*u(j). Let h = 0 + -6. Let o(d) = 4*d + 3. What is h*o(n) + 5*m(n)?\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -809.5937 to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6897804629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p - 13. What is the tens digit of l(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j - 6*j + 2*j + (44 - 44 + 22*j)*(2 + 4 - 4).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**4\/7 + 124196*y**3\/7 + 1862096*y**2\/7 + 248272*y = 0.\nAnswer: -31034, -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 9*v = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 - 10 = 0. Let c(f) = 8*f - 1. Give c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175821 (base 11) to base 15.\nAnswer: -5553e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 1.7. Suppose 5*w + 9 = -16. Which is the nearest to 0? (a) 7 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6 + 332*r + 6*r**2 + 0*r**2 + 215*r - 3*r**2.\nAnswer: 3*r**2 + 547*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/36)\/((-3)\/((-18)\/4)). Which is the biggest value? (a) q (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(14\/168)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*g - 220*g**3 + 368*g - 9*g**2.\nAnswer: -220*g**3 - 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*o + 22*k + 40 - 180 = -922*o, 5*o - 3*k = -65 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/7, 25.4, -16\/9, 1.4, 0.4, -104?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**2\/2 - 11*y - 2. Let d be c(7). Let g be (-6)\/(-8) - 1\/d. Put 0.3, -4, g in decreasing order.\nAnswer: g, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**3\/3 - 685*w**2 - 469225*w + 1466. Determine l, given that f(l) = 0.\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 + -0.754. Let t = -29.934 - k. Let h = t + 30.1. Which is smaller: h or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-22)\/(1056\/900))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22225 (base 10) to base 15\nAnswer: -68ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/5)*o*o**(-3))\/(o\/(o\/(o\/(o**4*o)))*o*o*o**(-8)*o))**(-11) assuming o is positive.\nAnswer: o**(-429\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**2 - 87*s - 17. Is z(-18) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (178\/8 - 23)\/(2\/4). Which is the fourth biggest value? (a) -8 (b) -12 (c) -4 (d) 3\/4 (e) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + 4.63. Let i = -7 + 12. Let q = i - h. What is the closest to q in 1, -0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180\/173371 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 841.68459.\nAnswer: -2525.05377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = 0, 4*r = -3*d + 9*r - 29. Which is the closest to -0.2? (a) -2\/11 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f + 4*z, 2*z = -2*f + z + 6. Suppose 3*g + f*i = 0, 0*g - g - 6 = 3*i. Calculate the common denominator of 61\/6 and (-153)\/(-12)*1 - g\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/6 - 5*u**2. Let m(f) = -4 + 9*f + 4 - 3*f. Give m(t(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 6*b + 4. Let a be m(-6). Let l = a - -1. Let s = 15 - 11. Sort s, 3, l.\nAnswer: 3, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.5. Let y = -853\/5 - -170. What is the third biggest value in y, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((6*sqrt(1400)*-1 - sqrt(1400)) + sqrt(1400)*-2*-2)\/(3*2*sqrt(128) + (sqrt(128) + 1*sqrt(128))*-2).\nAnswer: -75*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19658 and 260.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 8. Suppose -2*i + 5*z - 6 = 0, 3*i - i = -5*z + 34. Let v be q(i). Suppose 2 = -j + v, -3*j = 2*d - 261997. Round d to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 2*a**2 - 2*a + 1. What is v(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 15*d**2 + 14*d + 8. Suppose -42*c - 222 - 103 = 263. What is t(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 11*i + i)*(-2 + 2 - 2*i**2 - 2 + i**2 + 2 + 2*i - 2*i - i**2 + (0*i - i + 3*i)*(-2*i - 3*i + 3*i)).\nAnswer: 96*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 45*r**2. Let t(j) = -12*j**2. Determine x(t(k)).\nAnswer: 6480*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4394 (b) 31 (c) 6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/3 of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 72\/((-12)\/(-104)*(16 + 10))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1261 - -1262. What is the second smallest value in 50, g, -1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59, -131, -143, -65, 133?\n\"Answer: 5*w**3 - 107*w + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/4 + 5*l**3\/3 - l**2 - 9*l - 56. What is p(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*j + 4. Let a be 2 + (-1)\/j*0. Solve 5*z = -a*p - 15, 3*z - p + 9 = -0*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 8*x**2. Let w be b(8). Let h(f) = f**2 - 2. Let n be h(w). Is 10 a factor of (-4 + (-4)\/n)*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 111*m + 7. Let z(w) = 125*w + 5. Give 4*g(r) - 5*z(r).\nAnswer: -181*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*s + 21 = 0, -2*s = -w - 7*s + 11. Solve w = -4*n - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*c**4 - 42*c**4 - 43*c**5 + 2*c**4 - c**5 - 2*c**4 + (-2*c**4 - 5*c**4 + 5*c**4)*(c - 3 + 3) + 2 - 2*c**5 - 2.\nAnswer: -48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.282 + 0.052. Let o = -17.77 + k. Let z = -16 - o. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.1 times -0.29\nAnswer: 2.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/9 - 4*w**3\/3 + 74*w**2\/9 - 20*w\/3 = 0. What is w?\nAnswer: -10, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 216, 299, 362, 399, 404?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10002*x - 10235*x + 119 - 119 - 2*x**3.\nAnswer: -2*x**3 - 233*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 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: ((-512705)\/(-42025))\/((-1)\/(-5))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-7) + 158*1. Let x(r) = -3*r**2 + 428*r - 546. Let b be x(141). Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 8*y**2 - 7*y + 3. Let z be p(7). Suppose z*o + o = 156. Suppose 5*r - o + 7 = -4*w, 2*r - 4*w = -4. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 1 = -5*k, -5*k = 2*n - 9*k - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/561048 and -57\/32.\nAnswer: 2244192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 52958300*j. Let g(w) = -4*w. Determine g(q(c)).\nAnswer: -211833200*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r. Let i(j) = 52*j**2. Give i(m(l)).\nAnswer: 1300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqn when three letters picked without replacement from kknqkkvmn.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3 + 2) - -2. Suppose o + 8 = 3*r, -2*o + 11 = 2*r + x. Is ((-37)\/2)\/(r\/(-78)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360, 831, 1302?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5\/17 + 4464*j**4\/17 - 792*j**3 - 120716*j**2\/17 - 58026*j\/17 + 187740\/17 = 0.\nAnswer: -2235, -3, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 863 - 2142. Round h to the nearest ten.\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.03 (c) 2\/5 (d) 0.078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5980 divided by 46?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1099*r**3 + 11*r**2 + 10*r + 2. Give t(-1).\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*o - 2782*o - 40 + 45.\nAnswer: -2615*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109*k**2 + 16 + 137 - 37 wrt k.\nAnswer: -218*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (246\/9471)\/(4\/28)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 913*c - 13064. What is k(-14)?\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h + 34*h + 2*h**3 + 22*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-3) + -1 - (-116 - -118). Solve 3*a + i = -5*q + 6*a, 2 = -4*q + 3*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*n + 47*n + 33*n to the form q + u*n and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmisvsmv. What is prob of picking 2 v and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 6*q + 7 + 7 + 3*q + 0*q - q + (2 - 1 - 2)*(-q + 3*q - q) + (-2*q + 2*q + 2*q)*(0 + 1 - 4) to w*q + t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 39 = -12*b. Solve 4*j + 9 + b = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219915855 minus 0.1?\nAnswer: 219915854.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**3\/6 - 2*p**2 + p. What is the derivative of b(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318420 by 2.\nAnswer: 159210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**2 + 7*o - 4. Let d(a) = 15 - 26 - a + 5*a + 9 - 5*a**2. What is -5*d(h) + 3*x(h)?\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 1, -5*u + 7 = -t. Suppose 16 = t*k - 56. 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: Solve -3*i = 7*w - 10*w + 3, -w - 11 = 2*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1309.6+948\nAnswer: -361.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-10)*z**(2\/25)\/z)**2\/((z\/(z\/z**(-2\/11)))\/(z*z**7)*((z**(1\/3)*z)\/z*z*z)**(14\/3)) assuming z is positive.\nAnswer: z**(-50854\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 236988\/4002*((-22)\/12)\/11 - (-11 + 1)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmn. What is prob of sequence mz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*c**4*l**2*w**2 - 230*c**3*l**2 + 405*c**2*l**2*w - c**2*l - c*l*w**2 + 2*l**2 wrt c.\nAnswer: 216*c*l**2*w**2 - 1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 15*q - 2. Let k be m(-13). What are the prime factors of k\/(-56) - 1070\/(-14)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 15 = 2*x - 5*m, -2*x + 3*m - 7 = 0. Let a = 16 + x. What is the remainder when 32 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230677*m**2 - 288013.\nAnswer: 461354*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2018\/9 + 224. Let l be ((-2)\/(-28))\/((-94)\/329). Which is the third smallest value? (a) j (b) -2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*p - 24 = -3*q + 129*p, -5*p = 15. Solve q - 62 = -8*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54\/11 + -292\/55. Which is the second smallest value? (a) 0.4 (b) 0.7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 15*k + 9. Determine q(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-12)\/14*((-1395)\/(-60))\/(-31))?\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/144*6)\/((-6)\/(-648)*-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 - c + 3*c - 4*c - 6*c to t*c**2 + l + y*c and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(10 + -56 + 45)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 117. Let o be u(56). Let k be (8 - 4 - 4) + o + -5. What is the highest common factor of k and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/120 + j**5\/10 - j**4\/24 + 2*j**3\/3 + j**2 - 4. Give a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93066011, 93066010, 93066007, 93066002, 93065995, 93065986, 93065975?\n\"Answer: -s**2 + 2*s + 93066010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-112) - (-3)\/(-7). Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*l - 14, 69*k - 5*l - 11 = 65*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4) + (-4)\/8. List the prime factors of (26\/(-65))\/(j\/(-220)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 23 - 19 - 37?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 13*q = -6. What is the units digit of 5 + 67*(q - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9173\/25 + -367. Let v = t - 371\/50. Let u = 43\/6 + v. Do u and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15828 and -14.723.\nAnswer: -233035.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m + 3. Let i(q) = 3*q**2 + 5*q - 5. Give 2*i(k) + 5*w(k).\nAnswer: k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 27 - 57 = 0. Suppose h - 2*c - a = -5*c, -28 = -3*h + 5*c. Suppose 4*y = 39 - h. Let f(s) = -s**3 + 7*s**2 + 4. Give f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 + 6 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1975, -2090, -2205?\nAnswer: -2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 102. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 1\/6*t**3 + 2*t**2 - 1\/8*t**4 - 30*t + 0. Let k(c) = 12*c - 5. What is -9*h(i) - 2*k(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 2913*o + 467943. Give r(-146).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 475?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 15 = -3*x, 2*x + 18 - 2 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15580 divided by -5\nAnswer: -3116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082170483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -135, -298, -525, -816, -1171, -1590?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420 - -2?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccrcccccmccrcrrj. Give prob of picking 1 c and 1 j.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = -59*n - 89 - 774 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6118900 to the nearest 10000.\nAnswer: -6120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 4. Let i be u(-6). Let p = i - -7. Let s = p + 35. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*g + 985*g + 736*g - 282*g + 456*g.\nAnswer: 1539*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -17734\/585 <= -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 85, 254, 481, 760, 1085, 1450?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 6 + 14. Suppose 5*v = p*v + 3. Suppose 0 = -v*d + d + 434. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4) - 124\/(-16))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 4*n - 4*n)*(-4103*n - 4109*n + 8210*n - 8*n**2 + 10).\nAnswer: -32*n**3 - 8*n**2 + 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-40))\/(5\/(-175)). What is the highest common divisor of 217 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/15348909 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let p(h) = 165*h + 2. Let c(m) = -818*m - 10. Let y(o) = -2*c(o) - 11*p(o). Give y(z(i)).\nAnswer: -179*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.720894 * 0.4\nAnswer: -0.2883576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187028*a**2 + 381676*a**2 - 194649*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-13)\/273 + (-1639515)\/(-63) and 22?\nAnswer: 286264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/128 - 3934\/(-16). Let i = n + -90. What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0 - 1)\/2. Sort i, -4, -2, 3, 90 in increasing order.\nAnswer: -4, -2, i, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 142 + 4 + -5 - 2. Suppose 77 = 3*b - w. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12872*n**2 + 12871*n**2 - 13 - 25745*n**2.\nAnswer: -2*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = 9. Let u(q) = -6*q + 13. Let d(n) = 5*n - 11. Let a(b) = -7*d(b) - 6*u(b). What is a(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13180 + 3386?\nAnswer: 16556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeekk. Give prob of picking 1 e and 1 k.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5889144526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(176) - (-1*sqrt(176) - sqrt(176))) + -1)*1*3)**2.\nAnswer: -216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, 0, -33, 4 in increasing order.\nAnswer: -33, -4, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -843274 divided by -17942\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a + 47. Calculate v(-21).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yogy when four letters picked without replacement from ogyksoyg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and -1 + 0 - (-75)\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 7450?\nAnswer: 81950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2385 + 1523. Let p = -137263094.99541 + 137262233. Let g = p - v. What is g rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9 = -2*r. Suppose 15 = -2*i + 5. Sort i, r, -10 in descending order.\nAnswer: r, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x**2 + 10*x**2 + 108 - 15*x**2 - 108 + 10*x**2. Let p(y) = -7*y**2 - 3. Let t(z) = 14*z**2 + 7. Let u(d) = 7*p(d) + 3*t(d). Give a(u(v)).\nAnswer: 735*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 210.6 and 1402?\nAnswer: 295261.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67319784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*k + 152 = -308*k. What is the remainder when (-2*k\/(-32))\/(3\/60) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = 15. Let a be (0 + -1)*o\/2. Let w(n) = -2*n - 1. What are the prime factors of w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -3)\/(-3 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 5:56 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0 + 0*u + 4\/3*u**3 + 11*u**2 + 1\/8*u**4. Let c be x(-2). Solve a = c*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7522\/317 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394094918 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 74523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1676, 3097, 4534, 5993, 7480, 9001, 10562?\nAnswer: 12169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**3 - 2*v**2 - 2*v. Let k(s) = 17*s**3 + 5*s**2 + 5*s. Suppose 0 = 11*y - 7*y - 3*f - 24, 3*y - 5*f - 29 = 0. Determine y*k(w) + 7*a(w).\nAnswer: -12*w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579 divided by -5?\nAnswer: -1579\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from rijcjjvvcjiiji?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 3 (c) 98 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 1)**2 + 5 + sqrt(200) + -1 + -5)*-4.\nAnswer: -800 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12961*o**2 - 31735?\nAnswer: 25922*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b + 15. Calculate z(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:40 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l = -y - 9, -2*y - 18 = 125*l + 142*l - 267*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*j + 10 = -286*j + 199 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 - (-42)\/8. Let c be 1\/2*2 + m. Let l(b) = -6 + c + b. Give l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.4 - 407870\nAnswer: -407854.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989475 is divided by 331576.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35503234 (base 6) to base 10.\nAnswer: -1112710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*c + 7*c = 3416 + 3612 - 852 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -42*u + 2. Let p(j) = -4*j. Give b(p(v)).\nAnswer: 168*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 12*x - 6. What is the least common multiple of q(-10) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 951248 and 1440.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from owozkzff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1120*r. Let b(m) = 2*m**2. Give u(b(q)).\nAnswer: 2240*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 113.\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from bmbrrrrbrmrrmm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -435*h - 673. Let o(b) = 143*b + 224. Let t(w) = 7*o(w) + 2*u(w). Find the first derivative of t(r) wrt r.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t*t*t*t\/t**(-5))**(7\/6)\/(t**(4\/5)\/t*t**(-1))**(-5\/11) assuming t is positive.\nAnswer: t**(349\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u - 53*u + 672 = -8*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 46 + -48 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 685911 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1392 divided by -32.\nAnswer: -87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/18 - (-835)\/3. Let z be (-2)\/(-11) + o\/99. Find the second derivative of -20*f**4 - z*f**4 - 2*f**4 - 5*f wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*z + 90, r + 1 = -2. Let l = z + 27. Let o(m) = 3*m**3 + 1. Calculate the remainder when o(1) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.5 and -35033.\nAnswer: -35035.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.376 times -1.1?\nAnswer: -0.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klklklkmmulpmlll. Give prob of picking 1 k and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -16. Suppose -3*v + 4*v - b = 0. Solve 4*z - 12 = c + 3, 2*z = v*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 7458 + 7464 - 2*k**4 - 2*k**3 + (2*k**2 + 3*k - 3*k)*(-k**2 - 5*k**2 + 4*k**2) as s*k + y*k**4 + b*k**3 + v + x*k**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2030 + -3?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1276, -3844, -6412, -8980, -11548, -14116?\nAnswer: -16684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 62)\/(-12)*34\/(-10). Solve 2*u + 5*d = 5*u - 10, 3*u + 2*d - o = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let c = 5 + j. Solve u - 3 = -c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 61341554.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 93*o**2 + 487*o - 53385. Calculate n(92).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*x**2 + 452*x**2 - 7*x + 7*x.\nAnswer: 618*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1073.22922 to the nearest integer.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 46 = 5*l. Let h be 2\/l + (-12)\/(-16). Find the second derivative of -c - h + 2*c**3 + 1 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -212. Let t = -68 - n. Let l = t + -49.9979. 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 highest common divisor of 12 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73066539361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 39*z - 74. Let m be q(2). Suppose 31*w = 27*w - m. Let o = -10 - -48\/5. What is the third biggest value in w, o, 24?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 - 18*g**2 - 23*g + 56. Determine h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3219 and 1324082.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -3\/52, 3?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3786? (a) -2\/5 (b) -33 (c) 0.4 (d) -6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -261. What is the remainder when t is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 213?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -325\/423746 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let n = 2 - q. Let v be (n\/(2 + 0))\/2. Solve v = 5*l - 5*z - 5, -l + 2 + 3 = z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = q - 4, 3*q = i + 16. Suppose 3*p + 0*p = 27. Solve -2*y = 3*m - p - 9, -5*y = -q*m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -54*w + 76*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2209*n*s**4 + 20*n*s**3 - 5654*n*s**2 + n*s + s**4 - 217*s wrt s?\nAnswer: -53016*n*s + 120*n + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k - 5. Let h be -6*((-351)\/26 + 13). Let z(u) = -8*u + 4. Determine h*z(c) + 2*v(c).\nAnswer: -8*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 524798051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -34*g**3 - 201*g**2 - 7*g - 93. Calculate w(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 22*d**2 - 22*d + 387. Give g(-19).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167446553 a multiple of 1543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by -16?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 9) + -3 + 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1528 + -1527. Which is the closest to q? (a) 0 (b) -0.2 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 5*6\/(-3). Suppose -4*t - f + 8 = f, c = 4*t - 2*f. Solve -d = t, 0 = -4*h - d - d + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1324034043 (base 5) to base 12\nAnswer: -1154518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-408)\/(-66) + -3 + -3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.043*-51010.\nAnswer: 2193.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0627*0.09032.\nAnswer: -0.005663064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:20 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 558 - 552. What is the remainder when 6 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s - 105. Let x be k(-18). Let o = 0.048 - 1.048. Which is the fourth biggest value? (a) 0.3 (b) x (c) -1\/5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 11*o + 24. What is the tens digit of d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by 8088932\nAnswer: -103\/8088932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/4)\/(2\/4). Let r = -50 + 115. Calculate the greatest common divisor of s and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 13)*(36 - 925\/25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:14 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.4 + -0.4. Let t = 4.7 - q. Let h = t + -5.8. Round h to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, f: 3}. What is prob of picking 2 c and 1 f?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6415765.\nAnswer: 5, 503, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (16 - 17 - 4 - -21) - 10\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872) + (-2*3*sqrt(1872) - sqrt(1872)) + (sqrt(1872) + sqrt(1872) + 2 + sqrt(1872) + sqrt(1872) - sqrt(1872))*4 + -2)**2.\nAnswer: 576*sqrt(13) + 67408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 13*u + 25 to f + z*u and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 140 = -0*z. Does 2 divide z\/4*(2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6368.56282 rounded to the nearest integer?\nAnswer: -6369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*i + 12499996 = 2*q, 3*i + 3 = 0. What is q rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-33))\/((-20)\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295359199?\nAnswer: 19, 15545221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 12) to base 2\nAnswer: -100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -506*i**2 + 88*i**3 + 16*i**3 + 508*i**2 + 31*i**3 to the form s*i**3 + b*i**2 + p + k*i and give s.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 11110110001111111000011001?\nAnswer: -11110110001111111000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 136750 equal to 136840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20948\/18 - ((-129)\/(-27) - 5). Suppose z = 8*g + 1132. Calculate the smallest common multiple of g and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37543481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5551470*i**3 - 2*i + 9723689 wrt i.\nAnswer: 16654410*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -596.5918 to the nearest ten.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*n + 28, 2*v = 3*n - 7*n + 24. Let z = 4 - v. Let f = -1.5 - -1. What is the third smallest value in f, -2, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.5565 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/5 - 19*i**4\/12 + 43*i**3\/2 + 159*i**2 + 1. Calculate the remainder when f(4) is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8*y + 25 = -9*y, -5*o - 40 = -2*y. Let r(g) = 30*g**2 - 3. Let w(l) = 60*l**2 - 5. What is o*w(c) + 10*r(c)?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4412642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1709685 and -70\/9.\nAnswer: 1709685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4)*5)\/(1*sqrt(275)) - (((sqrt(20)\/sqrt(4) - sqrt(5))*-1)**2 - ((-3*sqrt(605) - sqrt(605)) + sqrt(605))).\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.276379 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2. Let g(i) = -7953 + 7950 - 3*i**2 + 2*i**2 - i**2. Determine g(d(t)).\nAnswer: -72*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1988.5 + 1988. What is the closest to 1 in -0.3, 9, -47, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhjj when four letters picked without replacement from jhjll.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 15*q**2 - 17*q + 57. What is the thousands digit of r(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/1153, -5, 12, 5?\nAnswer: -2\/1153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Suppose -6 - 2 = -j*i. Which is bigger: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 2. Let u be h(-3). Let m be u\/2*0\/((-3)\/(-1)). Which is smaller: -2\/73 or m?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 - 10525485389?\nAnswer: -10525484806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 858163281 to the power of 1\/3, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1674862 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, n: 4}. What is prob of sequence tnt?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 - 15)*(-3)\/(-570))\/((-15)\/(17850\/68)).\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.077 - -0.077. Let j = 50 + k. Let v = j - 42.5. What is the second smallest value in 0.1, v, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 2:22 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -87375750 divided by 1323875\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/13)\/((x\/x**(-16))\/x) assuming x is positive.\nAnswer: x**(-205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*s - 38, 0*x + 5*s - 16 = x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f*(f*f\/((f\/(f**(-1\/4)\/f))\/f))\/f*f)\/(f**6\/(f**(2\/43)\/f)) assuming f is positive.\nAnswer: f**(-895\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-14)\/l)\/(l*l*(l\/(l*l**4))\/l))\/(l*l**(-8))**(-37) assuming l is positive.\nAnswer: l**(-271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.05054l in millilitres?\nAnswer: 46050.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 547709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 2*j**2 - 2*j - 1. Let a(u) = u**4 - 31*u**3 - 22*u**2 + 48*u - 4. Let l(m) = -a(m) + 4*x(m). Solve l(w) = 0 for w.\nAnswer: -2, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -8\/7, -9.1, 0, -0.2 in descending order.\nAnswer: 53, 0, -0.2, -8\/7, -9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078329 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 + u - 25. Let r(p) = -4*p**2 - 2*p + 24. Let g(s) = 6*r(s) + 5*w(s). Let x be g(9). Suppose 0 = -4*l + x + 51. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*d = -1 - 11, d - 4 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*o**(3\/11)\/o)\/((o\/o**(-4\/9))\/((o\/(o**0*o*o*o*o))\/o)) assuming o is positive.\nAnswer: o**(-17\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 30.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9811 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -13.68. Let w = v - -0.02. Let t = -1003\/4965 + 2\/993. What is the nearest to -2\/5 in w, t, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 0*u**3 + 8*u**3 - 2 - 4*u**2 + 5*u**2 + u - u**4 in the form s*u**4 + y*u**2 + x*u**3 + k*u + h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 60*y + 353. Let g be r(-6). Suppose 0 = t - 13 - 0. Is (t + g)*(-6)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 1 = -7*j. Which is the third smallest value? (a) -2 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252 - 1. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -271.\nAnswer: -1\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 7222*x\/9 + 20288260\/3.\nAnswer: -2*(x - 7610)*(x + 3999)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Let n be ((-4)\/(-10))\/(33\/(-55)). Which is the biggest value? (a) -1 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 540*g**3 - 540*g**3 - 38*g**4 - 168*g**4 + 142*g**4 - 119*g**4 + 5*g**4 - 4*g**4 - 3*g**4 + (g**2 + 0*g**2 + g**2)*(-2 + 2*g**2 + 2).\nAnswer: -181*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = n + 9 + 5, -n + 6 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 164153*596\nAnswer: 97835188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (240\/720 - 1\/(-15))*10\/(-4). Let p be (-4986)\/(-20) - 15\/(-10). Let l = -252 + p. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 22*q + 788. Let x be u(-34). What is the highest common divisor of 755 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -614? (a) -2\/11 (b) 3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908105763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2797 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-75)*15\/(4\/(96\/(-36)))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 3*c - 5, 5*c = 4*l - 5. Let z = -3 - l. Let a(b) = b + 7. Let y be a(-6). Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/5 - 22*r**4 + 716*r**3\/5 - 988*r**2\/5 - 714*r\/5 + 1098\/5 = 0.\nAnswer: -61, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s + 25*s = 69*s + 116. Solve -4*n - d - 11 = 0, 0 = s*n - 5*d + 9 - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 22*y**2 - y - 11 + 0*y - 23*y**2 - 2*y**3 as f*y**2 + w*y + d + i*y**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/56)\/(4\/(-448)*4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9 - 9 + v + 18. Let o(m) = -3*m. Determine f(o(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/2 - 47*q**4\/8 - 121*q**3\/8 - 35*q**2\/4 = 0. What is q?\nAnswer: -5\/4, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -326868, -326869, -326870, -326871, -326872?\n\"Answer: -t - 326867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**7\/30 + 23*g**6\/120 - g**5\/3 + g**4\/6 + 24*g**2. Factor b(u).\nAnswer: -u*(u - 2)*(u - 1)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47691, -46947, -46203, -45459?\n\"Answer: 744*a - 48435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 7:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189836 + -189836. Factor -4\/3*q**2 + 4\/3*q**3 + a*q - 1\/3*q**4 + 0.\nAnswer: -q**2*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 - 4814*s**2\/3 - 961584*s + 4848120.\nAnswer: -2*(s - 5)*(s + 1206)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 15. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 5. Suppose -10*v - 30 = -x*v. Suppose -142 = -v*s + 62. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203286 is divided by 9173?\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/642 and 29\/4.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45d0 + 2?\nAnswer: -45cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(2))*-1 - (-3*sqrt(14))\/sqrt(7)) + 5)**2.\nAnswer: 28*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y = -3*m - 240, 4 = 3*m + 2*y + 70 - 18 + 22 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 2\/3*a**3 - 7\/2*a**2 - 162 + 1\/4*a**4 + 2*a. Determine p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8266000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 353435993.8705?\nAnswer: -353435995.8705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3167 - -3590. Are 425 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11492 is divided by 122.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18811, 18809, 18799, 18775, 18731, 18661, 18559?\nAnswer: 18419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m - 3*l + 5, 3*m + 4*l = 16. Let t be m - (0 - 4\/(-2)). Suppose -t*x + 11 + 1 = 0. Let h(j) = -j**3 + 6*j**2 - 2*j - 2. Determine h(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Let z be (q + -10)*3\/(-6). Solve 5 + 11 = 4*l + 3*c, 0 = -z*l + c + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -296, -622\/3, -0.4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1976\/260 - (0 + 2 + 7). Sort 38, d, 0.2.\nAnswer: d, 0.2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duaududuauuauuud. What is prob of sequence ada?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84, 91, 100, 111, 124?\n\"Answer: a**2 + 4*a + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*q. Suppose 2*p + 2 = q, 4*k - 55 = 4*p + 85. Suppose 5*v - 3*v = k. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, -457255, 0.\nAnswer: -457255, -11, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9458837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8534 at least -8529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 32 = 12*o. What is the lowest common multiple of 3 and o\/((-4 - -5)*-1 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37298\/11 greater than or equal to -3390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4000\/(8\/(4660*-4)). Round g to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241 - -3062324?\nAnswer: 3062063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 + 12*n + 110 = 0.\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 - -164. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 24*t**3 - 32*t**2 + 24*t + 36.\nAnswer: -4*(t - 1)*(t + 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 3*i - 6. Is 26 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f + f**3 + 3*f - 7257*f**2 + 7266*f**2 - 17. Calculate d(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35111852 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -1\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 240101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7824)\/(-1141)*(-14)\/(-30).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29232d (base 14) in base 3?\nAnswer: -2200112011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232151, -5, 4 in decreasing order.\nAnswer: 4, -5, -232151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) -108 (c) 0.817\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 - 8\/6. Let f(g) = g**3 + 3*g**2 + 3*g + 1. Let s be f(v). Is (-21)\/s*1 + 3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + sqrt(4212))**2 + -2)*-6 + -1.\nAnswer: -25261 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 452460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16))\/(75\/((-12600)\/(-651)))\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 1357512974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*-135*(-1474)\/(-3618)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276574?\nAnswer: 2, 61, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11743, 11744, 11757, 11788, 11843, 11928, 12049?\n\"Answer: s**3 - 6*s + 11748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3614?\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6*(-9)\/12. Let h = 2 - -43. Let o = h + -45.3. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1308 divide 166768428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1881\/95 - 20)\/(-498*(-1)\/60)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, 0.28, 1?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*l - 353*l + 7*l**2 + 0*l**2 - 350*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.500524 rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45311456 (base 7) to base 4\nAnswer: -33000321023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1998630 and 3180?\nAnswer: 3997260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -4*w**3 - 15*w**2\/2 - 25*w. Differentiate m(h) with respect to h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -64519.\nAnswer: 24\/64519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - d = 966, r - 13*d - 8*d + 46 = -35*d + 15*d for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhoqfokqqkov. What is prob of picking 1 o, 1 f, 1 k, and 1 v?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(121)*5)\/(-1*(sqrt(11) + sqrt(77)\/sqrt(7))))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1) + (11 - 9). Suppose 5*f = 2*r + 95, 6*r - r - 38 = -k*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1750, -3492, -5230, -6964, -8694?\nAnswer: -10420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 70 * -36868\nAnswer: -2580760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/928996 and -145\/6.\nAnswer: 2786988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11842312 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86127, -172222, -258317?\nAnswer: -344412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = 0. Suppose v*x + 12 = 4*x. Let g(j) = -3*j + 8 + 2*j + x*j - j. Determine g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -9, 1, 5, 0, -5, -6 in ascending order.\nAnswer: -9, -6, -5, 0, 1, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {u: 4, k: 1, b: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 6*w. Let m = -27 + 33. What is g(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2799340\nAnswer: 1\/1399670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49717, -99442, -149167, -198892, -248617, -298342?\nAnswer: -348067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1145939949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -123*d - 844. Let f be h(-7). What is the greatest common divisor of f and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 104.77 micrograms?\nAnswer: 0.00000000010477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Suppose 2*b - 1 = -3*t, 2*b - 3*t - o = 3. Suppose 0 = -4*m - 2*a + 82, -b = -m + 3*a + 36. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q + 15. Suppose -36*p + 30 = -31*p. Let k = 30 - p. What is the least common multiple of q and k?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6040 = 21*l - 8450. Calculate the highest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1688, -3952, -6218, -8486, -10756?\n\"Answer: -v**2 - 2261*v + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 432389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*s - 2)*(-49*s - 5*s**4 + 49*s) - 31*s**5 + 14*s**5 - 26*s**5.\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5602 divided by 2.\nAnswer: -2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 98. What is y(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Let p(m) = -m**2 + 3 - 7*m - h + 0*m. Calculate p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {b: 5, j: 2, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312*h**3 - 196*h**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/50*4*30\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*c + 17, 4*s + 14*c - 19*c = 15. Solve 3*a = 4*u + a - 2, 5*a = s*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 136*o - 2265.\nAnswer: (o - 151)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*5\/125*3*5. Is 112\/11 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:53 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o**2 - o - 17. Let d be 4 - ((4 - -1) + -3). Let q be ((-63)\/(-28))\/(d\/8). Is a(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -5*v + 2*m, -9*m + 14*m + 165 = -5*v. Let n = 774 - v. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 4 - (1 + -6). Suppose -i = -h*i + 12013644. Suppose 13395452 + i = -2*x. Round x to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-3049)\/2)\/((-63)\/(-105) - 51\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541 is divided by 152?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850296.\nAnswer: 2, 3, 71, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-4440)\/188700)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 362*m**2 + 11587*m + 99. Determine h(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103205 - 7557?\nAnswer: -110762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-1) - 7)\/(-1 - 0). Solve 3 = s*r - 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/((t*t**(5\/3)\/t)\/t*t)*(t\/(t*(t*t\/(t*t**(-4)))\/t))\/((t**(-2\/35)\/t)\/t))**(-47) assuming t is positive.\nAnswer: t**(17813\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1)\/(2\/(-16)). Let u = w - -13. Let r(q) = -q**2 - 209*q - 9286. Let o be r(-64). Let t(h) = -5*h - 5. Let z(l) = -5*l - 6. Give o*t(d) + u*z(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27286195\/132 - -206715. Let m = -19\/12 + g. Which is the closest to -0.1? (a) -0.2 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.099, 4\/7, -17122?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i + 1. Let j(p) = 0*p + 5*p**2 - 5 - 3*p**2 + 3*p**2 - 6*p. Determine -j(b) - 6*m(b).\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.02. What is the fourth smallest value in 4, p, -1\/3, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001329409 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*x - 2*z - 3*z, 5 = x + 2*z. Let q(v) = 11*v. What is the remainder when 30 is divided by q(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Suppose b = 3*k + k - 32. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -971\/28 and -35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 764273 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39215, 38507, 37799?\nAnswer: 37091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2672 - 759. What are the prime factors of d?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j**(1\/6)\/j)*j**5*(j\/(j*j**(-1\/3)\/j))**(-27)*(j*j*j**(6\/7))\/j**(2\/15)*(j\/j**(-7))\/(j\/j**(-1\/10)) assuming j is positive.\nAnswer: j**(-649\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3575 + -39297\/11. Let l = j + -223\/66. What is the nearest to 0 in -5\/2, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(48)\/sqrt(4)*5 + ((sqrt(12)*-2 - sqrt(12)) + sqrt(12))*3)\/((sqrt(192) + (sqrt(192) - sqrt(192)*2) - sqrt(192))\/sqrt(8)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 2*f + 97. Let o be w(11). Let c be o - 5\/5*-2. Suppose -2*q + 1 = -7. Solve c = q*z - z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whrbhybh. Give prob of sequence wrby.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/722 and -23\/228.\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133600 and 16672.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2806 - -4326. Calculate the greatest common factor of 570 and f.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001111111100010100011011 + -101?\nAnswer: -1011001111111100010100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*m**4 + 9*m**4 - 1 - 2*m + 7*m**4 in the form f*m + r*m**4 + a + y*m**2 + x*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*h**3*s - h**3 - 99*h**2*s + 783 wrt s?\nAnswer: 26*h**3 - 99*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*n**4 + 91010*n**2 + 4824032 wrt n?\nAnswer: 52*n**3 + 182020*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(12) + sqrt(12) + sqrt(192)))**2 - sqrt(11)) + -5.\nAnswer: -169\/36 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(110) - -2*sqrt(110))*6 - sqrt(110))\/((sqrt(10) + sqrt(90))*-1).\nAnswer: -17*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -11, 10842598 in descending order.\nAnswer: 10842598, 1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*h = -h + 2, -s - 5*h + 2 = 0. What is the third derivative of -54*z**s + 83*z**2 + 19*z**3 - 72*z**2 wrt z?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54406124*f**3 + 60660213.\nAnswer: -163218372*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -40\/3*s + 1\/3*s**2 - 28 = 0. Calculate s.\nAnswer: -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7165 plus 3?\nAnswer: -7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r)*(-2 + 1 - 1) - 2 - 2*r + 3*r + 0*r.\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9064 and 104236?\nAnswer: 208472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257455?\nAnswer: 5, 11, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d0 (base 16) in base 12?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2*w**2 + w. Let a(u) = 3*u**3 - 3*u**2 + 3*u. Let y(l) = -2*a(l) + 5*g(l). Let f be y(-4). Suppose 0 = -f*t + 5*t. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11645 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 1. Let z = -354 + 429. What is the greatest common divisor of k and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1746.99 - 1747. Let q be 1\/(3\/6)*-3. Let k(r) = r**2 + 7*r + 8. Let f be k(q). Which is the third biggest value? (a) -4 (b) f (c) -0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486186 divided by -1?\nAnswer: -486186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7513419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431 (base 5) in base 7?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11644205 divided by 18?\nAnswer: -11644205\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 1629.\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 200.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6231 - 11\/33*(-1 - -19). Let m be f\/325 - (-6)\/(-39). What is the greatest common divisor of m and 1387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/12, -0.1, -3\/2, -57 in increasing order.\nAnswer: -57, -3\/2, -0.1, 29\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, h: 2, c: 2, w: 1}. Give prob of picking 1 h and 2 c.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -118. Let f = -52 - o. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.78 + 0.22. Which is the second biggest value? (a) y (b) -4 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-2\/7)\/k))\/(k\/(k*k\/(k*k**3)*k)*k) assuming k is positive.\nAnswer: k**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -298.7 and 0.0573.\nAnswer: -17.11551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - -6.08. Let x = p + -3. Suppose 2*w + 4*o - 14 = 0, 2*w = -w - o - 4. What is the third smallest value in 1, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {l: 1, p: 1, z: 6, n: 8, v: 2}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13485 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.5907 times -21\nAnswer: -33.4047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 41*c**2 - 6*c + 244. What is f(0)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coco. Give prob of sequence cc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4 + 0 - 9 + n - 6*n. What is the units digit of a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*y - 631*y - 2116*y = -141659 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1973*b + 229. What is the thousands digit of z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86868 and 124.\nAnswer: -10771632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, g: 1}. What is prob of sequence gaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13 + 119*j + 4 - 121*j - 3. Calculate d(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 + 51*f - 399. Calculate b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79)\/(-60)*6984\/(-36666) - (-3 + (-25)\/(-9)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 6. Let j be p(5). Let c be 248002\/j + 10\/(-20). What is c rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*v + 3. Suppose -2*c + y = -12, -4*c + 17 = -y - 3. Let n = c - v. Solve z - 4*z + n = x, 2 = x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 25664?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -62 + 2*w**2 - 18*w + 3*w + 128 - 58. Let u = 10 + -3. Calculate the least common multiple of j(u) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 55*a**2 - 88*a + 1448. What is the hundreds digit of s(46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43212 and 1903544.\nAnswer: 74238216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 12*i + 227. Let f(d) = -6*d - 115. Let s(b) = -11*f(b) - 6*w(b). Find the first derivative of s(y) wrt y.\nAnswer: -12*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from khlhklhhlhklkkql?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 25.4. Let t = 58 + -35. Let i = 19 - t. Which is the closest to l? (a) i (b) -3\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46075 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*d + 2*d - 130 = 0, -2*d + 98 = 3*r. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*r = -44*r - 62964 + 171204. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31308 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19672305 is divided by 192?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 6, -10*a - 90 = -14*a - 2*i. What is the greatest common factor of a and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.061835ug to tonnes.\nAnswer: 0.000000000002061835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 5\/4, -1, -0.1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j**4 + 0*j + 0*j**3 - 9\/2*j**2 - 1\/5*j**5 + 7. Find the second derivative of c(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let f(i) be the second derivative of 4*i**3\/3 + 12*i. Determine f(x(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15824983 to the nearest integer?\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/6 + 7*x**2 + 2*x. Let w(f) = 3*f - 44. Let p be 5 + (-2)\/3*3 - -9. Let g be w(p). Determine v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.2 (b) 2 (c) -19\/6 (d) 1\/4 (e) 2\/7 (f) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5152\/11 - 5154\/11. What is the fourth biggest value in -1\/3, g, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 2, a: 3, c: 2}. What is prob of sequence co?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 3*i - 1451. Suppose 0 = -21*h + 22*h - i. Is 36 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 787*w - 32249. Give m(-347).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431 + -412. Suppose -62 = -n*g + 52. Solve 4*w + 4*p + p = -g, 5*p = -2*w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1187 - 861*q**2 + 912 + 859*q**2 - 609.\nAnswer: -2*q**2 + 1490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((2688\/(-20))\/6)\/((-2)\/40). Suppose -3*f = -7*f + w. 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: What is the closest to -42\/13 in -4, 2\/3, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysariiysv. What is prob of sequence yisr?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 165.\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-40) - (-34)\/(-20))*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 + 2.76. Put -1\/5, u, -2 in descending order.\nAnswer: u, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 4*x + 1. Let g(n) = -n - 5. Let m(k) = 5*k + 2. Let y be m(-2). Let j be g(y). Let p be s(j). What is the greatest common factor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 191337, 191341, 191347, 191355, 191365?\n\"Answer: q**2 + q + 191335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 30. Suppose -q*c = -2*c. Suppose -2*a + 81 = 2*b - b, c = -4*a + b + 171. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2793 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*w + 507*w + 1173*w + 1152*w - 624*w.\nAnswer: 2115*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1053, -2105, -3145, -4167, -5165, -6133, -7065, -7955?\nAnswer: -8797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130753589 - -4.\nAnswer: -130753585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (-3 + -3 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/120 + 2*l**5\/15 - 3*l**4\/8 + l**3 + 11*l**2. Determine o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-4)\/98*12383\/183?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(33)*-3)\/(sqrt(75)*-1) + (sqrt(528)\/(sqrt(12) + sqrt(300)) + sqrt(44))\/(sqrt(28)\/(-1*sqrt(7))))**2.\nAnswer: 3971\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*k + 117, 235 = -5*s + 4*k + 50. Let g = s - -24. List the prime factors of (-2)\/9 - 74\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 56*r + 350 = 44*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 224, 338, 452, 566, 680?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let t be h(-5). Suppose u = -2*i - 6, 2*i - 7 = 2*u + t*i. Let v = u - 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*l - 157*l - 16 + 76*l.\nAnswer: -3*l - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-3*36918\/(-54) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/5 + 61*j**2\/5 - 3*j.\nAnswer: -j*(j - 15)*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 5*m + 5. Let z(y) = y**3 - 5*y**2 + 5*y - 3. Suppose 1 = k - 2. Let b be z(k). What is t(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 501860 and 1196.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2*k**7\/21 + 2*k**5\/5 - 2*k**3\/3 + 14*k + 5. Let i(c) be the first derivative of h(c). Factor i(y).\nAnswer: -4*y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177539.97 - 131.8143.\nAnswer: -177671.7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebbbee. Give prob of picking 1 b and 3 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 7 = -y, 4*y = n + 5. Let d(t) = 9*t - 1. What are the prime factors of d(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/7))\/a*a**6\/a)**11*(a**(2\/11)\/a**(1\/2))**23 assuming a is positive.\nAnswer: a**(8795\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from ddddzgzzdzgzzdgdd.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62023, 62024, 62025, 62026, 62027, 62028?\nAnswer: 62029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(117))\/((sqrt(81) - (sqrt(81) + 1*sqrt(81) - sqrt(81)) - sqrt(81))\/sqrt(9)) - (-3 + sqrt(78)\/(sqrt(54)*1))*2.\nAnswer: 6 + 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61762*k + 5*f = -61760*k + 293, -17*k - 5*f = -217 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (16 - (1 + -1)). Let v be (-2)\/(-5) - 54\/b. Let g(l) = -l**3 + 6*l**2 - 5*l - 2. Calculate g(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 9. Let w be a(-7). Solve w*v - 6 - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/32*(-3 - 25\/(-15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/102*81\/(-72)*12\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5 - 10*c**4 + 15*c**3 + 40*c**2 + 20*c = 0. Calculate c.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*q + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n - 36. Let v(b) = b**2 - 8*b + 7. Let r be v(6). Let q be c(r). Let d(l) = -3*l**3 + 4*l**3 - 4 + q*l**2 - 4*l + 0*l**3. Calculate d(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110000101000011 (base 2) in base 14?\nAnswer: 40bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -894\/21695 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 114561998.8 to the nearest ten thousand.\nAnswer: 114560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 + 187. Let p be (-1 - y - 2)*4\/(-30). Sort 1, -0.5, 0.8, p.\nAnswer: -0.5, p, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/209, -13, 1\/2, 1200\/23 in increasing order.\nAnswer: -13, -2\/209, 0.4, 1\/2, 1200\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672309?\nAnswer: 3, 11, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + ((-4)\/(-38) - (-68931)\/6327)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6267 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-1))\/((-2)\/83)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*u**6 - 12*u**3 + 709*u**2 + 534*u**6 - 96*u**6 + 12*u**3 wrt u?\nAnswer: 70680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142660711.\nAnswer: 751, 189961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 1. Let f be k(-7). Let o(z) = 2*z**3 - 17*z**2 - 6*z - 12. Let n be o(9). Let v be (10\/n)\/(2\/f). Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94 and 1610.\nAnswer: 75670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 5:24 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*j + 322*j + 664 = -700 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92253910 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 21. Give i(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224\/18461725 or 1?\nAnswer: 224\/18461725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -234187, -234012, -233537, -232612, -231087, -228812?\n\"Answer: 25*j**3 - 234212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38660 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5460 and 5460.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 6*a**2 - 5*a + 6. Let h be n(-5). Calculate the common denominator of 2\/(-10) - h\/4 and -41\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 347*c**2 + 0 + 36*c**2.\nAnswer: -311*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 61*b - 166. Calculate n(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**6\/360 + m**4\/24 + 11*m**3\/3 + 8. Let r(j) be the third derivative of s(j). What are the prime factors of r(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 9*t**2 - 10*t + 3. Let g be x(-10). Let a(v) = -1 + 2 - 30*v - 3 - g. Is a(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -22\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o**2 + 4*o - 2. Let s be w(1). Let b = -14 - s. Suppose -41 = -b*v + 5*z, 43 = v + 2*v - 4*z. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**3 + 3*x**2 + 27*x - 2?\nAnswer: 36*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -834, -1669, -2504, -3339, -4174, -5009?\n\"Answer: -835*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-18))\/2)\/(1\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220020121 + -102?\nAnswer: -2220021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b + 2\/3*b**3 + 0*b**2 - 87. Let l(f) = 36*f. Let z(r) = 90*r. Let w(p) = -12*l(p) + 5*z(p). Determine w(o(k)).\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -56. Let d(p) = p**2 - 5*p + 3. Let h be d(r). Suppose 0 = -3*u + 2*y + 8, 8*y + 12 = u + 5*y. Which is the closest to -2\/9? (a) u (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3 + 471124*b**2 + 2355704*b + 1884576 = 0?\nAnswer: -4, -1, 117786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*b = -4*h + 105*b - 12, 0 = -h + 4*b - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -0. Let c = 41 + -35. Suppose -c*n + x = -11. Calculate the highest common divisor of 20 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-36)\/81 - (-17034)\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 1. Suppose -6*u = -2*u. Suppose -5*d - 5 + u = 0. Let q(s) = -4*s + 5. Determine d*q(o) - 5*r(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times 2?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k - 3*k**2 + 4*k**2 - 2*k**2. Let p be a(-12). Calculate the highest common divisor of 84 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 33*d + 25*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137877 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: Solve l = -4*k + 5, 13*l = -k + 12*l + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 + 4*m**2 + 3*m**3 + 3*m**2 - 6*m**2 + 1 - 1 + m to t + d*m**4 + z*m**2 + l*m**3 + r*m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000019547402 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300957473?\nAnswer: 19, 43, 368369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-25)*c)*c**(10\/3)*c)**48 assuming c is positive.\nAnswer: c**1456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -249*u + 244*u. What is the remainder when 88 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30, 35, 44, 57?\n\"Answer: 2*d**2 - d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*(m\/((m\/m**(4\/9))\/m))\/m*m))\/m*m)\/m*m*m**18 assuming m is positive.\nAnswer: m**(158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**6\/360 + j**4\/4 - j. Let d(b) be the third derivative of u(b). Let l(k) = -87 + 2*k + k + 176 - 89. Determine l(d(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 178024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 655759, 655758, 655757, 655756, 655755, 655754?\nAnswer: 655753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 354, 501, 612, 675, 678, 609?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -31*w, x + 37 = -2*w + 102. Sort -2, -9, x.\nAnswer: -9, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4534, 9067, 13468, 17671, 21610, 25219, 28432, 31183?\n\"Answer: -11*b**3 + 4610*b - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14571, 28938, 43079, 56988, 70659, 84086, 97263?\nAnswer: 110184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*b - 460 = -4*b, -3*k + 249 = -3*b. Suppose 6*y = 8 + k. Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**3\/3 - 11*h**2\/2 + 123*h - 105. Differentiate s(p) with respect to p.\nAnswer: 2*p - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 - -4143?\nAnswer: 4049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 210 = 2*o. Let a be ((-18)\/14 - -1) + 12340\/o. Let l(f) = 339 - a - 2*f - 168. Calculate l(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(4)\/(sqrt(2) - sqrt(2)*2) + -1*((sqrt(2)*-1)**2 - sqrt(2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, 2, -1 in decreasing order.\nAnswer: 26, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-32))\/((-21)\/(-1400)). Suppose 4*j + 0*j = -40. Let c = i - j. Which is smaller: -41 or c?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4\/6 - 6*o. Let n(x) = -11*x**2. What is a(n(j))?\nAnswer: 242*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 27 + 19 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4689354 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.200337nm?\nAnswer: 0.0000005200337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, e: 3, d: 2, y: 1, p: 3}. Give prob of picking 1 y and 1 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*h**2 - 3*h**2 + 10*h**2 + (2*h - 1 + 1)*(h + 0*h - 2*h) + 929*h**2 - 1767*h**2 + 2*h + 920*h**2.\nAnswer: 111*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 499\/225, 0.7, 1.75?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61156 (base 9) to base 2.\nAnswer: -1001110100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148965835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165736121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -180*(4\/(-12) + (-5)\/(-6)). Calculate the common denominator of -5\/4 and 4 + 115\/d + -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/105 (b) -0.02 (c) -12 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -0.3. Let z = -0.033 + 0.233. Which is the closest to 1\/3? (a) w (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -1. Let j be w\/(-7) + -5 - (-54 - 1). Suppose -17 = -7*k + j. What is the least common multiple of 5 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 5708 - 2881 + 4*v**2 - 2861 - 11*v**2.\nAnswer: v**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 - 46 + 333 - 49 + 397*l.\nAnswer: 397*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93310.\nAnswer: 2, 5, 7, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -28. Let f = 1 + -1. Solve -5*o + 2*p + 25 = 0, 2*o + f*o + n*p = 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7*v + 765 = 0. Suppose -6*k = -k - v. Let z = 19 - k. Calculate the smallest common multiple of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, -7.1, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44978231453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 - l**2 - 11*l. Let d(s) = -6*s**3 + 12*s + 1. Let o(r) = -6*d(r) - 7*n(r). Let z be 9\/(5\/2 - 4). What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + (-4 - -5) - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742 = -d - 154. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, -3, -4 in ascending order.\nAnswer: -12, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39385 - -2126645\/54. Find the common denominator of 33\/16 and h.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 + c + 3. Suppose -2*u - 16 = 3*v, -2*v - v = 3*u + 18. Let m be w(u). Solve 5*l + m = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {t: 1, w: 1, d: 1, o: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11294373 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.48066 + -0.68066. Let m = 4.96 - 5. Let d = 0.26 - m. Which is the third smallest value? (a) v (b) -2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/4)\/((-3)\/36). Let m = 113 + f. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6550, -12468, -18376, -24274, -30162, -36040, -41908?\nAnswer: -47766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o - 13 = -79*o + 3*s, 15 = 3*o - 4*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28, 2, -3\/10, 1\/6, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62250.33 + 60986.7129. Let a = -1263.1 - k. Round a to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**2 + 14*m**2 - 11*m**2 - 12*m**2.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from khhhkhhkhkh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187962?\nAnswer: 2, 3, 31327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.255 + 0.513. Let n = m + 0.042. What is the second smallest value in n, -4, 2, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -318, 6, 4 in descending order.\nAnswer: 6, 4, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13939\/3 + 4647. Let y = 48 - 621\/13. Let d = 19\/26 - y. Sort w, -0.5, -2, d in descending order.\nAnswer: w, d, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1755 and 585.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 7*r - 112. Let p be v(-14). Let d = -360 + p. Solve 2*i - d*i = 32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -447082?\nAnswer: 3\/223541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 258, 391, 524?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861831 at least as big as 1861830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 483106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + 2 + ((sqrt(76)\/sqrt(4) - sqrt(19))**2 - sqrt(19)) + -3 - (2*sqrt(76) + (sqrt(38)\/sqrt(2))**2*6))*-1.\nAnswer: 4*sqrt(19) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -27*w**8\/56 - w**6\/30 + 653*w**4\/24 + 2628*w**2. Find the second derivative of v(f) wrt f.\nAnswer: -3240*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-3)\/(-2))\/(-1). Suppose i - 5*r = 16, i - 3*r = d*i + 7. Let m be (-6)\/60 - (1967\/280 - 7). Is i <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -12*h + 89. Let w = h - -19. Suppose j - 191 = -4*a + 89, -2*a + 122 = -w*j. Is 46 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15994213957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/539382 and 31\/14.\nAnswer: 3775674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = -4*g. Let y be (g\/3)\/(11\/(-66)). Solve -3*k + y - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/9 - 230*w**3 - 1386*w**2 - 2082*w.\nAnswer: 2*w*(w - 1041)*(w + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -37 - ((-10032)\/133 - -27). What is n in -12\/7*n**2 - 2\/7*n**3 + 72\/7*n - u = 0?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-4)\/(-2)) + -1. Suppose -2*d - 2 - 14 = b. What are the prime factors of (-92)\/d - (-2)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 - 2*f**2 + 6241*f + 6218*f - 12457*f + 2452 in the form m + h*f + r*f**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Suppose f + 2 = 3*k + 19, -26 = -l*f + 2*k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4576533070 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.865 + -0.035. Let d = 19 + x. Let i = d + -3.1000017. What is i rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 277 and -29?\nAnswer: -8033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2498 - -2683. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 80*n - 6*n = 0. Let w(k) be the first derivative of 0*k**2 + 4\/5*k**5 + 1\/3*k**3 + 14 + n*k + 0*k**4. Find the third derivative of w(x) wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(13244\/66) - (-1)\/(70\/(-2255)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 28. Let q be (330\/(-24) - -16)\/(6\/32). Calculate the highest common factor of q and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-9) + (-2)\/3. Suppose 4*b - 7 = v, v - f - 23 = -5*b. What is the highest common factor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087, 2176, 3265?\nAnswer: 4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-328)\/738.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -75, -7.637?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(14\/(-61)) - (-2)\/7. Suppose -5*m = -2*m - 2*y - 207, 0 = 3*y - s. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 11 + 20 + 54 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-1)\/(-1))*216\/(-432).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 963293*q - 963290*q + 3*c - 15, -5*c = -3*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -50. Let r(m) = -12*m**2 + 38*m**2 + q + 3 - 6*m**2. Let n(y) = y. Calculate r(n(u)).\nAnswer: 20*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19446 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 113. Suppose b*x - 5*d = 577, 2*d = -5*x + 4*d + 1390. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 18943217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 136*y**2 - 111*y - 3. Let x(c) = -69*c**2 + 67*c + 1. Determine -3*w(g) - 5*x(g).\nAnswer: -63*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -149*m**2 + 1376*m - 308. Calculate n(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, o: 2}. What is prob of picking 1 o and 2 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 1*-5*-6*(-3 + sqrt(684))*6))**2.\nAnswer: -1177200*sqrt(19) + 22458625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 125. Let d(q) = -5*q - 130. Let n(m) = 4*d(m) - 3*u(m). Determine n(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 0, -8, -15.2, 6, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 862 + -4?\nAnswer: 85d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/36 - 32\/(-18). Suppose s + r*s = -2*f + 1209, 0 = -2*s - 3*f + 801. Suppose 6*i = i + s. Calculate the greatest common divisor of i and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 96 = -3*t - 3*u, 5*u + 24 = t. Suppose -3*c = 3*a + t, c - 2*c - 2*a - 10 = 0. What are the prime factors of -4 - c - -2*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1520 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -44. Suppose -2*x - 3*i + 302 = -2*i, -l*i - 612 = -4*x. What is the highest common factor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s**(-9)\/s)))*s\/(s\/(s*s*(((s**(-2\/21)\/s)\/s*s)\/s)\/s*s))*s*s**(13\/5)\/(s**(1\/18)*s) assuming s is positive.\nAnswer: s**(8473\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 361 + 299. Let f = x + -365. List the prime factors of f.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213303010 (base 4) in base 10?\nAnswer: 163012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -53*j - 318. Let y be u(-6). Suppose -4 + 1 = -z. Solve -o - z*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 26388?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 2860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - -154. Let w = u + -189.0000273. Round w to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2230.475 + -2230.775. Let p = 3.96 - -0.04. Let a = -0.3 - 0.7. Put -0.2, g, a, p in decreasing order.\nAnswer: p, -0.2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(7 - 4\/1). Let d be (-4)\/18 + (-152)\/(-36). Let -23\/3*z**3 + 8*z**2 - m + z - 14*z**d = 0. What is z?\nAnswer: -1, -1\/3, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*f + 12, 3*f = -p + 2*f + 14. Suppose 5*j + 9 = -2*q + 68, 3*q + j - 56 = 0. Calculate the remainder when q is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -17. Calculate the highest common factor of 36 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2*b + b)*(1 - 1 - b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 - 50*w - 41. Determine n(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -741 - -851. What is the first derivative of -o + 21*n**4 - 34*n**4 - 12*n - 24*n**4 + 23*n - 10*n wrt n?\nAnswer: -148*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83478109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z + 95 = 62*z - 97*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t**2 - t + 1. Calculate d(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (6 + -3 + (-2 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(156*w**2 - w + 16*w**3 - 156*w**2).\nAnswer: -32*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -y - 22, -4*s = -4*y - 185 + 217 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {c: 1, m: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 (base 10) in base 13?\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52963985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72115, 143606, 215095, 286582?\nAnswer: 358067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 64 - 61 + 89 + 36.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-25)\/(-4)))\/((-1)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 514 + 457 = 915 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*g + u + 27, -3*g = 4*u + 19. Let w(q) = -q + 1. Let m(h) = 6*h - 6. Let c(v) = 2*m(v) + 11*w(v). What is c(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237525, -237598, -237671, -237744, -237817?\nAnswer: -237890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 26 = 5*y, 4*g - 13 = -4*y + 3. Is 1 + (-26)\/((1\/4)\/g) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*n**2 - 39*n**2 - 3 - 41*n**2 + 2*n as p*n**2 + y + d*n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 2968924.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 - 6746*r**2\/3 + 27008*r\/3 - 27016\/3 = 0. What is r?\nAnswer: -3377, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -112468.9 and 0.27.\nAnswer: -30366.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = f. Let i be (-11)\/40 + f\/(-10). Let a be (52\/(-20) - -2)\/((-6)\/(-4)). What is the smallest value in 0, i, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0\/4 - 0)\/(-2))\/(-2). What is the hundreds digit of 8 + 393 + (f - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211497 divided by 70499.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 8. Suppose -111 = -h*m - 3*p + p, -5*m + 96 = -3*p. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65649573 divided by -21883191\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1539 - 2598*z + 1533 - 3072)*(-5 + 2 + 4) to the form o + y*z and give y.\nAnswer: -2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.09 - -1.42. Let q = a - -0.57. What is the smallest value in q, -0.5, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (4*sqrt(209)*2)\/(sqrt(33)\/sqrt(3)*-5) + -4)**2.\nAnswer: -32*sqrt(19)\/5 + 1316\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 3826593 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.857, -5, 38?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -42*q. Let t(u) = -u + 1. Let k be t(2). Let s(o) = 3*o - 17. Let n(h) = 7*h - 34. Let c(p) = n(p) - 2*s(p). Give k*z(b) - 35*c(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -61\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (22 - -6) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 21*d**5\/10 - d**4\/3 - d**3\/6 - 40*d**2. What is the hundreds digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83163944 by 197.\nAnswer: 422152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3894115 at most as big as -3894080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let l(q) = -2*q. Calculate l(o) - 3*x(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -228\/23?\nAnswer: -228\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1, 0.1, -2\/7, -44090\/3?\nAnswer: -44090\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z. Let o be p(-2). Let c be (-21)\/o*(-16)\/(-3). Suppose -c = -h - 1. What is the remainder when 19 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/3 + -1)*(504\/(-80) + 6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(0 - 118) + (-8)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4232394089, 4232394090, 4232394091, 4232394092?\nAnswer: 4232394093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.22 + -1.78. Let k be (-3)\/14 + 4\/(-14). Which is the closest to -1? (a) j (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 109065\nAnswer: 327195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 26 + 20 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -225b8 - 20?\nAnswer: -22618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 0.06, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z**2 + 12*z - 24*z**4 + 366*z**5 - 177*z**5 - 27*z**3 - 174*z**5 = 0 for z.\nAnswer: -1, -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - (5 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d - 5. Let t(z) = 3*z - 2. Let f(y) = 4*r(y) - 10*t(y). Let g be f(-1). Determine m so that 4 - 4 + 5*m**3 - g*m**2 - 5*m + 2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + i + i - 3*i - i + 6*i + (0*i - 3*i + i)*(1 - 3 + 0) - 2*i + 3 - 3)*(2*i - 3 + 3)*(2 - 2 - 2*i) in the form t*i**2 + b*i**3 + c + s*i and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 5952.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157360 - 0?\nAnswer: -157360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 - 3*h**2 - 13. Let u(d) = -15*d**3 - 11*d**2 - 52. Give 22*l(r) - 6*u(r).\nAnswer: 2*r**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-42)\/(-12))\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361505 divided by 210.\nAnswer: -72301\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 96 = -4*h - 100, h + 10 = -5*c. Suppose -3*m + 5*i + 1150 = h, 5*i + 301 = m - 79. List the prime factors of m.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3844*x**3 + 1273*x**3 + 1283*x**3 + 1286*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 10*n + 9. Determine d(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*h - 12 = 0, -9 = 3*i - 8*i + 3*h. Let s = 3 - i. Let j = 34 + -32. Which is bigger: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 1. Let n(p) = -12 - p**2 + 2 - 9*p + 1. Let o(l) = -2*n(l) + 18*w(l). Let v(t) be the second derivative of t**3\/2 - 18*t. Determine v(o(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1680 and 4?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 5*d - 3*d)*(-2*d**3 + 4*d**3 - d**3) + (-1 + 2 - 2 + (1 + 0 + 0)*(2 - 3 + 3))*(d**4 + 0*d + 0*d).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6*(-12)\/(-9). Suppose -o = -4*z + 6, -w*o + o + 2*z = -2. Suppose o + 2 = 3*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, f: 1, x: 2, o: 1, v: 2, b: 1}. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 18*y + 43. Let l be b(-7). Let g = -39 + l. Round g to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3332 - -3332. Which is the third smallest value? (a) -2 (b) 0.2 (c) 1 (d) v (e) -0.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - 12*i + 4. Let c(x) = -5*x**2 - 12*x + 5. Let f(d) = 5*c(d) - 4*o(d). Determine f(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -2551*n**3\/3 - 4*n - 5. Let r be w(-14). Round r to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 49368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16519 * -3\nAnswer: -49557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13120\/4592*((3 - 2) + 6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyy when three letters picked without replacement from {y: 10, e: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpzz when four letters picked without replacement from {z: 3, p: 2, l: 8, s: 5, a: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -871*n**3 - 1742*n**2 + 3484*n - 1742. Let r(l) = -l**3 - l**2 + 2*l - 1. Determine 3*g(t) - 5226*r(t).\nAnswer: 2613*t**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-155)*9\/(-9)*2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 4:49 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29595041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.194197 + 2.\nAnswer: 1.805803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i - 62*i = -1010 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2246103 (base 8) to base 14\nAnswer: 11c0cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(9)\/sqrt(3)) - (sqrt(51)\/sqrt(3) + -1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4376, -18.\nAnswer: -4376, -18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -362644 (base 8) to base 12.\nAnswer: -5bb44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 727*q**3 - 238*q**3 - 232*q**3 - 233*q**3.\nAnswer: 24*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -773 + 773.03. Is v greater than or equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6) + (98 - 76470\/735).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let s be -1 - (-1)\/(-6) - -1. Let o = -1117.87 - -1122.87. Which is the second smallest value? (a) u (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2209*k**3 - 12*k**2 - 26*k + 14 wrt k?\nAnswer: 13254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/(-3744)*(192\/102)\/8?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-4 - (15\/9 + -1)). Calculate the lowest common multiple of -2*(0 + -1) - (0 + b) and 231.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8269438.\nAnswer: 2, 4134719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -466 in 2\/13, -23, 5, -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d - d)*(-87 + 28 - 89).\nAnswer: 148*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/21 (b) -5 (c) 3 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b1a9 (base 13) to base 9.\nAnswer: -80668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 1121 = 1030 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 5. Calculate the lowest common multiple of 12 and y(6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3868, 3860, 3838, 3796, 3728?\n\"Answer: -l**3 - l**2 + 2*l + 3868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 65*f - 61*f + 10, -3*o - 11 = 4*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 5) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**7\/21 + 1051*g**5\/20 + 256*g**4\/3 - 2*g - 806. Find the third derivative of c(j) wrt j.\nAnswer: 120*j**2 + 6306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001112021212 (base 3) to base 9\nAnswer: 1045255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*z - 29*z + 196*z.\nAnswer: 257*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 216 + -211. Let j = -3 - 0. Calculate the remainder when c is divided by -2*(-1)\/(-2)*j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.208749 nanoseconds to hours.\nAnswer: 0.0000000000142246525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 417 = -2163. Suppose 0 = 4*o + 4*d + 20, -2*d - 1 = o + 2. Is (l\/o - (-11 + 13))*7 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643\/6 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 2*g**2 + g. Let s be z(3). Let b be ((-3)\/2)\/((-36)\/s). Suppose -b*y + 4*y = 2. Calculate the least common multiple of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004125 to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/8 - 703*u**4\/4 + 2313*u**3\/8 + 5163*u**2\/4 - 6077*u\/2 + 1401 = 0.\nAnswer: -3, 2\/3, 2, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/30 + z**4\/8 + z**3\/2 + 9*z**2. Let t(f) = 3*f**2 + 4*f + 4. Give 3*t(b) - 4*y(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 70043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Let v(l) = l + 4. Let z be v(f). Let u be (-10 + z)*(-4)\/3. Solve -k + 5 = u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 64*f**2 + 51*f + 15. What is i(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 6*w - 1. Let h be p(-5). Suppose 0 = x - h*x. Suppose 0 = -4*r + l + 30, 4*l - 48 = -5*r - x*l. Solve -y - r = g + g, -5 = 4*y - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:04 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let k(r) be the third derivative of -4*r**5\/15 + 11*r**3\/6 + 42*r**2 + 5*r. What is k(m(w))?\nAnswer: -64*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15b55a8 (base 13) to base 9.\nAnswer: 14163086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwzwwwwww.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**3 - 5*x**2 - 8. Let n(l) = -3*l**3 - 6*l**2 - 8. Let m(g) = -6*b(g) + 5*n(g). Find the first derivative of m(o) wrt o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308639415 and 5221.\nAnswer: 5221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35069123.\nAnswer: 43, 137, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.295758916 to 2 dps.\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l - 89. What is p(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by 134.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/28611?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewv when three letters picked without replacement from {f: 2, v: 1, w: 7, e: 4}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -68. What is the closest to -0.1 in -3\/8, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) + 84\/(-8). Let m = -4 - i. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-24) - 19\/8. Let t(o) = 2*o - 16. Let j be t(8). Let f be j + -1 - (-13)\/(-52). Is r at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-6)))\/l)**(-34\/5)*(l*l**3)**41 assuming l is positive.\nAnswer: l**(1058\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9 = -w. Suppose -8 = -w*g + 1. What is the units digit of g - (-3 + 1) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2650 or 2652?\nAnswer: 2650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(204) - (sqrt(204)*-1*5 + sqrt(204))))\/(sqrt(84)\/(-1*sqrt(7))*3).\nAnswer: 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000081147 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23010 and 4323.\nAnswer: 33157410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akk when three letters picked without replacement from kaxaaxaxakaa.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2 + 3*i + 1 - 5. Let k(s) = -s + 14. Let h be k(8). What are the prime factors of a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 760 divided by -76\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 9\/455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 33*m - 28224 = -12*m. Let n be 2\/(-2) - 3\/(-3). Suppose n = -12*c + m - 28. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1048 and 0.12.\nAnswer: 125.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = -5*a, -3*z - 69 + 72 = 3*a. Solve -3*n - 4*g = -13 - z, 5*n + 1 = -g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i + 34 + i**2 + 0*i**2 - 16*i. Let a be k(28). Suppose -34 - 59 = -3*d. Calculate the highest common factor of a and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -50. What is the third biggest value in 0.3, -0.5, 5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 4:44 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*t - 357*t - 354*t + 1090*t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 30773 + 24609 = 79292. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 33. Suppose 4*h - x - 24 = u, -2*h + 0*x + 6 = -2*x. Sort 3, h, -3.\nAnswer: -3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/9 + 12464114*j\/9 + 12464116\/9 = 0 for j.\nAnswer: -1, 6232058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*a - 56. Which is bigger: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*u**4 + 12*u**3 + 6*u**3 - 27*u**3 to the form p*u + t*u**4 + k*u**2 + z*u**3 + f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + h**2 + 0*h**2)*(4 - 2 - 1)*(8 - 3 + 6) in the form w*h + z + g*h**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -13477777?\nAnswer: -13477776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -33 + 9. Let p(q) = 14*q**2 - 2*q - 1. Let t be p(-1). Let w = k + t. Solve 0 = 4*g + w + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 2034. Let a(s) = s**2 - s - 1. Give 2*a(c) - o(c).\nAnswer: -3*c**2 - 2*c + 2032","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/5 + 16*b**4\/5 + 63*b**3\/5 - 16*b**2\/5 - 64*b\/5.\nAnswer: b*(b - 1)*(b + 1)*(b + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1331*x + 1331*x + 174*x**2 + 2*x**2 - x**2 - 4*x**2 + (4 + x - 4)*(-x - x + x) + 2*x**2 + 0*x**2 + 0*x**2 + 6*x**2 - 5*x**2 - 3*x**2.\nAnswer: 170*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 26. Let q be j(-7). Suppose 4*f - 4 = q*f. Let s(n) = -n**3 - 5*n**2 - 3*n - 1. Calculate s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8901888 = -4*w + 20*w. List the prime factors of w\/469 - (-4)\/(-14).\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -12 - 11\/2*x**2 - 65*x. Is f(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/111)*w)**17 assuming w is positive.\nAnswer: w**(1853\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i, -5*i = -u - 2*u + 21. Is (-2)\/u - (-522)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*1\/1)\/1. Suppose -i + 2*v + 41 = b*v, v - 50 = -i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306720 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-34)\/6 + 3)*108\/441.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 5, -10, -0.8, -1\/14, -0.05, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -3 + (10 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.053 + -0.053. Suppose 39 = 11*r - 5. What is the third smallest value in s, r, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -59. Suppose 3*k = 6*k - a*c - 29, -4*k + c + 42 = 0. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 1, n: 1, o: 3, f: 3, q: 1}. What is prob of sequence nfo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 690195559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 = -6. Suppose k + 37 = -5. Let t = k - -44. Solve -5*s + y*v = -v - 10, 0 = t*s - 2*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 4 - 1 - 2*x + 4 - 2*x**2. Let k(r) = 2*r + 2. Let h(p) = -p - 8. Let g be h(-6). Let u be k(g). Determine b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*5*2\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 32. Differentiate -17 + 59*k + 70 + 18 + m*k wrt k.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*i**2 - 29*i**2 - 94*i**2 - 31*i**2 - 32*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156825728 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1574763629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**3 + 1104*m**3 + 2*m - 4*m - 164*m**3.\nAnswer: 975*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1323875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 = 6*z + 113. Find the third derivative of z*v**4 + 0*v**2 - 4*v**2 - v**2 - 34*v**4 wrt v.\nAnswer: 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426.8054 rounded to the nearest ten?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8152 = -24*o + 13928. Calculate the highest common divisor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 20*w - 5. Let q(s) = s**2 + 10*s - 2. Let m be -10 + (22 - 7) + -10. Calculate m*q(i) + 2*h(i).\nAnswer: i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 1\/4, 0.5, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/5 - 11*c**3 - 192*c**2 + 4732*c - 68992\/5 = 0.\nAnswer: -22, 7\/2, 14, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 19*x**2 - 135*x - 1729. Let m be y(-17). Put 1, m, 7 in ascending order.\nAnswer: m, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -3)**2*4 - (-3 + -5*sqrt(11)).\nAnswer: -19*sqrt(11) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7636*h**4 - 18583*h wrt h.\nAnswer: -91632*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2847 by -25910.\nAnswer: -2847\/25910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.249 * 18\nAnswer: 4.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 32*r = -18*r + 1200. What is the highest common factor of r and 822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 110 = 2*z, -368 = -4*m - 2*z + 78. What is the greatest common factor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 37 + 51. Let u = k - 15. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -1, 3, 9, 17?\n\"Answer: y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Let d(w) be the second derivative of -13*w**3\/6 - 4*w**2 + 4*w - 3. What is y(d(z))?\nAnswer: -26*z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfxzzfxxxjf. What is prob of picking 1 f, 1 j, 1 x, and 1 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1799532 and -71\/30.\nAnswer: 8997660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5526, 13531, 26876, 45561, 69586, 98951?\n\"Answer: 2670*k**2 - 5*k + 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-350)\/(-20))\/((-10)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4\/68*14)\/((-280)\/4760).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39212*f - 117654*f + 39218*f + 39218*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -110. What is the nearest to -9 in -0.5, o, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*i = -x, -5*x + 12 = -i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7027 to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736464 divided by -92058.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92120.51l in millilitres?\nAnswer: 92120510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3475836 and 18900.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227.2 + 10093.2. Let y = -9918.952 + g. Let h = -53 - y. Round h to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -70265*c + 562122. What is p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171))**2*-6 + (2*sqrt(684)*5)**2.\nAnswer: 59166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7473828, 7473797, 7473766, 7473735, 7473704, 7473673?\n\"Answer: -31*c + 7473859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*h + 33346 = -360*h - 15199 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 8. Suppose o*w - 7 = -43. Is (-6 + 784\/(-21))*w\/5 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10*f**2 + f + 5. Let v(y) = y**2 + 1. Suppose 0 = -3*l - 266*d + 271*d + 43, 0 = 4*l + 4*d - 4. Determine l*v(x) - u(x).\nAnswer: -4*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9852 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*m**2 - 523*m**2 - 121*m**2 to h*m**2 + l*m + t and give h.\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 616195648 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 3*s**2. Determine g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-7.577\nAnswer: -3.7885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1215 + -1207\/4860. What is the closest to c in -814, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 3*r + 5*r)*(-4*r + 3*r - 2*r) + ((0 + 2 + 0)*(r - 3*r - 3*r) + 2 - 2 + r)*(5*r + r - 4*r) in the form u + m*r + p*r**2 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 307650274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 71. Let n = -1475.93 + 1476. What is the closest to z in -3, 2, 3\/7, n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2) + 5 - (0 + 2). Let f be -3 - (-4 + q\/1). Suppose 205 = 4*v - 5*d - 144, 3*v + d - 276 = f. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxoooxoo. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -3*sqrt(171)*1 - sqrt(171) - (-2*sqrt(171)*-4 - sqrt(171)))\/(sqrt(900) - (sqrt(900) + sqrt(900)*-3 + sqrt(900))*4).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -14*u**3 - 26*u**2 + 62*u + 25. Determine t(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653547 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 3*p + 1. Let j be c(2). Suppose -3*s - 21 = -j*r - 2*s, -2*s - 36 = -5*r. Let z = -354 + 353. Sort r, 2, 3, z in ascending order.\nAnswer: z, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 17520896.\nAnswer: 87604480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2299 - -3?\nAnswer: 22a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.2 (b) 0.432 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -1763, -3972, -7065, -11042, -15903, -21648?\nAnswer: -28277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -5. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2050 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-3)\/(((-66)\/(-80))\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4930446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f + 7*f = -56. Suppose p - 4*u - 1 = -f*u, 8 = 2*p - u. Solve -2*n = -3*n + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d + 3. Let a = 4431 + -4428. Calculate t(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/44)\/(57\/28 - 2). Suppose -c + 17 + g = a, 2*c = -3*a + 90. Are a and 139\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(7*k - 4*k - 2*k) - k + 2*k + k + 19*k + 148 - 148)*(-2*k**2 + 2*k**2 - 2*k**2)*(4 - 6 - 14).\nAnswer: 640*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 + 111474328*m**3 - 50011412*m**2 + 2*m.\nAnswer: -240*m**3 + 668845968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -531900 to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -21. Let f(r) be the second derivative of v + 3*r - 3\/2*r**2 - 1\/6*r**3. What is the first derivative of f(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggss when four letters picked without replacement from gnnnsgnsngnsnnsng.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -53. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -166, -253, -408, -625, -898, -1221, -1588?\n\"Answer: w**3 - 40*w**2 + 26*w - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996838?\nAnswer: 2, 3, 13, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 1, b: 6, o: 2, w: 1, n: 3}. Give prob of picking 1 z and 3 b.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.958795 + -415.873173. Let a = -487.83196606 - g. Let n = a + 57. What is n rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*d = -40, -4*d + d = 2*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -13*b**4\/12 - b**3\/2 + 3*b**2. Let o(l) = -27*l - 4. Let z(p) = 3*g(p) - 4*o(p). Does 10 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/54522 and -65\/8?\nAnswer: 218088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 12*d**2 - 5. Give i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 11*s + 7. Let i be 2\/s - 26\/(-10). Factor -9\/5*k + 6\/5*k**2 + i + 3\/5*k**5 + 6\/5*k**3 - 9\/5*k**4.\nAnswer: 3*(k - 1)**4*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -3795854539?\nAnswer: -3795854536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*b - 29 - 206 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4972000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/8 - 13717*p\/8 - 321245\/4.\nAnswer: -(p + 47)*(p + 13670)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express -24*w - 19 + 65 + 26*w + 30 in the form a*w + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*k**4 + 2*k**2 - 12 wrt k?\nAnswer: -720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + -6. Let b = 15 + f. Let y = 2 - b. What is the biggest value in 5, y, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rui when three letters picked without replacement from itrjubj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158d5 (base 15) in base 16?\nAnswer: 10f7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4447, -8897, -13337, -17761, -22163, -26537, -30877?\nAnswer: -35177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(900)*1) + ((sqrt(5) - -1*sqrt(5))*1)**2 + sqrt(5)*-2*-3.\nAnswer: 61*sqrt(5)\/10 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002112010 (base 3) to base 7.\nAnswer: -116514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 136, 206, 276, 346?\n\"Answer: 70*m + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3265748 and 91\/8.\nAnswer: 6531496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79982670 divided by -3.\nAnswer: -26660890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608730647.\nAnswer: 3, 31, 1637, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -5 + sqrt(468))**2 - sqrt(52)\/(-2*sqrt(144))) + -4.\nAnswer: -1295*sqrt(13)\/12 + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*o + 85 = -27, -105 = -5*m - 5*o. Suppose -4*c = c - m. What is the tens digit of 6\/15 + 68\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - (3 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - n**5 - 3*n**5 + (0*n**4 - 3*n**4 + 7*n**4)*(29861 - 29861 - 69*n).\nAnswer: -278*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 265596606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(2) + (-4 + sqrt(50))**2)*-1.\nAnswer: -66 + 38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*x = -136. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 25*b + 17. What are the prime factors of d(-7)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -1\/12*a**4 + 2*a + 0 + 1\/6*a**3 + 7\/2*a**2. What is the units digit of l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38145.\nAnswer: 3, 5, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2142.67, -1, 4 in increasing order.\nAnswer: -1, 4, 2142.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3966485 and 130?\nAnswer: 103128610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4985, 9519, 14039, 18539, 23013, 27455?\n\"Answer: -p**3 - p**2 + 4544*p + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -840, -1269, -1704, -2145, -2592?\nAnswer: -3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004032 to 4 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 235 and 69795.\nAnswer: 69795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*j - 206, g + 5*j + 44 + 10 = 0. Let d = g + 105. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 30*d**3 + 412623*d**2 + 15267132*d + 1522587 = 0.\nAnswer: -13717, -37, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1444.\nAnswer: 5\/1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 12)*(0 - 3 + 1)*(-6*w**3 + 5*w**3 - w**3).\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3680 and 430790?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**2\/2 + 1. Let u(o) = -58*o**2 - 25*o - 17. Let z(y) = 19*y**2 + 9*y + 6. Let w(s) = 6*u(s) + 17*z(s). Determine w(m(k)).\nAnswer: -25*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3, 4*f - 5*l + 71 = -72. Let p = 596 - f. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 + 42*y**2 + 14*y**2 - 64*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:17 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22522, 22519, 22518, 22519, 22522?\nAnswer: 22527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from xgxxxsgxsxx?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/12 + (-4)\/8)*-24. Solve 225*n = 227*n + x for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 912.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j**(2\/21)\/j))**(-34) assuming j is positive.\nAnswer: j**(-1360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-7) + 13\/(52\/(-28)). What is the nearest to 2\/5 in 17, 3\/5, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1923 + -947. Does 99 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from xhxxhhxohxz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 6137e03?\nAnswer: 6137dee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -790717372\nAnswer: 790717372.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + -1*(-5 + (sqrt(4455) - -2*sqrt(4455))\/(sqrt(33)\/(-2*sqrt(3))))).\nAnswer: -270*sqrt(5) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, q: 4, m: 1, r: 4}. Give prob of picking 1 r and 1 q.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709944759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + 0.04. Let j = -2 - -5. Which is the smallest value? (a) -4 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**2 - 17*a + 882. Determine i(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -17 + (28 - 7) + 72.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549768.\nAnswer: 2, 3, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 5)*2 - 23. Let y = -29 - z. List the prime factors of ((-140)\/y)\/(-7)*-6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - -111*(-80)\/984. Is s less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4 - 238*w**3\/3 - 1554*w + 4402. Differentiate n(f) with respect to f.\nAnswer: -12*f**2 - 476*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:25 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 - 747\/(-1855). Let m = -3319\/7420 - y. Find the common denominator of m and -25\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66271469451685 from 0.\nAnswer: 66271469451685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + y + 0 = -2, 4 = -4*f - 2*y. Suppose f = 15*g - 14*g - 90. Suppose 4*w - 2*w - 38 = -5*p, 0 = -4*w - 3*p + g. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 32. Solve t + 4 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30555 minus 2.1?\nAnswer: -1.79445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -10\/3, 0.14, -8?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3602 = -90*o - 46*o + 2110. Calculate the highest common divisor of 266 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**2\/2 + d + 3. Let k be x(1). Is (9\/k)\/(6\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15199057+5\nAnswer: -15199052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 3730*w\/7 - 900600\/7.\nAnswer: -2*(w + 285)*(w + 1580)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 1, l: 4, s: 1}. Give prob of picking 1 a, 1 s, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*l = -13, -4*l = 4*f - 7*f - 6. Let j = 11 + -7. Suppose -a = n + f, -3*a = -8*a - j*n - 13. Sort -4, 1, a.\nAnswer: a, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 70, 7\/5, -4, 0.1, 3?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 0.05. Let t = d + -0.06. Let y = 1.05 + t. What is the closest to y in 2, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2282*j**3 + 103*j - 3. Let c(m) = 1141*m**3 - 54*m + 2. Let k(t) = 5*c(t) + 2*o(t). Find the second derivative of k(n) wrt n.\nAnswer: 6846*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4290, 8699, 13098, 17481, 21842, 26175?\n\"Answer: -i**3 + i**2 + 4413*i - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2045 = -3*c + 2033, -5*c + 8*t - 54 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + q)*(-4*q + 5*q + q) + q**2 + 4 - 4 + (q**2 - q + q)*(4 - 2 - 1) + 2*q**2 - 3*q**2 + 2*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -61, -138, -245, -382, -549?\n\"Answer: -15*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0122594 + 4.\nAnswer: 3.9877406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 139651484 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2612448309 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.461 and -1648?\nAnswer: 1653.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/2*(1\/6 + 0). Let d be (-10)\/15 - (-56)\/12. Suppose 5*j + 5*k - 4 = 6, -2*j + 2*k - d = 0. What is the nearest to j in -1.7, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-3)\/((-9)\/3). Let c = 88 - 63. Suppose a = -2*t - 8, -2*t - 16 = 3*a + 2*a. Sort a, c, i in descending order.\nAnswer: c, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5*m = 0. Suppose -2*b + 5*b - 186 = m. Suppose 7*n - 2*n + 2*w = 344, -n + 3*w = -b. What is the least common multiple of n and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:29 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) 2\/9 (c) -4\/11 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 588\/9 - 3\/9. Let m = -40 + x. Suppose -4*c - 1 = -m. Solve c*k = 3*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 29. Let m = -19 + t. Let a = -0.32 - -0.3. What is the smallest value in a, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 72. What is the remainder when w(-30) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/2)*o))\/o*o*o*o**(-22)*o**(-1\/2)*o**(-14\/5)*o assuming o is positive.\nAnswer: o**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/1652 + 323\/2478. What is the common denominator of c and -107\/132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4443 and 27.\nAnswer: 39987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368025?\nAnswer: 5, 54721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21204330*z**3 + 11030958*z**2?\nAnswer: 127225980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230259 is divided by 107.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b + 5. Suppose -4*t + 13 = m, 4*m - t - 6 = -5. Let j be -6 - (-2 - (-1 + m)). Is 7 a factor of g(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 135, 191, 245, 297?\n\"Answer: -m**2 + 61*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 615, 601, 587?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 5825213972 - 5825213972.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 12*l**2 + l - 12. Let q be y(-12). Let f be (-6 + q\/(-1))*2\/6. Suppose 3*v - 5 = -t, 4*v - t + f = 4*t. Sort 9, -4, v in ascending order.\nAnswer: -4, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159946 - 9*v**2 + 319843 - 159897.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 0. Suppose -10 = -2*k - l. Suppose -2*x - 8 = -k*d + 28, 2*x - 62 = -4*d. Calculate the lowest common multiple of d and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18710.219943 + 18709. Let l = -1.22 - h. Round l to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**7\/168 + c**6\/360 - c**4\/24 + 7*c**3\/3 + 4. Let d(r) be the third derivative of g(r). Calculate d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 198*z + 4362. Determine y(-58).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -81618667?\nAnswer: -897805337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3732 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.2 (c) -3 (d) 2648\/35 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7367 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-7)\/882). Suppose 4*y - 3*n + 7*n + 60 = 0, -5*y - 2*n - u = 0. Let c = y - -9. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*h + 9926 - 39737 = 14059. What is the highest common factor of 2091 and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 5. Let n be (-1)\/(3\/(-3))*2. Suppose -4 = -3*a + 4*l, -3 = -5*a + n*l - 1. What is the remainder when q(a) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 4352.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 3*b - b - 4*b + 5*b - 2*b + (3*b + 0*b - 4*b)*(-1 + 1 + 2) to the form z*b + k and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:53 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 5*j**2 + 2. Let t be k(-5). What is the third derivative of -8*c**4 - 6*c**4 - 5*c**2 + 24*c**t + 0*c**4 wrt c?\nAnswer: -336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72929901 divided by -24309967.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from xaearaearw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1664523736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -15*q - 10. Is 21 a factor of -3*10\/q - -37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 14. Let r be a(-17). Suppose 812 = 5*k - k - 5*d, -r*d = 5*k - 1052. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 116582516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -15, -69, 4\/175, -3\/98, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 11*j - 6. Let l be o(8). Let s be l\/8 + (-6)\/(-8). What are the prime factors of (-3)\/(1*s\/(-214 - 2))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -97*z + 47*z + 49*z - 13. Let t be j(-13). Let h be (-5 - -4)*-2 - (-1 + t). Solve 4*l = -h*u + 13, 0 = -3*u - 6 + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*r = 10, -485541*r + 485543*r + 25 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 303621 = z + 4*h, z - 5*h - 60741 = 0. Suppose 0 = -6*m - 35*m + z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 147\/4. Let o = 11.8 - 7.8. Let r = -10.9 - -11. Which is the closest to r? (a) o (b) 3\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) -1 (d) -4 (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -1a719?\nAnswer: 1a710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1073\/17 + 63. Let o = -311 + 306. What is the nearest to h in -3, 3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q**2 + 3\/7*q + 0 - 3\/7*q**3 = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/126*43\/((-2150)\/(-240)))\/(5\/3)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2918171, -5836338, -8754505?\n\"Answer: -2918167*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4028159 is divided by 3147.\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1937 - 2044. Put 0, -5, b, 4 in increasing order.\nAnswer: b, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 6:57 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89471937 to the nearest integer?\nAnswer: 9459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.3 (b) -0.7 (c) 15 (d) 683\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 21*h + 38. Let l be k(-19). Suppose 13*z - 8*z - 530 = l. Suppose z*r - 40 = 105*r. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131896*l*r**3 + 2*l*r + 2*l + 2056*r + 1 wrt r?\nAnswer: 791376*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 258875 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooouprozrfozzruuu. Give prob of sequence rz.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086.2391 to the nearest ten.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -19*s**6\/6 - 9*s**5 + 115*s**4\/12 + 30*s**3 - 10*s**2 - 2*s - 1335. What is z in q(z) = 0?\nAnswer: -2, -1, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 394 - f + 121 + 116)*(0 + 1 + 1) in the form v + a*f and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + -5 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 1:27 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 963, 962, 961, 960?\n\"Answer: -y + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549070, 549074, 549078, 549082, 549086, 549090?\nAnswer: 549094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 14*t + 15. Let y be x(6). Differentiate -4*s**y - 5 - 17 - 1 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.35 (b) 5 (c) 2\/107 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -365116305 divided by 121705435\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 5*y**2 + 3*y**2 - 36*y + 34.\nAnswer: 2*(y - 17)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*((k\/k**6)\/k)\/k*k*(k*(k**(-7\/4)*k)\/k)\/k*k**(-1\/13))**(1\/7) assuming k is positive.\nAnswer: k**(-563\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7335 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60330357 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50610, 50611, 50612?\nAnswer: 50613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 28301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403487489.\nAnswer: 59, 61, 112111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 - 18*q**3 + 30*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 25 = 5*r, 5*o + 914 = -4*r + 894 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 27*j**2. Let i(v) = -12*v**2. What is p(i(z))?\nAnswer: 3888*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-225)*5*36\/8. Calculate the remainder when (p - (-55)\/(-15))\/(15\/(-126)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*v + 243 = -0*v, 0 = -n + 2*v + 43. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244 and 16?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 2*z**2 - 3*z + 1. Let y be r(1). Does 32 divide (16 + -14)*(4932\/8 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**3 + 21*z**2\/2 + 233*z + 1. Give h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 5*r + 7. Let o be j(8). Let k = o + -29. Solve t - 1 - k = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -17*c - 2. Let h(j) = -j. Determine -6*h(u) + v(u).\nAnswer: -11*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22.92 times -1.587\nAnswer: 36.37404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1717446002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105916 is divided by 17650.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8950 and 693650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 753433.9 meters?\nAnswer: 753433900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*b - 1132, 4*z - 4*b - 958 - 550 = 0. Suppose -3*k + z = 4*f, 0*k + 4*k = -4*f + 380. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/8)*x**(4\/3)*x**4\/x**2 assuming x is positive.\nAnswer: x**(89\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5384*m + 16135. Calculate g(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 22*s**2 - 4*s - 47. Calculate b(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = -4*f + 221 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 7*c - 10. Let p be m(-8). Let r = 3 - p. What is the remainder when 7 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 288*n**3 + 13616*n**2 - 233856*n + 1318688.\nAnswer: 2*(n - 58)**2*(n - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2))\/r**14*(r\/r**(-10))\/r**(-20) assuming r is positive.\nAnswer: r**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -797431564 divided by -4\nAnswer: 199357891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26460 + 1111199\/42. Find the common denominator of s and 29\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 47, 2 in descending order.\nAnswer: 47, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182878 divided by 4.\nAnswer: 91439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 13 = 11*s - 10*s, 5*o + 2*s = -20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214)\/(-8)*3*(870\/783)\/((-15)\/(-18))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/9 and 9\/18*((-2)\/2 - -22).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2680446*s**2 + 297405*s?\nAnswer: -5360892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*i + 1121, 4*c = 26*i - 25*i + 2247. What are the prime factors of c?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630015344 to the power of 1\/3, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 12. Calculate y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + r = 28*n - 66, 4*n = 4*r + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.5628 + -1.5628. What is the fourth smallest value in 3, -0.1, b, 1.118?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlllcxxxgxxx. Give prob of picking 1 g and 2 x.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -88. Let f(r) = 29*r**5 + 27*r - 5. Let v(w) = 88*w**5 + 80*w - 14. Let g(k) = p*v(k) + 14*f(k). What is the second derivative of g(q) wrt q?\nAnswer: -680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*sqrt(1377)*-4)**2 + 3.\nAnswer: 793155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -115680696 divided by 3368\nAnswer: -34347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6667*-4.9.\nAnswer: -32668.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 12. Let s be (390\/910)\/(12\/196). Solve f = -2*t - s - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.23288864.\nAnswer: -0.069866592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1282, -2643, -3998, -5347, -6690?\n\"Answer: 3*i**2 - 1370*i + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -929 + 932. Let o(k) = 2*k - 2. Let d(w) = -w - 9. Let q be d(-7). Let j(g) = g - 2. Calculate a*j(n) + q*o(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449705 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18706087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 + 5*d**2 + 10*d + 9. What is w(-3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2169898*-6.\nAnswer: -13019388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -37*j**2 + j. Let k(a) = 142*a - 25. Give k(q(c)).\nAnswer: -5254*c**2 + 142*c - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3611 + 12587. List the prime factors of k.\nAnswer: 2, 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idliiljiildij. Give prob of sequence illj.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2508222 litres to millilitres.\nAnswer: 250.8222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 724 = 3*x, -f + 4*x = -45 - 136. Let a = -148 + f. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.02021363 + -382?\nAnswer: -417.02021363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 211?\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.137094902 + 0.13711. What is j rounded to 7 dps?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = 5*q + 2*k, 3*k - 4 = q. Which is the biggest value? (a) -4 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81, -83, -85?\n\"Answer: -2*o - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(16*k**3 - k**3 - 4*k**3) - k - 25*k**3 - 82 + 49 + 23*k**3.\nAnswer: -24*k**3 - k - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) 2\/19 (d) 0.1 (e) 4\/319 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6784?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 12*k - 71. Let c(h) be the third derivative of 0*h**3 - k*h**2 + 11\/24*h**4 + 0 + 0*h. Let f(d) = 2*d**2. Calculate c(f(o)).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2*-1*(-3 - 1) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1.70706016?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 11*g - 21. Let f be n(-10). Suppose 3*t = -56 + f. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1363 and 1102?\nAnswer: 51794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2. Let d(y) = -263*y + 2. Determine 5*d(c) - 5*l(c).\nAnswer: -1315*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 - 40*z - 76. Let q be w(-5). Sort -4, q, -7, -6, -2 in decreasing order.\nAnswer: q, -2, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/4 - 3111*j**3\/4 + 60087*j**2\/4 - 110829*j\/4 + 13464 = 0. Calculate j.\nAnswer: -1056, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100221002 (base 3) to base 2\nAnswer: -1110001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 26*q - 10*q)*(-12 + 19 + 2*q**2 + 85*q - 9).\nAnswer: 46*q**3 + 1955*q**2 - 46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4058610922 to the power of 1\/2, to the nearest integer?\nAnswer: 63707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069475237 rounded to three dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 26*z - 129. Let v be r(-11). Put -3, v, 0 in descending order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(170)\/(sqrt(10)*-2) + (sqrt(85) - (sqrt(85) - sqrt(85)*-1) - sqrt(85))\/sqrt(5) + -1 + ((sqrt(136)*2 - sqrt(136))*4)\/(sqrt(88)\/sqrt(275)))**2.\nAnswer: 105*sqrt(17) + 20861\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/41032 and -43\/11?\nAnswer: 451352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*a + 145 = -z - 567, 3*a + 2 = -3*z + 2*a + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414 is divided by 695?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285975.\nAnswer: 5, 51439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12450 and 5727.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 1043?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12223 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/((v\/(v*v\/((v\/(v**(7\/3)\/v*v))\/v)))\/v))\/v)\/v)\/((v**(-7)\/v)\/v)*v**(-1\/4)*v**7 assuming v is positive.\nAnswer: v**(241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j - 3. Solve o + j - 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9189908, 9189914, 9189922, 9189932, 9189944?\n\"Answer: x**2 + 3*x + 9189904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - 174*t - 65. Let o be h(-43). Let k be ((-24)\/(-36))\/(7\/o). Solve f - 5*s + 5 = 2*f, -k*f - 3*s + 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (139\/(-417))\/((-7)\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 23550186.536\nAnswer: -23550176.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8794393 years in months?\nAnswer: 10.5532716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + f + 9*f**3 + 2 + 3.\nAnswer: 9*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2655 (base 8) in base 11?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829523?\nAnswer: 181, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 192, 1293, 4294, 10149, 19812, 34237?\n\"Answer: 159*t**3 - 4*t**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.047520768 to five decimal places.\nAnswer: 1.04752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-4*-2)**2 + sqrt(832) + (sqrt(832) + sqrt(832) + 1*sqrt(832) + sqrt(832) + 1)**2.\nAnswer: 72*sqrt(13) + 66561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -42, -64, -86, -102, -106, -92, -54?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 50*h - 2 + 90*h - 46*h)*(-4 - 6 - 3).\nAnswer: -1222*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1 - 1) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402860 is divided by 239?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.160342 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11\/2, 0.1, 0.4, 4\/107, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.2 + 51.200000859. What is i rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:22 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 2, f: 1, p: 3, k: 2, u: 4}. Give prob of sequence kk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 191252*y**3 + 5*y**2 + 4*y + 4. Let m be x(-2). Round m to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 738?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -87769250 to the nearest 100000.\nAnswer: -87800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxjxrhjhjklhhx. Give prob of picking 1 r and 1 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*r + 17, -4*y - 1569 = -2*r - 1553. Which is the nearest to 11? (a) 12 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 30*m + 75. Let a be b(28). Suppose 3*n + 5*y = 6, -20*n = -a*n - 5*y - 2. Which is smaller: 8\/5 or n?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {v: 5, i: 4, y: 2, q: 4, n: 4, b: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1739 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.77 + -3.87. What is the third biggest value in u, 1.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5 + 4)*(0*q - 5*q - 3*q).\nAnswer: 104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -922, -1467, -2010, -2551, -3090?\nAnswer: -3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/40)\/(((-775)\/(-240))\/(-31))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -v + 277. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 4.3. Let t = 0 + r. What is the second biggest value in 2\/3, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - c = -9, 6*q - 3*q = c + 11. Let h(k) = 2*k + 7 + 0*k + 0*k - q*k. Let w be h(4). Put w, 1, -3 in increasing order.\nAnswer: -3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -28, -37, -38, -25, 8, 67, 158?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -61*w**2 - 346*w + 119. What is n(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8072032669.\nAnswer: 211, 38256079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -112112122101200?\nAnswer: 112112122101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {z: 1, u: 2, e: 7}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -893710 + 0?\nAnswer: -893710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552669694 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 6. Let p(u) = 2*u - 7. Suppose -3*l + 42 = 24. Calculate l*p(x) + 7*j(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*u - 1 + u - 2*u + 0*u + (-1 - 2*u + 1)*(-2 + 2 + 2) + 2 - 2 + 2*u + 96*u - 30*u + 44*u)*(2*u**3 + u - u)*(-4 - 1 + 3).\nAnswer: -420*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -3. Suppose -4*o + 8 + m = 2*c, -3*o - 3*c + 6 = 0. Suppose 4*b - 7*b + 15 = 0. Put o, -4, b in decreasing order.\nAnswer: b, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 26 = -4*v, -v + 28 = 13878*s - 13874*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 + 5819. Let n be x(0). Let c = 3284517\/2 - 8240351\/5. Let f = n + c. Find the common denominator of f and 73\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 16*y + 23. Let i be o(-14). Let d(s) = -s**3 - 5*s**2 + 5. Calculate d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467171048 less than 4.943?\nAnswer: -1467171043.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -296029 rounded to the nearest one thousand?\nAnswer: -296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3726*o. Let v(q) = 4*q. Determine r(v(k)).\nAnswer: -14904*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 774 - -1444?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 1\/4 (c) -7\/5 (d) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*f = -2, 0 = -s + 5*f - 3*f + 8. Suppose -s*w - 37 = -31. Let n(x) = -2*x + 3. Let b(g) = 0*g - g + 1 + 1. Determine w*b(m) + 2*n(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111001?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let g(t) be the second derivative of 0*t**2 + 1\/2*t**3 - 27*t + 0. Determine g(a(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - 3*t + 3*t)*((-1 - 3 + 2)*(0 - 3 + 5) + (-17 + 41 - 17)*(23 - 11 + 8)) in the form v*t + w*t**2 + m and give w.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 320, 230, 140, 50, -40, -130?\n\"Answer: -90*p + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -15 (c) 0.078 (d) 0.005 (e) -210\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 49*k + 437 = 0. Let j = k - -79. Calculate the greatest common divisor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0116 * -3.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 12556446*n**3 + 3*n + 12555910*n**3.\nAnswer: -536*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44183.42995 rounded to zero decimal places?\nAnswer: 44183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gifepai. Give prob of picking 1 f and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -524047 (base 8) in base 2?\nAnswer: -101010100000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 25 = 58*p - 33*p - 27*p + 8 - 17, -447*s + 17868 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 = 5*v, -2*p - 6 = -0*p + 4*v. Let g(f) = -5 + 51*f - 57*f + f**2 - p. Calculate g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6480 - -6491 - (-2 - 33)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26000 and 30290?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 6*v)*(-45 + 45 + 485*v**2).\nAnswer: -970*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.2925 kilograms in milligrams?\nAnswer: 103292500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6873146 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h = -2*d + 18, -46 = 4*h + d. Let c(t) = -4*t + 16. Is 20 a factor of c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycyycooccc. Give prob of picking 2 c.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-387*w**5 + 1136*w**5 + 296*w**5).\nAnswer: 1045*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 436274*p**3 + 864552*p?\nAnswer: 2617644*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2358 is divided by 775.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*b**3 + b**4 + 9 + 23*b**3 + 6*b**4 - 2*b**2 - 9*b**4 + 32*b - 8 to the form v + u*b**2 + z*b**3 + m*b + i*b**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1821\/22 + 83. Let u = s - 69\/110. What is the biggest value in u, 0.2, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55398 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 10, 29, 58, 97, 146?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*4511.\nAnswer: 1353.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021110010 - -100020?\nAnswer: 2021210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13008, 26040, 39084, 52140, 65208?\nAnswer: 78288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 78*x - 80*x + 8)*(-x - x + x).\nAnswer: 2*x**2 + 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 = h, -33*y = 5*h - 38*y - 25 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:48 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.061, -6, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168118 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 77. Suppose -h*g = -454 - 86. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d2 - 4?\nAnswer: -2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - 2*p**2 + p + 11. Let a(i) = 4*i**3 + 3*i**2 - 2*i - 10. Let h(b) = -2*a(b) - 3*l(b). What is h(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a**2 + 5*a**2 + 9*a**2 - 22*a**2. Let j(f) = f**2. Let b(v) = v**2 + 11*v + 13. Let o be b(-9). Give o*j(z) + 2*i(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(2019 - 2019 - 94*v**3).\nAnswer: 282*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p - 504 = 9*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*f + 7. Let g = -6 - 24. Let v be 6\/10 - 72\/g. Solve v*b = -0*b + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/38216 and -19\/1614626.\nAnswer: 6458504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/60 + l**4 + 16*l**3\/3 + 15*l**2. Let f be i(18). Find the common denominator of 11\/2 and 10\/(-320)*(f - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*v - 9 = 0, 16 = -3*n + 4*v + 72. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3961 by -64.\nAnswer: 3961\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 190*r**4 + 2140*r**3 - 6290*r**2 + 4335*r = 0 for r.\nAnswer: 0, 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035670.\nAnswer: 2, 5, 7, 13, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31548?\nAnswer: 2, 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 4*l + 1, 3*i - 3*l = -8 + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -41, -82, -121, -158, -193?\n\"Answer: x**2 - 46*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.988277003 + -8930.086937003. Let g = -8929 - h. Let c = 0.098 - g. What is c rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5994*d - 113863. Determine b(-19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*w + 7 = -0*q, -4*q + 6 = -2*w. Suppose q*k = 32 - 196. Let c = 49 + k. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25639b5 (base 13) to base 11\nAnswer: -6664719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7538571\/76 or 99191?\nAnswer: 7538571\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 560.03326+13.11\nAnswer: 573.14326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 41\/13 - (-8)\/(-52). Suppose -41 = -p*l + 2*l. What is the first derivative of 1 + l*j + 0 - 38*j + 5 wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7471249728.\nAnswer: 2, 3, 53, 734203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0 + 1 + 2*x + 4*x**2)*(9523 - 1714 + 4922).\nAnswer: 50924*x**2 - 12731*x + 12731","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/232 and -19\/72.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 + 37 = 4*s + 3*o, 0 = 4*s - 3*o - 325. List the prime factors of s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16100 + 16110.301. Round v to 1 decimal place.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -1402?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 52. Let z be (-44)\/(-10) + 6\/(-15). Suppose m = 2*c, z*c = w - 2*w + 46. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14149, -14156, -14163, -14170, -14177?\n\"Answer: -7*j - 14142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0455837 to 4 decimal places.\nAnswer: -0.0456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -34.2.\nAnswer: 6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -1 - 4\/6. Let z = 10 + -17. Let m = -23\/3 - z. Which is the nearest to -0.2? (a) m (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**2 + 12*i + 2. Let d(c) = c - 4. Let z(a) = 7*d(a) + 2*h(a). Does 3 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -46. Solve p*r = -3*r + 2*c - 6, -3 = -r - c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -1a66010b?\nAnswer: 1a66010c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.205 - 0.2. Let s = 14.93 - 15. Let n = v - s. Round n to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/5 + 5130*m**3 + 9432018*m**2\/5 + 18479086*m + 45876840 = 0. What is m?\nAnswer: -348, -5, 13183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r - 651. Determine i(-58).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25235382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.3542 * -1.\nAnswer: -57.3542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**4 - 3*z**3 + 37 - 2*z**2 - 4*z + 24*z**4 - 36 - 14*z**4 in the form r*z**4 + g*z**2 + j*z**3 + m + n*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 12565437?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -661*z. Let q(a) be the third derivative of -a**5\/60 - 548*a**2. Calculate k(q(b)).\nAnswer: 661*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16148007*u**5 + 3*u**4 - 88196881*u**2?\nAnswer: 968880420*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 23. Suppose 0 = -4*d + 7*m - o*m + 857, m + 1 = 0. Suppose -191 = -3*n + 5*s + d, 3*s = -n + 130. What is the remainder when n is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 7:28 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 110001*f**3 + 3*f**2 + 6*f + 18. Let n be x(-3). Round n to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 - -339. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 3, z: 6, w: 1}. What is prob of sequence ppzp?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 - 18. Let h(x) = -55. Let g(r) = -606. Let j(t) = -g(t) + 11*h(t). Calculate 72*j(a) + 4*o(a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1064)\/(-16)*(1\/21)\/((-57)\/1368)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114686974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11184100117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 3:17 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*n - 6*j + 297, -187 = -2*n + j. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000011111001111 (base 2) in base 14?\nAnswer: -96131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 755 + -423. Let f = -86 + x. Suppose -3*v + f = 3*v. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238543 is divided by 103.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1888 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q - 20. Let k = -7 + 10. Put 0, q, k in descending order.\nAnswer: k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 - 232. Let b be (12\/(-18))\/(-3 - z\/(-3)). Let h(k) = -13*k - 1. What is h(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -s - 5*y - 2, -2837*s + 2833*s + 52 = 5*y for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105645 is divided by 5055?\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 47. Which is the third biggest value? (a) 1 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/2)*m*m*m))\/m)\/m*(m\/(m\/m**(-8)))\/m*(m*m*m**(-12))**(-3) assuming m is positive.\nAnswer: m**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -0*m + 4*m, -4*m + 3*o - 27 = 0. Let b be (-4)\/(-6)*(m + 15). Let g(a) = b + a + 4*a - 2. Let c(d) = -4*d - 5. Give -6*c(u) - 5*g(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the millions digit of 27777552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 18 = 26. Let r be (1 + 1)*((-21)\/k)\/7. Solve 3*d + r*n = 18, -6 = 3*d + d - 2*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6590 and -0.0071?\nAnswer: -46.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3\/27 + 187*i**2\/9 + 373*i\/9 + 2479. Determine k so that c(k) = 0.\nAnswer: -373, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -10. Let a be (220\/(-6))\/(b\/9). Does 14 divide (6\/5)\/((-4)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 30 = 6*g. Suppose -14 + g = 4*m. Solve 3*c = m*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-24*o + 24*o - 9*o**2)*(-3*o + 1 - 1) + (2*o + 0 + 0)*(6*o**2 - 2*o**2 - 2*o**2) + 0*o + 0*o + o**3)*(16 - 16 - 27*o) - o**4 + 0*o**4 - o**4.\nAnswer: -866*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*46.473.\nAnswer: -0.46473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 3*i = 91*j + 183*j - 1051, 2*i - 6*i = 5*j + 16 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 48 = 6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 5.7.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/21)\/(2\/(-7))*2. Solve -1 = -5*m - 2*d, -34*m + 29*m - n*d + 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d - 35*d - 6 = -3*f, 0 = 2*d - f + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgbw when four letters picked without replacement from gwhlbwiwlgghgiggll?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v - 48*v + 30*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (33 + 53 - 2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13005451 - 0?\nAnswer: 13005451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k**2 + 6*k + 4. Let a = 13 + -7. Suppose -a*u = w - 7*u - 7, 5*u = -10. Let p be i(w). Solve -3*t + p = -6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (36 + -21) - 13 - -40\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 8) + 3 + 8 + (2 - 26).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -958965 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7582 by -6.\nAnswer: -3791\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 730080 and 78.\nAnswer: 730080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 16046202?\nAnswer: -16046205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 6*m - 3*m. Let w(h) = -5*h**2 + 6. Let z(t) = 8*t**2 - 14*t**2 - 14*t**2 + 25. Let p(d) = -25*w(d) + 6*z(d). Give s(p(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*q - 56, -3*q - 127 = -4*z + 2*q. Suppose 4*m - 2 = z. Is 17 a factor of (34\/(-5))\/((-2)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjwkmjjwjjwkwwjjyw. Give prob of picking 1 j and 1 k.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -1\/2*d**2 + 1\/12*d**4 + 7\/6*d**3 - 9 + 0*d. Let v(p) be the second derivative of j(p). Determine v(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 - 12*z**2 - 25*z**2 - 3*z**3.\nAnswer: -3*z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9538139 divided by -13.\nAnswer: -733703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 0.019.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -52.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/190673411?\nAnswer: 2\/190673411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 2*y**2 + y - 3. Calculate b(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 1. Let g be u(1). Let j(m) = 2 - m + 6*m - 4*m. Let w be j(g). Solve h = -2*h - 2*f - 10, 0 = -3*h + w*f - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32043 (base 5) in base 15?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**6\/105 + i**5\/28 + i**4\/28 - i**3\/42 - i**2\/14 + 16*i + 1. What is w in q(w) = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 7*m**3\/3 + m**2 + 16*m - 14. Is b(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1508322, 1508469, 1508618, 1508769, 1508922, 1509077, 1509234?\nAnswer: 1509393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 2*k**4 - 1134*k**3 - 40 + 1136*k**3 + 28 - 2*k**2 - 77 - 4*k to the form r*k**3 + t*k**4 + s*k + q*k**2 + u and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 9. Let w(n) = -4 + 5 - 5 + 5. Determine 9*w(u) - z(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 14*w - 13. Let a = -53 - -38. Let o be n(a). Suppose 110 = 3*k - b, 3*k = o*k + b + 38. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 53775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57282*g**2*n**3*r**3 - 52*g**2*n**2*r**2 - g**2*n*r**3 - 29*g**2*r**3 + g**2*r + 3*n**3*r**3 + 44*n**2*r**2 wrt n.\nAnswer: 343692*g**2*r**3 + 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -4.8510448699.\nAnswer: -4.9510448699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 25090391115?\nAnswer: 25090391106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w - 5*x + 25, 0 = 2*w + x - 9. Suppose -w*m = -0*m - 5276. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20585 is divided by 1583.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0 (c) -1.2842\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/13386 + -171977\/3935484. Find the common denominator of x and 85\/12.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42.0173879 and 1.003.\nAnswer: -41.0143879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 2. Let w(u) be the third derivative of -u**5\/15 - 5*u**3\/3 - 619*u**2. Give k(w(s)).\nAnswer: 8*s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - m + 7. Let y = -104 + 99. Give r(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66 - -279?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 19 (c) 4 (d) -5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhnhnjhjjnhjj. What is prob of picking 4 j?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 - -106. Let y be (2 + 0 - 3)*-6. Let a = y - 1. Put r, a, 0 in decreasing order.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5 - 6*c**4 + 38*c**3 + 6*c**2 - 36*c = 0. What is c?\nAnswer: -6, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270300768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0 - 6. Let z(x) = 3*x**2 - 2*x - 1. Let p be z(-1). Solve -5*l = 3*f - 20, -u*l + f + p = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*k - 3434 = 439*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcggtcccgctmc. What is prob of sequence ctt?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 5*h**2 + 3*h + 5. Calculate j(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y\/y**(-10))\/y))\/(y*y**(-1\/4))*y**(-3\/26)*y**(-14)*y*y assuming y is positive.\nAnswer: y**(-1189\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(2*y**2 - y**2 + 0*y**2) + 13*y - y**2 - 13*y - 2*y**2 + 0*y**2 + y**2 - 5*y**2 - 10*y**2 + 4*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27992352?\nAnswer: 2, 3, 101, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(0*j**2 + 2*j**2 + 0*j**2)*(5*j - 3*j + j) + 0*j**3 - 2*j**3 + 4*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15298, 14195, 13092?\n\"Answer: -1103*g + 16401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 2*o**2 + o**2 + (-o + o + o)*(-2*o + 6*o - 8*o) + 5 - 5 - o**2 to m + q*o + w*o**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/68925572 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2. Let r(d) = -2*d - 3. Let f be r(31). Let q = f + 65. Put m, 5, 3, q in decreasing order.\nAnswer: 5, 3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + ((-4)\/(-14) - (-192)\/14). Solve z - 1 = 2*d + j, 3*d = -6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11922 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 6*a**2 - 5*a - 3. Let q be p(5). Let j be q + (-7 - -3) + -3. Let h = 6 - j. What is the remainder when 28 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.22032 from 3.20129888.\nAnswer: 3.42161888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36712285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (183 + (-424 - -240))\/(0 - 2\/86).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 24*j**2 - 39*j - 444. Let q be c(16). Suppose 4*b - 932 = 380. What are the prime factors of (-2)\/(-3 + q\/b)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 10*u - 1. Let v be q(8). Let l(d) = -18*d - 48. Let g be l(-7). Let n = g - v. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l - 17*l + 5*l - 76 in the form u*l + m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(36)\/(1*sqrt(9))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16560147 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328568 greater than or equal to 1328562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -18*s - 1. What is q(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219122112.\nAnswer: 2, 3, 11, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -f. Let x(g) = -2*g**2 - 4*g + 3. Let z(a) = 6*a - 6 - a + 3*a**2 + 2. Let j(t) = f*x(t) + 4*z(t). What is the first derivative of j(o) wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 14*b - 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -58, -1.183, -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - -1.8. Put k, 0, -0.3 in ascending order.\nAnswer: -0.3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 16*c = 12*c - 41, -2*c - 3 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -2, -48 in increasing order.\nAnswer: -48, -2, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o**5 - 166*o**4 - 522*o**3 - 666*o**2 - 340*o - 48 = 0 for o.\nAnswer: -4, -3, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45597 is divided by 1083\/(-38)*(-10 - -8).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-20)*((-11)\/3)\/11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(637) - (sqrt(637) - sqrt(637)*-1 - sqrt(637))**2) + -2)*3 + -4.\nAnswer: -21*sqrt(13) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -182?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 + -605.28. Let d = 74679565 - 74678960.00558. Let f = h + d. Round f to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 5. Suppose -8*u + 4 = -6*u. Suppose 2*s + 3*q - u = q, 0 = 4*s - 5*q + 41. Let t be f(s). Which is the closest to t? (a) -3 (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1387.31 and -0.01.\nAnswer: -13.8731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3263*q*x + 7*q + 185 with respect to x.\nAnswer: 3263*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.22 - 0.22. Let z = 1.9 - 2. Which is the nearest to 1? (a) z (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30674651 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/(-3948)*(-8)\/(-90). Let v = 71908\/1269 - d. Which is smaller: 56 or v?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743400 divided by -25?\nAnswer: -29736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 - t**2)*(4 + t - 4) + 6491 + 4*t**3 - 6491 - 14*t**2.\nAnswer: 3*t**3 - 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0 = -o + 3, 15 = p + 5*o. Suppose -4*b + 3*b + 4*b = p. Suppose 2*a - 3*u = -1, b*a + 5*u - 19 = -a. Solve 0 = -a*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91628 divided by -469\nAnswer: 91628\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z + 99*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 816369, 816362, 816343, 816306, 816245, 816154, 816027, 815858?\nAnswer: 815641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32901703 - 32901702.84999913. Let f = -0.15 + a. Round f to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4119*v - 3*v**3 + 4 - 2 + 4123*v to the form j*v**2 + k*v**3 + z + a*v and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 261*k**4 + 4368*k**3 + 17728*k**2.\nAnswer: -k**2*(k - 277)*(k + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 2*f = 10280. Let p = f - 261. Suppose -2*x - 308 = 4*u - p, 2*u - 2*x - 358 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 5:14 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-4) + 1\/4. Let p = g - -3. Suppose 48 = p*y + y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265936 divided by -4?\nAnswer: -816484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**2. Suppose -4*u - 4*b + 20 = 0, 3*u = 6*u - b - 3. Let j(a) = -a**2 + 0*a**u - 4*a**2 + a**2. Give j(v(s)).\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - -1 - (18 - (12 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2*p**5\/35 + 201*p**4\/14 - 796*p**3\/21 + 8971. Factor z(x).\nAnswer: -2*x**2*(x - 199)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 5*x = -2*p - 10, 20 = 4*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + 2 + (2*sqrt(180))**2 - (sqrt(180) + (-2*sqrt(180))**2 + 5 - (sqrt(180) + -5 + (-1 + sqrt(180) - sqrt(180))**2)))*1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/((-114)\/72)*8. What is the greatest common divisor of 60 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480599.\nAnswer: 7, 71, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 14)\/((6\/9)\/1). Suppose 4*h + 16 = a*s, 0*s = 4*h + 2*s - 4. What is the tens digit of (8*(h + -1))\/(96\/(-864))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15*n = -8*n + 8645, 11544 = 4*i - 5*n. Is 83 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 486 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 38, -17, 0, 28 in decreasing order.\nAnswer: 38, 28, 3, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12575 (base 16) to base 11.\nAnswer: -51496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*(-6)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1\/((-12)\/(-45))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 112*i - 1474. What is d(21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 - 2*h + 0*h - 106 - 103 - 10*h + 336.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 47*j + 441. Calculate t(15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 14 = -203*k + 207*k, 4*n - 123 = 23*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from vbvbvv.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + 0 + (sqrt(171) - (2 + sqrt(171) + -3*sqrt(171))) + sqrt(171))*-4)**2.\nAnswer: 19200*sqrt(19) + 1096000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**2\/f)\/f)**(-32\/9)*f**1\/f**(-1) assuming f is positive.\nAnswer: f**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -33, -1, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6097537*z**5 + 590675*z wrt z?\nAnswer: -121950740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.48 and 0.304335?\nAnswer: 1.175665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 4 - 20*o + 43*o + 70*o - 4*o + o**2 as d*o**2 + u*o + h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 292793719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*c**2 + 13*c**2 - 46*c**2 + 7*c**2.\nAnswer: -73*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i**2 - 4*i**2 + 28*i**2 as s*i + z*i**2 + b and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - l**2 - 4*l)*(5 - 10*l - 5) to the form p*l**3 + w + c*l**2 + y*l and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -41*w**2 - 1. Let c be y(1). Let a = -37 - c. What is the second derivative of 14*q**2 + a*q + 3*q + 5*q - q wrt q?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 636, 1158, 1442, 1368, 816?\n\"Answer: -20*b**3 + b**2 + 659*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360784 and 3.\nAnswer: 1082352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by (-2 + 6)\/((-1)\/((-25)\/10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -20. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -49?\nAnswer: 9\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-490)\/144*1232\/3080 + (-2)\/(-8)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 48*f**2 - 1\/2*f**6 - 3*f**4 - 3*f**5 + 16*f**3 + 48*f - 110. Determine c so that r(c) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.70238 to two dps.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:41 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69 - (8 + 3 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601091 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: Is -4 equal to -709\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -27 + -4 - -39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 4, h: 1}. Give prob of sequence hnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54, 8.\nAnswer: -4, 8, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1)\/2*0. Suppose -5*w - 266 = 3*u - 1822, -4*w - 530 = -u. Let g = 527 - u. Solve -2*s + g*t = 17, o*s - 8 = 3*s - 4*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*t = -18, 2*l - 443*t - 3 + 9 = -442*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 370\/27141 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 432.9292 and -1?\nAnswer: -432.9292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adff when four letters picked without replacement from {d: 3, a: 1, f: 5}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024123007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 383, 615, 883, 1199, 1575, 2023, 2555?\nAnswer: 3183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/617282068 and 1\/10.\nAnswer: 3086410340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12934985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 5\/3, 0 in increasing order.\nAnswer: -65, 0, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqq when three letters picked without replacement from {f: 3, q: 2, c: 2, o: 13}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20342.036 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2412810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 23 = -2*z + 43, -25 = -5*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 10. Let m be 4 + p - 2\/(-1). What is the derivative of -m*i - 2 + 1 + 2*i wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.1. Let h = 16 + -16. Which is the closest to 1\/3? (a) q (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 7*l**2 - 7*l - 1. Let h(b) = -9*b + 2. Let s(r) = -19*r + 5. Let t(y) = 7*h(y) - 3*s(y). Let m be t(-1). Is z(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 316366663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90034309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014964 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k. Let o(j) be the second derivative of -j - 1\/2*j**3 + 0 + 0*j**2. Let q(g) = 9*o(g) + 2*t(g). Let s(n) = -2*n**2. Determine s(q(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -551 + 547. Let n(m) = m**3 + 5*m**2 + 3. Is n(u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Suppose 3*u - 12 = -u - v, -5*v = 2*u - 24. Let s(c) = -3*c + 38. Let i be s(6). Let a(h) = 2*h**u - 20 + i. Calculate t(a(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15814320 and 145672.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4330 and 115\/426.\nAnswer: 922290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b - 90. What is the tens digit of (-342)\/b - (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 7) to base 5.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -40.1 (c) -5 (d) 5\/4 (e) -6.413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 26828 = -15*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54, 47, 42, 45, 62?\n\"Answer: c**3 - 5*c**2 + c + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 8, m - 4*a + 2 = -1. Calculate the common denominator of -1 + 11\/4 + 2 and ((-7)\/2)\/((-6)\/m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -37. Let x = 4 - v. Let w = 0.1 - -0.9. Which is the third smallest value? (a) w (b) x (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/4)\/((-90)\/2640*-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03570919 to 4 dps.\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7103 + -7105. What is the biggest value in 2, 0.4, y, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1378*o - 1 + 2760*o - 1381*o - 17. Give y(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*y + 1 + 1 - 6*y - 2*y - 1 + 1 + (1 - 1 + y)*(1 + 0 + 0) + y + y + 0*y)*(29*y**4 + 103*y**4 - 23*y**4).\nAnswer: 1417*y**5 + 218*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 516 - 516 - 38*g**3 - g in the form f + j*g**2 + u*g + b*g**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + o + 0*o)*(-35 + 20 - 53)*(2 - 1 + 2 + (5 - 2 - 1)*(-3 - 1 + 2) + 2 + 2 - 5) to h*o + a and give h.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, e: 1}. Give prob of sequence cwe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-420)*-5)\/(321\/642)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -5 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2156)\/(-2695))\/((-14)\/1715)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiiiuiuiuiiiu. What is prob of sequence ii?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57947 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: Is 4802936653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3619533?\nAnswer: 3, 23, 52457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 206617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -26, -0.2, 0.25, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r + 1. Let k be p(-1). Suppose 2*w + 0*w + 6 = -2*z, -4*w + 5*z - 3 = 0. Which is the closest to 2\/7? (a) w (b) -4\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -55, 4 in decreasing order.\nAnswer: 5, 4, 1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8\/163, 14, -0.43?\nAnswer: -8\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**6\/15 - z**4\/3 + z - 8. Let h(o) be the first derivative of i(o). Factor h(y).\nAnswer: 4*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4\/2 - 219*f**3\/2 + 303*f**2\/2 + 59619*f\/2 + 29547 = 0.\nAnswer: -14, -1, 21, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 5*z + 72 = 0. Solve -z*q + 4*p + 4 = -24, -p = 2*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*q**3 + 65*q**3 + 70*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 4704030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268.2 + 296. Let a = q + -28. What is the biggest value in 4, a, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27076858 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 2*k**3 - 89*k**3.\nAnswer: -88*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 945.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 9*k + 6675. Let l = k + 629. Calculate the greatest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254064934.\nAnswer: 2, 53, 2396839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -5*n**2 - 2 - 3*n**3 - 1\/4*n**4 - 10*n. List the prime factors of f(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -0.3 (c) -2 (d) -40 (e) -235\/6 (f) -28 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 81*y + 4372. Determine m(118).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-3)*1518\/1265*2\/(-14)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2326*m - 228 = 2345*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1840\/(-18) + 5 + 14\/63. Let p = m + 102. Solve 2*q + a = -4, 20 = 4*q - p*q - 5*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13265, 26690, 40115, 53540?\n\"Answer: 13425*w - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 21*f - 20. Let u be o(1). Suppose -2*n + 13 - u = 0. Solve -n*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3 + 19406*d**2 + 42147724*d + 42128320 = 0?\nAnswer: -6422, -3280, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 132. What is the nearest to 16 in c, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w*w*w*(w\/(w*w**(-1\/2)\/w*w))\/w*w**(-6)*w*(w\/(w**5\/w*w))\/w*w)\/((w**(1\/4)*w)**42)**(2\/41) assuming w is positive.\nAnswer: w**(-2885\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26590094 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, d: 6, c: 2}. What is prob of picking 2 d?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 + 1 + 3*i**2)*(-161*i - 35819 + 35819 - 2*i**3).\nAnswer: -6*i**5 - 485*i**3 - 161*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1273*k**3*y + 2818*k**3 - 724*k + 131*y wrt k?\nAnswer: 7638*k*y + 16908*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*y - 2*y + 6*y + y**2)*(29 - y - 4 - 4).\nAnswer: -y**3 + 20*y**2 + 20*y + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35554773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65117 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.407341 rounded to one decimal place?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + 1 - (3 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.122, 20, -2 in descending order.\nAnswer: 20, 0.122, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 255 = -80 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:20 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 463579331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49134, 98368, 147602, 196836, 246070?\nAnswer: 295304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:16 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 6224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124731035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 426547482.\nAnswer: 4692022302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278*(-3)\/42*-7 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v - 2*u, -v + 6 = -28*u + 30*u. Let r(s) be the first derivative of 0*s + 0*s**v - 11 + 7\/3*s**3. Let w(g) = -g. Give r(w(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 54*d**2. Let s(k) be the second derivative of -k**3\/3 - 6*k - 13. Determine s(b(c)).\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 + 3*y - 3*y - 3*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15 - (75 + (-49854)\/560))*45\/(-12)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337358037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, -1, -9, -23, -43, -69, -101?\n\"Answer: -3*q**2 + 7*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143463 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*g - 173*g - 212*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15392 + -8764. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 70 = 8*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2820, -9, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 80.8. Let x = j + 1.4. Let r be (1\/(3\/1))\/1. Which is the closest to r? (a) x (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1222905\/2 or 611452?\nAnswer: 611452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47166 - 20708. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4964*j**2*s*y**2 - 13*j**2*y**2 - 11*j*s*y**2 + j*s + 324*j*y**2 wrt j?\nAnswer: -9928*s*y**2 - 26*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.658*0.13\nAnswer: 0.86554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 90 = -176. Which is smaller: 34 or l?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 6*o**2 + 2*o + 0*o**2 to v*o + r + j*o**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882187 is divided by 94102?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10747195387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3527.5632 + -3.8368. Round c to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058441 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(825\/(-132)))\/((-1)\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -29061 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 2*l**5 - 3*l + (-1 - 1 + 4)*(-2*l**5 - 2 + 2) - 96*l**3 + 176*l**3 - 917*l**5 - 80*l**3.\nAnswer: -923*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.22 + -11.78. Let m = -16 - j. Let i = 151\/30 - 29\/6. Which is the second biggest value? (a) 3\/7 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185481728?\nAnswer: 2, 67, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*t - 173*t + 545*t.\nAnswer: 972*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 2*j)*(3*j**2 - 2*j**2 - 3*j**2) - 4*j**3 + 8*j**3 - 8*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 6*n**2 - 6*n - 1. Let a be s(-5). What is the second derivative of 4*l**3 - l - a*l - l + l wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3799, 7599, 11399?\n\"Answer: 3800*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 - (-10 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**3 - 4*b**2 + 3*b + 6. Let w(c) = 5*c**3 + 2*c**2 - 2*c - 3. Let s(u) = -3*d(u) - 5*w(u). Determine s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31270 is divided by 2233.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 687777*d + 687780.\nAnswer: -3*(d - 229260)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3) + 4 - (sqrt(52)\/sqrt(4) + -4 + sqrt(13)).\nAnswer: -sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*f**2 + 0*f - 4*f + 162*f**2 + 114*f**2 - 87*f**2 - 45*f**2.\nAnswer: 251*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -4*y - 2 + 65\/2*y**2. Is p(1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 49*f - 22. Let q be s(-25). Solve 4\/5*r**2 - 2\/5*r**4 - 2\/5*r**q + 0 + 0*r = 0 for r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69634 + 69606.067. What is q rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -23*a**3 + 6*a**2 - 4*a - 8. Let n be 3\/(-2) - 22\/(-4). Suppose n + 2 = -r. Let c be i(r). Round c to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 515060.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 552 = 56*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 10:34 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/(-17))\/((-6255)\/(-35445))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 7)*(0 - v + 0 + (2*v + 0*v + 0*v)*(-3 + 7 - 3) + 2 + v - 2).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3246, 3266, 3304, 3360, 3434?\n\"Answer: 9*v**2 - 7*v + 3244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*h + 1271 = 0, -3*i + 2*h + 1896 - 617 = 0. Suppose 0 = 5*p - i + 40. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiuiui?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x + 6*x + 9*x**2)*(2 - 3 + 8)*(-17*x + 0*x - 2 - 27*x) as g*x**2 + p + o*x + i*x**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g + 2*v, -2*g = -4*v + v - 19. Let k = g + -2. What is the highest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 2337591078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32225625 divided by 1289025\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4371*j + 92234 = -20887 - 493299 + 68787 for j.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 169*o - 171*o + 19066. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*c + 11, -3*j + 3*c - 15 = -6. Suppose 4*z - 75 + 201 = 2*x, 0 = 4*x - j*z - 252. Calculate the remainder when x is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Suppose -4*f + 36 = -6*v + 2*v, -33 = l*v - f. Let m(w) = -5*w + 4. Let h be m(v). Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(704) - (sqrt(704) + sqrt(704) + (-2*sqrt(704) + sqrt(704))*-6 + sqrt(704)))\/(sqrt(36) + sqrt(324)*2).\nAnswer: 160*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 1:45 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f. List the prime factors of v(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15357354 (base 8) in base 6?\nAnswer: -203400444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7603 is divided by 842.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 37370*f - 37365.\nAnswer: -5*(f - 7473)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 1060*s**2 + 14568*s - 1060. Calculate t(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(170) + sqrt(170) + sqrt(170) + (sqrt(170) + -1*sqrt(170) - sqrt(170)))*-3 - sqrt(170) - sqrt(170))*6*5)\/(2*sqrt(250)*-1*-6))**2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-36430.8.\nAnswer: -72861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722659509?\nAnswer: 43, 63317663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 - 2 + 0 + 0 + (3 - 4 + 3)*(1 - 1 + 1) - 2 - 10 + 3)*(-5*f + 2 - 2 + (2 - 2 - 1)*(f - 15 + 15)).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**8)\/(((r*r*r**(5\/7)*r)\/r*r)\/r) assuming r is positive.\nAnswer: r**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -101845448 divided by -116?\nAnswer: 877978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 3*k + 2. Suppose -8*v + 10 = -3*v. Calculate the remainder when o(v) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61 and 9.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.19 (b) -4 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(85\/425)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1216563*l**5 - 196*l**3 - 5*l**2 - 6401*l + 812 wrt l.\nAnswer: 72993780*l**2 - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(6 - (-6)\/(-2)). Suppose 3 = -4*y + g. Let v(i) = -i**3 + 0*i**3 - 2*i**2 - 3*i + 1 + 0. Let f(b) = 3*b**3 + 5*b**2 + 8*b - 3. Give y*f(z) + 8*v(z).\nAnswer: z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 2*x**2 - 5*x - 3. Let s be p(-2). Suppose 0 = 2*m - 2, -s - 24 = -d - 5*m. Calculate the smallest common multiple of 22 and d.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*r = 172 - 37, -4*r = -t - 135. Let h = t - -165. Solve 2*x - 4*x - k - 1 = 0, -5*x + 4*k + h = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 925 = -90*c + 95*c. Is c a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-30)\/(-12)*-4 - (-16 + 38)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2706\/99)\/(-4 + (-4)\/6) + 6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 7:42 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/48)\/((-138)\/72 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 + 4*v - 6. Let i(m) = 2*m + 2. Let p = -8 + 7. Let c be i(p). Suppose -d = -k + 2, 2*k + d + 4 - 17 = c. Give h(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u = -3*r + 49, -2*r - 3*u + 31 = 0. Let q(n) = 2*n - 12. Let m be q(r). Sort -2, m, -5 in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, -4, -19 in ascending order.\nAnswer: -19, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 8, -5 in decreasing order.\nAnswer: 12, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -9. Let t(o) = 2*o - 6. Let y be t(l). Let m be -8*((-3)\/(-2))\/(-3). Solve m*s + y = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361713371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smnngkmr. What is prob of sequence gk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.05, -6, 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1508, -5, -11, 8\/5, 0, -3\/2.\nAnswer: -1508, -11, -5, -3\/2, 0, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + (-3)\/6. Let x = 8 - m. Let c = 177 - 121. Calculate the greatest common factor of c and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385\/8 + 97\/2. Let g = -155215 - -776068\/5. What is the smallest value in -0.5, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 + 128. Find the common denominator of -74\/33 and -47*(4\/(-16))\/(k\/12).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) -2 (b) 4 (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 6*r - 360 = -9*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 831180, 831179, 831178, 831177?\n\"Answer: -j + 831181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2905 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152.942 + 153. Round i to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 70. Let u be j(19). Is (1012 - u) + (0\/(-2) - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 8) + (-4 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163107.\nAnswer: 3, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4592\/15 + -306. Determine r so that 0 + 0*r - y*r**4 - 4\/15*r**2 + 2\/5*r**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009 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: Simplify n**(-3\/2)\/n**(3\/2)*n\/(n*n**(-18))*n*n**16 assuming n is positive.\nAnswer: n**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13255, -26510, -39767, -53026, -66287?\nAnswer: -79550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + 2*b - 6*b + 2*b + 2*b + 2*b - 5*b + b + (6 - 42 + 19)*(b - 1 + 1))*(1 - 2*b - 1)*(0*b**2 + 2*b**2 + 0*b**2).\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:56 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -338055 (base 10) to base 15\nAnswer: -6a270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 48*s**3 - 15*s**2 - 57*s + 168. Let x(y) = -7*y**3 + 2*y**2 + 8*y - 24. Let l be 2\/(-8) + 170\/40. Let z(i) = l*w(i) + 27*x(i). Factor z(t).\nAnswer: 3*(t - 2)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 14*d + 2. Let f be x(-15). Let y = -16 + f. What is the remainder when 1\/(3\/(-2) + 2) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -1 (c) 60\/71 (d) 0.2 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34624, -138530, -311702, -554140, -865844?\nAnswer: -1246814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*h**3 + 135*h**3 - 56*h**3)*(69 - 69 - 26*h).\nAnswer: -338*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 7*r**2 - 2*r - 6. Let d be m(6). Find the common denominator of 4\/(-2) - (-7)\/d and -41\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3 - 3)*(32*i - 22*i + 11*i + (i - 4 + 4)*(1 - 3 + 3) + 2 - 2 - 2*i).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*o + 980 = 0, 4*t - 3*o - 525 = 487. What is the highest common factor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:33 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 0*g + 6*g)*(2*g - g + g)*(-18*g + 1 - 3 + 10*g) + 4*g**3 + 5*g**3 - 2*g**3 to i*g**2 + j*g**3 + b + r*g and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)\/((-4)\/(-8)). Let g be (-4)\/8 + (-13)\/w. Suppose 0 = -0*m + m - g. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:46 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/14 (b) -4 (c) -3 (d) -3.2 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -9. Let a(h) = -13*h**2 - 2*h - 6. Let l be a(s). Let o = l + 1481. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 17. Let i be r(6). Let u(s) = -2*s**3 - 23*s**2 - 14*s + 11. Let y be u(i). What is the second derivative of -6*w + y*w - 14*w - 25*w**4 wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 110111001101111101001010?\nAnswer: -110111001101111101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*g + 8 = 0, -5*g + 2 - 12 = 0. What is the nearest to 1 in -2\/11, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (0 - 1935\/20). Let w = 205\/2 + l. Which is the third biggest value? (a) w (b) 1 (c) -0.5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-1200)\/3840).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*a - 313*a = -4594800. Round a to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275215 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/17, 31204, 0.4?\nAnswer: 31204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(0 + -1). Suppose -7 = -10*b + 3*b. Let f be (((-176)\/(-33))\/(-16))\/(b\/(-3)). What is the third smallest value in f, -3, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 10 = -v + 5*f, 5*f = 20. Let s(p) = 3*p + 1. Let o be s(3). Suppose -2*b + 3*a + o = 0, 5*a - 15 = -0*b - 3*b. Sort 2, b, v.\nAnswer: v, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 8*t**2 + 7*t + 95. Let o be p(-6). Let k(h) = 6*h + 123. Let b be k(o). Solve 0 = 5*x + 11 + b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 981 and 9?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 22*g**3 + 111*g**2 + 23*g + 24. Let q(w) = -4*w**3 - 19*w**2 - 4*w - 4. Let s(i) = 3*m(i) + 17*q(i). Calculate s(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 32. What is the remainder when 17 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(117)*-3)\/(sqrt(1296) - (sqrt(1296) - (-1*sqrt(1296)*2 - sqrt(1296) - sqrt(1296)))) + -1.\nAnswer: -1 - sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*l**2 + 1051*k - 14*l**2 + 10*l wrt k.\nAnswer: l**2 + 1051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/169858 and -11\/3068.\nAnswer: 20043244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1276 - 1234 = -4*z, -5*h + 2*z = -41 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3380*k - 3377*k + c = -107, -357 = 3*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*x**3 - x**2 + 39*x - 39*x.\nAnswer: 58*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -24*i + 21. Let c(u) = -14*u + 266. Let q be c(22). Let f(n) = n - 1. Determine q*f(o) - 2*r(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*f + 118*f - 37*f - 12197105. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883846, -883950, -884052, -884152, -884250?\nAnswer: -884346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 61*c**2 - 85*c - 313. Give n(32).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.81 * 0.053.\nAnswer: -0.04293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.6. Let y = 9 + -8. Are y and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 3*s**2 + s - 2. Let m be g(2). List the prime factors of -20*-2*(-2)\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7\/2)\/y**(-1\/65) assuming y is positive.\nAnswer: y**(-453\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 26055 = -3*n, -r = n - 2149 - 6528. List the prime factors of n.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3\/9 + 850*w**2 - 44228*w\/3 + 64430\/9 = 0.\nAnswer: 1\/2, 17, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61.1 (b) 17 (c) -0.354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -5, -152 in decreasing order.\nAnswer: 3, 0.3, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 4*y + 0*y)*(-207 + 28 - 47)*(-y - y + 4*y)*(-2 + 2 + 1) to the form a*y + p*y**2 + l and give p.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/61 and 85\/36.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 3262527?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437212606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from ciiiiiiiicii.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189470111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/3*(-27 + 3885\/140)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255706 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -7) + -4 + (3 - 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Suppose 291 = q*x - 3*v + 2*v, -55 = -x - 3*v. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -15)*(-2)\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1698469627 and -1.9?\nAnswer: 1698469625.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 28*w + 401. Give f(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((((j\/(j**(-1)\/j))\/j)\/j*j*j)\/j)*j**(-1\/6)*j)\/((j\/(j\/((j*j**(-2))\/j)))\/j*j**6)*(j**(2\/5)\/j*j\/(j*j**(-2\/7)))**(3\/5) assuming j is positive.\nAnswer: j**(-3523\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/17)*p**(5\/2)\/p*(p**(-30))**(-9\/13) assuming p is positive.\nAnswer: p**(9869\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53\/6 - -17\/2. Let f = -1.1 + 0.1. What is the closest to o in f, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 75) + 90 + -39\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2518f (base 16) to base 5\nAnswer: -14330301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/10 + 18*3\/4. Suppose -y*i = 7*i + 21. Let s(b) = -3*b - 1. What is s(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403575662.\nAnswer: 2, 7, 89, 46271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 27. Let j be y(-11). Suppose 14 + 1 = j*g, l - 11 = -2*g. What is the remainder when 2*l\/(-10)*-27 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47780737 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.082.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 780999 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**24*(p\/((p*p*p*p**23\/p)\/p))\/p assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*u - 40, 3*h = -109*u - 62 + 619 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 4. Let n be d(-4). Let f = 5 + n. Suppose 0 = x - 4*g - 2301 + 538, 4*x - f*g - 7041 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose 2*h - 32 = -j*h. Suppose 2*k = -3*l + 87, -l + h = k + 4*k. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -1001100111101?\nAnswer: -1001100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/49 - ((-432)\/14)\/3. Suppose g*s - 8*s = 26. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1563, 2473, 4943, 9753, 17683, 29513?\n\"Answer: 130*j**3 + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 + 3661 = -134*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - (1 - -5))*646\/(-95). Is f < -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608*c**2 - 108*c - 1458 + 1215*c**2 - 609*c**2 = 0. Calculate c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 10. Let x(i) = 0 + 3 - 2. Let c(v) = l(v) - 5*x(v). Let s(z) = -z - 3. Let t(n) = 2*n + 6. Let w(j) = 5*s(j) + 2*t(j). What is -3*c(y) - 5*w(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 809 - 718. Suppose -6*m + 2*m + 179 = t, 0 = -2*m + t + k. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3869237*l**2 - 550916*l + 6 wrt l.\nAnswer: 7738474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 times -8.41?\nAnswer: -327.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:13 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23 - (2\/2 - -2). What are the prime factors of 6\/v*-2*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let x be (-1)\/r - (-254)\/4. What is the highest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 3*s - 1. Let a(n) be the third derivative of n**6\/120 + n**5\/15 + 5*n**4\/24 + 3*n**3\/2 + 13*n**2. Let h be a(-3). Calculate l(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.337401 millimeters to centimeters.\nAnswer: 0.6337401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17763 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**3 - 1\/2*s**2 + 1 + 0*s. Find the second derivative of r(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 43*u - 446. Let k be c(25). What is the biggest value in 0.1, k, -2\/13, 3, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562 = -4954246*p + 4954318*p - 4046 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3932446932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 8, -10*u + 2 = -8*u - 4*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 times -29?\nAnswer: 4669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-1 + -2 - (-31 + (40 - 29))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/257, -9, 1522, 7\/6?\nAnswer: 1522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1718\/11 + 156. Suppose 0 = -5*x + 9 + 1. Which is the fourth biggest value? (a) -0.05 (b) o (c) 4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 84 = -0. Let s(g) = 20*g**3 - g**2 + 3*g - 2. What is the smallest common multiple of b and s(2)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24875 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {t: 1, z: 4, f: 3, c: 8, s: 1}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47329117 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11188363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 265921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 13*l = 104. Suppose l = 7*u - 106. What is the remainder when 116 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**2 + 14*c - 2. Determine s(4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:09 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 7:36 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/44 and (-146)\/24 + 9\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33270 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2 + 2 - 4*n**2. Let d(q) = 46*q - 60*q + 21*q. Determine h(d(i)).\nAnswer: -196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1385039?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363 + -354. Let w(t) = t**3 - 7*t**2 - 20*t + 18. Let m be w(x). Solve -5*j = -5*y + 17 - 2, 2*y - 2 = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24282 and 55380852.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + m + 9. Suppose 19*v - 15*v + 308 = 0. Let k = -68 - v. Calculate the remainder when q(5) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.8, 6, -0.1.\nAnswer: -5.8, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -269, -419, -569, -725, -893, -1079, -1289?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 623 and 672?\nAnswer: 59808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 21*l**2 + 1. Let m(h) = -13*h + 3. Let n(f) = 9*f - 2. Let z(g) = -2*m(g) - 3*n(g). Give j(z(y)).\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, m: 4, l: 2, f: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 1, -11841 in increasing order.\nAnswer: -11841, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and -192134.\nAnswer: -192134.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 4*w**3 - 2*w**3 + 5*w**5 + (-w**3 - 1 + 1)*(0*w**2 + 4*w**2 - 3*w**2).\nAnswer: 4*w**5 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Suppose -2*w + 13 = -c*t, 3*t + 6 = 3*w - 6. Let x be (t\/3)\/(17101\/(-3420) + 5). What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161*l**5*q + 7*l + 4*q wrt l?\nAnswer: -3220*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from ccnincccginng.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*n + w, 0*n = 5*n - 2*w - 30. Solve -5*o + 37 = 5*a + 12, -n*o - 2*a + 12 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 294*l - 4025. Determine c(10).\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -3, -0.01, -8, 12, 2\/5, -1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -139.2, -1\/5, 2.\nAnswer: -139.2, -2, -1, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by -531113.\nAnswer: -75\/531113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2179013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118909 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + 2*z**5 + 4*z**5 + 2*z**5 - z**4 + z**4 + (z**2 - 6*z**2 + 3*z**2)*(4*z**2 - 2*z**3 - 4*z**2) + z**5 + z - z - 201 + 6*z**5 + 201 - 2599*z**5.\nAnswer: -2583*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 18*q - 108. Determine n(-19).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1135 + -919. What is the remainder when l is divided by 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -5 (c) -3\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let h(g) = -5*g - 5. Let m(f) = -129 + 73 - 48*f - 8*f. Let a(b) = -68*h(b) + 6*m(b). Give a(z(r)).\nAnswer: 4*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1039 - -1061. Sort -1, -10, v in increasing order.\nAnswer: -10, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/3 + 0 + (20 - -9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaa when three letters picked without replacement from {q: 7, a: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 748.008625 + -748. Round c to 4 decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -208, -541, -1008?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (2\/2 - -12). Let y = q + 1. Let z = -11 + y. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 544 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409556?\nAnswer: 2, 7, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-7 - (-11 - -7) - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68423051 rounded to 2 decimal places?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((408\/1360)\/((-41)\/(-4)))\/((552\/(-160))\/(-23))?\nAnswer: 8\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 312050*o**4 - 2001487120*o**3 + 3209376996332*o**2 + 16250048592*o + 20569698.\nAnswer: 2*(o - 3207)**2*(395*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -31)\/(25*12\/(-300)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 9:20 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in -0.5, 65, 4, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 1302.\nAnswer: 35154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 16*r**2 - 26. Give n(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/(-1)*(32\/24)\/((-5700)\/855).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -4*m**2 + 52 + 22\/3*m + 2\/9*m**3. Let y(o) = 0. What is o?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10134 + -10133.9983895. What is y rounded to 5 dps?\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/((-4)\/(-4 - 0)). Suppose -3*q = n - 6*n + m, -16 = -4*n. What is the smallest common multiple of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5))**(-17\/2)\/((h*h**(-10\/9))\/(h*h\/(h*h**(-8))*h*h)) assuming h is positive.\nAnswer: h**(406\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.171 + -0.129. Which is the second biggest value? (a) 3 (b) l (c) 2\/3 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47092360 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10836 + 10871. Solve 2795*o - 2788*o - n = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 7*v**2 - 8*v + 1. Suppose 0*c + 6 = -2*x - 2*c, c = -5*x - 35. What is g(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-221*10\/(-255))\/(4\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362504, -362507, -362512, -362519, -362528, -362539, -362552?\nAnswer: -362567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 2*s**2 + 4*s + 73. Let j be w(0). Solve 72*a - j*a = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/12 - 664*a. Let f(t) = -3*t**2 - 49*t. What is f(g(u))?\nAnswer: -3*u**4 - 49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*6.763.\nAnswer: 1.3526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3324976?\nAnswer: 2, 207811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 50*x - 72. Let m(q) = -q**2 + 17*q + 24. Let b(u) = -4*a(u) - 11*m(u). Does 6 divide b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 3:58 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - k)*(2*k**2 + 3*k - 3*k) in the form v*k**2 + d*k + l + h*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-8)*72\/(-27)*-1. Let g(b) = -4*b**3 + 2*b + 8. Let o(z) = z**3 - z + 1. Let a(u) = i*o(u) - 2*g(u). Differentiate a(p) with respect to p.\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n + 73*n = 30 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-20)*(-5)\/(-2). Suppose v*u + 2*g = 0, -5*g - 6 = 3*u - 2. Suppose -19 - 3 = -u*p. What is the greatest common divisor of 99 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1 + 7*f**2 - 1 + 4*f + f**3 + 3*f - 3. Let d be j(-6). Calculate the common denominator of 9\/10 and 534\/d*3\/16.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + r + 2*r + 4*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q**5 + 923*q**4\/5 + 932*q**3\/5 + 12*q**2\/5 = 0.\nAnswer: -2, -3\/230, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 30*q + 209. Determine g(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j**3 - j**2 + 1. Let q be t(1). Let x be (40\/q)\/(10\/135). Let k = 68 - x. Calculate the greatest common factor of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2188830 and 7445?\nAnswer: 2188830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from eeejjedjdj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -3)*((-207)\/(-92) - (3 - 4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**3\/6 + 6*w. Let k(a) = 8*a**2 - 6. Let t(r) = -23*r**2 + 17. Let x(g) = -17*k(g) - 6*t(g). What is h(x(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(-3 + 3 + 2) + 3 + 1 - 2 - 1 - 1 - 3)*(-2*t + 2 - 2).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from {y: 2, c: 4, b: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1471152.7 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 33*j + 320. What is k(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -13038.\nAnswer: 13038.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 - 7*j - 5. Let r be q(8). Let a be r + 12 + -7 + 4. Solve -4*o - a = -c + o, -4*c - o + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864072.3 litres in millilitres?\nAnswer: 864072300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -4*w - 10*i + 3507, 1758 = 2*w + 4*i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (1 - 10 - -29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {k: 7, z: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485*f - 1527*f + f**2 + 1042*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3262 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*t + 13, -2171*t + 2169*t - 3*r = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2 - 83534445*t + 83534440 = 0.\nAnswer: 1, 16706888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = 20. Suppose -p = -6*p + 15. What is the third derivative of 7*k**6 - 1 + p*k**2 - m*k**6 + 1 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**4*v**2 + 212*a**3*v**3 - 656*v**3 with respect to a.\nAnswer: 4*a**3*v**2 + 636*a**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 74, 4, 10, -8, 3 in increasing order.\nAnswer: -8, -3, 3, 4, 10, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1 - 5) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2207005061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5\/4 - 20*x**3 + 20*x**2 + 60*x - 80.\nAnswer: 5*(x - 2)**3*(x + 2)*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 0, -5 in descending order.\nAnswer: 37, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -914585.7 to the nearest 10000.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o - 134. Calculate h(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6451*h = -148*h - 6599 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-56))\/(6\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6294*z**4 - z**3 + 3*z**3 - 7*z**2 - 4217*z**4 + 40 + 6*z**2 wrt z.\nAnswer: 49848*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/60*-20 + -11. Let i(g) be the second derivative of -11\/18*g**3 - v*g - 1\/4*g**4 + 0 - 1\/3*g**2. Factor i(b).\nAnswer: -(b + 1)*(9*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95909875?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2595 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 164019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6278 - 1328. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 12 - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-84)\/(-210))\/(6\/2249445) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 27 = 15. Suppose -1 = -3*n + 5. What is the smallest common multiple of n and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 3133532000?\nAnswer: 3133532000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -52*y**3 - 3*y**2 - 4*y - 1. Let k be i(-1). Factor 235*a**2 - 1800*a - 651 - 14*a**4 + k*a**3 + 9*a**4 - 2*a**3 - 5829.\nAnswer: -5*(a - 9)**2*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a9 + -236524?\nAnswer: -236922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 903235 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: Let w = -54 + 106. Calculate the highest common divisor of w and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 + 4. Calculate z(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -0.148, -4, 15\/106 in descending order.\nAnswer: 24, 15\/106, -0.148, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = -33*m + 37*m, 0 = -4*j + 2*m - 2. Suppose 985 = j*g - z, -16*g = -18*g - 4*z + 1010. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177.9 + 0.4468911.\nAnswer: 178.3468911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, e: 1, u: 4}. What is prob of picking 1 u, 1 e, and 1 w?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2163338 or -2163343?\nAnswer: -2163338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4168*d - 91991. What is a(-22)?\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -18)*(-1)\/(-2). Let w = v - 5. What is the derivative of -2 - w*c**3 + 2*c**3 + 3*c**3 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5) + (-4 - (-4 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/(-5))\/5)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*z = -196, -d - z + 4*z = 35. Let r = d - -55. Suppose -r*f + 26 = 2. Which is the second biggest value? (a) f (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1\/52, -0.1 in ascending order.\nAnswer: -4, -0.1, 1\/52, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 395*s - 7*s + 277*s in the form w*s + d and give w.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b + 9. Let c(h) = 4*h - 3. Let t = -9 + 14. Suppose -4*u + 4*r = -4, -u + 2 - t = -3*r. Calculate u*i(s) + 8*c(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 3*s - 3*s + (3 - 2 + 0)*(-434*s - 57*s - 294*s))*(-4*s + 2*s + 4*s) as h*s + z*s**2 + d and give z.\nAnswer: -1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16396.43l?\nAnswer: 16396430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311279 is divided by 8647.\nAnswer: 8634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854954.\nAnswer: 2, 427477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(2*sqrt(726)) + -3 - (sqrt(44)\/(sqrt(2)*2) + sqrt(22) - sqrt(22))\/(5*(sqrt(11) - sqrt(11)*2)).\nAnswer: -3 + 8*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (4 - 1305\/459). Let y = l + -19\/204. What is the nearest to 0 in -2, -2\/3, y, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 1, -2, 1077 in increasing order.\nAnswer: -5, -3, -2, 1, 1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 0.2, 32 in descending order.\nAnswer: 32, 0.2, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 438\/65 or -341?\nAnswer: 438\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 26*s - 1. Let i(x) = 9*x. Let c(q) = -17*i(q) + 6*y(q). Let g(m) = -m. Let t(w) = -c(w) - 5*g(w). Suppose -12 - 4 = 4*d. Calculate t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4126\/1033, -0.2, 5 in ascending order.\nAnswer: -4126\/1033, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p\/(p**(1\/26)\/p)))\/p*p))\/(p*p\/p**(-3\/5)) assuming p is positive.\nAnswer: p**(-83\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-34)\/(-3))*2793\/(-49) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - 0.22. Sort -5, 1\/7, g.\nAnswer: -5, g, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -8. Let c = -4 + 1. Sort -1, c, r.\nAnswer: c, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) - sqrt(85)\/(sqrt(5)*-1) - (sqrt(102)\/sqrt(6) + 5)).\nAnswer: -9 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/336 and 115\/29484.\nAnswer: 117936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4 + 3467*x**3 + 61032*x**2 - 42228*x = 0.\nAnswer: -18, 0, 2\/3, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 71*w - 36. Is n(-47) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxscccxwsxg. Give prob of picking 3 w and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 = -o, 22*o - 26*o + 21 = -3*d. Let r be 30\/9 + (-4)\/(-6). Solve -p - 10 = -r*n, n - o = p - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.0000038 + 48. What is x rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -50*m**4 + 5*m**3 - 3*m - 322. Let h(n) = 99*n**4 - 7*n**3 + 5*n + 645. Let a(x) = -3*h(x) - 5*y(x). Differentiate a(q) with respect to q.\nAnswer: -188*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 696 and 12760.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d = 21*d + 8. Suppose -s = -0*s - 5*m + 32, -m = s + d. Sort -5, 0, s in descending order.\nAnswer: 0, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 - 10*p - 10. Suppose 0 = -7*k + 3*k + 24. Let d = -13 + k. Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -22280247?\nAnswer: -1\/2475583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.62671 - 0.12671. What is the fourth smallest value in -2\/23, -98, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 451 divided by 13049\nAnswer: 451\/13049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -827 and 3?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u. Let i(j) = -j**3 - 4*j**2 + 7*j + 4. Let k be i(-5). Let w be (-14)\/((-15)\/k + -3). Let r(m) = m - w + 28. Calculate n(r(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2 + g. Let w be 6\/(-15) + 24\/10. Let q be w + 0 - (-4 - -7). What is the units digit of a(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*i - 25 = 0, -3 = t - 2*i - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = -0. Sort s, -1, 1, -3 in ascending order.\nAnswer: -3, -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2\/(-4)*5. Let t = -4 + 39. Let k = -31 + t. Sort a, -1, k in decreasing order.\nAnswer: k, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c + 55*c - 4384 = -0*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dydddddcydydyyydd. Give prob of picking 2 y.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 6*d - 4. Let j be v(-3). Suppose -2*w - 5*h - 2 = -11, -3 = w - j*h. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12802 divided by -173?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Let i = u - -1. Suppose -l = -i*l. Solve 20 = -4*y - l*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from {t: 2, s: 1, y: 1, w: 2, l: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-2 + 16 + -33) - -89) + -11.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2183 and 630129499?\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 9 - 4 = m, 2*x = -m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 9. Let d = 81 - 89. Let p be h(d). Is -1\/28 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695059 - 2*v**3 + 695059.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.69 - 0.19. Let t = -1.5 + k. Let l = t + -8.0048. What is l rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q)\/q**(-8)*q**6\/((q*q**5*q)\/q) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14278 and 3245?\nAnswer: 71390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391.84877 - -383.849. Let m = g + 8. Round m to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -59. Let z be 2*(g - 1) + (11 - 12). Which is greater: z or -1\/96?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2650 and -0.193?\nAnswer: 2650.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433, 428, 421, 412?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-3)*(-138)\/(-299)*104\/32\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1708 and -101\/32.\nAnswer: 13664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v - 136. Give j(37).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 8*o + 4. Let x = 3 - 12. Let l be j(x). Let u = l + 38. What is the remainder when u is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/33 and -20\/1467?\nAnswer: 16137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3094042?\nAnswer: 2, 7, 61, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*u**3 + 0 + 2 - 2 to the form r + w*u**2 + f*u + x*u**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/5*2*40\/(-24). Sort 1, w, 12.\nAnswer: 1, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64552 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*i = 1166, -5*x - 8*i + 10*i + 2907 = 0. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - -64)*20\/5*1 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6591617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 197. What is the tens digit of n(-38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 52260.\nAnswer: 52260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-1 - -7) - (196 - 169)) + -23\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2 - 7*b - 3. What is the remainder when 7 is divided by v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404 - 170 + u**2 + 0*u**2 - 11.\nAnswer: u**2 - 585","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, 2\/17, -4, -1\/79?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1.89.\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 13*o**2 + 12*o + 3. Suppose 0 = -6*l + l. Let p be l - (2\/2 - -11). What are the prime factors of k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*-174495.\nAnswer: 6630810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 119?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 500 = 5*b + 2*v, -5*v + 400 = 4*b. Find the first derivative of -27*d - 28*d + b - 70*d**2 + 54*d wrt d.\nAnswer: -140*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 <= 0.3859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53198124 by -21.\nAnswer: 2533244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) -1.5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**7\/42 + 5*y**6\/12 - 13*y**5\/4 - 2*y**2 - 76*y. Find s such that p(s) = 0.\nAnswer: -13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/45, -1.4, -2 in descending order.\nAnswer: 2\/45, -0.2, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12*3 - -3. Let d(m) = j - 8 + 4 + 23*m. Let r(p) = p. What is r(d(x))?\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252) + sqrt(63) + -2)**2 + -4.\nAnswer: -36*sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023701 to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:11 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (-2 + (-47)\/(-3))\/(3\/9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86173441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3412016 + 0?\nAnswer: -3412016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54272*k**4*s + k**3*s + 19*k*s + 550*s wrt k.\nAnswer: 651264*k**2*s + 6*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 4 = 0. Solve 0 = 4*u - f*i + 12, 3*u - i = 6*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 less than or equal to -1263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrf when three letters picked without replacement from drdrdrfrddddddrdrr.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 18589280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 - 10. Let z be k(-4). Suppose z*f = -51 + 15. Let d(w) = w**2 + 5*w - 4. What is d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -n - 2*v + 102, -3*n = -3*v - 318. Let l = n + -106. Solve 3*m + 0*z + 4*z = 6, 0 = -m + l*z - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x + 76 = 0. Let i = 35 + x. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1274778 by -6.\nAnswer: 212463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*u - 476 = 56*u. Let n = 0.2 - 0. Which is the third biggest value? (a) n (b) -5 (c) u (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - r + 415 = -5, 4*j - 573 = 3*r. Round j to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 51, 69, 103, 159?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 4*s + 2*s**3 + 156 - 163 - 2*s**2 to m*s**2 + g*s + w*s**3 + o and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*p**3 + 321*p**3 + 55*p**3 + 3 + 466*p**3.\nAnswer: 652*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + (-4 - -10) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -816552 divided by -6?\nAnswer: 136092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.72.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71.21 - 68174.\nAnswer: -68245.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(104)*-2)\/(sqrt(24)\/sqrt(3)*1) + ((2 + sqrt(1872))*-5*-1 + 5)**2.\nAnswer: 1794*sqrt(13) + 47025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5664*v**6 - 3*v**4*x - 43*v**3*x - 4*v**2*x + 8*v**2 - 2*v*x - 2*v - 9472 wrt v?\nAnswer: 679680*v**3 - 72*v*x - 258*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3\/4 (b) 8 (c) -0.21 (d) 0.3 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13*s + 194. Let o be z(14). Let v(w) = 5*w**2 + 11*w - 142. What are the prime factors of v(o)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - a**2 + 1. Let u(k) = k**2 + 7*k + 6. Let o be u(-5). Is j(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -340 in ascending order.\nAnswer: -340, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 3*z + 18, -37*h = -42*h + 3*z + 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.2, -2\/560073, 3?\nAnswer: -2\/560073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l**2 - 4*l + 4. Let f(a) = a**2 + a - 1. Let p(r) = 3*f(r) + j(r). Determine p(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3421 - -11?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from {e: 1, h: 2, i: 5, u: 1, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8568977035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.24627143 rounded to 4 dps?\nAnswer: 4.2463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -17*j**2 - 265*j + 3100. Give w(10).\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202466633?\nAnswer: 202466633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*q - 429*q - 890 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (306\/7140)\/(5\/(-50))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 25 = 0. Suppose -t*w - 122 = -y, -2*y + 169 = w + 4*w. Suppose i - z = 39, 2*i = -i - 2*z + y. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24515, -24528, -24543, -24560?\nAnswer: -24579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:21 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 3*q = -p + 8, p - 3*q + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c + 13*c + 202 + 11*c - 19*c. Is p(13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -41 - 11*b + 22 - 21 - 12. Determine p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001803851709 to 6 dps.\nAnswer: -0.001804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + -15 + 23 - -32) + 10 + -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**2 + 19*h**2 - 173*h**3 + 208*h**3 + 30*h**3 - 24*h**4 - 3*h**5 + 82*h**3 - 144*h = 0.\nAnswer: -12, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030 - 3*p**2 + 2*p - 2*p - 1030.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 14*a**2 - 23*a + 13. Let f be o(-12). Let t be (-9)\/f*6\/(-18). Let x(g) = 4*g + 1. Give x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/15*((590\/(-5502))\/(-59))\/(15\/18)?\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**4 - 244*z**3 - 11876*z**2 wrt z?\nAnswer: 144*z - 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, y: 7}. What is prob of picking 2 s and 1 y?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.83 - -9. Let j = a - 0.13. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Let o(a) = 5*a - a**q - 3*a - 1 - 3*a. Let s be 0*(-7 + (-140)\/(-21)). Calculate o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 427480.807349 - -0.3.\nAnswer: 427481.107349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpsuc. What is prob of sequence su?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234165479?\nAnswer: 211, 1109789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*m*x**2 + 7018*l**2*m*x - 10*l*m + l*x**2 - 4*m*x + 90*m wrt l?\nAnswer: 2*m*x**2 + 14036*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265752 and 2088.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -915, -2088, -3741, -5880, -8511, -11640?\nAnswer: -15273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1851584949 and 7.661.\nAnswer: -1851584941.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -2 (c) 1\/6 (d) -69 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290216357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 276748853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 61*d**3 + 4*d**2 - 2*d**2.\nAnswer: 61*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/26 in 1\/5, 4\/7, -1, -99\/14, -4\/3, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2076 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 0 + 0 + (-3 + 3 - 2)*(3*p - 2*p + 0*p) + 73*p + 1 - 12 + 13 - 70*p - 1296 + 1296 to the form b*p + x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 3*l + 74 = 5*s, h*l - 4*l + 40 = 4*s. What is the remainder when 49 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.1409636 - -92.374.\nAnswer: 47.2330364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*s**3 + 2*s**4 + 20*s**3 + (0*s + 0*s + s)*(3*s**2 - 145 + 145)*(-66 + s + 66) + 2*s**4 + s**4 - 4*s**4.\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142040 (base 5) in base 9?\nAnswer: -32461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -50094.61.\nAnswer: -30056.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/4)*o\/o**(-1)*o*o*o)\/((o**(2\/13)\/o)\/((o*o**6*o)\/o)))\/((o**(2\/9)*o**(-1\/5))\/(o**2*o**(3\/5))) assuming o is positive.\nAnswer: o**(40187\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84180 is divided by 565?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.895 + -0.105. Which is the fourth biggest value? (a) -0.3 (b) r (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 907757, 3631181, 8170269, 14525021, 22695437, 32681517?\n\"Answer: 907832*x**2 - 72*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 54*k**3 - 4*k**2 - 57*k. Let n(d) = 82*d**3 - 6*d**2 - 91*d. Determine -8*g(c) + 5*n(c).\nAnswer: -22*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + (0 - (3 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 129990?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33574240\/11 or 3052204?\nAnswer: 33574240\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 7. Let y(c) = 4*c**2 - 6. Calculate 5*r(w) - 6*y(w).\nAnswer: -4*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 413 + -327?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3301, -12986, -29127, -51724, -80777, -116286?\nAnswer: -158251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2866846.79909 - -2866861. Let z = d - 14.2. Round z to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:00 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(3*n**2 - 4*n**2 - 2*n**2)*(7 + 1 + 1).\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d + 18*d + 0*d - 6*d. Let g(c) = 5*c. Calculate g(n(t)).\nAnswer: 130*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:02 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqsqq. Give prob of sequence qq.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 36. Suppose -l*u - 2648 = o, u + 3*o + 184 = -340. Round u to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - -33. What is the highest common divisor of h and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 5*c**2 + 4*c - 10. Let z be w(-6). What is the first derivative of 56*m**2 + 55*m**z - 78*m**2 + 32 wrt m?\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2\/5 (c) 20\/13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4. Which is the closest to u? (a) -4 (b) -1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -4*(sqrt(88) + (1*sqrt(88) - sqrt(88) - sqrt(88))))\/(sqrt(32)\/sqrt(4)*3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.6 - 13. Let j = z + 0.4. Let n = -0.3 + 0.1. What is the second smallest value in 5, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/9 - 1284462*b**4 - 22272944857972*b**3\/9 - 1589399819537396860*b**2 - 28608347913366416538*b + 30197750207676748746 = 0. What is b?\nAnswer: -1926687, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2399*m + 2071*m - 4669*m.\nAnswer: -199*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t + 15. Let k be -3 + (-5)\/((-100)\/8)*10. Let r be p(k). Solve -r*b + 0*b + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2 + 0 - 1)*(0*o - 3*o + 0*o - 3).\nAnswer: -6*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(104)*-2 + sqrt(104))\/sqrt(8) - (sqrt(78)\/sqrt(150) + 3).\nAnswer: -3 + 54*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 0 - (-3 + 5). Let u(t) = i*t**2 - 2*t**2 - t**2 - t**2. Let d(n) = -8*n. What is u(d(m))?\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 + (-1 - -2) - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*z - 209. Let a = -5 + 15. Suppose u + z = 4*u - 5*g, -5*g = -a. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1729)\/494*(-104)\/(-14).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 f, and 1 o when three letters picked without replacement from {f: 6, q: 9, v: 1, o: 2, g: 1}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(-132)\/(-30). Which is the nearest to f? (a) -3 (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5\/4*w**4 + 0*w**3 + 10*w + 15\/2*w**2 + 15\/4 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-9) - (-12345)\/135. What is the highest common divisor of n and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 9\/2)*(-994)\/355?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 e, and 1 l when four letters picked without replacement from {b: 3, l: 9, i: 1, h: 2, e: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + 45\/5 + -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 82 - -3 - 0. Calculate the greatest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 22*o + 64. Is 68 a factor of z(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d**3\/d)\/d))\/d**6)\/(d**(-8)*d**7*d) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z + 41*z = 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122213 (base 4) in base 10?\nAnswer: -5799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131110222 + -1112?\nAnswer: -131112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 13) to base 8\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) 16617\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*i + 28, i - 2*i = -3*q + 28. What is the derivative of 3*w**4 - 4*w**4 + q*w**4 + 13 + 2 wrt w?\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27390 + 40?\nAnswer: -27350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 804 - -5b?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-316)\/(-8) - -1)*8\/6. Suppose -7*p - m = -13*p. Solve -63*x - p = -66*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 3, x: 1, j: 1, c: 1}. Give prob of sequence jm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 946435901?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -75. Suppose -4*r + c = -r. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1189.4 or -3\/22?\nAnswer: -1189.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 421*x**3 - x**2 + 4*x - 3. Let z be y(1). Let n(t) = t**3 - 7*t**2 + 7*t - 4. Let f be n(6). Suppose z = f*g - 333. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327 divided by 4.\nAnswer: 327\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -36) + (-1 - -2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/1061?\nAnswer: -4\/1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*p**3\/5 - 166*p**2\/5 - 92*p - 30.\nAnswer: -2*(p + 5)**2*(8*p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47\/638 + -1\/58. Let y = -70 - -38. Sort g, y, -3, 0 in decreasing order.\nAnswer: 0, g, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfca when four letters picked without replacement from {f: 11, c: 2, a: 1, j: 1, t: 4}.\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 10. Let t be (-4 + i\/3)\/(2\/(-6)). Find b, given that 2\/5*b**4 + 4\/5 - t*b**3 + 18\/5*b**2 - 14\/5*b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 68, 97, 124?\n\"Answer: -s**2 + 34*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 + -90. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 3130?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-105)*2\/(-180)*-5.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42169607 by -779.\nAnswer: 54133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*h = -188*h + 56*h - 1320 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 - -169. Suppose 5*o - 28 = -y, s*y - 5*o + 4 = -12. Let b be (-7)\/(-4) - (-10)\/40. Solve h - 2*u = -y*h + 22, b*u + 26 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 16*s - 45 = 0. Suppose 3*h - j - 3690 = j, s*h - 6143 = j. List the prime factors of h.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91.1 - -97. Let r = g + -5.6. What is the closest to 0 in 0, r, -0.34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 7*o**2 + 5*o - 10. Calculate c(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -382?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 60 = 8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc95c75 - 0?\nAnswer: -bc95c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 9*r + 24*r + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -9 - -11 - 8) + 34\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 335 - 341 - 123*d**2 + 118*d - 117*d as j + s*d + f*d**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 327750748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**3 - 139*h**2 + 70*h - 313. Let f be p(17). Let k be 2\/(4 + -2 - 1). Factor 25\/2*t**k + 15\/4*t**3 - f + 5*t.\nAnswer: 5*(t + 2)**2*(3*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201190284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 45328\nAnswer: 589264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5682453 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 650420219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/10 and 17\/17246965?\nAnswer: 34493930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4835, -4832, -4827, -4820, -4811?\n\"Answer: o**2 - 4836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/54 - 1\/54. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 11 = u - 18, 3*u + 3 = -g. What is the closest to 7 in -1, -5, u, -1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1138308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 39*o + 43. Let g be w(20). Which is greater: -338 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5872797442 to the power of 1\/3, to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) -0.04 (b) 17 (c) 2\/69 (d) -3\/2 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35976404, -35976403, -35976402?\nAnswer: -35976401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqnanoqnaanbnkakkaaq. What is prob of picking 1 q and 2 k?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12 - 143\/156.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + 6*(sqrt(13) + sqrt(39)\/sqrt(3)) + ((sqrt(91)\/sqrt(7) - sqrt(13)) + -1)**2 + -3)*6.\nAnswer: -60 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 943 - 0.0087.\nAnswer: 942.9913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 - 205*o + 430 = 0.\nAnswer: -43, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a0 (base 11) to base 6.\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v)*(-5 - 1 + 4)*(-2*v + 4*v + 0*v) + (3*v - 4*v - v)*(-3 + v + 3) - v**2 + 0*v**2 - v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + k = 5*w - 1, -2*w = 5*k + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 y when four letters picked without replacement from svsssvivyssisi?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 6 - 3 + b**3 + 0*b**2. Let q be k(5). Let n(p) = p - 1. Let o be n(6). Solve -o*v - 7 - 3 = 0, 13 = q*j - 2*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a892 - 4?\nAnswer: -3a896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 - (-16 + 20) - -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/7, 0.5, -32928 in decreasing order.\nAnswer: 0.5, -24\/7, -32928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 474060, 5\/2, -0.01?\nAnswer: 474060","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307122863 and 705165?\nAnswer: 4606842945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/16 - (-6)\/(-8). Let i be (-4 + 6 - p) + -8. Let w be 3*12\/(-21) + 2. Which is the biggest value? (a) w (b) -0.1 (c) i (d) -30\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/23*(((-156)\/(-12))\/(-13))\/19.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**5\/j*j))\/j*j*(j\/((j\/(j*j\/(j\/(j**13\/j))))\/j*j))\/j assuming j is positive.\nAnswer: j**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.7197048 to two decimal places.\nAnswer: -34.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 99 = 3*f - m, 2*m = 4*f + 106. Let h be (-20)\/(-8)*f\/(-5). Solve -5*x + 1 = -h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7063647 millimeters to centimeters.\nAnswer: 0.07063647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12988135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3985308775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/10)\/((-1)\/(-2)). Let g = 14 + -16. Which is the nearest to g? (a) n (b) -0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 361682075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + b**4 + b**4 + (-2*b + b**3 + 2*b)*(-10*b - 3*b - 22*b).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzhzozc. Give prob of picking 1 c and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1437620*j**3 + 2*j**2 - 3*j - 7059838 wrt j.\nAnswer: 8625720*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 17*q + 45*q**2 - 58*q**2 - q**3 - 2*q + 2. Let u be s(-14). What is the derivative of 19*y**2 + y**2 + u + 14 wrt y?\nAnswer: 40*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 - -843 - (-29 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 3, c: 7, f: 6}. What is prob of sequence fcrl?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4722214.53 rounded to the nearest one hundred?\nAnswer: 4722200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-180))\/((-111)\/(-6660)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:34 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -910*y**2 - 7*y + 15. Let h be k(4). What is h rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.53 and 196.8.\nAnswer: 190.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*j - 68 = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -904 - 1252. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 7*b**2 - 5*b + 1. Let o be g(5). Let p(x) = 41*x - 16. Let s be p(3). Let w = o + s. Solve -3*n = 2*n - 4*a + w, -4 = -2*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*n**2 + 155*n**2 - 440*n**2 + (3*n - 2*n - 2*n)*(-4*n + 0*n + 3*n).\nAnswer: -187*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 88*z**2 + 193*z - 613. What is the hundreds digit of f(83)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5 - 184*m**4\/7 + 391*m**3\/7 - 367*m**2\/7 + 157*m\/7 - 25\/7 = 0.\nAnswer: 1\/2, 1, 25\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2520 - (28\/(-7) - (-1 - 3)). Calculate the remainder when v\/(-13) - 18\/(-117) is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68932 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2786859725948457*g - g**3 - 2786859725948457*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11209188183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -292007739 divided by 3\nAnswer: -97335913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 + r + 6. Let o = -838 - -859. Calculate the remainder when j(5) is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 17*y**2 + 23*y - 2. Let z be s(-18). Let j = -79 - z. Sort -4, -2, j in increasing order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 328 - 294. Let g = j - 29. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 at most 211\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 33. Let v(c) = -c**3 + 11*c + 28*c**2 + 26*c**2 + 7 - 44*c**2. What is the units digit of v(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 68*l - 1514. What is a(21)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971535808?\nAnswer: 2, 43, 491, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*o**6 - 7*o**5*p**3 - 14*o**2*p**3 + o**2*p + 3*o*p**3 wrt o.\nAnswer: 7200*o**3 - 420*o**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 468.71 or -354?\nAnswer: 468.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3108 - -3232. What is the greatest common factor of v and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 120 and 8602.\nAnswer: 8722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x - 10. Let d be u(7). Let s = -72 + d. Suppose 2*l - 5*t - 58 = -l, -3*l - 2*t = -s. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -894?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1503.\nAnswer: -7515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211011111 (base 3) to base 11.\nAnswer: -51561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-8)\/((-192)\/54). What is the biggest value in x, -10, -5, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 14 (c) -5 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 2*g + 1. Let x be y(2). What is the tens digit of 7 - (x + -398 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + u + 7. Let o be p(10). Let w = 124 + o. Let x = 30 - w. Are x and -11 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 6*y - 65. What is the tens digit of g(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*n + 124 - 110, -n - m = 0. Solve -n*j - 9*q = -6*q + 14, -5*q - 14 = 2*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l - 994 = -3*m, -606 = -3*l + 3*m. Let j be (2\/(-5))\/((-32)\/l). Let k = 0.02 + -5.02. What is the nearest to 1 in 3, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*y - 59*y - 91 - 89 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30219 - 90218 = -17*l + 18643. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f - 25. Is u(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*k + 3, 5*a + 2 = 15*k - 13*k. Let f = -21003061 - -1197205825\/57. Let h = f - 550. Is k != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 24 - (25 + -8 - 6)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2. Let b(u) = 4*u + 3148276. What is b(n(r))?\nAnswer: -12*r**2 + 3148276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j + 1. Let a(u) = -66*u + 39*u + 4 + 39*u. Let o(v) = -5*a(v) + 14*w(v). Let g(x) = -7*x - 11. Give 3*g(i) - 5*o(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxx when three letters picked without replacement from nxxxxxxnnxnn?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43203206?\nAnswer: 2, 21601603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 114*o**2 - 11*o + 28195. Give f(116).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 8. Suppose 8 = -4*h + u*h. Solve -h*n = 8 + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r. Let k(z) = 13*z**2. Calculate k(y(u)).\nAnswer: 832*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-2 - -4)\/6. Suppose v = -3*c + 12 - 3. Solve 3*y = -s + 5, 0*s - c*s = 2*y - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(75\/(-1980)*11)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**3 + 0*p**2 - p**2 + 12*p**3 + 0*p**2 to k*p**2 + m*p + c + i*p**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110805.8 times -7\nAnswer: -775640.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15282 (base 9) to base 13\nAnswer: 49a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 2. Suppose 0 = -3*b + 3*p, 2*p - p + 12 = 5*b. Determine s(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*a + 11. Let n = 46 + a. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 38*k**3 - 1. Let d(r) = -115*r**3 + 4. What is -2*d(y) - 7*m(y)?\nAnswer: -36*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**3 + 3*c**2 + 12*c - 9. Let z(w) = 11*w**3 - 2*w**2 - 10*w + 7. What is -4*n(q) - 5*z(q)?\nAnswer: -11*q**3 - 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Let v(o) be the third derivative of -673*o**4\/12 - o**2 + 113*o + 12. Determine v(h(m)).\nAnswer: -1346*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x - 13. Let r = 22 - 19. Is 23 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 120*q**2 + 2715*q - 2713*q.\nAnswer: 120*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 38*t - 3694. Solve t*g - 22 = 78*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + 0*j**4 - 2*j**4)*(2 + 0 - 1) - 52 + 2*j**4 + 52.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 3. Let l be q(-6). Let a be (-2)\/l - (-3)\/(-270)*26. Is -1 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 18. Let h be f(14). Calculate the highest common divisor of h and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.2 + 67.1. Let n be 0\/(-104) + (2*-1)\/(-6). Which is the closest to j? (a) -0.3 (b) 10 (c) -1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.167632 centuries?\nAnswer: 0.0167632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**3 - 3*x + 2. Let u(v) = -7*v**3 - 2*v + 3. Let r(f) = 3*p(f) - 2*u(f). What is the second derivative of r(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-7 - 76 - -7) + 14 + (-9 - 6)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-18) - 0)*-3. Let b = 31 + -30.92. Let u = 0.12 - b. What is the fourth smallest value in -5, -1, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 313 - 572. Let j = 260 + m. Which is the nearest to j? (a) -4 (b) 2\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452871 is divided by 226299.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/21))\/y*y**(13\/4)*((y\/y**(-3\/2))\/y)**23 assuming y is positive.\nAnswer: y**(3163\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 3*k - 4*k - 5 + 6. Let f(i) = i**2 + 20*i - 98. Let a be (-56)\/(-6)*342\/(-133). Let s be f(a). Let w(o) = -o**3 + 2*o - 2. Give s*b(m) - w(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12583220 = 148*r - 12592692 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83*(-9)\/(-53784))\/((-10)\/32)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/1*(-2 - -4). Suppose -4*g = 5*u - 127, -3*g + n*u + 103 = -0*u. Is 33 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 161\/3. Let j = 4119 - 4134. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 + 3*z**4 + 52 + (-3*z**2 + z**3 + 3*z**2)*(2*z + 3 - 3) + (4*z**2 + 2*z**2 - 4*z**2)*(-2*z + 2*z + z)*(z + 0*z - 12*z).\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (120\/70)\/(2\/14) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:02 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 591, 820, 1009, 1140, 1195?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/8 + 237*l**2\/8 + 59*l\/2 = 0. What is l?\nAnswer: -236, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*n + 15, 2*n - 10 = 2*f + f. Suppose 4*z - 2*z + h = -45, -h = 4*z + 93. Let b be (2\/40)\/(9\/z). Is b greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -2 (c) 37 (d) -0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(2*n - n - 2*n) as i*n + c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 3*o = 2*o. Solve -g + 2*v - 4 = o, 3*g - 16 = 2*g - 3*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**4\/2 + 59774*z**3 - 17078*z**2.\nAnswer: -z**2*(z - 17078)*(7*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120.95 - 121. What is the third biggest value in x, 1\/4, 1, 3\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let t be 70\/8 + (-4 - (-65)\/20). Let f be (1 + 2)*t\/40*35. Solve 5*j + 4*n = -n - 25, -j - 5*n - f = p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -6. Suppose 0 = 5*n - 3*z - 9, -5*n + 2*z + h = -3*z. Which is smaller: 4\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.301, 1\/5, -1.8, 3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -87. Factor -39*h**2 - 405 - 58*h + 148*h + y*h**2.\nAnswer: -5*(h - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1212 - 5?\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**2 + 1\/60*s**5 + 0 + 2\/3*s**3 + 0*s + 5\/24*s**4. What is the units digit of g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 - 46*y + 307. Let u be o(6). Let x be (-21)\/(-12) + (-2)\/(-8). Let l(a) = -a + 4 + 3*a + x. Give l(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 1023205447.\nAnswer: -1023205447.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2790 and 6052905.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 82?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**4*c - 3*b**4 + 248*b**2*c - 3*b*c - 124*b + 65*c wrt b?\nAnswer: 60*b**2*c - 36*b**2 + 496*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {u: 2, z: 4, g: 1, a: 7}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*q + 30710 = 174*q + 69847 + 34899 for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6*(-2)\/(-4) + (-110)\/(-15) and -8\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6490 is divided by 1620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 75\/61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413786?\nAnswer: 2, 313, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -557\/36 + 61\/4. What is the second smallest value in -0.1, -2\/3, -4, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 24 = -27*g + 31*g, g + 18 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2263633 (base 10) to base 6.\nAnswer: -120303441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4281516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 1 - 7 - -4. Solve -6*h - 2*t + 18 = -2*h, -v*h - 5*t + 21 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*p + 29*p - 44*p + 13*p)*(2 + 1 - 1) to x + f*p and give f.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67075 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.1 (c) -1.0636\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*v = -32, 0 = -4*s + 3*s - 4*v - 11. Let b(q) = 4 + 3*q - q - s*q + q. Calculate the smallest common multiple of 6 and b(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122050 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2402 + -31?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -20. Let g = i - 39.96. Which is the third smallest value? (a) -5 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2505 + 747505. Round f to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -93, -160, -245, -348?\n\"Answer: -9*y**2 - 22*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*q + 24*d + 19*d + 266, 0 = -2*q + 5*d - 118 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258284716*y**4 + 210270423*y**2?\nAnswer: 6198833184*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*j - 3*d, 7*j - d = 3*j - 59. Let k be j\/(-4) - (-1)\/4. Put 1, k, 0 in descending order.\nAnswer: k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810622 is divided by 1916.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 296*p**4 + 314.\nAnswer: 1184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 173*t**3 - 140113*t**2 + 28362555*t + 2788425 = 0.\nAnswer: -17\/173, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23 - 11049\/(-435) - 163\/(-30) and (-25)\/(-141)*8\/(-5)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 1}. Give prob of picking 1 n and 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521323938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, z: 6, q: 7}. Give prob of sequence zqzq.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2758 and 312836?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 46 = 4*u, x + 61 = 4*u - 0*x. Solve -5*c = -2*g - 11 - u, 20 = 4*c - 4*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6281, 12546, 18801, 25040, 31257, 37446, 43601?\nAnswer: 49716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of -4*(((-9)\/15)\/(-1) + 140466\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15\/j*j**(-35))\/(j**(-3\/38)*j**(-36)) assuming j is positive.\nAnswer: j**(573\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0*o**2 - 2*o**3 - 3*o**2 + o - o - 2*o. Let d(f) = 6*f**3 + 8*f**2 + 5*f. Give 3*d(z) + 8*r(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -252*s - 11309. Let d be r(-45). Solve d*x - 77 = 42*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = -1188 + 1548. Solve 0 = 6*f - 8*f - 3*g - 4, -5*g - j = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 1 + sqrt(1331) - (2 + sqrt(33)\/sqrt(3) + 4 + sqrt(11)*-2))*-1 + 5)*2)**2.\nAnswer: -672*sqrt(11) + 6532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 31358, 24 in descending order.\nAnswer: 31358, 24, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 33 = -4*z, -2*r - 119 = 3*z - 142 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 6:44 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -7*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 16*v**2 + 4*v)*(0 + 7 - 2).\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -0.4, -1, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 226)*(-42)\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34043000 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2 - ((-756)\/(-77) - 11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -1?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(3*14\/(-6) + 6). Sort -3, b, 6.\nAnswer: -3, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 96328020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence graa when four letters picked without replacement from aaygrgg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by 530\nAnswer: 104\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -484032*f**3 + 564013*f?\nAnswer: -2904192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o*o**(-6)*o)\/((o*o**5)\/o**(-2\/11)) assuming o is positive.\nAnswer: o**(-134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*d + 28096 - 28075 = 0, -c - 2*d + 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -525*g. Let q(y) be the first derivative of y**2 - 77. Give c(q(r)).\nAnswer: -1050*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*k + 23, 0 = -k + a - 2*a - 1. Calculate the remainder when -771*3\/(-18)*k is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/12 and 6 + (12 - (-45018)\/(-2457)).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 17*o**4\/24 - 7*o**3\/2 + 10*o**2 + 52*o. Let p(d) be the first derivative of i(d). Find the first derivative of p(a) wrt a.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r - r**3 + 6 - 4 + 7*r**2 + 3. Let q(y) be the third derivative of y**5\/60 + y**4\/24 + y**3\/6 - 2*y**2. Let c(v) = -3*a(v) + 15*q(v). Factor c(t).\nAnswer: 3*t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221031032 (base 4) in base 14?\nAnswer: 4571c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 - 7*l**5\/60 + l**4\/4 - l**3\/2 - 8*l**2. Let t be a(6). List the prime factors of (30 - -1) + (t - -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.041, -0.0544, 2 in increasing order.\nAnswer: -0.0544, -0.041, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - ((-72 - -20) + -9 + 2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 857959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 - 2454*i + 24565\/2 = 0. What is i?\nAnswer: -4913, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*q + 4, 7*r = 2*r - 2*q + 14. Suppose 5*v - s + 19 = 77, -r*s = 12. Calculate the remainder when 21 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 219, 431, 649, 873, 1103?\n\"Answer: 3*y**2 + 203*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/23))**44 assuming k is positive.\nAnswer: k**(924\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 153537 = 14*u, 2*u + 508437 = 5*k - 259520. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -16, -3*n + 19*b - 24*b = -616. Calculate the remainder when n is divided by (2 - 0)\/((-4)\/(-26)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -20. Suppose 0 = 4*u + 12. Sort u, 4, h in decreasing order.\nAnswer: 4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4199 - 2*o**2 + 66938*o - 66938*o + 3*o**2 in the form w + b*o**2 + a*o and give w.\nAnswer: 4199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27\/82 + -67\/328. Let r = -25 - -14. Let i = r + 11.5. What is the closest to 0.1 in 0.3, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1. Let i(x) = -x**2 + 7. Let z(n) = i(n) + 3*j(n). Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q**2 - 312*q + 592. Give v(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 344\/129 + (-49)\/(-3). Solve -3 = -4*u - r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2579 - 16b?\nAnswer: 240e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2 - 10*s - 8. Suppose -3 = 2*v - 0*c + 3*c, 0 = 4*v + 3*c + 15. Let a be z(v). Calculate the highest common divisor of a and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/126? (a) 0.4 (b) 6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275 + 421 = 9*f + 52*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/342 and -127\/342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/207 and 11\/348289.\nAnswer: 3134601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6715546446?\nAnswer: 2, 3, 7, 159893963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:06 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054262.\nAnswer: 2, 11, 173, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 12*t + 1545 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from ggoogoogjoitoooooo.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*h + 69*h**2 - 72*h - 400*h**2 + 144*h to p*h + f + g*h**2 and give g.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - 31 - (6 + 13 + (-4 - (-15 + 8))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + -7) - (-3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 - 7*x**2 + x + 20 - 29*x**2 + 0*x**2 - 20*x**2.\nAnswer: -45*x**2 + x + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -122 + 2006 + -1952.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -1016, -1528, -2042?\nAnswer: -2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120\/750*5\/(-1)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -386 divided by -19447\nAnswer: 386\/19447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15*7\/(-126))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -291 - -3?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/((-168)\/3332*(-14)\/4). Solve v = -13*z + 30*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hppu when four letters picked without replacement from {h: 3, u: 1, y: 1, p: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + k**2 + 4*k + 3. Let c be d(-2). Suppose 18*j - 105 = c*j. Calculate the remainder when 139 is divided by j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let c be 1\/(-6) - (-2 + 0)\/12. Put -0.1, -4, c, f in decreasing order.\nAnswer: f, c, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(272) + (sqrt(272) + (sqrt(272) - (0 + sqrt(272))))*6 - -1*sqrt(119)\/sqrt(7)*3))*1.\nAnswer: 1 + 31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103413534 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 123, 620, 1971, 4602, 8939?\n\"Answer: 71*g**3 + g**2 - 3*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + 2*q)*(3*q + 0*q + 0*q + (5 - 4 - 3)*(-2*q + 2*q - 2*q) - 2*q + 0*q - 3*q + (-4 + 2 + 1 + (0 + 1 + 5)*(-6 + 1 + 2))*(4*q + 0*q - 3*q)).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36681209 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 - 11*c + 2. Let r be z(5). Suppose -r = -u + 37. Let y be 86\/u + (-18 - -17). Is 1 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -947.\nAnswer: -9\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -17.4. Let w = v - 16.8. What is the closest to 0.06 in -0.3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*j + 8 = 0, 68*c - 73*c + 3*j = 1 - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1497*f**5 - 3*f**2 - 172 wrt f.\nAnswer: 89820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4*w - 4577767*f**3*w**2 + 11*f*w + 1554*f - 120*w**2 + 2*w + 2 wrt f?\nAnswer: 24*f**2*w - 27466602*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1686*k**3 - 1588 wrt k?\nAnswer: 5058*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 4. Let k be g(-5). Let q = k + -9. Sort 3, -1, q in descending order.\nAnswer: 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*5 - sqrt(144)\/sqrt(150))\/(-1*sqrt(1200) + (sqrt(108)*-2 + sqrt(108) - sqrt(108))).\nAnswer: -37*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 243*r**2 + 869*r - 788. What is the derivative of x(l) wrt l?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (868\/15)\/4 + (0\/14 - 15).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*o + 540*o - 57*o)*(-6 + 1 - 1)*(1 + 1 + 0) + (1 - 2 + 0)*(4*o - 5*o - o) as c + y*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 8*g - 10*g. Suppose r = -g + 12. Solve 4*m - d = -5, 4*m + r*d = -14 - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(304) + (sqrt(304) - -4*sqrt(304)*-2) + (-2*sqrt(76)*-1)\/sqrt(4))**2*-2.\nAnswer: -18394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7514063 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1946, -1947, -1940, -1919, -1878, -1811, -1712?\n\"Answer: k**3 - 2*k**2 - 2*k - 1943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129153*b + 65177*b - 164600*b - 155464*b.\nAnswer: -384040*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322895362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4077666t to milligrams.\nAnswer: 407766600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397942 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 1 - 48*y**2 + 95*y**2 - 49*y**2 to the form g*y**2 + s*y + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = q - 164, 2*q + 3*s + 215 - 101 = -0*s + 199 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (460\/(-184))\/(-5)*(-3)\/9*105\/(-2).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-258)\/(-54) - 4*(-1)\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 + 17*y**2\/2 + 16*y + 7. Let z be b(-16). Which is greater: z or -6\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878195 divided by -575639?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 163790a (base 11) in base 6?\nAnswer: 135502514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -678334876050754437 + 678334870487567993.99999946. Let i = 5563186397 + o. Let w = -46 - i. Round w to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 - 50*i**2 - 20*i**2 + i**3 - 5*i**3 + 2*i**4 to a*i + p*i**4 + g + j*i**3 + l*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.6 - -6. Let y = -0.59999976 - o. Round y to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0*m - 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8870022875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (372\/10)\/((-10)\/25). Let d = 99 + i. Let t = -54 + 84. What is the highest common factor of d and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -j + 4*j. Suppose -8 = 2*g - 4. Let n be g\/(-4) + j\/(-4). Solve 0 = -n*u - q + 4, u + 0*u - 5*q + 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17597 - 70467\/4. Find the common denominator of 1 + (0 - 191\/42) and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513526 - 2689918 = -3*i. Let g = -125466 + i. Suppose w - 199999 = -x, -3*w + 6*w + 2*x = g. Round w to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t + 111. Determine f(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 877138*q**3 - 463974 with respect to q.\nAnswer: 2631414*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from gaaaaag?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7992103 + 207*r**3 - 7992103.\nAnswer: 207*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (9 - (13 + -1))) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16354967 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1920, -1926, -1946, -1986, -2052, -2150, -2286, -2466?\n\"Answer: -v**3 - v**2 + 4*v - 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -30c?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93\/5 + -18. What is the smallest value in -6, g, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:39 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*f - f. Let x = f + -8. Suppose -x = -4*l - 5*h, l - 4*l + 52 = -4*h. Calculate the smallest common multiple of l and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2048 or 163743\/80?\nAnswer: 2048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 1:22 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 11. Let a(s) = -s**2 + 8*s + 9. Let m be a(8). Let z be x(m). Suppose -3*d - z = -6*d - u, 5*u = 5*d - 55. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -235 - -80. Let j = -155.2 - y. What is the second biggest value in -0.1, j, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3666330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 22. Let i be -1 + -1 + (-1 - -1). What is the closest to 2\/7 in p, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 4*m + 4*x + 2048, m - 517 = -4*x. List the prime factors of ((-2)\/(-2))\/(9\/m).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 - 2 = -5*p, -p = 3*b - 59. Let c be ((-12)\/b)\/(4\/(-14)). Solve m + 8 = 4*z + c*m, 0 = 3*z + m - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15c73a3 + 3?\nAnswer: 15c73a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120221 + -3124?\nAnswer: 112042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 62?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24801 + 56804. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**(-4)))\/(d\/d**(-2)))\/(d*d**6\/d*d**(6\/5)))**21)**(-4\/15) assuming d is positive.\nAnswer: d**(868\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 120. Suppose q + f + 5 = y, 5*f - 25 = 0. What is the lowest common multiple of 10*(2 - q\/10) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, r: 5}. Give prob of picking 4 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {q: 1, e: 11, c: 1, x: 3, w: 1, y: 2}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7 = 5*z, 4*z - 3*n + 19 - 8 = 0. Sort 4\/3, 32, z in decreasing order.\nAnswer: 32, 4\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 50*k + 384. Let t be c(-31). Solve 3*q + 2*d + t - 2 = 0, -3*d = -3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*j**2 - 90*j**2 - 93*j**2 - 110*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2. Let a(h) = -22*h**2 + 2. Determine a(v) - 5*y(v).\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-2*s + 4*s - s) + (1 + 0 + 0)*(4*s - 3*s - 2*s) + 2 - s - 2 - 22*s - 29 + 29 to the form w*s + g and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o*o**(3\/2)\/o)**(-1\/58) assuming o is positive.\nAnswer: o**(7\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a hour in seconds?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48b (base 12) to base 11\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**2 - 54*u + 8. Let a be h(-5). Let f be (-5)\/(-3) + -1 + a\/(-141). What is the third biggest value in -2, 1.74, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12 (b) 0.3 (c) 0.13 (d) 10 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2340040144 - 143?\nAnswer: -2340040342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*q**4 - 7*q + 5.\nAnswer: 204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1.3, 3\/16, 0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102335 (base 12) in base 6?\nAnswer: -5230105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, -10, 21, -2\/3 in decreasing order.\nAnswer: 21, 0.5, 0, -2\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let c = p + 5. Suppose 0 = 2*g + 2*g - c. Solve -m = -g, -5*i = -m - 0*m - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151244.28 months to centuries.\nAnswer: 126.0369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -1)\/(-5 - (-3355)\/748). Let y = l + -23\/7. Which is the nearest to 0? (a) 3 (b) -8\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**6\/30 - r**5\/120 - r**3\/3 - 3*r. Let f(x) be the second derivative of j(x). Determine f(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -36*p - 12*p**3 + 36*p - 5*p**3 + 13*p + p**2 + 20. Is u(-4) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -24*c + 45. Let z(s) = 6*s - 11. Let a(b) = -4*p(b) - 15*z(b). Suppose -5*f + 27 = o - f, o = 4*f - 5. Is a(o) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3 + 8*n**2 - 60*n - 144 = 0?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.11419 micrograms to grams.\nAnswer: 0.00000911419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3318)\/140*(-1)\/(-27) and -83\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799333001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*k + 3, 0*i + 2*k = 2*i - 2. Let x be (4\/(-6) + 0)\/(146\/219). Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.277*-1213939.\nAnswer: 336261.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1850 - -1849. What is the closest to 18\/7 in 2\/13, f, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f + 1. Let u be l(6). Let v = 80 - u. Let t = -6725 - -6785. What is the remainder when t is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*q**4 + 7*q**2 + 128*q**4 + 1848*q**3 - 1851*q**3 as d*q + f*q**3 + p + c*q**2 + a*q**4 and give a.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q - 12. Let u(l) = -9*l**3 - 3*l**2 - 9*l + 7. Let v(x) = -4*x**3 - 2*x**2 - 5*x + 4. Let t(c) = q*u(c) + 7*v(c). Calculate t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -507101, -1014225, -1521351, -2028479?\n\"Answer: -t**2 - 507121*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**3 - 5*t**2 - t + 1. Let w be p(7). Calculate the greatest common divisor of 38 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 15451?\nAnswer: 46353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + (-39)\/(-18)*7 and 23\/7641.\nAnswer: 15282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34960 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*190632359\nAnswer: 381264718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.5746 to 1 decimal place.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p + 51 = 0. Let r(q) = q**2 + 15*q + 3. What is the tens digit of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483096.\nAnswer: 2, 89, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38980 - 38980. Let v = -5 + 6. Which is the nearest to 2\/7? (a) 36 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 970\/60 - ((-913)\/66 - -14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45\/47, -3, 2, -3238, -4, 1 in descending order.\nAnswer: 2, 1, 45\/47, -3, -4, -3238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 3*j + 4. Suppose 0 = a - 3*a - 8. Let n be g(a). What is the second smallest value in 2\/5, n, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -279970589.5 and 1.7948.\nAnswer: -279970587.7052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 202012*q**2. Let h(i) = -3*i. Determine z(h(t)).\nAnswer: 1818108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(105\/(-30)))\/((-2)\/(-9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135.6 - 136. Let h be -2 + 14*2\/12. What is the smallest value in r, h, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + ((2\/(-4)*-2)\/(-468 + 467))\/1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j**2. Let w(c) = 3*c + 3. Let m(p) = 4*p + 2. Let k(d) = 3*m(d) - 2*w(d). Let q(f) = f. Let i(x) = -k(x) + q(x). Calculate i(z(y)).\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -161325*m**5 + 3065185*m**4 - 2904040*m**3 + 180*m**2 = 0. Calculate m.\nAnswer: 0, 2\/32265, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1570015486 and 1482.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/2 + 3*y**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 11. What is h(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 4. Let r be g(16). Let s be ((-13)\/(-39))\/(2\/r). Let z(b) = -2*b**2 + b - 2. Let o(f) = f**2 - f + 2. What is s*z(l) - 3*o(l)?\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 2, p: 1, r: 1, z: 1, u: 2}. Give prob of sequence upu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 4*s - s)*(2 + 9 + 5) + (-2 - s + 2)*(-2 + 1 - 1) + 0*s - s + 3*s as r + q*s and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 238576536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301000 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8*666\/148*2\/9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4861*o**2 + 1. Suppose -3*u - x = -33, -x + 37 = 2*u + 15. Let l = u + -10. Let s be r(l). What is s rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 5:36 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(-5 + (sqrt(891) - (-4 + sqrt(891)*-2))))**2.\nAnswer: -648*sqrt(11) + 128313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28863, -28293, -27709, -27105, -26475, -25813?\nAnswer: -25113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(704) + sqrt(704)*2*6)*-4)**2 - (sqrt(2156)*2 + -2)**2*2.\nAnswer: -6432*sqrt(11) + 1886424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 0 = -h. Let t(r) = 3*r**2 + 6*r. Let l(z) = -2*z**2 - 4*z. Let u(g) = h*l(g) - 5*t(g). Find the second derivative of u(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -5*k, -3*k + 0*x = -4*x + 10. Suppose -3*t = 2*v, 4*t = -3*v - k*v + 7. List the prime factors of (85\/4)\/(t\/(-8)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3898130 - 219530 = -6*w. What is w rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -501 + 499. Let q = 167\/123 - 1\/41. What is the fourth smallest value in 0, -5, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (6\/2 - 9). What is the units digit of (-38)\/(-3) + (-3)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 6. Let m be d(-6). Let s be (-4)\/m - (-80)\/36. Factor w + s + 2 + w - 2*w**2.\nAnswer: -2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3526, -7149, -10772, -14395, -18018, -21641?\nAnswer: -25264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.951265 millilitres in litres?\nAnswer: 0.008951265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -18, -28, -38, -48?\n\"Answer: -10*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 22*l**2 + l + 21. Does 18 divide p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b*p**4*s + 3*b*p*s**2 + 2*b*p*s - 2*b*s - 33*p**5*s**2 + 13*p*s**2 wrt p?\nAnswer: -72*b*p**2*s - 660*p**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/612 and -91\/14790.\nAnswer: 88740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 159 - 38 - 255*w + 52. Let k(m) = -127*m + 87. Let g(a) = 6*c(a) - 11*k(a). Find the first derivative of g(v) wrt v.\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*j - 68 = 0, -3*f = j - 2*j - 52. Let p(b) = 25*b - 706. What is the remainder when p(32) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210.9 + -210.7. Let q be (1\/(-4))\/((-1)\/(-3)). Let l = -1.5 - -1. Sort -4, q, h, l.\nAnswer: -4, q, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -115, -341, -699, -1201?\n\"Answer: -2*y**3 - 48*y**2 + 52*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 25*j**4\/6 - 112*j**3\/3 - 32*j**2 - j + 33. Let g(m) = -17*m**2 + 74*m + 21. Let b(x) = 8*g(x) + 3*l(x). Solve b(f) = 0.\nAnswer: -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 9*u**2 - u + 15. Let l = -45 + 54. Let b be q(l). Suppose 2*m + b*h - 238 = 2*h, h = 5*m - 573. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -6. Let c be 108\/(-72) - (-6)\/4. Suppose 5*n + 5*n - 50 = 0. Sort c, d, 6, n in descending order.\nAnswer: 6, n, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*a**2 - 255*a**2 + 60*a**2.\nAnswer: -258*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2*-1)\/(82\/41)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2440 - 0?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 13. Let a = n + -3. What is the nearest to 1\/3 in -1\/7, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.05 plus 10?\nAnswer: 12.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208*u + 208*u - 3*u**2 - 3)*(2 - 4 + 0 + 0 - 4 + 2 + (-1 + 2 + 0)*(1 - 2 + 3) + 5 + 1 - 4 + 1 - 5 + 2 - 5 + 4 - 5).\nAnswer: 24*u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204360?\nAnswer: 2, 3, 5, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2176) + 2*((sqrt(2176) - sqrt(2176)*-2) + sqrt(2176))))\/((6*(sqrt(384) + 2*sqrt(384)) - sqrt(384))\/sqrt(12)).\nAnswer: -90*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291 - -768. Let k = 476.9999757 - c. What is k rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2392, -2117, -1680, -1099, -392?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -217 - -404. Suppose 19*m - 1156 = -b. Calculate the remainder when 142 is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 78*f**3 - 2*f**2 + 4*f - 3. What is the remainder when 149 is divided by x(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h + 1. Let i be k(1). Suppose -o = 4*y - 25 - 1, -2*y + 3*o + 20 = 0. Suppose 2*g - 5*b = y, 0 + 15 = -5*b. Put i, 3, g in descending order.\nAnswer: 3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 36. Let s(h) = 3*h + 12. Let u be s(r). Let z = 11 + u. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*i - 30633*i**3 - 109*i - 7*i**2.\nAnswer: -30633*i**3 - 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - -5) + -3 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 + (22 - (-10 + -35)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*y - 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 1. Let r(g) = 2*g**2 + 17*g - 6. Calculate 4*o(w) - r(w).\nAnswer: -2*w**2 - 13*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 62*a - 1. Let h(n) = -19*n**2 + 3*n - 6. Let c(f) = -24*f**2 + 4*f - 8. Let k(p) = 3*c(p) - 4*h(p). Give z(k(u)).\nAnswer: 248*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444478645.\nAnswer: 5, 13, 6838133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7915*u - 63656. Give q(-8).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 8. Let v(i) = -3*i**2 + 7. Let r(n) = 4*o(n) + 5*v(n). Suppose r(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/143 and -123\/130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**6\/120 + o**5\/6 + o**4\/24 - o**3\/3 + 3*o**2. List the prime factors of h(-9).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*g + 420, 423 = 3*x - 0*x - 3*g. Suppose -18 = 2*s - 28. Find the third derivative of -5*f**2 - 144*f + s*f**4 + x*f wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:38 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202375 is divided by 12648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1031321 (base 4) to base 2\nAnswer: -1001101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. Let x = s + 2. Differentiate -2*h**2 - 4 + 1 - x wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155769 + -155765. Suppose 15 = k + 6. Calculate the lowest common multiple of g and k - -1*6\/3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 - 140*b**3 - 2*b - 76*b**3.\nAnswer: -242*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 33*s**2 + 3*s + 7. What are the prime factors of r(5)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 3. Let k(j) = 340*j**2 + 11*j - 1. Let c(r) = -k(r) - q(r). Find the second derivative of c(o) wrt o.\nAnswer: -680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f - 331 = -b, 0 = -5*b + 2*f + 102 - 7 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 25*z + 110. Let c be i(-3). Solve 0 = -7*v + c*v - 168 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-29)\/(145\/(-2)))\/((-8)\/5). Let r(b) = -b**3 + 6*b**2 - 4*b - 2. Let l be r(5). What is the second biggest value in 5, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9749 + -0.5.\nAnswer: 9748.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5819 and 2116.\nAnswer: 23276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**2 + f + 2 + 4\/3*f**3. What is the units digit of j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 3*x**2 + x - 3. Suppose -3*c = 32 - 11. Let d = c + 11. Suppose -2*g = -2*h + 4, -d*g + 0*h = 5*h - 37. Give r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2553 = 3*r + 384, 4*r - 2912 = x. Suppose -r = 3*g - 136. Let m = 95 + g. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -1\/4, 0, 2, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 333652136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.65 + -3.05. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1810*t**3 - 1178*t**2 - 68*t. Let o(h) = -605*h**3 - 393*h**2 - 21*h. Let u(j) = 7*o(j) - 2*z(j). Find the third derivative of u(p) wrt p.\nAnswer: -3690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let q be v(-2). Let p = 8 + 3. Let k be -1 - ((-9)\/p + 0). What is the third biggest value in -2, q, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 371 + -166. What is the remainder when c is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39201264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-6) - 2)*(3 - 4). What is the nearest to 0.1 in i, -1, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 32. Suppose -3 + 9 = -5*r + 4*g, -g = -5*r + 6. Suppose 4*z = -2*u + 28, -3*u + r*z = 5*z - 33. What is the least common multiple of q and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 2*v**2 - v - 2. Let f be r(3). Suppose -f = -0*u - 4*u. Which is bigger: -2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -88*o + 310 + 194*o - 89*o + 2*o**2 - 332. Determine p(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 4, g: 4, q: 1, h: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -13*r**3\/6 - 2*r**2 - r. What is the remainder when v(-3) is divided by 290\/25 - (3 - (-34)\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*k**4 - 144*k - 9818 wrt k.\nAnswer: 148*k**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13202 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*h - 3, -16*v - 440 = -17*v - 2*h - 442 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5 - 6752*p**4 + 8549250*p**3 - 4813167500*p**2 + 1018110875000*p - 1013306250000 = 0?\nAnswer: 1, 825, 850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 10*w**2 - 41*w + 12. What is k(-13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34739727.\nAnswer: 3, 11, 1052719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 66. Suppose w + 2*o - 3*o - b = 0, o - 6 = -3*w. Suppose -3*r**3 - 8*r**3 - 2*r**3 + 9*r**w + 4*r**2 + 8*r = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -67 + 0 - (9 + -7). Let z = 101 + y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 4 - 4)*((-9 + 9 + 4*x**2)*(12*x - 4*x - 3*x) - x + x - 2*x**3).\nAnswer: 72*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 70 = -4*z - 2*o, -36 = -2*z - 4*o. Solve -931 = z*h - 1015 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -507, -540, -623, -780, -1035?\n\"Answer: -4*s**3 - s**2 - 2*s - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -60, -93, -126, -159?\n\"Answer: -33*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 - 2*y - 17. Let a be c(-11). What are the prime factors of (8\/10 - (-84)\/20) + a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*y + 4*i, 4*y = -4*i - 14 + 90. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5392912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2. Let n be y(1). Suppose -n*u - h = -25, 4*u + 8 = 5*h + 27. Let p = 35 + u. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 112 = 5*b - 134, 0 = -5*b - 4*j + 254. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -6. Find the third derivative of -2*y**2 - 15*y**4 - 3*y**2 + 16*y**4 + 0*y**v wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 53 = -v. Let x = v - -82. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -221*l + 33. Calculate g(-1).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 + 119*o**2 - 126*o - 720 = 0?\nAnswer: -120, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(63) - sqrt(252)))**2*3.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268473171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1276 and -11\/12?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let n be -3*2 + (-2 - (0 + -3)). Let w be 8*n\/10*-1. Solve u = b + w*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 37, -2727, 1, -0.1.\nAnswer: -2727, -0.1, 0, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7124504752.\nAnswer: 2, 191, 641, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 - -2862\/13. Let b = -1.1 - 0.1. Sort 3, b, n in descending order.\nAnswer: 3, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259 + 329. What is the highest common divisor of 112 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40159\/5 + -8067. Let t = z - -35. Is t <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = -0*h + 69887. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 2\/17 (b) 2\/3 (c) 1 (d) -3 (e) 0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -3)*2 + (-5)\/(-1). Let y(u) = -u - 1. Let k be y(q). Which is the nearest to 0? (a) 2\/3 (b) k (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210*i**3*r + 72*i**2 - 2*r wrt i?\nAnswer: 1260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -2. Suppose 0 = -x - o + 20, 4*x - 2*o + 29 = 139. Calculate the remainder when 635\/x - (-2)\/(-5) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}