diff --git "a/data/dm_maths/full_data_1/10846_11255.jsonl" "b/data/dm_maths/full_data_1/10846_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10846_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the closest to -4 in -5, 0, -4\/5, -46, -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*q + 24, 7*s + q + 28 = 4*s. Let b be s\/44 + 4\/22. Suppose -2*w + w = b. What is the nearest to w in 0, -2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/(-99) - 2)\/(10\/(-6))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/204)\/(2\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-6)*(-45)\/(-420).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 49. Let w(h) = 6*h**2 + 119*h - 90. Let j be w(1). Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -20650?\nAnswer: -20644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away -72?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4905 = -252*x + 143*x. Calculate the remainder when 2924 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2737507572 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2 (c) 2\/3 (d) 1.019 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - 52) + -1 + 10 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 591 and 85892.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2 + 40. Let c(d) = -2. What is 10*c(y) + s(y)?\nAnswer: 6*y**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9 + 17 = 0. Solve -5*g = r - 4, 0 = -h*r + 3*g + g - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24823*o**4 + 240*o**3 - o**2 - 3*o - 837683 wrt o?\nAnswer: -297876*o**2 + 1440*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/27, 4143, -0.1?\nAnswer: -13\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-56) + (-598)\/14. Let q = 46 + m. Suppose -12 = -2*w - 2. Solve w*y = 22 + q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29763, 59524, 89287, 119052?\nAnswer: 148819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a - 2 + 1\/6*a**6 - 1\/2*a**4 + 1\/5*a**5 - 2\/3*a**3 + 1\/2*a**2. Determine x, given that y(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(1\/2)*(x**0)**(3\/4)*(x\/(x\/x**(-1\/2)))**(-1\/7)\/(x**(-2)*x*x\/((x*x**(4\/7)*x)\/x)*x*x) assuming x is positive.\nAnswer: x**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 117 = 4*b + 4*i, -5*i + 147 = 4*b. Suppose -2*j - 3*u = -18, 4*j - b - 3 = -2*u. Let n(g) = -g + 9. Give n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.71273182 rounded to three dps?\nAnswer: 28.713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2553370*h. Let v(r) = 10296*r. Determine 10*i(w) + 2479*v(w).\nAnswer: -9916*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 48398160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 15*r**2 - 35*r - 10. Let d be o(17). Let u be (d\/18)\/((-3)\/58). Let x(f) = -29 + u - 2*f. Let t(w) = 46*w**2. What is t(x(v))?\nAnswer: 184*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 169 + 433. Suppose -4*w + h = -5*a - 3, -4*w + 92 = -4*a. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - 603 = -3*m, 106 = -5*m + 3*q + 66 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 23. Let k(s) = s**3 - 21*s**2 + 38*s + 2. Let l be k(19). Let i = -13 - -23. Suppose 3*y + 0 = l*m + 6, -5*m + i = 5*y. Determine p(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18050000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6.8 (b) -0.5 (c) 0.04 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 5:21 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = -5*i, -77*i + 3*w = -79*i + 2. Sort -3, 462, i in decreasing order.\nAnswer: 462, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 312, 231, 166, 123, 108?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2 - 1. Let r be s(-1). Let j be 2\/r - 2\/(-7). Let i(k) be the second derivative of -k**5\/20 - k**4\/12 + k**3\/6 - 5*k**2\/2 - k. Give i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1118.147 to the nearest ten.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.059, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991705505?\nAnswer: 3, 5, 653, 203339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a + 2400 = -7*a. Let d = -7 - -12. Suppose b - a = -d*b. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5399, -5400, -5401, -5402, -5403, -5404?\nAnswer: -5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 24. Let g be l(16). Let t be 5\/((-3)\/(g\/(-4))). Suppose 4*i - t = 14. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z. Let q(c) = 10*c. What is q(t(m))?\nAnswer: 110*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -30, 3, 60, 147, 270?\n\"Answer: b**3 + 3*b**2 - b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 5 - -8) + -10. Suppose l = 2*p + 19, 15 = -5*p + 4*l - 40. Let g = p + 11. Solve -4*d - s = -4*s + 27, q*d = -2*s + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1242 (base 5) to base 2\nAnswer: 11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + (-23)\/4. Let a be 18\/15*(-20)\/w. Suppose -a*h - 4 = -3*h. Put h, 0, 4 in ascending order.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 8*q + 6. Suppose j - 6*j + 30 = 0. Let n be t(j). Let a(g) = -17*g**2 + 8*g - 3 - 22*g**2 + 40*g**2 - 2*g. What is a(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 491204.\nAnswer: 4420836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 4*x - 4. Let v be t(5). Let l = -9 + 13. Calculate the least common multiple of l and 11 + -2 - (v - 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/60 and 79\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18 - 15) + 12\/(-2). Sort z, 3, -5, 4 in decreasing order.\nAnswer: 4, 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(28) - (1*sqrt(448) + sqrt(28))))\/(-4*3*sqrt(64)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 23.042.\nAnswer: -0.46084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 34895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617738403 a multiple of 1380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.04, -0.35, -424, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*a + 4*w - 31, 5*a - 30 = 5*w. What is the least common multiple of 19 and a?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15182928 and 1897866?\nAnswer: 15182928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220*c**2*m**3 - 3992*c**2*m - c*m**2 wrt m.\nAnswer: 1320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 5*w**3\/3 - w**2\/2 - 2*w. What is the units digit of o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let r(j) = -3*j - 22. Let h(f) = -2*g(f) - r(f). Let k be h(-26). Let i = 20 + k. Solve y - i = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 7:13 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 28*k - 138. Let z be i(5). Sort -6, -33, z, -2 in descending order.\nAnswer: z, -2, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -262168.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Suppose 0 = -3*d - 0*d - 84. Let n be (d\/(-6))\/(h\/(-63)). What is the greatest common factor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607405 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/3)\/(-8*(-6)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.523499 - -16.\nAnswer: 18.523499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/4*(-1450)\/(-225))\/(32\/(-48))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + -3*sqrt(270) + sqrt(270))\/sqrt(9) - sqrt(480)*5)\/((1*sqrt(144))\/(sqrt(216)*2)).\nAnswer: -126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.8 + 131.8. Let x = s - 121. Let o be ((-3)\/2)\/((-1)\/(-2)). Which is the second biggest value? (a) o (b) x (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433 divided by 5.\nAnswer: -433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 428257+3\nAnswer: 428260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -2\/7, -1.91, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150854 and 21835.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.28603 tonnes to grams.\nAnswer: 47286030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/57193 and 58\/9.\nAnswer: 514737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in 2\/323, 1\/4, -2, 2\/7?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*a + 119 = -171 + 108 - 145 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10 = -3*i, 4*d + 5*i + 8 = 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(2*n + 4*n - n)*(-65 + n - 3*n + 96) to the form j*n**2 + x*n + k and give x.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -857, 3.3, 5?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.07 - -11. Let z = b - -0.07. What is the nearest to -0.1 in -4, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (292\/(-365))\/(-3*2\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27651, -28024, -28397, -28770?\n\"Answer: -373*w - 27278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34787*w**3 - 68786*w**3 - 12495*w**3 - 4 + 3.\nAnswer: -116068*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.08295 millilitres in litres?\nAnswer: 0.06708295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 16*a**2 - 227*a - 26. Let n be l(-25). Calculate the highest common divisor of 516 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2513 (base 6) to base 9\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -214, -216, -218, -220?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(2496) + sqrt(39) - sqrt(39) - (sqrt(117)\/sqrt(3)*-5 - sqrt(39) - sqrt(39)))*-5)\/(5*(sqrt(363) + 4*sqrt(363)*2 + sqrt(363))))**2.\nAnswer: 6877\/12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.754712 minus 5?\nAnswer: -3.245288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -3, -17 in ascending order.\nAnswer: -17, -3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27122193 is divided by 5455.\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -8. Let x = 11 + t. Which is the nearest to 0.1? (a) -1 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -15300, 1\/2 in descending order.\nAnswer: 1\/2, 0, -2, -15300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541301927?\nAnswer: 541301927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 11\/25197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3095.0463 - -0.0463. Let q = 3094.97659 + m. What is q rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 300, -0.1, -1, -3.434?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k - 33. Let t be c(4). Is (t + 44037\/(-3))\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 9 = 11*h. Find the first derivative of -3*l - 5*l + 11*l**h + 16 + 8*l wrt l.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9825*26\/2457 + 1294\/(-40761)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 6, -0.3, 10, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 + 6*h**2 - 6*h. Let l(n) = -2*n**2 - 39*n - 55. Let m be l(-18). Let c(d) = d**3 + d**2. Determine m*s(a) + 6*c(a).\nAnswer: 2*a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 2\/19, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*y + 114 = -1240*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*i - 22 = 0, 5*p - 5 = 5*i - 10*i. Let k(f) = -15 + 7 + 5 + p. Let a(n) = -3*n - 2 + n + 10 - 2. Give a(u) - 4*k(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 44. Suppose n*x - 632 = 1216. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-6)*u**5)\/(u*u*u**(-5)*((u*((u\/(u*(((u\/u**(-3\/5))\/u)\/u)\/u))\/u)\/u)\/u)\/u)*(u*u*u**(-1))**(-2\/5)*u**(-1\/8)*u**(2\/7) assuming u is positive.\nAnswer: u**(4581\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = s - 5*i, 0 = -s + i. Let w(x) = 2*x**3 - 20*x**2 + 2. Let r be w(10). Is s != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110058534.\nAnswer: 2, 3, 79, 25799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let j = -13.7 + -7.3. Is j >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.3 - 0.0178222.\nAnswer: -20.3178222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*d + (d + 4*d - 4*d)*(0 + 0 - 2) - d + 1 - 1 + (d - 3*d + 0*d)*(2 - 1 + 0))*(5*d**2 + 24*d**2 - 5*d**2).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -161*j - 110 wrt j?\nAnswer: -161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b**(-24)*b))\/b))\/b*b**(-2\/3)*(b*b**(-13)*b)**(-1) assuming b is positive.\nAnswer: b**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 10*i**2 - 26*i - 27. Let q be p(-12). Calculate the remainder when 116 is divided by 10 - (-7 + 3 + q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125*m**3 + 16727*m**3 - 713*m**3 + 14389*m**3)*(-m + 2*m - 3*m) to g*m**3 + a + z*m**4 + y*m + u*m**2 and give z.\nAnswer: -61056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i**2. Let r(c) = 8*c. Calculate r(n(g)).\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 3*t**5\/20 + t**4\/24 - t**3\/6 + t**2. Is a(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51 + -6*(-4)\/(-8). Suppose 5*q - 2*q = b. What is the greatest common factor of q and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**3 - 6*f**2 + f + 12. Let r(w) = 7*w**3 - 3*w**2 + w + 6. Let q(b) = 6*p(b) - 11*r(b). Let h be q(4). Put 1, 4, h in increasing order.\nAnswer: 1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10248.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 682531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366352522.\nAnswer: 2, 137, 383, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 492164 - 1537822. Let g be l - (-6 - (0 - 4)). What is g rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*b - b. Suppose 0*y + 4*g + 28 = 2*y, y + 4*g - 44 = 0. Suppose l = -4*q - 3*l + y, 2*q + 5*l - 27 = 0. Is q bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3468 minus -0.231?\nAnswer: -3467.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 647717 = -4*y + 647683, 0*y = -3*q + 3*y + 21 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 7, a: 2}. Give prob of sequence sss.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -159*v**2 + 3*v - 939423*v**4 - 2*v + 939429*v**4 in the form m*v + r*v**4 + a*v**2 + b*v**3 + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1572 - 860. Which is smaller: q or 713?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 329 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -67*y - 493 - 480 + 1085 - 2*y**2. Let u be f(-35). Solve -u*z = 9 - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/44*6864\/39\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544996?\nAnswer: 2, 19, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3145416 (base 13) to base 12\nAnswer: -5023750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135122003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -97, 1.2, -25, 1\/3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014708 rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -3)*1 - 2. Let l(w) be the third derivative of w**5\/60 + 7*w**4\/24 - 2*w**3\/3 + 1090*w**2 - w. Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*v + 81 = 31, 0 = 5*t - 5*v + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89645.\nAnswer: 5, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241.2 - -743346.\nAnswer: 743104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416317030 rounded to the nearest 100000?\nAnswer: 416300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 649080563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-34))\/(1\/(-6022)). Suppose 9*s - 210 - 1383 = 0. Let t = u - s. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(147\/(-9)))\/(15*15\/(-75))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -848, 458, -0.025, 2\/5?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let i(j) = j**2 - 2*j - 1. Let v be i(3). Let h(b) = -b**v + 0*b + 3*b**d + 0*b. Let n(x) = 2*x. Determine n(h(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*i**4 - 825*i**3 - 5968*i + 68*i**4 - 236*i**4 + 69*i**4 wrt i.\nAnswer: -72*i**2 - 4950*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*b - 0*k - 112, 0 = 2*b - 4*k + 142. Let w = b + 93. Let v = -29 + w. Solve -5*r - c = -21, 6*r - v*r + c = 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19472 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(12) + (sqrt(12) - -1*sqrt(1200) - sqrt(12)) - (sqrt(108)*-3 + sqrt(12)))\/(1*sqrt(144)*6*-5).\nAnswer: -4 - 19*sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 11458 = 3*c + 4*o, 2*o - 11458 = -2*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 - 1271*x - 1471*x to the form h + f*x and give f.\nAnswer: -2742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -168, 1, -1, -28.\nAnswer: -168, -28, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -515a8 (base 14) in base 6?\nAnswer: -4111104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*l - 1223*l = -5196*l - 12276*l + 257329 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12122000132 (base 4) in base 5?\nAnswer: 412220030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 4*((-2 + sqrt(832))*6 + 4 + -1*sqrt(832)))**2.\nAnswer: -43520*sqrt(13) + 1335824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*a - 1, -2*u - 3*u = 3*a - 3. Let d(l) = 29*l - 17. What are the prime factors of d(u)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)*b)\/b)**(4\/11)\/(b*b\/b**(-5)*b*b**(-3)))**(-18) assuming b is positive.\nAnswer: b**(1062\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q - 3. Let w(m) be the second derivative of -m**4\/6 + m**3\/2 + 5*m**2\/2 + 21*m. Let a be (1\/3)\/((-2)\/18). Give a*w(h) - 5*g(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -5, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 25*m**2 - 155*m + 1133. Let v be o(29). Factor -6\/13*z**v - 190\/13*z + 64\/13.\nAnswer: -2*(z + 32)*(3*z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 696672, 696874, 697076?\n\"Answer: 202*t + 696470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174890 is divided by 1901?\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 132310 (base 4) to base 16\nAnswer: 7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.132964, -5, 5, 3\/2, -3\/5 in ascending order.\nAnswer: -5, -3\/5, 0.132964, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234379395?\nAnswer: 3, 5, 277, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23903 and -1.502?\nAnswer: -35902.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**7\/105 - l**6\/25 + 3*l**5\/10 - 17*l**4\/30 + 2*l**3\/5 - 2*l - 10. Let g(b) = 0. What is b?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q**3 - 32*q**3 + 95*q**3.\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*t + 4 - 10, -2*u + t = 18. Let i(c) = 6*c + 8. Let d(y) = 9*y + 12. Let r(v) = u*i(v) + 5*d(v). What is r(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 6\/61, 5\/22, 2 in increasing order.\nAnswer: -12, 6\/61, 5\/22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/12 - 12*d. Let a(h) = -h + 22. Calculate f(a(g)).\nAnswer: -g**2 + 44*g - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-8\/11))\/y*y**(3\/5))\/((y**6\/y)\/(y*y*y*y**(10\/13)\/y)) assuming y is positive.\nAnswer: y**(-1686\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 times 3?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o**2 + 30*o - 81. Let s(g) = -11*g**2 + 31*g - 74. Let f(t) = -6*q(t) + 5*s(t). Find m such that f(m) = 0.\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/45 + (-62)\/3. Let g = 101\/5 + f. Factor g*k + 0 - 1\/5*k**2.\nAnswer: -k*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 3*w**2 - 3*w + 4. Let b be j(6). Suppose -97*s + b*s + 57 = 0. What is the remainder when 30 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17571*a + 17280 wrt a?\nAnswer: 17571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 189. Suppose -c*o + 828 = -118*o. What is the greatest common divisor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 2, b: 1, j: 1}. Give prob of picking 1 s, 2 j, and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*j - 3*g, -4*j + 5*g + 5 + 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + (69 - 71). Let q = 11 + 10. Suppose -2*l = 3*w - 3, 3*w = -4*l + 6*w - q. Is l at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*v + 2. Let s(b) = -b**2 + 6*b - 4. Determine s(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17, 4, -207 in increasing order.\nAnswer: -207, -4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m - 264 = 78*m. Let l(k) = -41*k - 398. What is the tens digit of l(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-611)\/(-94))\/(113\/(-904))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 20\/(-15))*45. Let w(s) = -4*s - 3. Let z be w(-2). Suppose d = z*d - 12, -5*t - 2*d + 156 = 0. What is the highest common factor of b and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeieeenieiigwgin. What is prob of sequence eq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14*24\/(-48) + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 1\/3 (b) 9 (c) 257 (d) -4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 2\/3, -1\/82, 3\/2, -2?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 286\/462*10\/65?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 4693, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 0*f - 31 + 5*f + 81 - 29 - 23.\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715*t - 68178500 = -698*t. Round t to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0 - 8. Suppose n*c - c = 3*g - 15300009, -2*g + c = -10200003. Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 2101714.\nAnswer: 11\/1050857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-44) - 392\/22. Let z = -16 - k. Suppose s + z = 2*h - 4, 41 = 4*s + 5*h. Solve 3 = -y + s*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 6830 = 19*r + 215. Calculate the lowest common multiple of 3003 and r.\nAnswer: 27027","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, -1, -37, -111, -235, -421, -681, -1027?\n\"Answer: -2*k**3 - k**2 + 7*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-70)\/(-4)))\/((-37)\/(3885\/(-120))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*584\nAnswer: -2920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*o + 88, -5*o + 0 + 5 = 0. Let g = -29 - b. Let l = -56 - g. Does l = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -410*q**3 + 183*q**2 - 3.\nAnswer: -2460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17208*t**3 + 1445474*t**2 + 30355080*t + 3528 = 0.\nAnswer: -42, -1\/8604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 20*n - 19. Let o be 325\/17 + 16\/(-136). Let a be k(o). Suppose a = -2*f - 314 + 1824. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1 - 2 + p**3 + 6*p**2 - 1. Let c = -283 - -277. Give r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2120 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127366 - 1124748 = 34*s for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 20. Let b = -2 + g. Solve 5*s - 7 = 3*q, 3*q + b*s = -0*s - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z. Let w be ((-44)\/(-55))\/(2\/5). Let p(u) be the first derivative of 0*u**2 + w + 0*u - 1\/3*u**3. Give p(s(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 70 = -68*h + 62, -7*g - 18 = -4*h - 3*g + g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5041776 (base 9) to base 12\nAnswer: -a95866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:52 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -261*l**3 + 8*l**2 - 38*l - 46. Give p(-1).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/120 + l**5\/15 + l**4\/8 - 5*l**3\/6 - l**2. Let y be d(4). Suppose 0 = -2*b + y + 9. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21293159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300)*2)\/((sqrt(165)\/sqrt(5))\/sqrt(11)).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 5 = -40*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 2 - (14 - (34 + -18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 1513*l**2 - 2092762*l + 4771. Determine u(-2389).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5017?\nAnswer: 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -31.2. Let g = p + 2. Let s(j) = 2*j**2 - 4. Let h be s(2). Which is the nearest to 0.1? (a) h (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1))**(-12))**42 assuming k is positive.\nAnswer: k**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031656313 to 7 dps.\nAnswer: 0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01482 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1565742.61 - 2.\nAnswer: 1565740.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 57*j + 3. Suppose -2*m - 2*m + 108 = 4*q, -4*m + 113 = -q. Calculate the smallest common multiple of x(m) and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Suppose 3*n = w - 137, -5*n = r*w + 59 - 366. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 104446*t**3 + t**4 - 3*t**4 - 12*t + 2*t**2 + 3*t**4 - 104446*t**3 in the form g*t**4 + r*t**3 + n + a*t + v*t**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.041068, -0.3, -0.2, -1\/3, -1\/8?\nAnswer: 0.041068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265 - 267. Let w = 3 + -2.9. Let k = 3 + 0. Which is the closest to z? (a) -0.5 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 6. Let w(h) = -1 - 79*h + 95*h - 11*h**2 + 2*h**3 + 4 - h**3. Calculate the remainder when w(11) is divided by z(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-396)*222)\/(8\/(-24)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*p = -271*p + 176 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54830641 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 3*p + 27, -5*x + 498 = 22*p + 594 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 37b1a004?\nAnswer: -37b1a003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3 + 15. Suppose -l*t + 87 = -3*o, 4*o = -t - 2*t + 80. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/259 + (-96)\/(-238)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 3*v = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccvcjgivvicj. Give prob of sequence gvvi.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3)*0)\/(-2). Suppose -2*w + m = -2. Suppose 2*x - 1 = w. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Let j(b) be the third derivative of -1\/120*b**6 + 1\/2*b**3 - 1\/24*b**4 + 0 + 1\/30*b**5 + b + 16*b**2. What is j(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.214777ns?\nAnswer: 0.000000004214777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5113646.884 rounded to the nearest ten thousand?\nAnswer: -5110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -61066?\nAnswer: -61063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 + -3 + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srrr when four letters picked without replacement from {r: 6, s: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*24*4\/56. Let g = -18 - n. Suppose -g*q = -q + 5*a - 30505, 0 = 5*q - 5*a - 30495. What is q rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 1, 317, -6, -1, 3 in decreasing order.\nAnswer: 317, 6, 3, 1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 4, o: 2}. Give prob of picking 2 o, 1 t, and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66166, 66140, 66096, 66034, 65954?\n\"Answer: -9*g**2 + g + 66174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207476*u - 2156 = 207432*u for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 291120 - 291044.0089. Let c = b + -76. What is c rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3 (b) -4 (c) -2\/9 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2))\/x)\/(x\/(x*x*x**(-1)*x)))**(5\/6)\/(((x*x**(2\/3))\/(x\/(x*x\/x**5)))\/(((x*x*x*x**(-4)*x)\/x)\/(x\/x**(-2\/7)*x))) assuming x is positive.\nAnswer: x**(65\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 20 = 4*i + g, -4*g = -4*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 23870.\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 + 157. Let f = x - -334. What is the highest common factor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, v: 5, y: 1, w: 2, s: 2}. Give prob of sequence vii.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - 10) + -227 + 199 + -7\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 98039.04cm?\nAnswer: 980390400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*y + 969 = 0, y = 14*u - 19*u + 1615. What is the remainder when u is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2746*l = 2833*l - 9048 for l.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.1 + -35. Let r = t + 2.9. Is -2\/9 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 0*x**3 - 1 + x**2 - 2*x**2 + 3*x**3 + 2*x. Suppose -9 = -4*i - 1. Suppose -4*b = -3*f + 7, 3*f - i*b - 6 + 1 = 0. Calculate v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46424802 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 1\/2*k**3 + 0*k**2 - 3*k + 0. Let z(b) = 2*b. What is l(z(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*36\/27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 7 + 0*n**2 + 2*n**2 - n. Let b = -3 - -9. Suppose -4*c = -b*c + 16. Let z(r) = 3*r**2 + 2*r + 11. What is c*i(x) - 5*z(x)?\nAnswer: x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.52621098 to 3 dps.\nAnswer: 12.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2110 and 117\/40?\nAnswer: 8440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-135)*(21\/11 + -3)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let v(g) = -1682*g. What is n(v(f))?\nAnswer: 2829124*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 56*a + 1. Is c(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(81)*3) - sqrt(85)\/(1*sqrt(80) + sqrt(80)).\nAnswer: -sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -27 + 117. Let w be (-6)\/(-9)*j\/(-4). Suppose -w*d = a - 37 - 271, -3*a + 203 = 2*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) -2\/13 (c) -5 (d) -6.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = i - 29. Let c be 4\/12 - i\/(-3). Let n(u) = u**3 - 6*u**2 - 7*u + 10. Calculate the least common multiple of 10 and n(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 19.52. Let s = t - -0.08. Let c = 2.6 - s. Put c, -4, 2 in descending order.\nAnswer: c, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 28*q - 22 - 138.\nAnswer: -28*q - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/33 and 37\/154404?\nAnswer: 1698444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.4. Let m = n - -2.6. Let w = 1.99999996 - m. What is w rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3051 + 0.287. What is h rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8040000 rounded to the nearest 100000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2124015 (base 7) to base 9.\nAnswer: -433270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10266.2 + 10266. Let s = -0.9 - -0.5. Which is the biggest value? (a) 2 (b) -58 (c) t (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 1\/2*y**4 - 19\/2*y**2 + 3\/2*y**3 - 87\/2*y = 0. Calculate y.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 691*o**3 - 1335*o**2 - 8*o - 4. Let i(v) = -v**3 - v**2 - 2*v - 1. Let s(y) = -4*i(y) + m(y). Find the third derivative of s(l) wrt l.\nAnswer: 4170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 73. Let x be h(28). Calculate the highest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s + 27. Let l be z(2). Suppose 4*t - 9 = t + l*c, 0 = -c - 3. Solve t*p + 3*p - 13 = 5*u, -2*p - 18 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2335270 and 225351?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.299 * 0.156.\nAnswer: -0.046644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 11*j + 0*j - 2*j + 6*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94290\/799 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 + b**2 - 2*b + 1. Let p be s(1). Suppose -2*k = -f + 2 - 0, p*f - 16 = 0. Sort 4, -7, k in descending order.\nAnswer: 4, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-5) + 8 + 5156 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.32 - -7.39. Round y to 1 decimal place.\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1835.7 times 0.125?\nAnswer: -229.4625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 1.5. Let x(v) = 27*v - 17. Let h be x(1). Suppose h*k - 20 = 5*k. Which is the third smallest value? (a) k (b) -5 (c) -0.1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0597380638 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5904 and 20336?\nAnswer: 183024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/13)\/(t**(-4\/3)\/t))**(10\/13)*((t*t**(-1\/13))\/t*t**(-1))**37 assuming t is positive.\nAnswer: t**(-19202\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -14.3. Let r = -0.03 + 0.12. Let f = r + -0.49. What is the biggest value in g, -8, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2184 and 42?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 10, 2519 in increasing order.\nAnswer: 6, 10, 2519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 5*w + 4*w + (4*w - 3*w + 2 + 4)*(1 + 0 + 1).\nAnswer: 4*w + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - sqrt(136)*-1) + sqrt(136) - sqrt(136))\/sqrt(8) + (sqrt(153) + 1)**2 - (-4*sqrt(51)\/sqrt(3) + -3).\nAnswer: 13*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40431 + -103?\nAnswer: -40534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -102. Suppose -20 = -4*x + 3*s, 5*x - d*s - 38 = -13. Suppose 0 = -4*j + r + 745, -x*j + 4*r + 931 = 3*r. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26809933?\nAnswer: 26809933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5)*225\/27. Solve 129 = -b*l + 134 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -5163 - 194337 + 32307. What are the prime factors of v?\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 18*n - 18*n)*(-1093 - 79*n + 1093).\nAnswer: 237*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - 79 + 2*b - 74.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 144 = -4*u, 0*c - c = 4*u - 51. Suppose -5*x + c + 26 = 0. Let s = -12 + x. Is s at most 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 39*p**2 + 141*p + 8. Let d be g(-4). Solve -11*m - l - d = -9*m, 2*l = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f + 5. Suppose -2*g = c - 5 + 1, -5*c = -2*g - 20. Let j be z(g). Suppose 0 = j*o + n - 6*n - 30, -n = 3*o - 2. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87143546 divided by -658?\nAnswer: 132437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 10:38 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354*t**2 - 2691*t**2 + 1367*t**2.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -17. Let d = -9 - h. Suppose 0 = -4*x + 2*k - 26, 3*x + 14 = -3*k + 8. Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18440 - 1327817\/72. Calculate the common denominator of k and -3*(-2)\/(-27) - 940\/(-288).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 980 (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*g - 198*g - 227*g + 28*g - 90*g.\nAnswer: -375*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 3, f: 1, t: 3, w: 7}. What is prob of picking 2 t?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**5 - 27240*q**4 + 27019365*q**3 + 27472169210*q**2 + 5054279021340*q - 10218662438760 = 0.\nAnswer: -331, 2, 3054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*w)*(-2 + 3 - 4)*(-1 + 4 - 1 + (5 - 1 - 2)*(-1 + 2 + 0) + 0 - 1 + 6) as u*w + l and give u.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n + 5. Let f be z(0). Suppose f*g = -u - 68, -g = 5*u + g + 340. Calculate the common denominator of u\/160*2 + 1 and 49\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + ((-5848)\/(-51))\/4)*-3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.009 + 0.361. Let o = g - 0.07. Let b = o - 0.30075. Round b to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2627403967 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17005 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -240246\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(114\/(-24) + -11 + 301\/28)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -23*p - 25*p - 18*p + 40 + 69*p. Let m be y(-12). Suppose 5*c + 5*t - 11507 - 6468 = 0, -t - 14370 = -m*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 + 83642312*x + 1749009089176336 = 0. Calculate x.\nAnswer: -41821156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016436734 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 786369223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 minutes after 5:19 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 12:38 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y + 5*y + 3 + 12*y - 26*y. What is v(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6708, -6733, -6764, -6801, -6844?\n\"Answer: -3*g**2 - 16*g - 6689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**7\/840 + b**6\/90 - b**4\/8 + b**3\/3 - 3. Let g(d) be the third derivative of w(d). Give g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/7 + 3*w**3\/7 - 36*w**2\/7 + 12*w\/7 + 48\/7.\nAnswer: 3*(w - 2)**2*(w + 1)*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 103 = 212. Let d = x - -109. What is the derivative of 5*j - 43 - 2*j - d*j wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-30))\/((-276)\/(-115))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:56 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22029.633 months in centuries?\nAnswer: 18.3580275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 26\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + y**2 + (-3*y - y + 6*y)*(4*y + y - 4*y) + 2*y**2 - y**2 - 3*y**2 + (-2*y + y - y)*(4*y - 3*y + y) - 26506 + 26506 - 2*y + 20*y**2.\nAnswer: 17*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600392345.\nAnswer: 5, 7, 23, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 28, -23, 46?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1665*d**3*n**3 + d**3*n**2 - 3*d**3 + 2192*d**2*n**2 + 2*d**2*n + 3*d*n**3 wrt d?\nAnswer: 9990*n**3 + 6*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1793?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 1.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 8. Solve x*i - 1 = -3*h + 6*i, 0 = -3*h - 4*i - 29 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.51 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(144\/33) + -1. Let y = 24 + -24. What is the closest to 1 in 3, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - -11. Suppose -4*p = -4*l - p + y, 0 = -5*l - 4*p + 20. Calculate the greatest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -751 - -948. What are the prime factors of l?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43.26+-0.101\nAnswer: 43.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/60 + m**4\/4 - 13*m**3\/6 - 3*m**2. What is the remainder when 41 is divided by f(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 885755.4ng?\nAnswer: 0.8857554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(y**(-4)*y)*y*y*y\/(y\/(y\/(y\/y**(-5))))*y*y*y**(-4))\/((y**(-1\/5)\/(y\/(y*y**(-2\/3))*y))\/(y**(-2\/13)*y**(-5\/3))) assuming y is positive.\nAnswer: y**(133\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l. Let u(b) = -26879*b + 80. Calculate v(u(o)).\nAnswer: -161274*o + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-48)\/27 + 60\/216. Factor 9\/2*m**2 + w + 3*m + 2*m**3.\nAnswer: (m + 1)**2*(4*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -22) + -39 - (56 + -187).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {x: 2, i: 1, f: 3, g: 1, w: 4, j: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*i**2 + 8 - 741*i + 255*i - 5.\nAnswer: -203*i**2 - 486*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 5:19 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4453 = 5*q - 1807. Suppose 2*o + 3*o - 3*s = q, 751 = 3*o - 2*s. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*((sqrt(567) + 1 + -5 + -1)*-1 + 0))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 7. Let h(m) = -9*m - 14. Calculate -7*a(s) - 3*h(s).\nAnswer: -s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32830743 divided by 19.\nAnswer: -32830743\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/1927 + 40447\/38540. Let v = a + 1\/5. Determine y, given that -v*y**2 - 1\/2 + 7\/4*y**4 - 9\/4*y**3 + 9\/4*y = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440 divided by 2?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.10704 centimeters in millimeters?\nAnswer: 711.0704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**4)\/y**(-1\/6)*(y**(-1\/2))**34 assuming y is positive.\nAnswer: y**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c**3\/5 + 241012*c**2\/5 - 414912487*c + 118542490 = 0. Calculate c.\nAnswer: 2\/7, 17215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, a: 3, f: 7}. Give prob of sequence aaa.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1 - 5 - 1 + 4 + 5 - 5 + 2 + (-5 + 3 + 4)*(-3 - 1 + 3) + 6 - 4 - 3)*(-21*r - 11*r - 3*r) in the form m + g*r and give g.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + (-292 - -260) + (-4 - -47)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 59\/8 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 18.\nAnswer: 23\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 + 7*f**3 - 978*f**2 + 976*f**2 + 591*f to the form c*f**2 + z + j*f**3 + i*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v**2 - 5. Let q be -4 - ((-3)\/(-7) + 48\/(-112)). Let a(d) = -10*d**2 + 4. Let r(w) = q*s(w) - 5*a(w). Let i(f) = 7*f**2. What is i(r(j))?\nAnswer: 700*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(34)*1)\/(sqrt(64)\/sqrt(2)) - (-3*(sqrt(425) + sqrt(425) + 4 + sqrt(425) + sqrt(425)) + 5))*-1)**2.\nAnswer: 833*sqrt(17) + 240933\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20558 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, g: 9}. Give prob of picking 1 z and 1 g.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 - -3866?\nAnswer: 3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 3*o**3 - 2*o + (4*o - 6*o + 4*o)*(6*o**2 + 79*o**2 - 29*o**2).\nAnswer: 115*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 5353.\nAnswer: 1605.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = k + 8, -29*s + 26*s + 3*k = 36 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26334 divided by 3\nAnswer: 8778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 15. Let f be w(14). Which is smaller: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13104)\/(-1638))\/(-6 + 0).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*w**2 + 81 + 5787*w - 1416 - 319 = 0. Calculate w.\nAnswer: -827, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2242 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - k**2 + 19*k**5 - 8*k**5 + 2*k**5 + 2*k**5 - 2*k**5 + (0*k - 2*k + 3*k)*(-k**4 + 0*k + 0*k).\nAnswer: 12*k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {s: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -247445 take away 2.2?\nAnswer: -247447.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i = -8*i - 115 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) -25.8 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 195*y**2 - 4\/3*y**3 + 0 + 1\/4*y**4 - 1\/60*y**5 + 0*y. Give z(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 22. Let k be -9 + 3*(-2)\/g. List the prime factors of (-2177)\/(-35) + k\/(-10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 7*i**4\/12 - 3*i**3 - 2*i**2 - 95*i. Let h be q(1). Let m(u) = -3*u**2 - u. Let b be m(-1). Put h, 3, b in ascending order.\nAnswer: h, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 925*m**2 + 75*m + 75. Let f(t) = -27 + 92 - 34 - 2*t - 33 - 25*t**2. Calculate -2*d(k) - 75*f(k).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(-2 + sqrt(1584)*-3).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lub when three letters picked without replacement from {u: 3, l: 1, p: 5, s: 3, b: 6, x: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 4. Let m be g(5). What is the remainder when 17 is divided by ((-6)\/(-7))\/(m\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -0.19.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 0*d**3 + 3*d**3)*(-1 - 4 + 1) + (2*d**2 + 0*d + 0*d)*(-4*d + 4*d - d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from {a: 2, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 516*r + 28282.\nAnswer: 2*(r + 79)*(r + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from jbmvvvmvvvnb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2002*d**2 + 8051*d - 16. Calculate n(4).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22692977257.000000919 - 22692977736. Let j = -139 - 340. Let n = j - o. What is n rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -557 + 664. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -909*z - 377. What is the ten thousands digit of q(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y**2 - 695*y + 3062. What is r(4)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/11 - 2153632*p + 6377429838208 = 0.\nAnswer: 5922488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 957663 a multiple of 563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2324 - -4?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let x(o) be the third derivative of -5*o**4\/24 - 203*o**3\/3 + 4153*o**2. Give x(m(s)).\nAnswer: -5*s**2 - 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6199 or -350?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 30. Let w(p) = -97*p**2. Let l be w(-1). Calculate the remainder when q(0) is divided by (-5)\/30 - l\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/3 + 2 - -151. Find the common denominator of (-359)\/v - 20\/(-70) and 9\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 + -62 + -57 + 8 + -2\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176459 a multiple of 1036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 4277*p + 107619. Calculate k(-25).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/10)\/(8\/((-1040)\/3)). Let m = o - 35. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 2920 + 2808 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-992)\/(-188))\/(14148\/332478)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10551 + 10617. What is the remainder when 597 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -421 + 919. Let t = -19 + 29. Suppose -4*g + v + t = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-2)\/(-24)). Let l(w) be the second derivative of -1\/12*w**4 + w**3 - 3\/2*w**2 - 3*w + 0. Determine l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z - 37*z**2 - 46*z**2 + 66*z**2.\nAnswer: -17*z**2 - 48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -110 (b) 365 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46166.34ml to litres.\nAnswer: 46.16634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12881, 13075, 13403, 13871, 14485, 15251?\n\"Answer: g**3 + 61*g**2 + 4*g + 12815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 1. Let k(s) = s**3 + 26*s**2 + 19*s + 3. Let y(f) = 6*c(f) + k(f). Suppose 16*p + 376 = 72. Determine y(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3 - (0 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose -3*b + 5*s = b + 4, -2*b = -f*s + 8. What is the third derivative of 2*h**2 - h**5 - h**b - h**4 + 2*h**4 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndd when three letters picked without replacement from nqqdqnnqdjn.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 + 113013?\nAnswer: 112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -10*y + 44. Let c(u) = 2*u. Determine a(c(f)).\nAnswer: -20*f + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 87 = -713. Let k = d + 83. What are the prime factors of (2410\/15 - -4) + (-2)\/k?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/6*5\/(-2). Suppose 0 = 4*f - 3*t - 11 - 9, -22 = -f + 5*t. Let x(q) = 5 - 139*q + 135*q - 1 + q**f. Give x(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27877872*-0.04.\nAnswer: 1115114.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbbbbbbbbmbbbmbb. What is prob of sequence mb?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.001 and -21110.9.\nAnswer: 21.1109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13\/5 - 3741\/435\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.9, -4, 5, 2\/9 in increasing order.\nAnswer: -4, 2\/9, 0.4, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s - 34. Let q be v(8). Let o be (2*(-26)\/(-8))\/((-30)\/q). Which is the nearest to o? (a) -1 (b) -1\/6 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 18632\/1156) + (-2)\/(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Suppose x + 2*x = 2*b, -k*x = 5*b. Suppose x = -4*v + 5*f + 47, -12 = -v + 5*f + 11. Calculate the highest common factor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 2*p + 1. Let c be j(-1). Let h(s) = -4*s - 8. Let f(d) = 1. Let g(w) = c*f(w) + h(w). Is g(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:12 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17391 + 43981 = 934*i - 9612 for i.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(684) - sqrt(684)) + (sqrt(684) + -1)*-6 + (((sqrt(2299) - 2*sqrt(2299)) + -5 - (2 + sqrt(2299) + 0))*5)**2.\nAnswer: 7664*sqrt(19) + 231135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 7*b**2 - 5*b - 41. Let n be t(-6). What is the second biggest value in n, 22, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95718337\/18 + -5314319. Let w = 3359 - m. What is the common denominator of 348\/(-80) + 4\/(-10) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + n**2 + 6*n**2 + 2*n + 2 + (n**2 + 1 - 1)*(-1 + 0 + 0))*(1 - 1 - 3*n).\nAnswer: -9*n**3 - 6*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 2*y - 1, y - 5 = -q. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131834515 and 4995?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 510 and 813705?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29 (b) 2 (c) 1\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*o - 31, 17 = -6*o + 3*o + m. Let r be 2\/(-1 + (-12)\/o). Let g(w) be the second derivative of w**4\/4 + w**3\/6 - w. Calculate g(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/47 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/((-2717)\/(-60)) - 78\/429. Suppose 21 = -8*j + j. Put 4, b, j in descending order.\nAnswer: 4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5959 + -208547\/35. Find the common denominator of q and 2 + 1 + (2064\/270)\/(-4).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:52 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -508, -1134, -2010?\nAnswer: -3136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202.78 decades to centuries.\nAnswer: 20.278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*q - 4*a, a = -4*q - 0*a + 15. Suppose 2*r - 10 = -q*t, 0 = t - 3*r - 7 + 22. Solve t*g + 4 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 30 = 8*x. Suppose 4*o - 1149 = -5*m, 3*m - 749 = 5*o - x. List the prime factors of m.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100 * -0.4\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/4)*h**(-4)*h**5\/h**(-2\/15))**(2\/17) assuming h is positive.\nAnswer: h**(143\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 58*w - 294. Give d(0).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 795, 977, 1465, 2409, 3959, 6265?\nAnswer: 9477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/17 and (-8)\/28 + (-6)\/(-14) + 0.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x - x + 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, x: 7, e: 1, f: 1}. What is prob of sequence nxnn?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Let j = 3.04 - t. Let i = 0.14 - j. Which is the closest to i? (a) 0.2 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4235 - 0.0765. Which is the second smallest value? (a) t (b) 11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (3 - (8 - 5)) + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, 14, 3, -0.5 in descending order.\nAnswer: 14, 3, 0.5, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17289665 divided by 5?\nAnswer: -3457933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 50004 + 54266 = 235440. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j. Let g(t) = -5*t. Let u(z) = 2*z**2 - 33*z + 103. Let p be u(12). What is p*g(v) - 4*a(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((96\/14)\/2)\/((-19)\/133). Sort y, -26, -1 in descending order.\nAnswer: -1, y, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*s**3 - 896512*s - 195030957.\nAnswer: -246*s**2 - 896512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 6*y = -5*y - 5, 0 = 2*i - 2*y - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3733*u - 36. Let f(i) = -212784*i + 2046. Determine -6*f(k) - 341*l(k).\nAnswer: 3751*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8850 - -8811. Which is the nearest to -0.1? (a) -2\/3 (b) y (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215048136 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -45, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4164*p**3*s**2 - 8*p**3*s + 4220*s wrt s?\nAnswer: 8328*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, u: 3, m: 4}. Give prob of picking 2 m and 1 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.8 - -8.3. Which is the biggest value? (a) v (b) 0.3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11117762.1 and -0.67.\nAnswer: 11117761.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18612585, 18612622, 18612669, 18612732, 18612817, 18612930, 18613077, 18613264?\nAnswer: 18613497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4965 divide 70489749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-748)\/(-132)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 60. Let v(i) = 20*i**2 + 41*i - 92. Is v(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - 868. Let s = j - -223. What is s rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1070501 - -0.10672. What is h rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4417 - 2501?\nAnswer: -6918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5020 - 5018. Which is the closest to 3\/34? (a) 1\/3 (b) 11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71740 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2 + 7 + 268\/(-67). Let d(p) = -p - 1. Let i(q) = -6*q - 3. Let x(s) = 2*d(s) - i(s). Determine x(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*o**2 - 1 + 3 + 769*o**2.\nAnswer: -38*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 5065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1537030 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 + 117 - 55 - 60 - 49*v. What is the tens digit of f(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02 times 54?\nAnswer: 55.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (501\/(-156))\/(4 + 68\/(-12)). Let r = -27\/13 + f. Let v = 1 - 2. Do r and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 105, 1, 0.5, 6, -1, 1\/602?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 2, p: 1, c: 1}. Give prob of sequence bc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57204 + -57207.17861. Let y = m - -3.18. What is y rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 - 3*s + 7*s - 2*s.\nAnswer: 9*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23200 and 1280.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2836 - 1.28366533. Round i to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 9) + -5 - (-6 + 2) - (-4 + 15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 25 = a. Suppose -a = -3*x + 3. What is the derivative of 4*v - 5 - 3*v + x - 4*v wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*x**5 + 2*x**2 - 69.\nAnswer: -12780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*-3 + 4. Let t(d) be the third derivative of -d**6\/120 + d**5\/30 - d**4\/8 + d**3\/3 - d**2. Give t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-134)\/28 - (-5)\/1 and 0 + -1 - 70\/(-36).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-3\/29))**(-12) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -797*q**2*z - 6*q**2 + 4*z + 423 wrt z.\nAnswer: -797*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 + 6*q - 1. Let t be (-36)\/(-6) + -3 + 2. Let o be j(t). Let g = -65 - o. What is the greatest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -232, -1995 in decreasing order.\nAnswer: -40, -232, -1995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 88*o**5\/5 - 26*o**3 - 144*o. What is the second derivative of u(m) wrt m?\nAnswer: 2112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*w**5 + 1064*w**4 - 1500*w**3 + 40*w**2 + 496*w + 96 = 0. What is w?\nAnswer: -2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6990480\/(-360620)*52\/(-14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -100. Suppose 0 = 52*r - n*r - 78. Suppose -66 = -4*h + r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147416.\nAnswer: 2, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 - 66*m**4 - 276*m**3 + 1128*m**2 + 1152*m - 3456 = 0. What is m?\nAnswer: -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 58 + 38*d)*(-167 + 167 - 24*d - 1 + 1 + 2*d + (-2*d + 5*d - 2*d)*(-3 + 1 + 1)).\nAnswer: -874*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-6)\/(-9)*1. Let m(i) = -2*i**3 + g - 5*i**3 - 3. Let s(w) = w**2 - 7*w + 1. Let j be s(7). Calculate m(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, -0.1, 3 in increasing order.\nAnswer: -4, -0.1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619*z + 154 = -608*z. Solve 7*w = -z*w + 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-9)\/33)*-5. Let x = 58 - d. Let t be (21\/(-6) + x)\/((-6)\/(-4)). What is the second smallest value in 3\/7, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74144868 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (91\/14)\/(-16 + (-3835)\/(-234)) - 13\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 4*u + 23. Let c be y(7). Let z(l) = l - 1. Let s be z(4). Find the first derivative of -c + s*k + 5*k - 11*k + 13 wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x - 3. Let v = -9085 - -9096. What is the remainder when v is divided by i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3 + 960312*v**2 - 115273931850*v - 230551704964 = 0.\nAnswer: -2, 240079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnp when three letters picked without replacement from ppmpmpqmmnp?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from eviceviiiaiaici.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11516\/35 - 329. Let v = o - -31\/140. Which is the nearest to v? (a) 6 (b) -1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15250 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 30*h = 13*h - 297 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 228*t**3 + 905*t**2\/2 + 834. Find the second derivative of h(r) wrt r.\nAnswer: 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 9. Calculate the least common multiple of 23 + (17\/(-2) - 3\/(-6) - -6) and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -73?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -42. Suppose 0 = -s*x - 2 + 38. Find the second derivative of -x + 8 + 10*h**4 + 4 - 21*h wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1013, -1012, -1011, -1010, -1009, -1008?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*n - 106*n = 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40895.53 - 5\nAnswer: 40890.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102, 583, 1834, 4239, 8182, 14047, 22218, 33079?\n\"Answer: 64*g**3 + g**2 + 30*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 16. Let g be w(11). Let z be g*(2 + (-2 - 1)). Factor 4*n**4 + 2*n**3 + 5*n**z - 3*n**5 + 5*n - 5*n.\nAnswer: 2*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 10204?\nAnswer: 10131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2522, -2532, -2540, -2546?\nAnswer: -2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.29995 take away 18?\nAnswer: 471.29995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 12*a - 25. Let d be m(-10). Sort -4, 4, d.\nAnswer: d, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5932*d + 219*d**2 + 11081*d - 5149*d.\nAnswer: 219*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12122210 (base 3) to base 5\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215 and -189.8.\nAnswer: 40807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6 and ((-4)\/192*3)\/((-63)\/(-174)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 2*w**2 - 2*w + 1. Let r(h) = -16*h**3 - 11*h**2 - 11*h + 6. Let p(v) = -11*n(v) + 2*r(v). Let i be p(-1). Solve i = u + 1 - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5, -2\/617, 3, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -10*k**2 - 21*k - 368. Let x(a) = 4*a + 4. Calculate -2*i(z) - 11*x(z).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031 (base 4) in base 3?\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 14*b + 5*b + 15*b.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -45906 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49461643 a multiple of 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -11 - (1 + 30). Let i be (-22)\/(-10) + -2 + 17\/d. What is the nearest to -3 in -2, i, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6930*t - 6925*t - 2*d + 10 = 0, -2*t + 4*d - 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2418499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-9 + -12)) + 12\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 8*v**5\/15 - 53*v**3\/6 + 4*v**2 - 2. Find the first derivative of c(z) wrt z.\nAnswer: 64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/(o\/(o\/o**4))*o*o))\/o)\/o)\/(o\/(o*o**2\/o))*o**(1\/8)*o**(-1\/5) assuming o is positive.\nAnswer: o**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5500574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 25*q + 316. Let z be b(-35). Let k = z - -564. Solve -k*y + 12 = 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 229 + -a?\nAnswer: 21e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.9130169 + -29804.0934169. Let r = s + 30035.180158. Let m = r + -242. Round m to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.1 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 370*f - 5576. What is q(15)?\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 - 47*u + 147. Determine g(9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**5 - 5*r**5 + r**5 + (-r**3 - 3*r**3 + 3*r**3)*(2*r**2 - 2*r**2 + r**2) + (12*r + 2*r**3 + 10 - 12*r)*(-r**2 + r**2 - r**2).\nAnswer: -r**5 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -623456, -623465, -623488, -623531, -623600?\n\"Answer: -v**3 - v**2 + v - 623455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2890359 and 6345?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 - 15*g**2 - g - 7. Calculate t(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -31 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/3 - 67\/12. Let z = -1\/88 - -179\/264. Sort z, -3\/10, f.\nAnswer: -3\/10, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = 5*a - 3*a. Let q = -170 - a. Let u = q + 77. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*n - 60, -n - 2*n = -6. Calculate the remainder when 34 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 29 = 21*k + 7*g, 10*g + 31 = -2*k + 87 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 57 = -3*n + 82, -5*d = 3*n - 155. Calculate the highest common factor of 180 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 11*t - 18. Let j(a) = -a**2 + 5*a + 8. Let f = -29 - -34. Let g be j(f). Let v be s(g). Let c(q) = q - 1. Determine c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Let o(b) = -10*b - 9. Let u be ((-48)\/28)\/((-22)\/(-308)). Calculate u*s(r) - 3*o(r).\nAnswer: 6*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3420597 by 15339.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 566772408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51705 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2319, -2321, -2323?\n\"Answer: -2*h - 2317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210300 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 970581649 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -11. Suppose 2*m - 1 - 1 = 0. Let i be (-1)\/((4\/(-8))\/(m + 1)). What is the highest common factor of i and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -82*b + 90*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (409*f + 150*f - 367*f + 1688*f)*(-12 + 24*f**3 + 12).\nAnswer: 45120*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6850445?\nAnswer: 5, 7, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -q + 4*h, -3*h + 180271 = 3*q + 180310 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72300821 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/6 (c) 40 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2440426 - 31*q + 2440426 - 4880858.\nAnswer: -31*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 769717977 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/3, 1\/2, 18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 1 f when three letters picked without replacement from {z: 3, y: 3, c: 3, k: 1, f: 2, w: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -0.5 (c) -1\/5 (d) -1180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l - 2. Let n be s(-1). Let j = 18 - n. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14115 + 1634 = 240*q - 4651. What is the least common multiple of 45 and q?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -285906, -571887, -857882, -1143897, -1429938, -1716011?\n\"Answer: -c**3 - c**2 - 285971*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/22 - -15\/11. Let v(m) be the first derivative of -s*m**2 + 6*m + 2. What is v(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 17 = y, -20 = y - 5*w. Is 3 a factor of 31\/((-5)\/25*y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Suppose p - 13 = 2*x, -44 + 0 = -5*p + 3*x. Let q be (-3 + p)\/(0 + 1). Suppose 4*l - 8 = -q*d, -7 = -d + 2*l - 4*l. Give f(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 6*z + 2*d + 646, -z - 3*d = -319. What are the prime factors of z?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 939 - 935. What is the third smallest value in -1, g, 0.05, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*v - 4*v = 9, 0 = p + 2*v - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12113984 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 38 - 430 = 0. Let u = 3278\/21 - h. Let j = -4.6 - 0.4. Sort u, -1\/2, j in descending order.\nAnswer: u, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {u: 3, n: 5, h: 3, j: 1, d: 1, a: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*d + 1675307 = -18721984. What are the prime factors of d?\nAnswer: 60169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3930009 and 4395?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18379*m + f - 95 = -18374*m, -3*m = -4*f + 40 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 6951 = -13*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 96*l - 9. Let q(x) = 3*x**2 - 3. Calculate q(z(b)).\nAnswer: 27648*b**2 - 5184*b + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -160, -250, -340?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 186442398.\nAnswer: -186442398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58615277 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/17, -1341, -1\/4, -1.5?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:20 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 9:39 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 201807 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 7. Determine b(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -53?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 11*j - 121 - 546*j + 2*j**3 + 89*j.\nAnswer: 2*j**3 + 3*j**2 - 468*j - 121","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)*(-10)\/(-5). Suppose 5*l - 5*x = 20, -4 + 3 = -l + r*x. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 + 24*q + 80. Let n be f(6). Solve -2*h = -5*u - 23, 0 = -4*u - 20 + n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1 + (-3 + 1 + 3)*(-2 - 1 + 4))*(-i + 2*i - 3*i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -104?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. What is the common denominator of -27\/2 and ((1533\/(-30))\/7)\/l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 2. Let p be y(2). Suppose n + p*b - 19 = b, -2*n + b + 71 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*s**(4\/5)*s*s)**(1\/43)*(s\/s**(-6))\/s**6*s**(-4)*s*s*s**4 assuming s is positive.\nAnswer: s**(1303\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 + 3*j**4 - j**4)*(-211 - 669 + 219 - 2 + 3 + 0 - 1 - 2 + 2 + (-3 + 3 + 2)*(1 - 3 + 1)).\nAnswer: 1326*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u - u)*(-5121*u - 4588 - 7558*u + 605*u + 4588).\nAnswer: 36222*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-16) + (-827070)\/(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 1 + 11. Suppose -b*n + 78 = -126. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -57. Let p = -229 - -60. Let f = p - -179. What is the remainder when t is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1710)\/(-114) + -14 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -161 - (22726 + -22793)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-152))\/(6\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109519 less than 109519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5402574 is divided by 1350643.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/5)\/b*b)\/b)\/b*((b\/b**(-4))\/b)\/b)\/(b\/b**(3\/2)*b**(-4\/5)) assuming b is positive.\nAnswer: b**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let n(a) = a. Let v(h) = -3*m(h) - 7*n(h). Let r = 4 + -17. What are the prime factors of v(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose 2*z - 5*d + 18 + 0 = 0, -2*d = -8. Solve -x*k + z = -9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/140 and 149\/910.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4203 divide 4372148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 46) + -1 - (-910 + 901).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 439026037*q**4 + 2643019*q**2 + 26*q?\nAnswer: 10536624888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 5) to base 2.\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, 2\/7, 6912, -0.2, -3, -2.\nAnswer: -3, -2, -0.2, 2\/7, 272, 6912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**3 + 50*r**2 - 109*r + 71. Give i(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 9. Let m = 3678 - 3677.8. Which is the nearest to 0? (a) -5 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -2, 5, 26, 67, 134?\n\"Answer: b**3 - 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -157*z - 141. What is f(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1131.7 and -0.1615.\nAnswer: 182.76955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1497*g + 1484*g - 2965*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -37\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 4*v - 4*j, 2*v + 3*j + 4 = 0. Suppose 5*b = y + 5, 3*y - 5*y + 4 = v*b. Solve 18*h - 15*h + 3 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - 3*d)*(3*d - 5*d + 30*d + d - 2*d + 0*d + (-d + 6*d - d)*(-2 + 5 - 1) - 3*d + 0*d + 5*d).\nAnswer: -148*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 8 + 9)*(-2*l**3 + 2*l**3 + 2*l**5) + l**5 + 5*l**3 - 5*l**3.\nAnswer: -37*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 26868?\nAnswer: 26880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:55 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.69212 meters in micrometers?\nAnswer: 53692120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 126, 165, 124, 3, -198, -479, -840?\n\"Answer: -40*j**2 + 159*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s - 6 = 3*i - 19*s, -2*i = -4*s + 12. Suppose 18*k - 15*k - 9 = i. Which is smaller: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -87 - -83 - (0 + -1 + -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - (-15)\/(-9). Let l be -4*(p + 3)*-3. Let k(g) = 8*g + 14. What is the remainder when k(l) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -643, -1, -2, 2, 10.\nAnswer: -643, -2, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*(12 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-7)\/(1190\/1340)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmkklmlmkmk. What is prob of picking 1 k and 3 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -8*k + 3. Suppose -b + k*b + 54 = 0. Let u be 2\/(-4) + 105\/(-6). Is b smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266656, -266660, -266668, -266680?\nAnswer: -266696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4029*m**3*r**2 + 4*m**2*r**2 - 91*r**2 wrt m?\nAnswer: 24174*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4049*z**2 - 8182*z + 163. What is t(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/24, 1399, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 11*g = -544. Let t be (-8)\/(g\/(-620))*4\/(-10). What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548003 is divided by 435?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731198.\nAnswer: 2, 3, 7, 47, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9739b (base 12) in base 7?\nAnswer: 1456652","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 + -8a348?\nAnswer: -8a38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 3*h**2 + 4*h - 6. Calculate the remainder when 116 is divided by z(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 10*m**3 + 298969*m**2 - 29899*m - 59794 = 0?\nAnswer: -29897, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73304 and 2040.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -31 + -35*3\/(-40)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012960788 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k. Let f(l) = 3263*l. What is f(p(w))?\nAnswer: 13052*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2 + 1653*s - 8340 = 0. Calculate s.\nAnswer: -556, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + -0.04. Which is bigger: 0.009 or z?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1578aa0 + -3?\nAnswer: 1578a9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11673 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 22*a**2 - 3*a - 60. What is z(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 6*l - 5*l. Suppose 0 = -3*g + 5*g - 8. Suppose 12 = -g*v + l. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 52939?\nAnswer: -52939.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 217761*m**2 - 5663415*m + 28972587.\nAnswer: 3*(m - 19)*(m - 7)*(m + 72613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -75. Let a(o) = o - 4. Calculate a(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1297.3, 0.1, -4?\nAnswer: 1297.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 8*z - 5*c + 22, -5*z - 5*c = -30. Solve 4*t + z = 2*y, 4*y = -0*y - 4*t - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292559058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -762*i*o**3 + 391*i*o**2*t - 68*i*t + 2*o**3*t - 76*o**3 + o**2*t wrt o.\nAnswer: -4572*i + 12*t - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26361.\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**6 - y**2 - y + 1. Let r(q) = 3*q**6 - 14*q**2 + 2*q - 2. Let c(k) = -r(k) - 2*s(k). Find the third derivative of c(i) wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -272787*d. Let s(q) = -38*q - 2. Give s(c(y)).\nAnswer: 10365906*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 10*y**2 - 26*y + 10. Let g be v(-5). What is the greatest common factor of g and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/3*18\/(-3). Suppose -8*i = 3*i - 110. Let w = i - a. What is the greatest common divisor of w and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -192046*z**2. Let m(l) = 4*l. What is i(m(x))?\nAnswer: -3072736*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-527)\/51)\/31*(-36)\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8733 (base 13) to base 14.\nAnswer: -6bcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -15\/56383 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -292\/13 at least -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46480 and 140?\nAnswer: 46480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110712 by 8.\nAnswer: -13839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p**(1\/4)*p)*p)\/p)*p)\/p**(-2\/7)*(p**(-3)\/p)\/(p\/(p\/(p\/(p*p**(2\/7))))) assuming p is positive.\nAnswer: p**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbixxxbbxb. What is prob of picking 1 b and 1 x?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -11, 5 in ascending order.\nAnswer: -11, -7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(-1\/7)*i\/(i\/i**(-3\/4))*(i**(-10)*i)\/i assuming i is positive.\nAnswer: i**(-1513\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 0*w**4 + 0*w**4 + (2*w + 5 - 5)*(2*w**2 - 2*w**3 - 2*w**2) - 15*w**4 - 12*w**4 + 16*w**4)*(3*w - 3*w + 2*w).\nAnswer: -32*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4928 and 56056.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w**4 + 5*w**3 + 3*w**2 + 3*w. Let c(l) = 17*l**4 - 10*l**3 - 7*l**2 - 7*l. Let a(n) = -3*c(n) - 7*h(n). Let a(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4264\/3*a - 2272712\/3 - 2\/3*a**2.\nAnswer: -2*(a - 1066)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*j - 47*j + 628 - 611 + (4 + 1 - 3)*(1 + j - 1) to the form m*j + o and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 148 = 17*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 35*l**2 - 69*l + 90. Calculate x(33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (4 + -1))\/2. Suppose -1 = -c + 1. Suppose 4*s = -3*w + c*s + 16, 0 = 2*w + 4*s - 24. What is the highest common divisor of w and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/32)\/((-1)\/4)*541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m*m**8*(m**(-1))**(-35))**39 assuming m is positive.\nAnswer: m**(8502\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16*l + 220 = 0. Let f = -17 + l. Solve f*h = -2*u + 4, -3*h + 3 = 4*u - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 2:34 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2267.556300284 + 0.046799716. Let k = l - 2417.595. Let r = -150 - k. Round r to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1420\/7, -4\/3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37564678741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 2 - ((-11 - -2) + 13 + -8)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347564?\nAnswer: 2, 7, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*n + 636 = 230*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 12*n. Let l be y(-6). Let w be (-2)\/(-11) - l\/(-88). Let g(x) be the third derivative of x**5\/30 - x**2. Give g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**10\/5040 - t**6\/180 - t**3\/6 + t**2. Let w(b) be the first derivative of f(b). Find the third derivative of w(h) wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285137249 is divided by 2350.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2)\/((-1)\/3). Suppose 2 = 3*n - 3*v + 5*v, v + r = 2*n. Find the first derivative of -p**n - p**2 - 2 + 1 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*g + 6*g + 39 = 0, -2*w + g = -63. Let a = w - 11. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 15*j - 30. Let h be f(17). Factor h*k - 2*k + 0*k**2 - 7*k - k**2 - 4.\nAnswer: -(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.42, -2, -4, -0.014?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 156586?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/20, 16\/7, -1867, 5?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4281 - 4261. Let w(p) = p**3 - 6*p**2 + 5*p + 5. What is the lowest common multiple of w(5) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-95)\/10 - (-1)\/1)\/(1\/10). Suppose -4*l + 486 = -4*g + 2*g, -2*g = -l + 129. Let h = l + t. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-7 + 6)) + 1 - (0 - -30).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(45\/(-6)))\/((-22)\/66)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 518 or 5674?\nAnswer: 5674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114548, -227956, -341364, -454772, -568180?\nAnswer: -681588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4*r - 1061*f**4 + f**3*r + 5*f**2*r - 549*f**2 - f*r wrt f.\nAnswer: -72*f*r - 25464*f + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 15*v + 12*v + 2*v - 53*v + 10*v as d + u*v and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80148649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 3. Let g(x) = -4*x + 0 + 3*x**2 + 4*x + 1. Let d be g(i). Solve -d - 6 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 346 = 116 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10723351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*y + 152. What is the highest common factor of y and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -7*d - 17. Suppose 0 = d*t - 13*t - 504. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4194 and 10951233.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -k. Let o = 4 - k. Let t(d) = d**2 - 24*d - 206. Let w be t(-7). What is the highest common factor of o and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1084, 2179, 3274?\n\"Answer: 1095*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + -313?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 11*p + 11. Let o be f(-10). Suppose 0 = 4*z - q - 91, 4*z + q = -0*q + o. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + -24905299667\nAnswer: -24905299710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 2460.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 388 and -0.2.\nAnswer: -77.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 10*m**2 - 16*m - 237. Let y be r(-9). Let u(w) = -3*w**3 - 4*w**2 - 4*w - 3. Let l(i) = i**3 + i**2 + i + 1. What is y*l(f) - 3*u(f)?\nAnswer: -3*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**5 + 10*p**4\/3 + 74*p**3\/3 + 32*p**2\/3 - 71*p\/3 - 14 = 0.\nAnswer: -3, -1, -2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 32*u - 9. Calculate the remainder when m(5) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/25 - 145\/(-25). Let w = -3 + g. Suppose 2*v - 98 = -w*b + b, -5*b = -5*v - 255. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (486 + 39 - 32 + k)*(-70*k**2 + 15*k**2 - 46*k**2)*(k**2 - 3*k**2 + 0*k**2)*(5 - 4 + 1).\nAnswer: 404*k**5 + 199172*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjzcj. What is prob of picking 2 j and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 1544*q - 1539*q - 15, -q - 9 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 5*f + 14. Let h be q(-7). Let d = 2734 + -2717. Solve 4*m - 1 + d = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 483 and 8464.\nAnswer: 177744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46544 and 387136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3131, 3124, 3117?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5888301.\nAnswer: 3, 47, 41761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207 divided by -69.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5 - w**2 + 2 + 2 - 16*w + 4*w. List the prime factors of t(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, h: 3, u: 5, x: 1, o: 1}. Give prob of sequence ohg.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -336219395*x**3 + 5457*x - 9232 wrt x?\nAnswer: -2017316370*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117.54 + -117.54030172. What is k rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2051\/6 - -343. Let f(o) be the third derivative of 0 - t*o**3 + 0*o - 1\/24*o**4 - 2*o**2. Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 37. Let k(z) = -12*z + 1. Let o be k(1). Let p = t + o. Which is the second smallest value? (a) -3 (b) p (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 38 = 16*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6988 and -69\/152.\nAnswer: 265544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 82 (b) 0.2 (c) 2\/5 (d) 1\/6 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 3*y**3\/2 - y**2\/2 - 3*y - 10. Let m(r) = r**3 + 10*r**2 + 8*r - 7. Let g be m(-9). Determine b(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-30284.\nAnswer: 726816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2827, -5690, -8561, -11440, -14327, -17222?\nAnswer: -20125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - 15\/(-20). Let w(n) = -15*n**3 + n**2 - 2*n + 1. Let b be w(f). Is (595\/b)\/(1\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 18, p: 2}. What is prob of picking 2 c?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 912.0395346 to 1 decimal place.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2 - 7035925*v + 14071854 = 0.\nAnswer: -7035927, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3682 divide 109860719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(1 + 3 - 5 + 35*v).\nAnswer: 70*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*a + 5338 = -1537, 0 = -z - 2*a + 1725. Suppose -14*h = z - 10759. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*i - 29027, 2*h + 6 = 8. What are the prime factors of i?\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.716 rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323221 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-80)\/516))\/((-384)\/105472*-103).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 658099121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 163.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2376\/396)\/(-5 + -1). Suppose 0*y - 2 = -y. Let k(z) = z - 2. Let u(s) = -1. Calculate l*k(b) + y*u(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2684618640*i**2 + 2684618640*i**2 + 1059*i**3.\nAnswer: 1059*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/8)\/((-6)\/(-24))*1. Let o(r) = -11*r - 37. Does 12 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l - 2 + 2 + 1 + l**2 + 0. Give d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/4 + 268*d**2 + 2141*d\/4 + 535\/2 = 0.\nAnswer: -1070, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63148 by -77.\nAnswer: -63148\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 15, 4*b = g + b - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20444 (base 5) to base 7.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 169831.5540525 plus 5?\nAnswer: 169836.5540525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-46) - (0 + (-1908)\/276)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -3\/8 (c) 7 (d) -2\/15 (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16454729 - -5?\nAnswer: -16454724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 - 151. Solve -i = 4*i - f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, -113, -169, -225, -281?\n\"Answer: -56*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -41?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5*(-2)\/20)\/(1\/6). Solve 0 = -5*v + 7*v - m*i - 15, 3*v + 15 = -3*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -76218, -304818, -685808, -1219188, -1904958, -2743118?\n\"Answer: -76195*f**2 - 15*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**4 + 68*z**3 + 3612*z**2 + 48*z + 4. Let w(o) = o**4 - o**3 - 12*o - 1. Let m(l) = q(l) + 4*w(l). What is the third derivative of m(k) wrt k?\nAnswer: 120*k + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 4:30 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + -5 + 3129 + -3102?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79874028 by 103.\nAnswer: -775476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.109*1.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20749493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llli when four letters picked without replacement from lqqqillli?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -3*t**4\/2 + 14*t**3\/3 - 16*t**2\/3 + 8*t\/3 + 7. Factor y(r).\nAnswer: -2*(r - 1)*(3*r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4178188?\nAnswer: 2, 7, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095329074.\nAnswer: 2, 7, 17, 270719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 24*d**3 + 13*d**2 + 27*d + 27. Let l be g(-3). Is -583 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-18)\/(-9)*(-483)\/42.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/17 + 406*o\/17 - 404\/17 = 0. Calculate o.\nAnswer: 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10819694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 + 703*f. Let c(y) = 103*y. Determine c(q(p)).\nAnswer: 927*p**2 + 72409*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 1942*f - 974*f = 971*f - 59, 2*l + 10*f = -98 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, 23\/3 in increasing order.\nAnswer: -1, 0.2, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/4? (a) 0.2 (b) 3\/2 (c) -2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.751 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 28 = -2*r. Calculate the remainder when 104 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from qozezqczcmqoqocoeqq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -30*n + 2. Let d(f) = 10*f - 1. Determine -8*d(k) - 3*v(k).\nAnswer: 10*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 995, 991, 987, 983, 979?\n\"Answer: -4*c + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 + 4*k**3 - 29*k**3 + 102 + 9*k**3 + 11*k**3 - 2*k**2 + k to s*k + a + l*k**3 + o*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (19\/2)\/(4\/(-8)). Let l = 30 + k. Let o(h) = h**2 + 10*h + 2. Let z be o(7). Calculate the greatest common divisor of z and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24466 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -102*h - 191 - 88, -3*n + 24 = 16*h - 15*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 2, -1, -20, -4, -2, -5 in ascending order.\nAnswer: -20, -5, -4, -2, -1, 2, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwhwphphhhpak. Give prob of sequence hhh.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (13 - ((-18 - 100) + 36 - (-1 + -9))).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**2 - f**2)*(0 + 0 - 2*f**2) - 2143*f**4 - 19*f**3 + 2142*f**4 - 11*f**3.\nAnswer: -3*f**4 - 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2339, -4676, -7011, -9344, -11675?\n\"Answer: i**2 - 2340*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004699235 to 6 dps.\nAnswer: 0.004699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.51561 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 326, 1193, 2616, 4595, 7130?\n\"Answer: 278*n**2 + 33*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/20 - 7*j**4\/12 - 5*j**3\/6 - 2*j**2 + 4*j. Determine y(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h + 5. Let s(a) = 6*a + 7. Let t(i) = -8*b(i) + 5*s(i). Let f = -7 - -3. Determine t(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -725a672 + -6?\nAnswer: -725a678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3940, -3943, -3946?\n\"Answer: -3*b - 3937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6 - 0. Suppose 4*w + 4*z + 8 = 0, -5*w - y*z + 8 = 3. Solve 7 = -3*i - v, -w*i = 2*i + 2*v + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x*x\/x**7)**(-1\/2)*x**7*x\/(x\/((x\/(x*((x*x**(-5\/4))\/x)\/x))\/x))*x**(-2\/7)*x*x\/x**(-4)*x assuming x is positive.\nAnswer: x**(531\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 12 + 19 - 38 - 26 + 18 + 7*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64\/7 + -136\/21. What is l in 1\/3*l**2 - v*l + 4\/3 + l**3 = 0?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113291613461 + -0.6?\nAnswer: -113291613461.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -52. Let g = -32 - o. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6763 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(396) + sqrt(11))**2.\nAnswer: 14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 17, 17, 13, 5, -7?\n\"Answer: -2*z**2 + 10*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28367021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 7. Let d be j(3). Solve -2*n - 4 = d*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53556521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315*a**4 - 21*a**2 - 237*a**5 + 35*a**5 + 4*a - 315*a**4 wrt a.\nAnswer: -12120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000456809 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.2, -2\/19, -5, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 13*m - 9. Let w be a(9). Suppose -5 - w = -l. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 14. Let k be w(17). Let o be (-18)\/(-36)*2\/k. What is the closest to o in 1, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -442352132 + -41?\nAnswer: -442352213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 13. Let u be q(-8). Let j be (u\/4)\/((-14)\/224). Calculate the greatest common divisor of 30 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 - 51 = 0. Suppose -11*u - v = -7*u. Are u and -11 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1 - 1\/5*d**5 + 0*d + 1\/3*d**3 + 1\/6*d**6 + 0*d**2 - 1\/4*d**4. Factor g(k).\nAnswer: k**2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 558126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from zsxszzazzs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9317, -236\/7, 3, -0.3 in descending order.\nAnswer: 3, 0.9317, -0.3, -236\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2169 (base 11) to base 10.\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 43.\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/804 and 69\/74947942.\nAnswer: 449687652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215 + -68. Let t be (-25)\/10 + 69\/6 + -1. Suppose -t*g = -9*g + j. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1252.222 millennia?\nAnswer: 1252222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1.02 (c) -113 (d) 12\/11 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000096983 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 5*f - 4*f + (-2 + 3 + 1)*(-77*f - 140*f + 23*f) as h*f + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1060215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 - (-2 - (2 - 2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5514 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 - (-17)\/((-1768)\/192).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:17 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -55915004.6?\nAnswer: 55915004.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4239891190 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.6, -2, 28\/9, 9, -1\/11?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-10)*(-3 + (-4 - -3)). Are -3 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = 3. Suppose 0 = -b*u + 3*w + 30, 2*u + w = 4*u - 22. What is the highest common divisor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127.8 - -128. Let d = -3.4 + -0.6. Let m = 2.8 - 3. What is the nearest to m in d, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40469, -80935, -121401, -161867?\n\"Answer: -40466*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by -5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-30)\/18 + 2). Let t(d) be the second derivative of 0*d**q - 3\/20*d**5 + 5*d + 0*d**2 - 1\/6*d**4 + 0. What is the third derivative of t(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15*b - 2. Suppose 5*c = 6*c + 4. Let h be -6 - c - (-3 + 0). Let r be a(h). Are -18 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 5*c**2 - 6. Let u be g(5). Let d be 40\/u*(-6)\/4. Let q be 126\/d - 18\/30. Solve 5*o - 22 = 3*s, -5*s + 3*s + q = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(448)*-2 + -1).\nAnswer: 2 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*m**2 + 107*m**2 + 23*m**2 - 34*m**2 as f*m**2 + g + z*m and give f.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*j**3 - 82*j**3 + 17*j**3 + 38*j**3.\nAnswer: -113*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 - 5*s + 8. Suppose 17 + 7 = -3*j - 2*a, 3*j + 5*a + 33 = 0. Let x be u(j). Determine t so that x*t**2 + 0 - 1 + 4*t + 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 2*r + 1. Let v be c(-3). Let w be (-2)\/v - (-35)\/10. Solve 2*s = s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -2. Let t = 9 - o. Solve 4*h - j + 2*j = 14, -3*j + t = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1.6. Let h = 0.3 - 0.6. Let d = -10 - -14. Sort j, d, h in ascending order.\nAnswer: j, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206 - -89. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-6)*17703\/178997?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1830*v**3 + 2*v**2 - 2*v - 2. Let q(k) = -2516248*k**3 + 2751*k**2 - 2751*k - 2751. Calculate 2751*a(u) - 2*q(u).\nAnswer: -1834*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/15, -4, 0.05.\nAnswer: -4, -2\/3, 0.05, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*d + 111*d - 7 = 0. Let y = -3 + -2. Which is the closest to 2\/7? (a) y (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/20)\/13*(-24)\/57?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -18*w + 3. What is the tens digit of r(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30259 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-32))\/(-5 + (-136)\/(-32))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + y - 2. Let r(f) = 2*f**3 + 6*f**2 - 10*f - 15. Calculate 4*p(s) + r(s).\nAnswer: 2*s**3 - 2*s**2 - 6*s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 30, 16, -24, -96, -206?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n + 416. Give d(37).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -6\/318005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2380 divided by 340\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0 - 2*f + 1 + 2 + 0*f. Let z be y(-6). Let v be 4*(2 - z\/12). Solve -2*x + 3*x - v = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 0, 6 + 4 = 5*f - 5*j. Let b = 4019 - 4023. Put 3, b, f, -1 in decreasing order.\nAnswer: f, 3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38038 divided by 38.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -205, -308?\n\"Answer: -103*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + x - 20, -4*z - 3*x - x + 44 = 0. Solve -2*q + 0*i = -2*i + 6, -i = 5*q - z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.4 - 0.1. What is b rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7388\/587 and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/48*117952\/(-25802)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c86 - -1f09?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*l = 0, 25*y - 24*y = 3*l + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*z**2 + 513*z**2 + 3*z - 1607 - 1208 - 20*z**2 + 325*z**2 wrt z.\nAnswer: 1580*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94.75 + 0.6.\nAnswer: 95.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x - 8 = 0. Suppose d - 18 = -x*j, -3*j - 5*d = -2*j + 9. Solve m - h = 0, -3*h - 32 = 4*m - j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 509305.3100116 + -509674.31. Let h = 369 + j. What is h rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 - 111.0472. Let g = u - -0.04720995. Round g to 7 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.25, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 5*l + 5. Give m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129132120 and 915?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18447049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52b + -10a1b?\nAnswer: -104c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u. Let r(g) = -26391*g + 26391*g - 1491*g**2. Determine a(r(c)).\nAnswer: -5964*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36 * -108.49\nAnswer: -3905.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - o**3 - 51 + 0*o**3 - 983*o.\nAnswer: -o**3 - 983*o - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 7) in base 4?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83728246 + 3?\nAnswer: -83728243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(6\/(-31) - 0). Suppose 2*s + a = 149, -5*s + 26*a - 27*a = -365. Let t = b - s. Put t, -0.3, -5 in increasing order.\nAnswer: -5, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1637233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*h**2 - 954*f**2*h - 93*f**2 - 13*f*h**2 - 31221*f wrt f?\nAnswer: -2*h**2 - 1908*h - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7794.968t in grams?\nAnswer: 7794968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 855133343 to the power of 1\/2, to the nearest integer?\nAnswer: 29243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6590*h**4\/17 + 164834*h**3\/17 + 1320100*h**2\/17 + 3311800*h\/17 + 42000\/17 = 0?\nAnswer: -10, -5, -42\/3295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -45, -0.03, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*w - 32 - 27, -5*w - 235 = -5*d. Let v be (3\/(-3))\/((-1)\/(-17)). Let s = v + d. Calculate the highest common divisor of s and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5576000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 12, 2, 4 in ascending order.\nAnswer: -4, -2, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t, -21 = -m + 5*m + 5*t. Let q(b) = -26*b + 48*b + m - 23*b. Give q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17160256*b**3 + b + 51834386.\nAnswer: 51480768*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 76?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18481550 rounded to the nearest 100000?\nAnswer: 18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/24)\/((-46)\/402). Let i = -1\/46 - k. Calculate the common denominator of -71\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -43*x**3\/3 + 181. Let g(d) = -17*d**2. Give t(g(u)).\nAnswer: -12427*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - s = -6, -9 = -3*w + 2*s - 3*s. Suppose -2*r = 3*k + 6 - 2, 5*r + 3 = -4*k. Do w and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 = 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 111, 244, 429, 666?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30331633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*p = -195, -2*z - p = -7*z + 1053. Let r be 27 + (-3 - (-7 - -1)). What is the highest common divisor of z and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 8*p - 7*p. Calculate the remainder when 94 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 - 113. Suppose -13087 = -g*i + 4*m - 4795, -m + 6642 = 4*i. Round i to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:09 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 6*p**4 - 3*p**4 + (-13*p + 5*p**2 + 13*p)*(2*p**2 - 3*p**2 + 0*p**2) - 6*p**4 + 2*p**4 - 2*p**4 + (-4*p**2 + p**2 + p**2)*(4*p**2 - p**2 + p**2).\nAnswer: -17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-15)\/9))\/(8\/(-40))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46117555 = -u + 10399164. Let i = 3120302 - u. Suppose -i - 4961307 = 3*c. What is c rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(12\/5))\/(1\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:39 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, r: 4, f: 3, v: 2, u: 3, k: 1}. Give prob of sequence krk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0 - 1\/15*c**5 + 1\/60*c**6 - c**2 + 1\/105*c**7 + 0*c + 0*c**3 + 0*c**4. Factor n(z).\nAnswer: 2*z**2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -25022*z + 5204580. Determine c(208).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/11 in 1, -0.4, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2998 = -3*p, -359 - 655 = -p + 4*q. Suppose -3*l - 20*h = -19*h - 3002, l = -h + p. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101.4 - -55.4. Which is the second smallest value? (a) -1 (b) v (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*c**2*q**5 - 72*c**2*q + 956*c*q**5 - 3*c*q + 131*q wrt q?\nAnswer: 2020*c**2*q**3 + 19120*c*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1735.3?\nAnswer: 8676.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 31*o + 409. What is c(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351452 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4349922 or 4349910?\nAnswer: 4349910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p - 14. Calculate the least common multiple of 22 and t(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23478837?\nAnswer: 3, 23, 227, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*i = 162*i - 5040. Calculate the lowest common multiple of i and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g**3 + 0*g + 0 + 0*g**4 + 1\/30*g**5 + g**2. Let i(v) be the first derivative of -v**2 - 2. Give i(h(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 11. Find the first derivative of -7 - x*q + q + 16 wrt q.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 545168, 1090387, 1635606, 2180825?\nAnswer: 2726044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 59 = -2*d, 27 = 3*g - 4*d. Suppose 3*m - m = 100. Calculate the remainder when m is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41*-87.333.\nAnswer: -35.80653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -859*o**4 + 5*o**2 - 12*o - 279079 wrt o?\nAnswer: -3436*o**3 + 10*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 147*v**2\/2 + 628*v - 966.\nAnswer: (v - 138)*(v - 7)*(v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:13 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5603 = 4*f - 6773. What are the prime factors of f?\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -1000000101101100?\nAnswer: 1000000101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 4.5. Let z = 6937286.74 - 6937282.73999983. Let b = q + z. What is b rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178333809.\nAnswer: 2178333809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 108472408 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t**3 - 858*t**2 - 10999*t + 4289. Determine q(-70).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1, 12\/5 in descending order.\nAnswer: 12\/5, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0763148 and 0.4.\nAnswer: -0.03052592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7923, 15850, 23777?\n\"Answer: 7927*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1250*q**2\/7 + 185370600*q\/7 + 6872451868872\/7.\nAnswer: 2*(25*q + 1853706)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 17*q**2 - 12*q - 16. Calculate the remainder when c(18) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*n = 72*n + 190. Let u(z) = -z**2 - 19*z - 11. Determine u(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14373, 14537, 14901, 15465, 16229, 17193, 18357?\n\"Answer: 100*p**2 - 136*p + 14409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1936*t = 1926*t + 380. Solve t*l - 46*l + 8 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 15720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/5 - 143*f**4\/5 + 44054*f**3\/5 + 1785988*f**2\/5 - 7667944*f\/5 + 7841824\/5 = 0.\nAnswer: -278, -41, 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 136*i - 160. Let k(v) = -15*v + 16. What is -28*k(l) - 3*y(l)?\nAnswer: 12*l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**2*r**2*x**3 + j**2*r*x**2 - 2*j**2*r + 12*j*x**3 - 5*r**3*x**3 - 14*r**3*x**2 wrt x?\nAnswer: 36*j**2*r**2 + 72*j - 30*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/94 and -43\/268.\nAnswer: 12596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 k when four letters picked without replacement from iiibbkkib.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/93976817 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000443877111 to seven dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355983014 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2119345040 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44\/4 + -4 + 2176\/(-306)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250) - (sqrt(1250) - (sqrt(1250) - (sqrt(1250) - (sqrt(1250) - 4*sqrt(1250))))))\/(sqrt(250)*-3).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + -16)*1125\/4. What is s rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -1 (b) 2\/3 (c) 1 (d) -62 (e) 208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let m(r) = 7*r + 3. Let y(c) = -76*c - 32. Let v = 44 - 47. Let t(i) = v*y(i) - 32*m(i). What is w(t(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 4:31 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 12*v - 9*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 10*g - 3*c + 1278 = 0, g - c - 1310 = 0. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(315\/48)*((-125)\/26)\/(-25)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982409427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 597 = -372. Solve -t = 15*v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prenrrn. Give prob of picking 1 n and 3 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - o + 9, -2*o = 19*p - 23*p + 24. Let w be (-38)\/(-4) - 1\/2. Suppose -w + 3 = -3*n. Solve 3*m = n + p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -24*c + 21*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293476 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: Is 15509856535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 590 - 589. Suppose o - 1 = -33*f. Sort -0.5, 2, -6.6, f in increasing order.\nAnswer: -6.6, -0.5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59709 divided by 7.\nAnswer: 59709\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 5\/22, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -62*j**3 + 186*j**2 - 11*j + 26. What is g(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 3*m - m)*(-42*m**2 + 51*m**2 + 1965 + 65*m**2 - 40*m**2 - 33*m**2) in the form w + c*m + v*m**3 + x*m**2 and give c.\nAnswer: -7860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/2*-2*(-70)\/(-196).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/29)*(c*c*c**(-2)*c*c)\/c*(c**(1\/13)\/c)\/c*c**(2\/49) assuming c is positive.\nAnswer: c**(-17572\/18473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70682 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4, 4*x + x + 76 = d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -2484.\nAnswer: -49\/2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.402 * -0.2\nAnswer: -0.0804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from aegevvele.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-7*r + r - 4*r)*(1 + 0 + 1)*(-589 + r**2 + 587 + 56*r**2).\nAnswer: -1140*r**3 + 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 9*a - 10. Let m be u(-7). Let h(r) = -14*r**2 + 43*r + 27. Let l be h(0). Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from wwwwwwwwwwwaw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -946 < 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14014658, -14014659, -14014660, -14014661?\n\"Answer: -p - 14014657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 23 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(1700) - sqrt(85)\/sqrt(5)*1) + (2 + (sqrt(1088) + -1 + sqrt(1088) + -2 + sqrt(1088))*5)**2.\nAnswer: -3131*sqrt(17) + 244968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:47 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23894 and -0.06.\nAnswer: 1433.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19411\/6 - -1 - (-1)\/(-6). Let c = b + -1. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657 + 379 - 12*m + 364 + 8*m.\nAnswer: -4*m + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 5*m + 0*m - 30 - 2*m.\nAnswer: 3*m - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85e + -3?\nAnswer: 85b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23201.97 years in months?\nAnswer: 278423.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 81*d**3 + 6*d - d**2 + 36*d**3 + 36*d**3 + 0*d**2 + 27*d**3 in the form s*d + p*d**3 + z + n*d**2 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.68539 + -0.31461. Let t = 2 + -3. What is the fourth biggest value in -0.2, 1, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -33. Let r(f) = -f**2 + 13*f - 10. Let d be r(q). Calculate the highest common divisor of 160 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2464 + 8507 + 3705)*(-2*o**4 + 2 - 2) in the form k*o + h*o**4 + y*o**3 + d + j*o**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1694 and 286?\nAnswer: 22022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32626.4 millilitres?\nAnswer: 32.6264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 8, k: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*l + 6. Solve 0 = a - 3*d - 7, l + 2 = -5*a - 4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 73, -2436, 3, 4 in ascending order.\nAnswer: -2436, -1, 1, 3, 4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -478 (b) 1 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:43 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {b: 3, p: 1, g: 1, a: 2, r: 3, n: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1245720 divided by 17796.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 34. Let l be h + (0\/1)\/2. Suppose 5*k - 25 = -0*k. Calculate the highest common divisor of l and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12780775 divided by 4975?\nAnswer: -2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.25256 less than 0.01929?\nAnswer: -4.23327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/385 + -1163\/1540. Let k = -0.59 - -6.59. Which is the second smallest value? (a) l (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13860\/(-275))\/(-84))\/((-36)\/4020).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -8. Let n(x) = -x. Let y be n(i). Suppose -5*r + 7 = 3*k + 27, r = 5*k + 24. Put y, 1, r in descending order.\nAnswer: y, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0866387 * -92\nAnswer: 7.9707604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -130220 (base 8) to base 12\nAnswer: -221a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 11?\nAnswer: 37\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 50*m**2 + 1357*m\/2 - 31329.\nAnswer: (m - 18)*(m + 59)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = h - 100. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 542*v + 39210. Determine p(-86).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 52*l + 551. Let f be u(-9). Solve 0 = -3*o - 3*v - 2*v + 1, -f*v = -o + 15 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218371418?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 13*z + 5. Let q be i(12). Let x be (-14)\/(-49) + (-26)\/q. Suppose 294 = 9*c + 60. Solve x*s = -5*m + 3*m - 20, -2*s - c = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 992223897 to the nearest integer?\nAnswer: 31500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14625913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, u: 8, m: 1}. What is prob of picking 1 g, 1 u, and 1 m?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -4*u**5\/5 + 15*u + 13. What is the first derivative of m(d) wrt d?\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206011, 404778, 603545, 802312, 1001079, 1199846?\nAnswer: 1398613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 163*n - 240.\nAnswer: -(n - 80)*(2*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481960217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 116 - 94*z**3 - 101*z**3 - 101*z**3 + 2*z**2 + 298*z**3 as o*z**3 + x + g*z + k*z**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let z(d) = -1 + d**3 - x + d - 2*d**2 - 7*d + 4*d. What is the units digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 2*p - 7, -34*p + 29*p = -x - 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22508 (base 10) in base 5?\nAnswer: -1210013","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 6168*d. Let c(m) = m. What is c(q(r))?\nAnswer: -4*r**2 - 6168*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - -523124121?\nAnswer: 523124032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8820)\/216)\/(-7)*5\/(25\/(-2)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 21188715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((-261)\/(-72)*-3)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 204224?\nAnswer: -204224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000210102011 (base 3) to base 13.\nAnswer: -161ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*w - 11, -5*w + 19 + 36 = 3*d. Solve 3*r = 54*c - 50*c + 6, 0 = -4*r + 3*c + w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhh when three letters picked without replacement from {c: 1, h: 4, d: 1, l: 1, a: 3, g: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/3*2\/2. Let s be 2 - (0 + b + 6). Let w be (-6)\/39 - (-55)\/(-65). Put 4, w, s in increasing order.\nAnswer: s, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 - 68*j + 4446\/7.\nAnswer: -2*(j - 9)*(j + 247)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:12 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9492307.\nAnswer: 11, 17, 23, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (36\/(-42))\/((-33)\/(-308)) + 12650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -40. Suppose u = -5*q + 5*v + 30, -12 = -4*q - 0*q - 2*v. Suppose 3*s - 6 = 3*n, q*n - 16 = -4*s - 0*n. Solve 0 = -2*l - s + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7202 = -5*q, 2*p - 4328 = 3*q - 2*p. Round q to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-7826\nAnswer: 54782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8168 >= 8169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*t = 12, r + 46*t + 12 = 50*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lymr when four letters picked without replacement from zryilyirylyzizimlizi.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5510040874?\nAnswer: 2, 13, 31, 6836279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1099 divide 8681001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 179. Let i(g) = 23*g**2 - 3. Let p(f) = -38*f**2 + 5. Let l(m) = 5*i(m) + 3*p(m). Give l(u(z)).\nAnswer: 9*z**2 + 1074*z + 32041","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -387\/100 + 78\/25. Let z be 2\/3*1 + 0. Which is the third smallest value? (a) z (b) l (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -494*z - 2808. Let a(w) = -2*w - 12. Let r(d) = 468*a(d) - 2*m(d). Let k(n) = 10*n**2 + 2*n. Determine k(r(s)).\nAnswer: 27040*s**2 + 104*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130 + 130.5. Let w be 406\/105 + (-12)\/3. What is the closest to w in a, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1336 and 835.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1224)\/168 - (-2)\/7. Suppose 4*j = 2*j - 4. Put 1, v, j in ascending order.\nAnswer: v, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 0.01, -0.3 in decreasing order.\nAnswer: 0.01, -0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*d**3 - 2101*d**2*s**2 + 5*d**2*s - d*s**2 - 606420*d*s wrt d.\nAnswer: -60*d - 4202*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + c**2 + 2881*c + 94. Determine b(0).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*3*sqrt(36))\/sqrt(12))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 19*s - 541. Calculate the highest common divisor of 56 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 - -1 - -3)\/(5*(-4)\/(-10)). Let k(j) = -8*j**2 - 12*j + 12. Let t = -9 + 10. Let l(u) = u**2 + u - 1. Determine t*k(d) + v*l(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410996 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n = -152126 - 158359. Round n to the nearest one hundred.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2. Let d(c) = -346*c + 1371*c - 344*c + 141 - 338*c - 345*c. Give d(a(v)).\nAnswer: 8*v**2 + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:42 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*p, 28 = -5*i + p + 4. Let x(d) = 3*d + 12. Determine x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 9. Let c be y(0). Let h be ((-24)\/(-10))\/(c\/(-60)). Let b be (-1 + 21\/12)*h. What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**2 + 8*i**2 - 1 + 1. Suppose 4*z - 6 = -30. Let g(m) = 302*m**2 - 2*m + 24 - 9 - 307*m**2 - 15. Determine z*t(h) + g(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:49 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.6652 + -0.0348. Let p = 31.994 + m. Let t = p + -0.293881. Round t to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:33 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -53*s - 26. Let c(b) = 18*b + 9. Let u(g) = 8*c(g) + 3*k(g). What is u(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*y - 283*y - 1941 - 4023 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.011*4\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -50?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/5 + 22*z**3\/5 + 74*z**2\/5 + 18*z + 36\/5 = 0. Calculate z.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 92 = 16*g. Suppose 2*j**3 + 0*j**4 + g*j**5 - 19*j**5 + 14*j**5 - j**4 = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20800 divided by -520.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 10*j + 2. Let a be m(10). Suppose -5*c = -a*c - 60. Suppose 2*b + y = -0*b + c, -2*y + 31 = 3*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k + 4*k - 18*k. Let s(q) be the first derivative of 1\/3*q**3 + 36 + 0*q + 0*q**2. What is s(a(l))?\nAnswer: 441*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -5. Let j = z + -86. Sort 0, 3, j in decreasing order.\nAnswer: j, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(18)\/sqrt(8)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, -4*o + 2*o = 4*w + 24. Suppose -3*f = -z - 2, -4*f = 5*z - 2 + 12. Suppose f = 4*h - 3*t + 18, -h - 10 = -t + 3*t. Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6 (base 12) to base 16.\nAnswer: 10e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b + 42. Let m be j(-21). Let l = m - -161. What is the remainder when l is divided by 260\/22 + 6\/33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2486939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(475)*4)**2*3.\nAnswer: -45600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7004161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) - -5*2*sqrt(91)))\/sqrt(567).\nAnswer: -10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/30*(-20)\/72*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3\/3 + m**2\/2 - m - 2. Let o be x(-3). Solve -o*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 111, 265, 561, 1047?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 353 and 29773?\nAnswer: 10509869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 16*y + 54. Calculate x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 - 92. What is the highest common factor of 50 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v - v + 13*v + 4*v**2 - 48 - 5*v. What is the hundreds digit of p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 13. Let p(l) = -l**3 + 4*l**2 + l - 3. Let b be p(4). Let f be 0 - (0 - (18 + b)). Calculate the greatest common factor of f and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) - sqrt(240)*4)\/(-1*sqrt(20)\/sqrt(4)) - (-2 + (sqrt(243) - (sqrt(243) - 2*(sqrt(243) + -2 + sqrt(243)))))**2*-4.\nAnswer: -1716*sqrt(3) + 15696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:52 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036332223 rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629 and 3672.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isi when three letters picked without replacement from {a: 1, z: 1, i: 2, s: 4, d: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -350*c + 172. Does 8 divide t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5504, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2) + (-3)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 100, -10\/19 in descending order.\nAnswer: 100, -10\/19, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 46\/(-8) - 2. Let v = 2 - 1. Let z = 1 - v. Which is the nearest to k? (a) -3 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677.3437 centimeters to millimeters.\nAnswer: 6773.437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 323 - 663. Let l = f + 555. Let g = -214.99913 + l. What is g rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 2698330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -35. Let u(f) = -5 + 7 - 15*f**2 + y. Let l(p) = -4*p**2 + 3. Let t(r) = 22*l(r) - 6*u(r). Let n(m) = 7*m. What is n(t(v))?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 4 - 2*u**4 + u**3 + 3 + 8*u**4 as a*u**4 + j*u + z + l*u**2 + v*u**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1552 - 1579 + 2908)*(v**2 - 3*v**2 + v**2).\nAnswer: 223*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(32)*4.\nAnswer: 5 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 != 474149\/3479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h + 83. Let x be a(-14). Sort 0.3, -4, x.\nAnswer: -4, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537927 is divided by 179304.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 10249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7108*r + 186 = -7046*r. Suppose -b - 3*b = 0, -4*i + 2*b = 0. Suppose i = -4*h + 6*h - 24. What is the least common multiple of h and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 12) to base 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**3*p)*p**(7\/3)*p*p assuming p is positive.\nAnswer: p**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 16. Suppose 0*g + t = 2*g. What are the prime factors of (-3 - -4)\/(g\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3531, 3566, 3613, 3678, 3767?\n\"Answer: j**3 + 28*j + 3502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/2)\/(3\/(-6)))\/(((-10608)\/(-340))\/(-52))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40016 + 40021 + 2*k**2 - 160165 + 40115 + 40013.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(34)\/sqrt(2) - sqrt(17)) + sqrt(2057) + sqrt(2057) + 0 - sqrt(136)\/(-5*(sqrt(128) + sqrt(8) + sqrt(8)) + sqrt(8))*2)*-3*3)**2.\nAnswer: 564019200\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/3 - 1\/3. Let s = 8 - 7. Let m be 1*(-2)\/(-4)*s. Which is the closest to m? (a) 0.3 (b) i (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.715 - 7.3. Round t to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + 196?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4 - 60011*h**3\/2 - 195067*h**2\/2 - 82532*h - 15006 = 0.\nAnswer: -2, -1, -1\/4, 15006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from yiyyk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 429629\/10*x**5 - 5\/12*x**4 - 41*x - 1\/2*x**3 + x**2 + 0. Let p be s(-3). Round p to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.339791 rounded to 3 dps?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - 21*s + 16. Let a be h(-11). Suppose 3*x - 80471 = 4*k, 0 = a*x - 2*x + 9. What is k rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2 - 0. Let s be (u - 0)\/4 + 0. Let m = 1291\/3000 - 97\/1000. Which is the smallest value? (a) m (b) s (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*d**3 + 0*d**3 + d**3 - 4*d - 3*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 4*z**2 - 20*z + 6. Let y be (14\/4)\/(5\/(-30)*3). Let v be q(y). Put v, -3, -2, 5 in descending order.\nAnswer: 5, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -f - 5, 4*c - 10 = -0*f + 2*f. Let t = 4 - c. Factor 3*z**4 - 4*z**4 + 0*z**t - 1 + 2*z**2.\nAnswer: -(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153666.\nAnswer: 2, 3, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 69 = 5*i - k, 0 = -5*i + 2*k + 127. Solve 3*q + 18 = i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*n = -116*n + 78*n + 505925. Calculate the highest common factor of 3325 and n.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(2\/7))*r*r*(r*r*r**(-4\/9)\/r)\/r)**(5\/2)\/((r*(r\/(r\/(r*r**1\/r)))\/r*r*r*r)\/r*r**(-2\/13)*((r\/r**(-1))\/r)**(-3\/7)) assuming r is positive.\nAnswer: r**(1790\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (2\/(-4))\/(4\/32). Are 41\/2 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - z)*(1 - 3 + 3)*(2 - 5 + 4).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16570428397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 12) to base 16\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6437*m**3*y**3 + 17451280*m**3 - 94*y**3 wrt y?\nAnswer: -19311*m**3*y**2 - 282*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6356?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j - 120. Let h(t) = -5*t + 40. Determine -6*c(m) - 17*h(m).\nAnswer: m + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6045 (base 8) in base 11?\nAnswer: -2377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-70)\/616)*(-1)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*b + 9753950 - 1173080. Round b to the nearest 1000.\nAnswer: -141000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 h when three letters picked without replacement from {w: 5, h: 8}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6 - 0)*(83 - -1). Is 56 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 1, e: 2, z: 1, t: 1, l: 1}. Give prob of sequence lefh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4637 - 4638. Let x = 0.13 + -5.13. Let r be 1\/(14\/12 + -1). What is the closest to -2\/7 in x, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 3:21 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -870, 19815, -3?\nAnswer: -870","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -98402, 0.\nAnswer: -98402, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 120*y**3 - 233*y**3 + 119*y**3 + 6*y**4 to s*y**2 + w*y**4 + n + j*y**3 + r*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10127264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28*s - 158. What is z(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24360)\/7105)\/(360\/(-1134))?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**2 + 46 - 100 + 54. Let k(b) = b**2 + 9*b. Calculate k(r(s)).\nAnswer: 49*s**4 - 63*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b**2 + 54*b + 1481. Let t(z) = 11*z**2 + 54*z + 1492. Let y(h) = -7*t(h) + 6*u(h). Differentiate y(o) with respect to o.\nAnswer: -10*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - -4*(sqrt(66) + sqrt(66)*1))*-3)\/(sqrt(54)\/(1*sqrt(9)*4)).\nAnswer: -108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 421800 and 2400.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394 by 1.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**5\/60 - t**4\/8 - 2*t**3\/3 + t**2. Suppose -2*r - 8 = j, 3*r - r + 3*j = -12. Determine y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 26 - 547. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(600)*-2)\/((sqrt(128) - (-2*sqrt(128) - sqrt(128)) - sqrt(128))*3).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*d = d + 20, 4*d = 16. Let n(j) = -30*j - 21. Let v(f) = -6*f - 4. Give k*n(r) - 21*v(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = 55*i - 7744. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*d = 30, f - 2*f - 5*d + 10 = 0. Let s = -16 - -13. What is the third biggest value in -1, 2, f, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3 - -1) + -7 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -2241*c**4 - 2759*c**3\/3 - 1315. What is the third derivative of h(s) wrt s?\nAnswer: -53784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2647614?\nAnswer: 2, 3, 17, 101, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9605 is divided by 125?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/6*(-27)\/18. Suppose t*q + 664 = 15*q. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Suppose -2*s + 3*k = -24, 0 = 4*s - 0*s + 4*k - 48. Let w be -2*2\/s*i. Is w > 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*i**2)*(1 - 3 + 3)*(11*i - 9*i + 20*i).\nAnswer: 66*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)\/(1\/18). Let d = n - -25. Solve d*q - 15 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 6. Let x be r(-7). Let v = -0.3 + -0.3. Let n = v + 0.9. What is the second biggest value in -0.1, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = m - 7*m. Let l = m + 15. Suppose -3*w - 271 = -l*b, 5*b + 134 - 407 = 4*w. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10776648 and 17100?\nAnswer: 808248600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from atamy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 9*b + 11. Let c be x(-6). Suppose 2*v = -0*v + d - 8, 0 = -4*d - 16. Is c\/((-21)\/v) - -15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y + 63*y - 31*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137702012 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from bxlhbbz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14666 divided by 5\nAnswer: -14666\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 3*s**5\/20 - s**4\/6 - s**3\/2 - 5*s**2. Is 17 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4785 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-5))\/(12\/630). Let c(a) = -1 - 3*a**2 + 82*a + a**3 - f*a + 7. What is the lowest common multiple of c(4) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8763 - 8769.6092. Round k to 1 dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107? (a) 0.4 (b) -3\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5328325, 5328518, 5328711, 5328904, 5329097?\n\"Answer: 193*k + 5328132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-21) - 1)\/(30392\/(-406) + 73)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19ab0 (base 13) to base 11.\nAnswer: 34767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*-2*sqrt(6336))**2 + (2 + (sqrt(6336)*-2)**2 - sqrt(6336)) + sqrt(6336) - (-5 + 4*2*sqrt(6336))).\nAnswer: -937735 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -3*d, 2*d - 9 = -d. Solve -y*g - 5 = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -19. What is the tens digit of -1 - (-24 + (-1 - a))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 130*q - 114*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 13 + 20 - 55*s as z*s + i and give i.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1915335*c**2*o**2 - 37*c**2*o + 55*c**2 - 6*c*o - c wrt o?\nAnswer: -3830670*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 8*j**2 + 18*j + 11. Give v(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0*r + 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 1122?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 8 = -w, -458*w - 29 = 4*r - 441*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 + 17*b**2 - 5*b + 16. Let z(t) = -2*t**3 - 9*t**2 + 2*t - 9. Let d(h) = -3*g(h) - 5*z(h). Let s be (-2)\/(-1)*(-20)\/(-8). What is d(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqmqmzvmv. Give prob of picking 1 q and 2 v.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -29*n**3 + 3*n**2 + 2*n - 1. Is b(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4632, 9369, 14224, 19197?\nAnswer: 24288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/4 - 11)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/198*165834\/(-9213)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 18. Let z(k) be the second derivative of 5*k**3\/6 - k**2 - 14*k. Let c be z(-4). Is i(c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3 + 6 - 74*p - 6*p to the form r*p + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1766? (a) 0.2 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 5*p**3\/3 - 11*p - 6. What is the derivative of k(y) wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - -10. Suppose -122*x = -120*x - 2996. Suppose x = c + 13*c. Calculate the remainder when c is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13928*y**4 - y**3 - 2*y**2 + 144*y - 25.\nAnswer: 167136*y**2 - 6*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q - 2*r - 10 = 0, 0 = -4*q + 2*r + 40. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:11 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/1 + (-3 + 2)*-3. Let i(p) = p**2 - 12*p - 77. Let x be i(19). What is the highest common divisor of x and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 + 46*d**2\/5 + 947*d\/10 - 104.\nAnswer: (d - 1)*(d + 13)*(d + 80)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 301110 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -1\/5 (c) -0.06 (d) -0.35 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216*i**2 - 220*i.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-7) + ((-26)\/(-7) - 4). Suppose 2*r + 154 = k*a - 0*a, 0 = a - 2*r - 82. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(2 - 8 + 2)*(1809 + 504*r**2 - 1809 + (3*r - 3*r - 2*r)*(2*r + 4 - 4)).\nAnswer: -4000*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14481439 to the power of 1\/2, to the nearest integer?\nAnswer: 3805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3362 and 16176263?\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -820, -805, -762, -679, -544?\n\"Answer: 2*r**3 + 2*r**2 - 5*r - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*t + 2)*(-2*t + 3*t + 0*t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 2. Suppose 0 = -6*w + 7468 + 596. Let c(h) = w - 3*h + 5*h - 1341. Determine 4*c(y) - 3*k(y).\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x**3 - 3 + 0*x + 0*x**2 + 1\/8*x**4. Factor s(m).\nAnswer: m**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 7429.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {d: 1, s: 2, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -56, -62, -68?\n\"Answer: -6*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1200559, -1200363, -1200167, -1199971, -1199775?\n\"Answer: 196*k - 1200755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 - 4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55424, -236041, -537070, -958511, -1500364, -2162629?\n\"Answer: -60206*h**2 + h + 4781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 13) to base 16\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((1750\/75)\/(-35))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (0 - 838\/(-378))) + (-114)\/133\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12126 and 2?\nAnswer: 12126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 34 = 7*o + 3*p, -2*p = -4 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468129.\nAnswer: 13, 31, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-1)*f*f)\/f)\/f)\/f**(-4\/11))\/(f*f**3*f)**(-46) assuming f is positive.\nAnswer: f**(2534\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514 is divided by 500.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3 - (-2 - 0)) + 5. Let b(z) = z**2 - 7*z + 6. What is b(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 14*a**2 + 2*a - 4. Let y be n(-13). Suppose 0 = 146*p - y*p - 4480. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + m - 1. Let h(b) = 350*b**2 - 1. Let o(a) = 2*h(a) - 6*s(a). Does 32 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*t**2 - 7*t**2 - 25 + 11*t + 4*t.\nAnswer: 5*(t - 1)*(2*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23472\/30 - ((-3)\/5 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**6\/51 + 14*c**5\/85 + 5*c**4\/17 - 40*c**3\/51 - 56*c**2\/17 - 64*c\/17 - 691. Solve n(u) = 0 for u.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, t: 2, o: 5, y: 5, n: 5}. What is prob of sequence on?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(0 + -5*sqrt(108) + sqrt(36)\/(-5*sqrt(12))) + -2)**2.\nAnswer: -604*sqrt(3)\/5 + 68503\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Let k = 7928922\/5 + -1585784. Sort k, w, 1.41, -0.4 in ascending order.\nAnswer: -0.4, k, 1.41, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -320 + 530. What is r rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (98 - (-14 + 27 + -12)) - (5 - 10)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 5*l + 21. Let o(y) = 2*y**2 - 10*y + 43. Let d(c) = -3*o(c) + 7*q(c). Let i(r) be the first derivative of d(r). Calculate i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -5 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55627121 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -126636636 divided by -84?\nAnswer: 1507579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -276*i + 1846. Calculate the smallest common multiple of 14 and m(6).\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*v + 5*s, -v + 5*s + 4 = 6*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + 60\/9. Let z = m + -3. Suppose -p + 0 = -2*i - 5, -33 = -3*p - z*i. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b - 3. Let h(v) = 6*v + 2. Calculate 3*h(d) + 2*l(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 269, 266, 263, 260?\n\"Answer: -3*p + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -967694 divided by 2863?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from ooosslmlsloofsgls?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 8*c + 4. Suppose 2*o + 35 = -3*o. Let s be n(o). Let t be 2\/(2 + -1) - s. Solve 0 = 5*f - 4*z + 11, 0 = t*f - f + 2*z + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 z when three letters picked without replacement from {x: 7, z: 2, i: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 498492 and 8474364?\nAnswer: 8474364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/3135 and -73\/114.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + -3.6. Let y = -1 - i. Let l = -2.99957 + y. What is l rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 5252228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + ((sqrt(343) - (sqrt(343) + -3 + sqrt(343)*2 + sqrt(343) + sqrt(343))) + (sqrt(343) - (sqrt(343) + 0)) + 4 - (-1 + 0 + sqrt(343) + 1)))*-1)**2.\nAnswer: -22680*sqrt(7) + 311616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 227*w - 4115*w**3 + 4117*w**3 - 4 + 6 - 3 + 0 to r*w**3 + i*w + h + f*w**2 and give i.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - i + 2*i)*(-4 + 5 - 3)*(16 - 74 + 26635*i - 26637*i) in the form o + d*i**2 + t*i and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.085 - -0.485. Sort 4, -2\/5, d, 0.1 in descending order.\nAnswer: 4, d, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 142 = y, -4*y + y + 4*z = -452. Suppose 3663 = 30*n + 3*n. Calculate the highest common factor of n and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 38*l**2 - 3*l - 6. Give d(-20).\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 5:21 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2501794*i**2 - 2502239*i**2 + 1 - 1.\nAnswer: -445*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 122232002 (base 5) to base 6\nAnswer: 20323142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8 - (-595 - -10))*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65122 is divided by 3778.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/1)\/(338\/(5 + -18))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-84)*3 + (-1326)\/42. Let m(y) = -5*y - 146. Let v be m(a). Solve -2*w - 5*r - 19 = 0, -2*w + v = -4*w - 3*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 8089 = -3*d - 8120, -d - 4 = -0*d + 5*n for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1224, 1183, 1122, 1035, 916?\n\"Answer: -x**3 - 4*x**2 - 22*x + 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*a**3 - 30*a + 30*a + 379*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -47d (base 15) to base 11\nAnswer: -846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7107?\nAnswer: 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l + 5*a - 5, -3*l + 4*a = 4. Suppose l*g = 2*g. Suppose 2\/5*s**4 + g*s**2 + 0 + 2\/5*s**3 + 0*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 12. Let g be i(11). Let o = -40 - g. Let c(q) = -q**2 - 4*q + 8. Determine c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*g - 376*g - 6972 = -41*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1135, -1011, -885, -757, -627?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25*7 - (-10 + 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - 11. Let m = n + 35. What are the prime factors of ((-1)\/((-3)\/4))\/(m\/222)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, -8\/655, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17730506723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:59 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 13*w**2 + 233*w + 37. Determine g(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -52884.48628 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 672603.4 kilograms in micrograms?\nAnswer: 672603400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40, -43, -40, -31?\n\"Answer: 3*d**2 - 12*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 11*m**4\/12 - 5*m**3\/3 - 11*m**2\/2 + 13*m - 2. Let o be z(-1). Put o, 1, 2 in decreasing order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 - 4 = 0. Sort -3, 5, n in decreasing order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/20 + 3*n**4\/4 + 25*n**3\/6 + 13*n**2\/2 - 124*n + 2. Is m(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(468))*4*3*-3)**2 - (-3 + (-2*sqrt(468))**2 - (sqrt(468) - (-4 + 3 + sqrt(468)))**2).\nAnswer: 604660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 93 in 25.04, -8, -2\/7, 4?\nAnswer: 25.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11\/(w*w**2*w))**43 assuming w is positive.\nAnswer: w**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 32 = -3*s. Suppose -s*x = -4*x. Let w(y) be the third derivative of y**5\/60 - y**4\/24 + y**3\/2 - y**2. What is w(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 3*a**2 + 3*a + 3. Calculate the remainder when k(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(684) + (-2 + sqrt(684) - sqrt(684)) + sqrt(684) + 2 + 5)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253.91 - 254. What is the fourth smallest value in -3\/7, -5, l, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (sqrt(1053) - (sqrt(1053) + -1*sqrt(1053)*-2 + sqrt(1053))))**2*-5.\nAnswer: 189540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose -32*t - 8 = -28*t. What is the nearest to -4 in t, 1\/3, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(50)) + 4 + -5 + sqrt(2) + sqrt(2) + 0.\nAnswer: -18*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - g**2 - 177 + 86.\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**(-2\/131) assuming i is positive.\nAnswer: i**(2\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 991348 and 420.\nAnswer: 104091540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1616225, -3232414, -4848605, -6464798, -8080993, -9697190, -11313389?\n\"Answer: -a**2 - 1616186*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8283*m**2 + 4144*m**2 + 4192*m**2 + 58*m**3 - 61*m**3.\nAnswer: -3*m**3 + 53*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -461*k**2 - 31*k + 29. Let r(t) = -229*t**2 - 16*t + 13. Let h(i) = 7*r(i) - 3*v(i). What is the second derivative of h(f) wrt f?\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1321412314?\nAnswer: -1321412313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1857\/13 + -143. Suppose -33*p = -28*p - 5. What is the nearest to p in 3, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjqf when four letters picked without replacement from qffqfqfqfqffqfj.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3 + 228*q**2 + 6328*q + 11760 = 0.\nAnswer: -70, -42, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182.95 + -257.92. Let s = -75 - k. What is the third smallest value in s, 2\/13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - 2*c - 2 + 3*c**4 - 3*c**4 + (-16633 + 12*c**2 + 16633 - 2*c**3)*(-2*c + 2*c**2 + 2*c).\nAnswer: -6*c**5 + 24*c**4 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -21. Suppose -3*b = -4*n + 5*n, -4*n = -p*b. Let d = -1 + 6. Solve -d*r - v - 15 = b, -2 = -2*r + v - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 11811 - 2444 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.7 + 64.7. Let g = a - 53.99999963. Round g to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215664916*w**3 + 2046049*w**2 + 84.\nAnswer: 1293989496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let w be v(10). Let x be 3*(-2 + w\/3). Suppose -n + 67 = -2*d + 6*d, x*n - d = 183. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 916.118 kilograms?\nAnswer: 916118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:39 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 4*z - 2 + 0 - 8*z. Let x be w(2). Suppose -6*t + 48 = -x*t. Calculate the smallest common multiple of 14 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 17 = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8139187, 8139186, 8139185?\n\"Answer: -d + 8139188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19\/8, 37, -116710?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 3, y: 1}. Give prob of sequence ly.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + i**2 - i**2)*(-i**2 + 3*i**2 - 4*i**2).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.044 - 0.07. Round n to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3309 + 2741 - 4758)*(c**3 + 2*c - 2*c)*(c + 2*c + 4*c) in the form g + x*c**2 + p*c + s*c**3 + t*c**4 and give t.\nAnswer: -37282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*r, -3*o + 107 = -o - 5*r. Suppose -3*j + o = -0*j. Suppose m - 10 = -0*m. Calculate the smallest common multiple of m and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 6*x - 0. Let y be (-24)\/x + 50\/4. Let d = -67 + 66. Sort d, y, 0.3.\nAnswer: d, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -29.2822848?\nAnswer: -25.2822848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 343 + -341. Solve 26 = -n*i + 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.2, 0, -415?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10840500 at most 10840500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/16 - 1\/(-4). Let f(u) = 3*u - 3*u - 4*u - 5. Let q(x) = x + 1. Suppose 10 = -0*k + 2*k. Calculate d*f(c) + k*q(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 12:45 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/((-3)\/4). Which is the biggest value? (a) g (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-v + 2*v - 2*v) - 211*v + 71*v + 10*v + 1 + 2*v - 1 + (-2 + 4 - 1)*(-3*v - v + 5*v).\nAnswer: -129*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*o**4 - 107*o**3 - 2*o**2 + 95509*o.\nAnswer: 96*o**2 - 642*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.0334365 * 1.\nAnswer: -3.0334365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*c - 129*c + 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40701 - -71105. Is (-6)\/(-4)*m\/33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178995 divided by 11933\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/234 and -45\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 900558853 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -171*c - 32. Let u be (-3)\/7 + (6 - (-67)\/(-7)). Let l be f(u). Suppose j + 3*j - l = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 3*s + 4. Let u be (1 - -2) + -6 - -1. What is the lowest common multiple of p(u) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 7. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 64*r**2 - 30*r - 88. Let w(a) = 205*a**2 - 91*a - 264. Let m(o) = -5*w(o) + 16*x(o). Give m(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2. Let t(a) be the third derivative of -a**4\/24 + 35*a**2. What is t(i(k))?\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 0*i**3 - 3*i**3 + 165 - 1712*i**2 + 1678*i**2.\nAnswer: -7*i**3 - 34*i**2 + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232133 (base 5) in base 10?\nAnswer: 24043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26255 (base 9) in base 14?\nAnswer: 664c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133233 + 3?\nAnswer: 133241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 17 + (17 - 18). Suppose 0 = -5*w - 3*p + 18, -3*w + k = 2*w + p. Factor 1\/3*o**5 + 2\/3*o**4 + 1\/3*o**w + 0 + 0*o + 0*o**2.\nAnswer: o**3*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 3*h - 47, 3*c - 29 = 4*h. Suppose -2*v = 6 - 70. What is the remainder when v is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397 - 2509 = -84*x - 97*x + 2524 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47225705 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -5\/4 (c) 23 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/190 and -125\/22344?\nAnswer: 111720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -19.\nAnswer: -83\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a week in hours?\nAnswer: 3248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/21*-2*-3 + -4. Suppose 5*j - 10 = 5*s, -j - 2*j = -9. Let p be s - ((-87)\/(-45) + i\/10). Which is the nearest to -13? (a) -1 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 163743709 to the power of 1\/2, to the nearest integer?\nAnswer: 12796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*w + 356, -3*r + 0*w - w = -259. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -3.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -5*t**2 + 11*t - 1\/6*t**3 + 0. What is l(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0519 - 24.98253468\nAnswer: -24.93063468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 - -90 - (-17 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -72*s + 1680. Calculate k(23).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -227*k**3 - k**2 + 22*k + 53*k**3 - 8*k + 10*k**2 - 15*k in the form d*k**3 + m*k + u*k**2 + r and give d.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -937, -1\/4, -84 in descending order.\nAnswer: -1\/4, -84, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79459225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 6942?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2480, 1458, -290, -2800, -6108, -10250, -15262?\nAnswer: -21180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4984684655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-25)*w*w**(2\/13)*(w**(-3\/5))**(-16\/11) assuming w is positive.\nAnswer: w**(-16426\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58041822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1078979134 to the nearest integer?\nAnswer: 32848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -53?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -22*n + 4. Let b be ((-2)\/(-8)*-2)\/(1\/2). Let d be c(b). Suppose -j + 199 = 3*u, -4*u - 10 = 2. Calculate the greatest common factor of j and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.1 + -0.1. Let c = t - -14.261. Let v = c + -0.0502. Round v to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 10*x + 6. Suppose 2*u + 54 = -2*r, 5*r + x + 127 = -2*u. Let v = -18 - r. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6055001.\nAnswer: 6055001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 123, 289, 531, 855, 1267?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14494231 + 2*q - 1048*q**2 - 1010*q**2 - 14494230.\nAnswer: -2058*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21 + 12.04. Let f = -12 + b. Let d = f + -0.2456. What is d rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 5)\/1*-11. Let p = 193 + r. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7182 and 4104.\nAnswer: 28728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29381926939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 80 = 3*l. Let m be (30\/5)\/(50\/28 - 32\/112). What is the greatest common factor of m and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1505 + 269 + 395 - 1236 + 1820*s**3 wrt s.\nAnswer: 5460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + d**2 + 6*d**3 + 3*d**2.\nAnswer: 6*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/13 (b) 56 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133*j**2 - 1542*j**2 - 3*j**3 - 1590*j**2.\nAnswer: -3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 h when three letters picked without replacement from {y: 4, a: 3, w: 5, t: 1, e: 4, h: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/5 + 9026*m**2 + 2080306*m\/5 - 2125434\/5 = 0. Calculate m.\nAnswer: -47, 1, 22611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.761*-367.\nAnswer: 646.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 293148 and 1836.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8190648 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/8 and -77\/82.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17845*u**3 + 17000*u**3 - 11157*u**3 + 9974*u**3.\nAnswer: 33662*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 147\/4 (c) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**6*s\/(s*s**(-9)))\/(s\/(s*s**(-2\/3)*s*s))**(-33))\/((s**(-2))**37)**(-19\/7) assuming s is positive.\nAnswer: s**(-1602\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20838536 by -31912.\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 * -1.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -132. Let t = 1667 - 3187\/2. Let d = t - a. Calculate the common denominator of -77\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.4 + -127.3. Let q = 83 + p. Let r = -14 - -4. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/5 - 32*v**3\/5 - 126*v**2\/5 + 32*v\/5 + 128\/5 = 0. What is v?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97719.\nAnswer: 3, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -1571595.\nAnswer: -1571597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16032 not equal to 176365\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times -0.362?\nAnswer: 13.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3091 or -3088?\nAnswer: -3091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-3 + 4*z - 5*z + 0*z).\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 4436*g + 35420. Determine m(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 24\/32 - -20) + -20.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 96. Suppose -d = -3*h - 3*d + m, -4 = 2*d. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7469*m**3. Let y(l) = 4*l**3. Calculate -4*o(u) + 8148*y(u).\nAnswer: 2716*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2716282.\nAnswer: -271628.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-171)*((-216)\/(-18))\/(-36)*-3.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 559*v**2 + 28 - 1112*v**2 + 554*v**2 = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039363 to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-7)\/140)\/(17\/(-68)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6291095 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 40*y + 12 = 36*y, 3*k - 3 = 3*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.22 + 47.22. Let x = -37 + 36.6. What is the nearest to -1 in x, -1\/5, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14577830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 257*d - 1021 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (49 - -6) + 1 + -1 + (-3 - 5)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 588.012 + -590. Let h = -0.012 + q. Which is the second smallest value? (a) h (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*f - 25 - 15 = 0, 2*f - 5 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8*6\/(-3)*10. Let r(i) = i**2 - 6*i - 2. Let a be r(q). Let d(b) = -17*b - 23. Is d(a) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.955, 5, -3, -24, -2\/11, -0.2 in decreasing order.\nAnswer: 5, 3.955, -2\/11, -0.2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35717 (base 11) in base 12?\nAnswer: 2592b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4599244, 4599199, 4599154, 4599109, 4599064?\n\"Answer: -45*w + 4599289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16904267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*r**6 + 124*r**2 wrt r.\nAnswer: -17040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9642.\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 88*j - 15*j)*(17*j + 5*j - 5*j + (0 - 5 + 3)*(-2*j - 1 + 1) - 1 + 1 - 2*j) - 2 + 2 + j**2.\nAnswer: -2032*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 13*w. Suppose 3*u + 3 - 18 = 0, -4*i - u + 69 = w. What is the lowest common multiple of i and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 7, v: 5, i: 6}. Give prob of sequence ij.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 8184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + 4)**2 - (2*sqrt(405) + sqrt(405)).\nAnswer: -19*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 27*g**5 - 492*g**4 + 1755*g**3 - 2310*g**2 + 1188*g - 168 = 0.\nAnswer: 2\/9, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from bmgimggmggmimdmdmmb?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - 6)\/(-7))\/((-12791)\/2). Let d be (-2 - -1) + 1880325\/306984. Let x = k + d. Calculate the common denominator of -79\/4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(6*sqrt(539)) - (-4*sqrt(104)*2)\/sqrt(8).\nAnswer: 337*sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 13. Calculate the remainder when 196 is divided by r(31).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 49. Let i be 2*(f + (76\/12 - 3)). Factor 5\/3*y - i*y**2 - 2\/3.\nAnswer: -(y - 2)*(2*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86128?\nAnswer: 2, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**3 - 2*f**2 + 1. Let a(n) = -n**2 - 9*n - 9. Let t be a(-1). Let l be w(t). Solve -11 = -l*y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(1\/6)*q)\/(q\/(q*q\/((q*q**(2\/3))\/q)*q)*q)*(q**(1\/5))**43 assuming q is positive.\nAnswer: q**(383\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/98)\/((-6)\/(-21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604 + -591 + (1 - -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 61586.9393583 and -6.4.\nAnswer: 61580.5393583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7983.904 hours?\nAnswer: 28742054400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c - -a33?\nAnswer: aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 48. Let p be l\/(-68) + 62\/8. Suppose p = -3*b + 5*b. Solve -n + b = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90571115 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-15)\/5*(-10)\/10*4). Let t(f) be the second derivative of 2\/3*f**3 + b*f**4 + f**2 + 0 - 14*f. Suppose t(m) = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4216*d**2 - 11031 wrt d?\nAnswer: 8432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 35*q - 158. Give m(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcwqwcwwzqcwcczcwcww. What is prob of sequence www?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 1 - 5. What is the third derivative of -441 - 7*t**y - 24*t**4 - 2*t**3 - 12*t**4 + 443 wrt t?\nAnswer: -864*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 8260?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 - 6*k + 1. Let o be i(-5). Let n be ((-36)\/(-14))\/(o\/28). Let t = n + -71\/6. Is 0 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62860 = 4*y + 4*w, 3*y + 3*w + 47155 = 2*w. Round y to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 - 555 = -124*x - 37 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4 + 6456*b**3 + 585648*b**2 + 12773320*b - 43765428 = 0.\nAnswer: -1519, -49, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5\/4 - 2235*y**4\/2 + 1678437*y**3\/4 - 4979571*y**2\/2 + 4548831*y - 2477538 = 0. Calculate y.\nAnswer: 1, 2, 3, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -166372\nAnswer: 16637.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*i)*(-2 - 2 + 2) - 3*i + 0*i + i + 1066*i - 593*i + 29 - 192*i as b*i + m and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + (-23 - -13) + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u\/u**(-2)))**(26\/3)\/((u*u**(-4))\/u*u**(1\/3))**40 assuming u is positive.\nAnswer: u**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*d + d + 146 = 0, -5*c - 177 = d. Let w be 1\/(-5) - 7\/c. Sort 5, -1, w in ascending order.\nAnswer: -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 58?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3710 + 43098 + 4*r - 2*r.\nAnswer: 2*r + 46808","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16457 = -5*q + 2*h, -q - 4*h + 1015 = -2294. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**4 + 1420*u**3 + 130888*u**2 + 861648*u + 1211040 = 0.\nAnswer: -174, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2915, 5830, 8743, 11654, 14563, 17470?\n\"Answer: -k**2 + 2918*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6631 + -0.21.\nAnswer: 3.4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:16 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(76) + -2*sqrt(76)))\/(2*sqrt(4)*-3))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*r - 505*r = 286. Let m = 155 + r. Solve -3*j = 4*v - 5, 0 = 2*v - 2*j + m - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*r - 108*r - 86. Let y(n) be the second derivative of n**5\/10 - n**4\/4 - n**3\/6 + n**2\/2 + 12*n. Determine y(r).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)*(-2 + 0 - -3). Let q = 2 + d. Let a = 709\/18 - 77\/2. Which is bigger: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-8)\/(-6) - 36\/27. Let x(b) be the second derivative of u*b**3 + 5*b + 1\/3*b**4 + 0*b**2 + 0. Let j(r) = -r**2. What is j(x(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 7*r = 12*r + 40443, -3*r + 50526 = 5*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + (-5 - (11 + -4 - 14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2585*f**3 - 47*f - 4. Let z(d) = 5171*d**3 - 84*d - 9. Let h(g) = -9*w(g) + 4*z(g). Let q(n) = 60*n**3 - 2*n. Give -2*h(s) - 87*q(s).\nAnswer: -58*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2858, 5699, 8540, 11381?\nAnswer: 14222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3100 - 2103043?\nAnswer: -2111143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*j + 13, -5*n + 2*j = -2*j + 79. Let o be (-4 + -1)*(-12)\/n. Let h be 0 + o + 1 - -2. Put h, -4, -5 in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.134206 to 3 decimal places.\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000960871 to six decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g + 5*r - 11, 3*r - 27 = 4*g. Let j be (6\/4)\/(g\/4). Let h(i) = i**3 + 2*i**2 + 2*i - 2. Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-10)*7\/140?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f + 29*f - 145 = 11*f + 2983 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**2 - 23*v + 4. Calculate w(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q + 20. Let t(x) = x + 4. Let m be t(-4). Is g(m) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31661*g + 63452*g - 31669*g = 12688 for g.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7296*n**3 - 7302*n**3 + 14574*n**3.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 71109.29?\nAnswer: -71114.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23205\/(-170)*-34*12\/(-714)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 157848.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 3668160*w + 1121283148800.\nAnswer: 3*(w - 611360)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from {m: 1, w: 3, b: 3, e: 1, c: 5, x: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3 - 5. Suppose l + 3*l = 2*g + 14, 5*l = d*g + 19. What is the first derivative of 5*x**4 + 5 + 7*x**g - 7*x**3 wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23353 - 23353.1. Let s = -0.6 + 1. Which is the closest to o? (a) 1\/2 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 145119.4 and -185.9.\nAnswer: 144933.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7392 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401036 (base 9) to base 7.\nAnswer: -2004561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 1\/60*y**5 + 0 - 1\/6*y**4 - 2*y**2 + 0*y - 7\/6*y**3. Is m(6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, z: 3, n: 1}. Give prob of sequence zz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -19, 100, 5 in increasing order.\nAnswer: -19, -9, -5, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4041)\/2245*(-10)\/6)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4435875 divided by -11829\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-44)\/99?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*i = -46, -2*i + 28 = 213*v - 207*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 12*c - 18 = 3*l, 9 = -3*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 273, 749, 1675, 3201?\nAnswer: 5477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35772 and 132?\nAnswer: 35772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*t = -16, 3*f + 11 = -0*t + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 571 divided by 194\nAnswer: 571\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15156046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:43 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*(-5 + 4 + 1 + sqrt(175)*-2) + -3)*-6 + -1).\nAnswer: -51 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 != -68157\/341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/(p**(-6\/7)*p)*(p*(p*p**0)\/p)**5)\/(p\/p**6*p**(-4\/5))**(1\/63) assuming p is positive.\nAnswer: p**(1559\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87206297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -723806513 rounded to the nearest one hundred thousand?\nAnswer: -723800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 950 and 160835?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.556357 milligrams to tonnes.\nAnswer: 0.000000006556357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5275.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/(-13))\/(448\/(-48))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1))\/(-2)*2. Let p = -3.93 - 0.07. Let f = 7.1 - 7. Which is the closest to f? (a) p (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -93, 751, 2163, 4143, 6691?\n\"Answer: 284*n**2 - 8*n - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbq when four letters picked without replacement from bqqbmbqqmmm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -3 + (2 - 2). Suppose 0*x = -2*x - c. Is x > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/3, -0.4, -2\/9, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 30. What is a(32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6854.584mm in kilometers?\nAnswer: 0.006854584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3858.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 20 = -4*i - 2*c, 0 = 3*i - 3*c + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 23977335.\nAnswer: 1\/23977335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 z when four letters picked without replacement from {z: 3, h: 1, a: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(s**2 + 1 - 1) + (s - s + 2*s)*(-5 + 3 + 7)*(-2*s - 4*s + 4*s).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2 - sqrt(76))*5 - (sqrt(76)*-1*3 + sqrt(76)))\/(sqrt(484) + sqrt(484)*-2 - 2*sqrt(4)*-5).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 161 = 4*v. Suppose h + 4*d + 6 = 0, -4*h + 2*d = -0*d - 30. What is the remainder when v is divided by h\/(-4)*(-80)\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13172 - -13250. What is the remainder when 193 is divided by u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -391, -552, -675, -748?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = 2*u + 9, 11 = 2*r - 5*u. Let t = -8 - r. Let y(k) = -2*k + 3. Is y(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -31\/588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 925*c**3 + 18*c**2*q**2 + 1593*c*q**2 - 2*c + 2*q**2 wrt c?\nAnswer: 5550*c + 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/50833184 and -33\/20?\nAnswer: 254165920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -171702\nAnswer: -1\/171702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1134567972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44183 and 85?\nAnswer: 220915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {q: 4, z: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-5859))\/((-1)\/18)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 208636.6l in millilitres?\nAnswer: 208636600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 1b98a?\nAnswer: 1b975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 + 886 = 156*b - 1897 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 261 + -105. Let x be o\/(-7) + (-6)\/(-21). Let l = x + 36. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 - i**2 - i + 2. Let z be k(1). Let w be -9 - 5*36\/(-20). Put w, -2, z, 4 in descending order.\nAnswer: 4, w, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/32)\/3 - (-11)\/((-2156)\/(-175)). What is the second smallest value in 1\/4, c, -8, -232, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 996 + 1395. Let p(x) = b*x - 1 - 2392*x - 1. Let l(t) = 2*t + 2. What is -3*l(o) - 4*p(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86748, 86781, 86814, 86847, 86880, 86913?\nAnswer: 86946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 72 = -0*i - 3*i, 53 = -2*c - 3*i. Let j be 178\/10 - 5\/c. Let a be j\/(-2)*(5 - 10). Calculate the greatest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-5\/3)*b*b))**(-34)*(b*b**19)\/b*b\/(b**(2\/81)*b*b) assuming b is positive.\nAnswer: b**(2374\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1) + (-201110)\/(-59927). Let z = j - -3\/2446. What is the common denominator of 6\/7*119\/16 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**3 + s**2 + 6*s - 15. Let f(p) = p**3 - 2*p**3 - 27602*p + 27603*p. What is -6*f(u) + n(u)?\nAnswer: -u**3 + u**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7434 + -7426. Let v(s) = -60*s + 489. What is v(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8, -3*i - 2*i - 3*k = -36. What is the highest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1344) - (sqrt(1344) + 2*sqrt(1344))) + sqrt(1344)) - (-1*sqrt(1344)*6 + sqrt(1344)))\/((sqrt(56) - sqrt(2016))\/sqrt(8) + 2*sqrt(7)*-5).\nAnswer: -24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2081766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from kuuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83574 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 11458812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((4*(2*sqrt(300) - sqrt(300)) - (sqrt(300) + 1)*-6) + 1))**2.\nAnswer: 22400*sqrt(3) + 480784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/10)\/r**(-7)*(r**(-1))**(-6) assuming r is positive.\nAnswer: r**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {o: 3, z: 1, g: 1, f: 3, m: 8, r: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 - -650133?\nAnswer: 650186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 759.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = p + 29, 390*u = -54*u + p - 1156 - 575 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 - 1. Let f(b) = -14190*b**3 - 51084*b**2 - 17028. Calculate f(x) - 17028*o(x).\nAnswer: 2838*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 2\/3, -9.7, 30.8, 7?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 733*a + 19. Give q(-1).\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + f. Let t = -10 + 18. Suppose -t + 4 = -2*u. Let a be z(u). What is the highest common factor of a and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -5 - -2 - 1) + -2. Let u(n) = -n**2 - 2*n + 3. What is u(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31524*t**5 + 2*t**4 - 104 + 26*t**6 - t**2 + 31524*t**5 wrt t.\nAnswer: 3120*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + 9 + -1 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - m - 8 = 0, -7*p + 2*m + 21 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6790 - 2916. List the prime factors of y.\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15 + 5 + 185*s**2 + 5 - 9*s + 131*s**2 - 17 wrt s?\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d7ab + -893?\nAnswer: -5e03e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l*l*l**(-16))\/((l\/l**(-1\/5))\/(l*l**(2\/3)*l)) assuming l is positive.\nAnswer: l**(-293\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let g(k) = -4*k. Calculate 30*d(b) - 5*g(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(36)\/sqrt(4))*-4 + 1.\nAnswer: -4*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:18 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3922807\/72 + -54484. What is the common denominator of (-291)\/264 + (-1 - -1) and a?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437254.\nAnswer: 2, 218627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2*k**5\/5 + 3*k**2\/2 + 7. What is the second derivative of h(x) wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -1 (b) -5 (c) 4 (d) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, -2\/7, -1.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.238 + -21736035442.\nAnswer: -21736035442.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44851846 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42772 - 96.181.\nAnswer: 42675.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -7\/4 (b) -0.2 (c) -0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4\/5 - 4812*a**3\/5 - 114216*a**2 - 18162688*a\/5 - 17596416\/5 = 0 for a.\nAnswer: -1074, -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342458766 to the nearest integer?\nAnswer: 18506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.783 rounded to 2 dps?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 - 68 - 13*v)*(7 - 7 - 2)*(82*v - 25*v**2 - 82*v) in the form x*v**2 + c*v + b*v**3 + m and give b.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 67*c + 71*c + 15, 3*a = -c - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4.3. Let g = d - 0. Let t = -26 + 27. Which is the second smallest value? (a) t (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x - 1. Let q(p) = 7*p**2 + 78*p + 1. What is -q(s) - 2*w(s)?\nAnswer: -5*s**2 - 76*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 659526.\nAnswer: -17\/659526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160633?\nAnswer: 11, 17, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203330103 + 0?\nAnswer: 203330103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4668178, -9336312, -14004446?\nAnswer: -18672580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 + 88. Let m = -123 + t. Suppose -v - 5*f = -m, v + 5*f - 218 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1525, -3056, -4587, -6118?\nAnswer: -7649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-31)*(b**(1\/3)*b*b)**39 assuming b is positive.\nAnswer: b**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 572, 1085, 1870, 3017, 4616?\nAnswer: 6757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173 and 86846.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 + 962 - 233 - 234 - 27 - 228 - 3*z.\nAnswer: -3*z + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -30 - ((-11 - -39) + -16)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*h = 9 + 13, 2 = q + h. Let v be (-24)\/(-35) - 2\/5. Let j = -0.3 - -0.2. Which is the closest to -0.1? (a) v (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 103. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(539) + 1 - (sqrt(110) + sqrt(110) + sqrt(110)*3)\/sqrt(10)) + -2*(sqrt(44) - 1*sqrt(44)) + (sqrt(88)\/sqrt(32))**2 + sqrt(44)).\nAnswer: 75\/4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l + 1. Let y(j) = -4375*j - 175. Determine y(b) + 175*z(b).\nAnswer: -5075*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 970, 3941, 10100, 20437, 35942?\nAnswer: 57605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5589 + -1324. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -695 + -1?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 12) to base 8\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1854964658976\/47 + 118410685711\/3. Let s = x + -8657728\/3. Let q = s + -9492. What is the common denominator of q and 17\/10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/29916)\/(884\/2634527226). Let b = i - -332941\/1108. Let s = b + -2\/663. Calculate the common denominator of s and -3\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.3. Let m be (-4 - -4)\/((-8)\/(-4)). Which is the closest to m? (a) s (b) 4\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)\/(2\/40). Suppose 9 = 3*k + 3*n, -n + c = -5*k + n. Does 7 divide (-20)\/k - (2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -60 - (3 + (-4 - 4)) - (3 + 1)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 39422 + 6838*c + 49782 + 3527*c.\nAnswer: 5*(c + 1)*(c + 2072)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 16 = 0, 3*h - 2*h - 2*f - 18 = 0. Suppose 0 = -5*l + 10*l - h. Suppose -l*g - 5*g = -14. Solve -2*u = g*d - 3*u + 7, -d - 2*u = -9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480664642 is divided by 3683.\nAnswer: 3678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121458979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2599727 greater than -2599728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 30*r**4 - 25*r**3 - 125*r**2 + 100*r + 20 = 0.\nAnswer: -2, -1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y*y*y*(((y\/(y\/(y**0*y*y)))\/y)\/y)\/y*y\/(y**10\/y)*y**(-2\/13) assuming y is positive.\nAnswer: y**(-41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -347564 - -290911019\/837. Calculate the common denominator of t and 20\/2697.\nAnswer: 24273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 + 89 = -23*h. What is the remainder when h is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 2700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - 24674623?\nAnswer: -24674573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 29 - 3)*(10*r - 8 + 8).\nAnswer: 300*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -33. Let t = -0.4 - -0.4502. Let g = 4.9498 + t. Which is the third biggest value? (a) 3 (b) n (c) g (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r + 3*r**2 + 0*r**3 + 1\/24*r**4 + 0. Let z(k) = k. Let h(n) = -6*i(n) + 3*z(n). Give h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s + 0*s)*((-2 + 0 + 3)*(0*s**2 + s**2 + s**2) - 5*s**2 + 7*s**2 + 12*s**2 + s**2 + 5 - 5 - 2*s**2 - s**2 + 2*s**2).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 25*q**2 + q - 7. Let z be l(25). Solve 2*r + 6*b = b + z, 10 = 5*r - 5*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z + 16. Suppose 4*j - 5*c = 2 + z, -4 = -5*j + 2*c. Sort 3, j, 2 in decreasing order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + 3. Let s(i) = 4*i**2 + 4. Let n(m) = 5*l(m) - 4*s(m). Let j(a) = a**3 + 3*a - 1. Let v(o) = j(o) + 3*n(o). What is the units digit of v(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97.51897 litres?\nAnswer: 97518.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -745 divided by 149\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 0*v + 0 + 21\/8*v**3 - 81\/8*v**4 + 15\/8*v**5 + 45\/8*v**2 = 0.\nAnswer: -3\/5, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137927790.\nAnswer: 2, 3, 5, 7, 11, 13, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = -3*p, 181*p - 10 = 179*p. Let i be 41\/8 + o\/8. Solve -i*h = 1 - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -166*t**2. Let y(q) = 40*q**2 - 17*q + 17. Let g(c) = 7*c**2 - 3*c + 3. Let n(j) = -34*g(j) + 6*y(j). Give n(o(w)).\nAnswer: 55112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/8 - 16\/(-64). Let z be (-16)\/4 + 14 + -1. Let i = z - 5. Solve -m - i*u = 7, p*u = 4*m - 2*u - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386392 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14214000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1275 and 1350.\nAnswer: 22950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.416185 to one decimal place.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 4, x: 6, m: 3, c: 3, v: 1, b: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2. Let u(l) be the second derivative of l**3 - 14*l. Calculate r(u(i)).\nAnswer: -216*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448970 and 340.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*s**4 + 23*s**4 + 33*s**4 + (0*s**2 + 2*s**4 + 0*s**2)*(0 - 3 + 2 + 1 + 2 - 2 + 1 - 1 + 2 + (-2 + 3 - 2)*(0 + 0 - 1) - 3 - 4 + 3).\nAnswer: -15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 79769488*z + 23 + 79769489*z.\nAnswer: z + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138986 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16919264.\nAnswer: 2, 113, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108) - (-3*sqrt(192))**2) + 2.\nAnswer: -1726 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from ciootcit?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7617 (b) -4 (c) -109\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -104. Let h = 17 + -14. What is the tens digit of 2*(h + o\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 11*v**2 - 24*v + 3. Suppose 0 = 2*q + 2*h + 6, -2*q - 26 = -2*h. Let t be r(q). Suppose -g + 1 = 0, -2*g = t*d + 9 - 68. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41734308 is divided by 112189.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 290477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3*t**2 + 3*t. Let o = -1 + 4. Let s(n) = -5*n + 5*n**2 - n**3 - 3 + 3. Suppose 5*d + 25 = 2*g, 9 = -3*d - 0. What is g*l(p) + o*s(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 209*g**2 - 366*g**2 - 1 + 217*g**2 + (-1 - 4 + 3)*(-3*g**2 + g**2 + 3*g**2) + 0*g**2 + 0*g**2 - 6*g**2 as k + t*g + y*g**2 and give y.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177\/56404*((-10)\/30)\/((-1)\/8)?\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r. Let k = 5 - r. Solve -3*c = -0*g - 4*g + 13, k*c = -2*g - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jljlljljljlll.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -60. Suppose -3*n + 2*g + 1 = -0*n, -f*n + 4 = -g. Let p(m) = 14*m. What is p(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 23 = 5*i + 5, -5*i + 5*q = 0. Let v be i\/7 + 52\/14. Factor -z + 3*z - 3*z**4 - 2*z**3 - z**4 + v*z**2.\nAnswer: -2*z*(z - 1)*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 12:19 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1584) + 0 + -3 + -4 + -5*sqrt(396)*-1)*-3)**2.\nAnswer: -6804*sqrt(11) + 175365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/9 + 43948*s\/9 + 27122976 = 0. Calculate s.\nAnswer: -4594, 26568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58255 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {l: 2, y: 10, s: 6}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/7 + 43920*c\/7 + 131778\/7 = 0.\nAnswer: -3, 21963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**2*l*p**2 + g**2*l*p - 15*g**2*p + 2*g*p + 14*l*p**3 + l*p - 17*l - 10*p**3 - 2*p**2 wrt p?\nAnswer: -12*g**2*l + 84*l*p - 60*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 3*p**3 - 6*p + 6*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13222*l**3 - 70*l**2 - 2*l + 12. Let s(n) = 26443*n**3 - 131*n**2 - 4*n + 18. Let i(y) = 5*o(y) - 3*s(y). What is the third derivative of i(f) wrt f?\nAnswer: -79314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 33*m**3 - 4*m**2 + 5*m - 2. Let k be o(2). Suppose 0 = 3*w - r - k, -5*w - 7*r + 400 = -2*r. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.629975 minutes in milliseconds?\nAnswer: 577798.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 422.\nAnswer: -25.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14.914+0.4\nAnswer: -14.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/6 of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - -19) + (-1 - 4). Which is bigger: 96\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 226642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.86 to 1 dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3963.404l?\nAnswer: 3963404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let h(n) = 30*n**2 - 24*n + 24. Let a be 54\/4*-2 - -3. Let s(p) = -6*p**2 + 5*p - 5. Let b(u) = a*s(u) - 5*h(u). Give l(b(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvggwggggvgggvg. Give prob of picking 2 g and 1 w.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 68 = -34*q - 5*g, 0 = -5*q - g - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3041935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 50\/2846917 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -54819560 divided by -4\nAnswer: 13704890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/90 and -41\/14106?\nAnswer: 211590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 + 3862*z**4 - 2*z**3 + 7*z**2 + 3433*z.\nAnswer: 60*z**2 + 92688*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 - (5 + -13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*u = -101*u - 43*u + 588. Solve -474*p = -486*p + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwow when four letters picked without replacement from {q: 6, w: 5, j: 6, o: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (-1978)\/(-9) + 14\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76696 (base 10) in base 15?\nAnswer: -17ad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 435.8 rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(132))\/sqrt(12).\nAnswer: -2*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 28*t - 21. Let a(p) = 25*p - 13. Determine 3*a(b) - 2*m(b).\nAnswer: 19*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 8*f + 36. Suppose 0*s + 3*s - 12 = 0. Suppose -y - s = 0, 3*y + y + 160 = 2*c. Calculate the highest common factor of f and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3864721129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 13*c**4 - 8*c**4 + 12*c**3 + 25*c**3 + 18*c**4 + 2*c**2 - 13*c**4 as g*c**2 + w + z*c + q*c**3 + h*c**4 and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*b + 9 - 9.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -9628810 = -9628812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65800 by -235.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -8220?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -524 + 520.49. Let x = n + 6.51. What is the closest to -2\/9 in x, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - -2) + -34 + 27.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 5, -3\/5, -2 in descending order.\nAnswer: 5, 1\/6, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146402, -5, -2185, 4 in ascending order.\nAnswer: -146402, -2185, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010110 + -1110?\nAnswer: -100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18804 - (-5 - -9)) + 0 + 1.\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12400 + 12398. Which is the third biggest value? (a) -9 (b) p (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*h + 53, 5*h - 21 - 7 = 6*g + 51 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.248 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26233401 and -1?\nAnswer: 26233402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiaiiaiiiiiqa. Give prob of picking 1 i and 1 a.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 7*q - 83. Determine h(-21).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052462958 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2319346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 4 = 17*c - 44 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q + 0*q - 2 + q. List the prime factors of v(4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4*h**5\/5 - h**4\/2 + 5*h**2\/2 - 1. Let k(g) = -g**3. Let s(z) = -2*j(z) + 4*k(z). Find the second derivative of s(i) wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 36*v**2 - 62*v + 32. Let c(u) = -4*u**3 + 73*u**2 - 124*u + 65. Let r(w) = 2*c(w) - 5*t(w). Find b, given that r(b) = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x - 4. Let r = -1.685 + -1.315. What is the second biggest value in -9, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70921 - 71080.908. Let y = n - -160. What is y rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 5*2\/(-8)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1234*z**4 - 7*z**3 - 14*z + 1292. Let c(k) = 1234*k**4 + 6*k**3 + 12*k - 1291. Let o(w) = 7*c(w) + 6*g(w). Differentiate o(x) with respect to x.\nAnswer: 4936*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -54145 * -0.5\nAnswer: 27072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 7. Give c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:11 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54999, -109935, -164835, -219699?\n\"Answer: 18*f**2 - 54990*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -17*b**2. Let t(p) be the first derivative of -5*p**4\/24 + 14*p**2 - 27. Let w(s) be the second derivative of t(s). What is w(o(g))?\nAnswer: 85*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15914.\nAnswer: 2, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 + 500690*t**2 + 16515685*t - 164172200 = 0. Calculate t.\nAnswer: -100105, -41, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/60 - 5*t**4\/6 - 13*t**3\/6 + 29*t**2 - t. Is 2 a factor of w(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/4 + 2*k**3 - k**2 - 2*k - 2. Calculate the remainder when x(5) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - t = -0*t - 4*t - 8, 32*t = 41*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 804, 1206, 1608, 2010?\nAnswer: 2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1321666 to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2091 - -2094.709. What is m rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/9))**(36\/5)\/(((q**(-2\/27)*q)\/q)\/(q**(-2)*q)) assuming q is positive.\nAnswer: q**(631\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*b - 58 = 0, 2*x + b + 0*b = 46. Let c = 15 - x. Let h = c + 13. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**8\/84 - 2*j**7\/105 + j**6\/15 + 2*j**5\/15 - j**4\/6 - 2*j**3\/3 - 16*j**2. Factor n(d).\nAnswer: -4*(d - 1)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16) + 3\/(-8)*-2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 349608*m + 1398368.\nAnswer: 4*(m - 87398)*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y - 5. Let m(d) be the second derivative of -d**5\/20 - d**4\/2 - d**3\/3 + 5*d**2\/2 - 27*d. What is m(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x + 4*x + 4*x)*(-2*x**2 + 9*x - 2 + 21*x + 1).\nAnswer: 22*x**3 - 330*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 11. Let m(y) = 6*y**2 + y + 1. Determine m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Suppose -5*r - 4*n - 192 + 187 = 0, -4*r - 5*n - 13 = 0. Sort x, -13, 4, r in descending order.\nAnswer: x, 4, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 + 24*b**2 + 75*b**2 - 2*b - 12*b**2.\nAnswer: 102*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -953 * -0.0451\nAnswer: 42.9803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 9*c**2 - c + 13. Suppose -12 + 3 = -n. Let r be g(n). Is r + -3 + -2 + 54 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (0 - -7) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by -23.\nAnswer: -313\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Let o(z) = -3*z**3 - 2*z + 4*z**2 - 4 + t*z**2 + 4*z**3. Is o(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -50*g + 20. Let l be a(0). Calculate the highest common divisor of l and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48 from 267.389.\nAnswer: 219.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/9))**33\/(k**3*k\/(k*k**7))*(k*k\/(k**(1\/2)*k*k))**31\/(k**(1\/3))**(-3\/20) assuming k is positive.\nAnswer: k**(853\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(1 - 2*d**4 - 1) + 2*d**4 + 2*d**4 + 0*d**4 - 2*d**3 + 2*d**4 + 2*d**3 + 2*d**4 + 3*d - 3*d + (2*d**3 - 2*d**3 + d**3)*(2*d + d - 4*d).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -1356, -3493, -6476?\nAnswer: -10305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(75)*3)**2 + sqrt(75) + 3 + -3*(sqrt(3) - sqrt(12))*-6)*1.\nAnswer: -13*sqrt(3) + 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420450086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 389*b + 724. Calculate v(-4).\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + 0*g**2 + 4*g**2)*(-g - g + g) - g**3 + 5*g**3 + 0*g**3 + g**2 - g**2 - 2*g**3 - 3*g**3 + 0*g**3 + 5*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.4, 1031\/2, 0.2, -2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -545021.8549379 + 544989.735. Let r = b - -39.31993698. Let o = r + -7.2. What is o rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5510*h**2*r**2 - 490081428*h**2*r - h*r**2 - 24747*r**2 wrt r?\nAnswer: -11020*h**2 - 2*h - 49494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 14\/((-112)\/12) - -6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 6*h**2 + 6*h + 6. Let t be y(7). Let m = 1 - t. Let j = 5 + -10. Sort j, -4, m in decreasing order.\nAnswer: m, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/42*((-1)\/12)\/(8\/(-72)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6110 and 3155580?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731*2.73.\nAnswer: 1995.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(4\/(-2))\/(6\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189*-0.3.\nAnswer: 56.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1526209 divided by 537.\nAnswer: 1526209\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*i - 33 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31051510 is divided by 1633.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + j)*(0*j + j + 2*j)*(-j + 2*j + j) + 2*j**3 + 0*j**3 + 0*j**3 - 2736*j + 58*j**3 + 2736*j to o*j**3 + n*j**2 + s + t*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 3 - c - 5. Let q = -68 + 70. Let n = 7 - q. Determine h(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7701625 millennia to decades.\nAnswer: 77.01625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -371c00 + -1?\nAnswer: -371c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8882657 and 24409?\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -534.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -456208?\nAnswer: -456208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -1\/3 (b) 2\/5 (c) -285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.5 (c) 423 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -307320 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021788205 to 7 dps.\nAnswer: 0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 0.1, -1, 14529 in decreasing order.\nAnswer: 14529, 13, 0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.5 + 43. What is the third biggest value in 2\/7, u, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -408 * -0.5.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m + 13. Let x be v(1). Let r(a) = -2*a**2 - a - 3. Let s be r(0). Calculate the common denominator of (-5)\/60*-242*x\/s and 16\/51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087513 is divided by 155354?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 296336 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11684601 by 22777.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.6676022\nAnswer: 0.020028066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(1\/3)\/(j\/(j*j*j**2*j))**32*(j**(1\/4)\/j)**(-29)*(j**(2\/31)*j)\/j**(-7) assuming j is positive.\nAnswer: j**(175873\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10544801\/1120 - 9415. Let o = p + 3709\/1120. Find the common denominator of o and 59\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:11 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/30)\/((-21)\/70*-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**0\/n*n)**(7\/4))**(2\/7))**(-6\/7) assuming n is positive.\nAnswer: n**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a3 (base 16) to base 13.\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16))\/(-3*6\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005728.\nAnswer: 2, 3, 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 6) to base 4.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.0284 to 1 decimal place.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6552011*n**3 + 19*n**2 + 2*n + 10335 wrt n?\nAnswer: 39312066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 164 + 158 = 0. Let b(o) = 6*o - 17. What is b(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0482 in -0.225282, -3\/2, 2\/3?\nAnswer: -0.225282","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66492580.\nAnswer: 2, 5, 7, 11, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 7 = 3*h - 0, 13 = -o - 3*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millimeter in micrometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 298368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(-1 + 0 + 2) - 19 + 20 - 57)*(-o - 73*o + 260*o).\nAnswer: -10230*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3757 divided by 46\nAnswer: 3757\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*m - 9*h*v**2 - 365*m*v**3 - 15*v**3 with respect to m.\nAnswer: 2*h - 365*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -28*(-3)\/(12\/(-14)). Suppose -1440 = 152*j - 285*j + 149*j. Let c = j - d. What is the least common multiple of 9 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -109, -107, -109, -115, -125?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1600 * -13.\nAnswer: -20800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 36. Let b be 2\/6 + 9\/p. Let h = -13\/12 + b. Is h smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 1030 = -7*p. Suppose 0 = 4*k - 2*k - p. List the prime factors of k.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.286539416 to two dps.\nAnswer: 17.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 - 12*g + 11. What is the tens digit of m(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {k: 8, u: 1, x: 11}?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0*h - 1\/420*h**6 + 0*h**3 - h**2 + 0*h**4 - 1\/735*h**7 + 0 + 0*h**5. Factor m(g).\nAnswer: -2*g**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 1:31 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:40 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -161*r. Let p(h) = -2*h. Determine d(p(v)).\nAnswer: 322*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (86\/6)\/((-1)\/3). Let t = m + 82. Let v be (-2)\/5 + t\/(-15). Which is the third smallest value? (a) -0.3 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**5\/60 - 3*i**4\/8 + i**3 + 101*i**2\/2 - 100. Let p(j) be the second derivative of l(j). Give p(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(((-12)\/8)\/1). Let b be 22\/z*8701*-39. Let x = b - -6344243. Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.236589 millennia?\nAnswer: 72.36589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = v - 2*v - 3*h, 4*v + h = 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 74577383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29414648?\nAnswer: 2, 3676831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((5\/(-70))\/((-24)\/672)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.695401 != 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00266503 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7799 = -50*i + 35001. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 3*c**5\/20 + 3*c**4\/4 + c**3 + 13*c + 1. Suppose a(r) = 0. Calculate r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 250.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 32*b = -8. Suppose b*y = 5*t + 406520, -2*t - 119937 - 42638 = 5*y. What is t rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214629525 - 5?\nAnswer: 1214629520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l + 5 = 0. Suppose 146*o = -5*t + 150*o + 20, -2*t - 5 = o. Solve 9 = -4*i - x, i - l*x + t*x + 18 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g - 3*z + 21, 0 = g + 2*z - 3. Let r be ((-10)\/8)\/((-2)\/16). What are the prime factors of -3*r\/9*g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 170877861 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - u + 6*u. Let l be v(-2). Suppose 7*b - 205 = l*b. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.41 + -0.41. What is q rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t**(-1)\/t)*t)**(-39)*(t**(1\/3)\/t)**(-16\/3) assuming t is positive.\nAnswer: t**(-2074\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1913*y + 68. Let c(z) = -956*z - 39. Give -7*c(i) - 4*w(i).\nAnswer: -960*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:53 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18, 75, 2.07?\nAnswer: 2.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 245 + -125. Suppose -19*y + 9*y = u. Let n be y\/(-10)*(-80)\/24. Let o(p) = p**3 + 4*p**2 - 2*p - 2. Give o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612174321 to the power of 1\/2, to the nearest integer?\nAnswer: 60101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -41a?\nAnswer: 41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z = -130342 + 2058. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-10))\/(k*k**7))\/((k\/k**(-2\/3))\/k)**(-21) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -1 + 3 + 2 + -1 and (-15 - -13)*4 + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.069 - -3.069. Which is the third smallest value? (a) 0 (b) j (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -188 in 4, 3\/23, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*f**2 - 3 + 1 - 5*f + 31*f + 0 + 61*f wrt f.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 10*h + 3. Let b be v(4). Let s(o) = -119*o + 29. Let p be s(b). Suppose 6*g = 10*g - p. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1184361 * 0.1\nAnswer: 118436.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58532 + -117065\/2. Let z = -831 - -50692\/61. Which is the second biggest value? (a) z (b) 2 (c) 1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(1008) + sqrt(1008))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -81076.08 * 0.1\nAnswer: -8107.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-223*b**2 + 612*b**2 - 229*b**2 + 1)*(-6*b**2 + 0*b**2 - 3*b**2) as a*b**2 + l*b**4 + u + i*b + q*b**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2 = 0, -5*y = -2*o + 4 + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/3))**11\/((((w*w*w*w\/w**(3\/7))\/w)\/w)\/(((w\/(w*(w*w**(1\/9))\/w))\/w)\/w)))**(-6\/23))**(-48) assuming w is positive.\nAnswer: w**(-32\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a - 10. Let u(r) = -7*r - 4. What is the remainder when p(4) is divided by u(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-7 - 1) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:16 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1121 = -4*y - 182, 0 = 5*f + 2*y - 2163. Let a = -292 + f. What are the prime factors of a?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 253.2 * 4.\nAnswer: 1012.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 92*v**2 + 3*v**3 - 28*v**2 - 9*v**2 + (-5 + v + 5)*(v**2 + 3*v**2 - 6*v**2).\nAnswer: v**3 + 55*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100\/3 + 20*c + 3*c**2.\nAnswer: (3*c + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64513 + 2?\nAnswer: -64511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32234054 (base 6) in base 2?\nAnswer: -11101000110001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -701150.426 rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3418509139806.03 + 4.\nAnswer: -3418509139802.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 28 (b) -2\/9 (c) 7 (d) -2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -700469\/8 - -87408. Let v = -150 - q. What is the nearest to 1 in 3\/4, -2\/11, v?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 452 and 4?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 262?\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 65780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8684 - 1.0484. What is the closest to 0.3 in 2\/5, f, 0.05?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999746?\nAnswer: 2, 3, 7, 59, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - ((-286 - 7) + -1). Let g be 4 + 9\/((-54)\/m). What is the biggest value in 5, g, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 + -102. Let c(u) = 3*u**3 - u**2 - 6*u + 12. What is the remainder when c(y) is divided by (-6)\/21 - (-153)\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6993*r + 504 - 265 - 239 to the form x + y*r and give y.\nAnswer: -6993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3771\/(-4190)*(-50)\/36?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 142*s**3 - 2*s**2 + s + 1. Let i be q(1). Suppose -26 = 3*x + i. Let l be (-68)\/(-6) - x\/84. Solve 3*v - l + 0 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 101 (b) -2 (c) -1\/455 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 3*m - 11. List the prime factors of r(6).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.5, -2\/11, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -98. Suppose x = 3*q - 14*q + 209. What is the remainder when 112 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227721767 divided by 637.\nAnswer: -357491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:57 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + 109. Suppose -2*m + 69 = -y*b - 102, -5*b - 425 = -5*m. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 35. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32759 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 43*k**2 + 82*k - 292. What is h(-45)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28293193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 414451.8 milliseconds?\nAnswer: 0.1151255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 730627470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310.0000211 - 310. What is c rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:05 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*m + 29, 4*m - 16 = p - 2*p. Let s = p + -2. Suppose 0*g - 3*c - 1170 = -3*g, s*c = g - 385. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-12)\/(-8))*-2. Suppose q*d + 18 = 5*d. What is the highest common factor of d and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.1 + -0.1. Let x be 5\/1 + (0 - 0). Which is the biggest value? (a) x (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**5 - 1. Let l(w) = 5*w**5 - 45*w**2 - 2*w - 35. Let o(g) = l(g) - 6*x(g). Find the second derivative of o(s) wrt s.\nAnswer: -20*s**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x + 5*x - 8*x + 1 + (-3 + 2 + 4)*(-4 + 4 + x) - 902 + 902 - 32*x in the form y*x + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 531 by -9.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -0.4. Let h = 4.9617 + 0.0383. What is the second smallest value in h, -45, i, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11693*n*z**2 + 14676*n*z - 165*n - 83*z**2 - 1 wrt z?\nAnswer: 23386*n - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 123, 275, 487, 759?\n\"Answer: 30*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 21 + 23 = 0, 2*f = 4*s - 522. List the prime factors of s.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5 + 212*w**4 - 3400*w**3 + 22792*w**2 - 62132*w + 42532 = 0.\nAnswer: 1, 7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.14 (b) 3\/2 (c) -18 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43627678, 87255352, 130883026, 174510700, 218138374?\nAnswer: 261766048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2))**(2\/23))**(1\/10)*((k**0*k)\/k)**(-1\/4)\/((k*k**7)\/k*k*k*k**(3\/4)) assuming k is positive.\nAnswer: k**(-4473\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -320*y + 5093. Give a(16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/18*-2 + (-1600)\/(-72). Calculate the greatest common factor of i and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmfm when four letters picked without replacement from tbfbmbfmfmb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = -20. Suppose -o*p = -p - 162000. What is p rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 1693770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 20436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/32)*t*t\/t**(-1\/2)*t)\/(t\/((t*t\/((t*t**28)\/t))\/t))**(-2\/21) assuming t is positive.\nAnswer: t**(583\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -16. Let i = 26 + z. Let m = 37 + i. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*x + 0 + 24 = -379*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 16*d**2 - 12*d - 18. Give h(17).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*16\/144)\/(2*2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*j + 462*j + 19473 - 1798 = -121*j for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, 3\/13, -4, 5?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 33*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 868859961 - 0.2.\nAnswer: 868859960.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204613043?\nAnswer: 47, 92627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 3*d + 7. Let z = -6 - -10. Let h(p) = z*p - 5*p + 0*p. Let a be h(5). Determine x(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 10\/2959579 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from ddusswcciiiswcw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 6 - (-6 + 8). Let l be (10\/n)\/((-2)\/3560). Suppose 3*g - l = -2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - -2349.8.\nAnswer: 2391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1532635 and 159885?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 591 = 3*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -0.52. What is the second smallest value in -4, -2, -9, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71571 < -71684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 3.5036?\nAnswer: 1.5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414636 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14275, -14283, -14291?\n\"Answer: -8*g - 14267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 15*p**2 - 8*p + 6. Give v(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 - 18*z - 13. Let g be o(3). Which is the nearest to 1\/2? (a) g (b) 47 (c) 3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-13)\/((k**0*k)\/k*k**(-2\/7)) assuming k is positive.\nAnswer: k**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 514 and 207714853?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -331 > -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*s = -122, -220 = -4*o - 3*s - 103. Suppose -2*n + j + 79 = 0, 4*n - 2*j + j - 163 = 0. Calculate the lowest common multiple of o and n.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353 + -817\/3. Let y = 80 - h. Which is the third biggest value? (a) y (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, -133, -291, -511, -793?\n\"Answer: -31*j**2 - 3*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 - 116*z**2 - 31*z - 309. Determine w(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) 2 (c) 0.5 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5808 = -44*t + 32*t. Suppose t = 13*n - 452. Calculate the smallest common multiple of 3 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -37. Suppose 0 = 4*m + 4*j - 64, -2*m + 3*j + 20 = -w. Calculate the remainder when 84 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 5. Suppose o + s = -4*o + 8, 3*o = 2*s + u. Factor 3\/2*t**o - 2*t + 1\/2.\nAnswer: (t - 1)*(3*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {t: 5, k: 6, g: 5, c: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 3.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(4 + 1 + 1)*(b**5 - b**5 + 2*b**5).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 863750220 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -64, 5.\nAnswer: -64, 2\/27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooouoouou. Give prob of picking 3 o.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -7. What is the third derivative of 11*n**4 + 4*n**2 + 10*n**6 - s*n**4 wrt n?\nAnswer: 1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*h**2 + 32*a**2*h**3 + 3*a**2*h - 4*a*h**2 - 19*h**3 wrt a?\nAnswer: -6*a*h**2 + 64*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 14\/4)\/((-9)\/834) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133601243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.4668 to 1 dp.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 328*f - 305 + 183. Let l(d) = -d + 3. Let g be l(4). Which is the closest to g? (a) f (b) -0.5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46073 (base 12) to base 3.\nAnswer: 11202010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -j - 3*w + 18, -5*j - 7 = -w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/2225 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**2 + 21008601*l = 0.\nAnswer: -7002867, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:35 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(50) - (sqrt(50) + sqrt(50) + (sqrt(50) - sqrt(200)\/sqrt(4)) + sqrt(50)) - sqrt(50)))\/(sqrt(10)*-2*-5).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/4)\/(21*(-7)\/42)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -24. Let c = q + -9. Suppose -c*i - 3 = -0*i + 5*m, 5*i + m = 17. Solve 0*a - i*a - 24 = -g, 29 = g - 5*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20295096.\nAnswer: 2, 3, 647, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5686*c - 7. Let y(r) = r**2 + 46. Determine b(y(k)).\nAnswer: 5686*k**2 + 261549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 926765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -35, 7, 77, 181, 325, 515, 757?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-12))\/((-108614)\/(-14811)).\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - 14*q - 38. Give z(-5).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176905 divided by 5?\nAnswer: -235381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 2*i + 9. Let z be o(0). Suppose -5*s + 29 = z. Solve 3*l = -2*d + 3, -2*l - 2 = -s*d - 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = -4*i + 2*b - 12, -413 = -5*i - 2*b. What is the remainder when i is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31, -0.3, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*s + 8, -2*z - 2*s = -z - 1. Let g(q) = 2*q + 7. Is g(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -4)\/((-2)\/(-2)). Let v = 5373 + -5365. What is the remainder when (-8)\/6*(-66)\/k is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/9 + 910*t**4\/9 + 4028*t**3\/3 + 39376*t**2\/9 - 29504*t\/9 - 23296 = 0.\nAnswer: -7, -4, 2, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w - 34*w - 25 = 5*x, 2*x + 5*w = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 339720*-3\nAnswer: -1019160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 98812703.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 d, and 1 t when three letters picked without replacement from ftotfddtddddoodgdtet?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 53*d + 436. Give f(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42125323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47826 + 47826 + 1574*b.\nAnswer: 1574*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 111334 and 111334 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*m - 4*g, 2*g + 3*g = -4*m + 27. Suppose m*p + 16 = 5*p. Find u, given that 6 + 1 - 6*u**3 - 3 + 2*u - p*u**2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mohu when four letters picked without replacement from {h: 2, i: 6, m: 1, o: 2, n: 3, u: 1}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, e: 14}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -43365, 35, -1\/4 in descending order.\nAnswer: 35, 3, -1\/4, -43365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 = -85*h + 624. Which is the fifth smallest value? (a) 4 (b) -3.7 (c) 0 (d) h (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8269, 8289, 8333, 8413, 8541?\n\"Answer: 2*w**3 + 6*w + 8261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*o + 64 = -131, 3*l - 569 = 2*o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383256941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/16 + 55107\/3768\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-12)\/(-112))\/((-34)\/(1496\/66)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*i = 40, -2*w - 3*i = 1 - 41. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 7 (c) 9 (d) -675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28001 * -0.4.\nAnswer: -11200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227*w + 5*w**3 + 1 + 229*w + w**3)*(1 - 1 + 3*w).\nAnswer: 18*w**4 + 6*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 823 + 4469 = 28*v. Let w = 431 - v. What is the highest common factor of 44 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*h + 34 + 55, -3*j - h = -237. What is the greatest common divisor of j and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22474356027421 - 0.06.\nAnswer: 22474356027420.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 995*r**2 - 1035*r + 517. Let n(o) = -7*o**3 - 1783*o**2 + 2069*o - 1035. Let u(a) = -5*d(a) - 3*n(a). Solve u(y) = 0.\nAnswer: -65, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 39*k**4 - 597*k**3 + 2028*k**2 - 1980*k = 0?\nAnswer: 0, 2, 30\/13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 314*i**2 - 356*i - 6318. Give b(-158).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 44717248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/4 - 3*y**4 + 13*y**3\/2 + 40*y**2 - 675*y\/4 + 125 = 0.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6054488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (4 + (-20 - 0)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5871 + 7182. List the prime factors of f.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfffbfffbfbfffbf. Give prob of sequence bbfb.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7359, -7371, -7407, -7479, -7599, -7779, -8031?\nAnswer: -8367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y**3 - 14*y**4 - 19*y**3)*(12 + 0 - 1) + (2*y**4 + 3 - 3)*(5 - 1 - 3) - 4*y**4 + 3*y**4 + 0*y**4.\nAnswer: -153*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 666583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 229, 624, 1179, 1894, 2769?\nAnswer: 3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 11, o: 3}. Give prob of picking 1 u, 1 o, and 2 p.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {b: 9, t: 10, z: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 + 155 = 6*o. Suppose -o = -6*a + 57. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 221 and -0.43.\nAnswer: 220.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 3*x)*(-3*x + 3*x - x**3) + 2*x**3 + x**4 - 2*x**3 + 293354*x - 293354*x - x**4 + 1786.\nAnswer: x**4 + 1786","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8721 - 5234. What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142970, -142971, -142972, -142973, -142974, -142975?\n\"Answer: -a - 142969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -2, -58, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8182 minus 74.7?\nAnswer: -8256.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*g = -2*x + 4*x + 264, -3*g - 3*x + 5*x - 5*x = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 521 + -269. What is the units digit of l\/10 + 6\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.179261 to three dps.\nAnswer: 1.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzfzzjjffjmmtfj. Give prob of sequence ztz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 6:46 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 130, 127, 122, 115?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00099439 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/14)\/(1\/7). Let x(f) = -f + 6. Let r be x(n). Let i be -1*(-1)\/(-5) + 126\/(-45). Sort i, 7, r in decreasing order.\nAnswer: 7, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/176*22 + (-6264)\/162.\nAnswer: -128\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21624905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342553690.\nAnswer: 2, 5, 34255369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 11:56 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -3.8. Let z = 460 + -459.97. Suppose -10 = 2*x - 0*x, -2*o + 15 = -x. Which is the nearest to -0.1? (a) z (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iirirttritiriirtr. What is prob of picking 2 i and 1 t?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -474*g**2 - g + 1. Let v be s(1). Let z be (-3)\/(1 + v\/471). Let c = z - 284. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421583337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 465.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/2, -32\/3, 6\/13, 2\/7, -2, -1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6, t - 3 = -3*t - 3*u. Suppose 9 = 3*x, t*q + 2*x = -q + 154. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17228 + 17228 - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (7 - 4) - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.176 - 21.176. What is the fifth smallest value in 0.4, 3\/5, -1.1, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**3 + 16 - 3*s**3 - 12*s**2 - 2*s**3 - 10. Calculate k(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 27. Suppose 0 = 204*u - 200*u - 96. Suppose -5*p = -o - o, -2*p - u = 4*o. Sort 1, o, t, -2.\nAnswer: t, o, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 9*p + 27, 18*j - 3*p - 4917 + 4908 = 23*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001555 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**10*v)\/v)\/v**(2\/9))**(3\/20)\/((v*v\/v**0)**(-6\/5)*(v*v\/(v\/((v\/v**(5\/4))\/v)*v))\/(v*v**(-7))) assuming v is positive.\nAnswer: v**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 408.16463105+6\nAnswer: 414.16463105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 + 57. Let y = w - 24. Let d = y + 127. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 558*q**2 - 5764*q - 11417. Calculate c(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1052087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -130. Suppose 5*a - 132 = -g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/30 and 451\/132*(-1 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + 3.2. Let r = -4.2 + m. Which is the second smallest value? (a) 2 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*m - 294*m + 20 = -2*g, -m + 10 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.6 * 2.\nAnswer: 89.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 43 = -5*k, -4*k - 162 = -3*y. Let b = y + -47. What is the highest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11441, -91810, -310013, -734966, -1435585, -2480786, -3939485?\n\"Answer: -11486*r**3 - r**2 + 36*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182215.\nAnswer: 5, 11, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -37. Let x = -18 + f. Let d = 4\/17 - 78\/187. What is the nearest to d in x, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3 - 365*h**2\/2 - 2359*h = 0.\nAnswer: -337\/2, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -13 + -8 + 5 - 31?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225*g*q**3 + 16*g*q - g - 7631*q**3 + 47899*q**2 wrt q.\nAnswer: -1350*g - 45786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3380500*t**4 - 7563357*t**2.\nAnswer: -81132000*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -15 - 5. Suppose -15 - 60 = -g*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/13)\/(16\/(744016\/(-49))).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 9*f + 2*f)*(52*f - 90*f - 6*f).\nAnswer: 176*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - s. Suppose 2*u + u - 12 = 0. Let t(j) = 3*j**2 + 2*j - 2. Let r(y) = u*z(y) - t(y). Give r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 + 6*x**5 - 4*x**5 + (3 + x**4 - 3)*(-2*x + 3*x - 2*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from dbbdbbbbbbbbbbbbbbbb.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9986538 days in seconds?\nAnswer: 86283.68832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15702, 15376, 99734, 264012, 534850?\n\"Answer: 4440*u**3 - 2*u - 20140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - 1.6. Is j != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1. Let b(j) = 17*j**2 - 11*j**2 + 8 - 7*j - 5*j**2. Let u(v) = b(v) + 2*q(v). Find t such that u(t) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144 in 9, -1, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824\/20 + (-2)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by -4 + (-390)\/(-25)*(-25)\/(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -98. Calculate the remainder when 35 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 15*h + 20*h - 1, -4*j - 9*h - 24 + 23 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/44 + -6*(-4)\/11. Solve 0 = -3*c + 4*c - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148945215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 10*f - 10*f - 4*f - f**2.\nAnswer: 4*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(6600\/(-16) - -9). Let i = m + 582\/2959. Which is the third biggest value? (a) 0.4 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475.5724 centuries to months.\nAnswer: 570686.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/11)\/((f*f*f**0\/f)\/f)*(((f\/(f\/(f\/(f**(-2\/9)*f)*f)))\/f)\/f)**(2\/65) assuming f is positive.\nAnswer: f**(-1324\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317807453.\nAnswer: 43, 59, 125269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u + 16 = 0. Let w be u\/(-2) + 3 + 2. Suppose -z - 10 = -3*a, -2*a + 3*a - 5*z + 20 = 0. Solve -w*v = -a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2)*x)**(-6\/5)\/((x*(x\/x**(-3))\/x)\/(x*((x**(-1\/3)\/x)\/x)\/x)))**(-1\/18))**(-7\/2) assuming x is positive.\nAnswer: x**(-182\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, r: 1, t: 1, d: 2}. Give prob of picking 2 h and 1 d.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 33*g + 63 = 0. Let p = g - 61. Solve 0 = -0*h - h - 4*z + 5, 5*z = 3*h + p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211861989 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1269\/67, 1, 7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-9 + 10 - 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.94 + -0.06. What is the third biggest value in 0.2, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 6 (c) 0 (d) -6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 863983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8 = 3*m, 19 = 942*j - 945*j - m. Let t(l) = 17*l**3 - 5*l**2 + 2*l + 8. Let y(i) = 8*i**3 - 2*i**2 + i + 4. Give j*y(v) + 2*t(v).\nAnswer: -6*v**3 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/(22\/(-264)). Suppose 536 = 4*f - 3*b - b, -4*f + 545 = 5*b. Suppose 8*v - f = 3*v. Calculate the highest common divisor of m and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b + 2*b + b)*(-2 + 0 + 0) - 6*b + 3*b - b)*(-833*b - 412*b - 331*b).\nAnswer: 9456*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*k - 280*k + 437 + 2*k**3 + 137*k + 17*k**2 - 262 to the form r + g*k**2 + u*k**3 + j*k and give r.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6.9999977. What is z rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -262, -261, -260, -259, -258?\n\"Answer: c - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 3379*s - 2839*s - 543*s.\nAnswer: -3*s - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 144579445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -354*g - 13. Let q be w(0). Sort -0.17, q, 4 in descending order.\nAnswer: 4, -0.17, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/3 + 2*q**3 + 2*q**2 - 14*q\/3 - 4 = 0. What is q?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 4*h, h = 3*h - 4*t + 4. Let y = 4 + h. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/29887 and 28\/101023.\nAnswer: 12223783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5389.\nAnswer: 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4421\/8858 - 4\/4429. Which is the fourth smallest value? (a) 2 (b) -3 (c) t (d) 4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) + sqrt(325) - sqrt(13)) + -2 + -5 + 2*sqrt(1573).\nAnswer: -7 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-39)\/9 + 4 - 620\/(-6) is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**4 + 37*x**3 + 2*x**2 - 54 wrt x.\nAnswer: 24*x + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 + 3*t - 2. Let a be ((-8)\/28)\/(2\/(-14)). Let z be s(a). What are the prime factors of z - 5 - (-1 + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 1:08 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 56 + 19 = 3*n, -3*o = 5*n + 5. Let a = o - -4. Solve d = -2*d - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28971 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + 22 + 16725\/(-575)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/28385 and -52\/1893685?\nAnswer: 13255795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 12 - 8 - 2 - 2 - 13*g**2. Let u(r) = -55*r**2. Calculate u(v(h)).\nAnswer: -9295*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403642, 403646, 403650, 403654, 403658, 403662?\nAnswer: 403666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4384050 and 8250?\nAnswer: 21920250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1043 - -986. Suppose -69 = 2*h + 41. Let r = h - g. Solve -r = 2*m + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -497, -1519, -2541, -3563?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21*a**2. Let n(h) = -9*h**2. What is n(v(t))?\nAnswer: -3969*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -144 + 438. Let i = x - 103. What is the greatest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 58*v - 246. Give n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 63 - 89*m + 37.\nAnswer: -89*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5))\/q**(-7))**9 assuming q is positive.\nAnswer: q**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 198 and 0.2?\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/20 + 6\/5. Put g, -5, 5 in ascending order.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 at most as big as -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299.039 + 1.461. Let d = 301 - q. What is the nearest to 1 in 5, 0.3, -1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + -27. Let x = 235 + t. Suppose 3*i + 0*i - 48 = 0. What is the greatest common divisor of x and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 24. Suppose m + 97 = -5*v. Is 3 a factor of (-2)\/3 + v\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -29*l + 7\/3*l**3 - 31 - 6*l**2. Is j(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217176599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - l**2 + 1 + 3 + (2*l + 2*l + 0*l)*(0*l + l + 0*l).\nAnswer: 3*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 3, 1, 0, 7, 3580 in descending order.\nAnswer: 3580, 7, 5, 3, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145085.\nAnswer: 5, 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 463 = -33. What are the prime factors of x?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1250*a**3*z - 92698*a**3 + 152639*a**2*z + 174*a*z wrt a?\nAnswer: -7500*z - 556188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32*(-1)\/3*-48. Suppose o + 140 = n + 4*o, 0 = -4*n + 4*o + f. Let u = 4060 + -4027. Calculate the remainder when n is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aha when three letters picked without replacement from hhfhfffhwhaeffa?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 28) + (-1 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 501 and (12 - (1 - 3)) + 2860\/(-572).\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/23)\/(s*s**(-2\/31)*s*s))\/((s**5\/s)\/(s\/s**(-4))))**(-17) assuming s is positive.\nAnswer: s**(22933\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 3513333?\nAnswer: -3513335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/20 - 22\/(-10). Suppose 11 = w*s + 1. Suppose -8*j - s*z = -3*j - 20, 4*z - 16 = -3*j. What is the nearest to j in -0.4, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose 4*p = -3*o + 35 + 144, -5*o = l*p - 293. What is the remainder when o is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -0.02, -3, -4, 0, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 611764 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 9:39 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rccrr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 3. Let b = u - -14.1. Let r = -1.1 + b. Sort 0.4, -0.4, r in decreasing order.\nAnswer: r, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + s - 3. Give y(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 5*g**3\/3 + g**2 + 1. Let s(t) be the third derivative of -t**5\/30 - t**4\/24 - 3*t**2 - 1120*t - 3. Give -4*d(m) - 9*s(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 129*r = 3*r - 8091 for r.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d + 25*d + 137*d + 75*d.\nAnswer: 195*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -446479?\nAnswer: 44647a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 19 (c) -1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/12)\/((36\/288)\/((-1)\/4))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0.5, 0.2, -37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s - 15. Suppose -5*d + 4*y + 3540 = 0, -2*d + 0*d + s*y = -1433. Let x(w) = -7*w - 704 + d. What is x(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15353 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 20*b + 5*f = 19*b - 64*b - 52, -52 = 4*b - 3*f for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*t**2 - 4*t + 1646*t**4 - 547*t**4 - 547*t**4 - 3*t**3 - 548*t**4 to the form q*t**4 + v*t**3 + g*t**2 + l + r*t and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3557202?\nAnswer: 2, 3, 11, 53897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s + s. Let n(k) = -3*k**2 - 51*k + 17. Let g be n(-17). Suppose l = 5*i - g, -3*l + 5*i = -0*l + 11. Solve -s + 7 = l*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 18. Solve -m*d = -0*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*(-35 - -5). Suppose 0 = -y - 1, -5*o + b = -o - 3*y. Sort o, -2, 2.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1945300212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u - 3. Calculate j(-12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 306851063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 4*z + 1. Let i be t(-3). Suppose 51 - 195 = -4*b + i*j, -5*j = b - 36. Calculate the remainder when 69 is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952470 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = 5*p - 54, -5*c - 65 = -5*p. Let a = c - -35. Suppose a = 3*o + o. Let l(x) = x**2 - 6*x - 1. What is l(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1506, 3023, 4550, 6093, 7658, 9251?\nAnswer: 10878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 2\/37 in increasing order.\nAnswer: -4, -3, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -746*z**2 + 2672*z**2 - 208*z**2 in the form t*z + v + i*z**2 and give i.\nAnswer: 1718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**7\/280 - 7*z**6\/720 - z**5\/60 - 113*z**4\/12 + z - 1. Let g(f) be the third derivative of u(f). Factor g(r).\nAnswer: (r - 1)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)\/a)**(6\/7)\/(a**(-1\/10)*a*a**(1\/4)) assuming a is positive.\nAnswer: a**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12733*u = -12859*u + 1134 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 80*f**3 - 9*f**2 + 2*f + 5. Let k(j) = -40*j**3 + 5*j**2 - j - 3. What is 3*i(t) + 5*k(t)?\nAnswer: 40*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 69439*q + 69444*q - 138882*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15.34011 hours?\nAnswer: 55224396000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 18*v = -14. Let n(m) = -68 + 24 + 19 - 13*m**v + 25. Let c(u) = 4*u**2 - 1 + 1. Give n(c(j)).\nAnswer: -208*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.048, 7, -2\/1225?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -14 - -10) + -23?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*z + 682*z - 355*z.\nAnswer: 1061*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12541960 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -135 - -135.00061. Round o to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, -3\/2300, -0.7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1*-2*sqrt(300))**2 + ((sqrt(3) + 0)**2*1 - -3*sqrt(12)))*4.\nAnswer: 504*sqrt(3) + 4848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 26 = -13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7760, 7737, 7714, 7691, 7668?\n\"Answer: -23*b + 7783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 3*w**5 + 0*w**5 + (w**2 - 5*w**2 + 3*w**2)*(-1 - w**3 + 1) - 44*w**4 + 44*w**4 + 15*w**5 - 249*w**5.\nAnswer: -235*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 715447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 391, 497, 623, 775, 959, 1181?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21424*t**3 + 19296*t**3 - 40711*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 521*f**5 - 3990*f + 591. Find the first derivative of w(s) wrt s.\nAnswer: 10420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r = -44*r - 20371. Let c = 7837\/5 + r. Factor c*n + 0 - 2\/5*n**2.\nAnswer: -2*n*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b. Let w(f) = b*f**3 - f**3 - 4*f**2 - 4 - 6*f + 0*f**3 - f**2. Calculate w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50839 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-105)\/14)*88\/(-385)*375\/(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - 420\/(-16). Let u be 10*(t\/4 + -3). Calculate the highest common divisor of u and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Let f = -113 + 231\/2. Let o = -0.19 - -0.49. Which is the closest to n? (a) o (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -204?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 48. Suppose -2*h + 2 = -4*o - 0*o, 4*o - 8 = 0. Let z be 2\/5 + h\/25. Sort z, 1\/3, 0.7, a in descending order.\nAnswer: a, 0.7, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m\/(m\/((((((m\/(m\/m**(1\/5)))\/m)\/m)\/m*m)\/m)\/m))*m)\/m)\/m*m)\/((m\/m**(1\/4)*m)\/m))\/((m**1*m)\/m)**(-27) assuming m is positive.\nAnswer: m**(469\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5929*y - y**3 + 5929*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/47 - -1002\/235. Factor -108\/5 - 384\/5*k - v*k**2.\nAnswer: -3*(k + 18)*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 7. Let w be k(-6). Let j = 2\/23 - 27\/46. What is the nearest to 1 in w, 5, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -17443217401393?\nAnswer: -17443217401388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 747.3629 nanometers?\nAnswer: 0.0007473629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 + -1e9031?\nAnswer: -1e8eb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -1573 - 32. Let n = -176 - d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:08 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 1342 = -3*m. Solve m*b + 50 = 71*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 2:06 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q + 0*q + 1 - 4*q. Let x(l) = l + 5. Let s(v) = v**2 - 14*v + 1. Let f be s(13). Let z = 11 + f. Give z*x(k) + 3*c(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1567*w - 4427. What is the tens digit of p(62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -572002 - -947837. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-648154)\/11349 - 5\/(-45)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 36523*s + 438289. Give v(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 591 + -578.236. What is h rounded to 1 decimal place?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 34. Suppose a = k, k + 8 = -2*i + 6*i. Let t(o) = 3*o**3 - i*o**2 + o**2 - 2*o**2 + 3*o**2. What is t(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00191430155 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.65 - -25.74. Let x = 89 + -86.06. Let u = x + 0.06. Which is the smallest value? (a) -1\/4 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 16. Let v = 20 - 7. Calculate the remainder when r is divided by 2\/(-1) + v + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1424 divide 2052641131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0150427 - 2.1309877. Let r = -0.020045 - k. Let h = r - 2.1. Round h to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*y + 5 = 0, 2*k = k + 5*y - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.270754 * -0.02\nAnswer: 0.02541508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 66 + 74 = r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 2*p + 0 - 4 + 33*p.\nAnswer: 25*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4644 and 1548.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/20 - g**4\/3 - g**3\/2 - 2*g**2 - 3*g. Let v be i(-3). Is v bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 19488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 709\/3 - (-84)\/126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = -5*z - 5*q, -5*z + 4*q - 13 = 0. Suppose -37*b + 10*b = 0. Sort b, -4, z, 5.\nAnswer: -4, z, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3 - (3 + (2 - 6))) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2535 + 3097. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5482, -5488, -5498, -5512, -5530?\n\"Answer: -2*j**2 - 5480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2774681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a**5\/2 + 185*a**4\/2 - 315*a**3 - 1180*a**2 + 2784*a = 0. What is a?\nAnswer: -8, -4, 0, 58\/27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -22*a**3 - 268*a**2 + 36*a + 991. Calculate m(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173b55 (base 13) in base 10?\nAnswer: 579740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9066777300 to the nearest 1000000.\nAnswer: 9067000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12932\/7 - -1846. Calculate the common denominator of (-83)\/(-8) + 0 + -2 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 51\/2*r**3 - 51\/2*r + 3\/2*r**4 + 126 - 255\/2*r**2 = 0.\nAnswer: -21, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 1, -49, -129, -245?\n\"Answer: -o**3 - 6*o**2 - o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 1119*t + 50380. Calculate z(-47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10348 is divided by 71.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fekefekjff. Give prob of sequence kjef.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + i - i)*(0*i - 2*i + 3*i)*(-5 + 31*i - 2 + 6) to g*i**3 + o*i**4 + x*i + u*i**2 + w and give o.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 330, 492, 652?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 2\/7, 0.5, -5, -0.46 in decreasing order.\nAnswer: 0.5, 2\/7, -0.46, -1.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98607 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdj when three letters picked without replacement from dacjlajlxlla.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2. Let s(h) = -h**2 - 1. Let t(m) = 12*m**2 - 4. Let n(q) = -8*s(q) - t(q). What is n(g(j))?\nAnswer: -16*j**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k - 40. Let x be 2 + 1 + -5 + 9. Let u be w(x). Solve 3*q + u = 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/36 - -1\/9. Let o(w) be the first derivative of 0*w + c*w**2 - 2 - 1\/6*w**3. Determine i so that o(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-18 + 54)) + 52.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2500 + 0?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223 + 228. Suppose 6*j + 1223 = 4*k + m*j, 0 = 5*k - 4*j - 1515. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3071*l**3*v - 440*l**3 - 2*l wrt v.\nAnswer: 3071*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 291*i + 204. Give q(-2).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let j(k) = k. Let u(o) = 3*o. Suppose -5*h - c = 34, 2*h - 4*c = -10 - 8. Let d = h - -9. Let f(t) = d*u(t) - 5*j(t). What is q(f(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/5 - 13*v**2\/5 + 1014*v\/5.\nAnswer: -v*(v - 26)*(v + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-3))\/(-30))\/((-1)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2939119.\nAnswer: 2939119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5)*31\/93?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.033 + 0.033. Let k = j - -24. Let f = 7 - k. Sort 0.9, -5, f, 4.\nAnswer: -5, 0.9, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(28) + (sqrt(108)\/sqrt(4))\/sqrt(9))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18. Let t be y + 50\/12 - (37 - 33). Sort t, 5\/3, 0.1.\nAnswer: 0.1, t, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*g**4\/7 + 8823*g**3\/7 + 269613*g**2\/7 + 318273*g\/7 + 57510\/7 = 0. Calculate g.\nAnswer: -27, -1, -2\/9, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -567*s - 30. Let r be c(-3). Let g = r + -378. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -630320 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22311 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 24 = -10*o. Let b(i) = i**2 - 13. Let j be b(o). Solve 4 = -3*h + 2*p, j*p + 7 = -2*h - 0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 3*d + 0*d)*(2*d + 3*d - 2*d)*(11 + 11 - 5)*(-1 + 1 - 2).\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -213670?\nAnswer: 213647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - r + 16 = 2*r, 4*f + 2*r - 14 = 0. Let k = 25\/2 - 12. What is the third biggest value in 2, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 1546\/9*h**3 + 892430\/9*h + 592900\/9 + 100358\/3*h**2 + 2\/9*h**4 = 0.\nAnswer: -385, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 14. Let t = n + 11. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2308.46km?\nAnswer: 2308460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1 - 6*h**3 + 4*h**3 + h**2 - 2*h**2 + 3*h**3. Suppose -2*f + 2 = -0*f. Give o(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by -277?\nAnswer: 199\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.56 * 15\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*d + 14 = -264*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, -130 in decreasing order.\nAnswer: 0, -4, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 2*v**2 - 2*v + 1. Let s be j(1). Suppose -3*o + 16 = o. Suppose 4*q - 2 = -o*p + 3*p, 10 = 5*p + 2*q. Is p smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 0*j**2 + 3*j**2 + (j - 2*j + 3*j)*(-8*j - 9 + 9))*(-3 - 1 + 2 + (8 + 16 - 14)*(-2 + 1 + 0))*(-j + 2*j + j).\nAnswer: 408*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 76*v + 88. Determine q(-39).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -686*a. Let s(g) = -51*g - 46*g - 52*g + 191*g - 46*g. What is d(s(u))?\nAnswer: 2744*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*z + 0*z = -15, -3*z - 9 = -p. Let s = p - -9. Let o be (1\/s)\/(-1 - 0). Which is the closest to 1? (a) -0.5 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*g + 421 = -0*j, -4*j = g - 1657. Suppose -3*c - 2*c = -j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -9e?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/40*5*24\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -21792452 in ascending order.\nAnswer: -21792452, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 - -10 - (-2350)\/(-3)*(-642)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 52*j**2 - 241*j - 155. What is h(46)?\nAnswer: 1455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/50*(-12*(-40)\/32)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(10)\/sqrt(2))*-1 + 5)*-2.\nAnswer: -10 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*b**3*u**3 + b**3 + 16*b**2 - 6*b*u**3 wrt b.\nAnswer: -222*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.109 (b) -5 (c) 0 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**4 - k**2 + 27*k - 6. Let h(r) = -r**4 + 1. Let l(v) = -6*h(v) - t(v). What is the second derivative of l(o) wrt o?\nAnswer: 168*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*8*3\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 3*k + 2*k + k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 8*t - 3*t**2)*(-6*t + 6*t - 4*t**2).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-21))\/(-100 + 110758\/1106).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/2? (a) -2 (b) 3\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127221, 127221, 127225, 127233?\nAnswer: 127245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 12*x = -3*i - 6, 5*i = -4*x - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.22, -14, -2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*u - 27611 = 0, -b - 200 = 4*u + 13622. Round b to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 6*z + 7. Let g be h(-7). Suppose g*s - 5*s + 75 = 0. What is the remainder when 58 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-235)\/(-15))\/((-38)\/(-228)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 433*u + 8800. Give v(-409).\nAnswer: -1016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 - t**3)*(0 + 0 + 2)*(-3 - 2 + 3)*(-1 + 1 - 1)*(12*t - 8*t - 72*t).\nAnswer: 272*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 192*z = -187*z + 6, -3*z - 12 = 0 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2561 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*i**4*o + 50*i**3*o - 5*i**2*o + 7*i*o + 484*i - 20*o wrt i?\nAnswer: -2424*i**2*o + 300*i*o - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 617375027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 17*p**2 + 241*p - 473. Determine t(2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466623598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = 85. Calculate the remainder when 501\/15 + (-4)\/10 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/480 and 115\/1422.\nAnswer: 113760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 45. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g + 20 = 0. Suppose -g = -5*j, 3*u - j = 46 + 52. Suppose -m - m = u. What is m rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22354 (base 11) to base 13\nAnswer: -11969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1449 and 4514531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*5*9\/(-180). Suppose -2*k - 130 = -25*n + 23*n, 0 = -5*n + a*k + 328. What is the highest common divisor of 1386 and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -372*p - 743. What is o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11211 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19000*p - 170988. Determine t(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 6. Let b be l(-7). Let x(m) = -4*m - 2*m + 0*m + 5*m. Let d(z) = -2. What is b*d(p) + 2*x(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.86 - 0.8. Which is the second smallest value? (a) 4 (b) 4\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - -1) + -1 + -1. Let u(q) = -2*q**3 + 3. Let w(p) = -5*p**3 + 8. Let c = 12 - 20. Give c*u(r) + i*w(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 120\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -403, -623, -855, -1099, -1355?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 706 = 2101. Suppose 0 = -6*t + 165 + l. Is 14 a factor of 2 + -3*(t\/(-6) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 938 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783*i**2 - 2658*i**2 - 661*i**2 - 107*i**2.\nAnswer: -4209*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 5:39 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 404900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyceecccceccy. What is prob of picking 2 y and 2 c?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20865*h**4 + 60*h**3 - h**2 - 17*h - 141498 wrt h?\nAnswer: 500760*h + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 6 (b) 1 (c) -0.06 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -29) + (151 - -191 - 318).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 23*z - 13*z.\nAnswer: -41*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -634288, -1268664, -1903038, -2537410, -3171780?\n\"Answer: k**2 - 634379*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - 0.4. Which is the smallest value? (a) 0 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:35 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 0.09. Which is greater: w or -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3\/5 (c) 1\/4 (d) -109.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y = -3*y + 568 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 10. Let y be (-2)\/(-4)*2\/o. Let r = 65.1 - 65.4. Which is the second smallest value? (a) -5 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 8.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 75, 94, 115?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55056 is divided by 353.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**8\/28 - 2*h**4\/3 - 3*h + 7. Let v(z) be the first derivative of c(z). Find the third derivative of v(i) wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17514779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 405, -1421, 11 in ascending order.\nAnswer: -1421, 11, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -445*y. Let i(n) = 32650*n**2. Give f(i(x)).\nAnswer: -14529250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 - 95. Suppose 31 = -4*k + b. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3337, 3424, 3573, 3784, 4057, 4392?\n\"Answer: 31*j**2 - 6*j + 3312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -92 * -1.12768\nAnswer: 103.74656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -3 + 31 + -29.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91295809?\nAnswer: 11, 23, 360853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 12*d = 14*d + 2*d - 1508 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-407 - (-2 - 3)) + -3. What is the units digit of f\/(-4) + 39\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(720) + -1)*6)**2 - -4*(-3 + 0 + sqrt(180)).\nAnswer: -1560*sqrt(5) + 26029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-343*s + 1996*s + 915*s)*(-2*s - 2*s + 7*s)*(-2*s**3 + 0*s**2 + 0*s**2).\nAnswer: -15408*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10487600 rounded to the nearest ten thousand?\nAnswer: -10490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + -2 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (36 - 6 - 8) - (66 - 0) - 12.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 12) in base 6?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/5 + 11*o**3\/5 - 12*o**2 = 0. What is o?\nAnswer: -15, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 3:23 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 - 62 - (-3 + 5 + -4 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 42, -2.5, -0.3, -2\/15, 3\/4 in descending order.\nAnswer: 42, 3\/4, -2\/15, -0.3, -2.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 + 345 - 104 + 368 - 130)*(33 - 33 - 22*j**2).\nAnswer: -14124*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176649 less than 11?\nAnswer: -176638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x + 15. Let l be s(0). Suppose 0*m - 2*m = -10, -5*m + l = -2*u. What is the remainder when 60 is divided by 107\/u - 2\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135289.02524767 plus -0.06?\nAnswer: 135288.96524767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 18207?\nAnswer: 18210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**3\/6 + k**2 + 6*k. Determine p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16049303 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 492\/10 - 10\/50 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 9*s**2 - s + 31. Give g(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 636535 smaller than 636536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583828 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1861. Let l(z) = 1595. Let i(b) = -7*l(b) + 6*w(b). Let p(c) = -c - 1. Let m be p(-2). Let t(y) = y + 2. Determine m*t(d) + 2*i(d).\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 + 0.111.\nAnswer: 31.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 362673 (base 8) to base 15\nAnswer: 26c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 3*s - 85.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*r**2 + 2 + 5*r**2 + r**2 + 0*r**2 + 2 - 2 - r**2 + (-2 + 2*r + 2)*(2*r - r + 0*r) + r**2 - 3*r**2 + 3*r**2 to f + w*r**2 + h*r and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 698804 and 21305.\nAnswer: 3494020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 11:46 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*f + 175, -2*f = 2*z - 3*f - 70. Calculate the common denominator of -101\/12 and z\/30*15\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10262404 is divided by 3420791.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + 0*q - 4*q + (-1 + 1 + 4*q)*(636 + 405 + 563) in the form h*q + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -39. Let g be (l - 1)\/(-5) + -3. Let z be g\/(-10)*76\/(-57). Which is the second smallest value? (a) -3 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1751.78mm?\nAnswer: 0.00175178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4025641.9605 - -3670033.06104. Let d = 355605 + f. Let n = 3.9 + d. Round n to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53401, -106803, -160205, -213607?\nAnswer: -267009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 3*y**2 + 2*y**2)*(2*y - 19*y - 23*y)*(-2*y - 6*y + 2*y).\nAnswer: -240*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106531969?\nAnswer: 191, 557759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5270)\/5640*15 - -14)*(-4)\/3.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104))\/sqrt(8))**2 + (sqrt(13) - sqrt(52))**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 7 + 10 - 3. Let h(z) = -2. Let r(u) = u**2 - 1. Let j(n) = 5*n - 36. Let q be j(6). Let l(g) = q*r(g) + 3*h(g). Determine l(y(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 + 7\/6*z**3 + 3\/2*z**2 + 1\/12*z**4 + 4*z. Let a be (-12)\/(-10)*15\/(-3). Give m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6025, 6035, 6045, 6055, 6065?\n\"Answer: 10*d + 6015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10143*f. Let s(q) = -2*q. What is n(s(k))?\nAnswer: -20286*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 10*h + 10. Let s(d) = -1 - d + 4 - 2. Let a be (4 - 3)*(-28 + 1). Let r = a + 15. Determine r*s(o) + q(o).\nAnswer: 2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -q. Let l(b) = 22 - 14 - 3*b**q - 9. Let n(i) = -i**2 + i - 1. Determine -l(w) + n(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (29 + (35 - 94))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times 3\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 76 = 2*v, n + 62 = 5*n - v. Suppose 2*t + 2*t - n = 0. Let m(h) = h**3 + 4*h**2 + 3*h. Let c be m(-3). Solve t*z - 8 + 0 = c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + k = -80 + 70, 55*c - 4*k = 56*c + 52 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from yvsyssssyvss?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 = -4*i + 2*i, -3*i - 2*h = -5. Suppose -i*p + p + 26 = 0. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -2*sqrt(612) + (sqrt(612) + -1)*-2 + sqrt(612))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.802079 rounded to 1 decimal place?\nAnswer: -31.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1322, -1321, -1310, -1283, -1234, -1157, -1046?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2393, 4781, 7169?\n\"Answer: 2388*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12941563+16\nAnswer: 12941579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2252 * -69\nAnswer: -155388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20401647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25025.141 - -24999. Round t to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twtwttyyztts. What is prob of sequence swzt?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 14240*s - 128322 = 0. What is s?\nAnswer: -9, 7129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 61 - 2*y**2 + 0*y**2 - 61. Let c(g) be the third derivative of -g**5\/20 - g**2. What is z(c(w))?\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a milligram in micrograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -0.3 (c) -1067 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.645 and -2.39.\nAnswer: -3.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - -3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -12 + 8 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 1484 = 3*d + 1416, 12 = 2*x + 5*d for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 1675*s**4\/4 - 1958*s**3\/3 - 826. What is the third derivative of p(y) wrt y?\nAnswer: 10050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7374638189062.8 less than -0.5?\nAnswer: -7374638189063.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(2\/21)*m)\/(m\/(m\/((m**(-5)\/m)\/m)))*(m**(-1))**(3\/20)*(m\/((m*(m\/((m*m**(1\/12)*m)\/m)*m)\/m)\/m)*m*m*m**(-5))**(-1) assuming m is positive.\nAnswer: m**(2491\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 10*t - 2. Determine o(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**5 - 13*i**4 + 22*i**3 + 13*i**2 - 20*i + 1. Let v(o) = -o**5 - o**4 + o**2 - 4*o - 1. Let d(u) = a(u) + v(u). What is y in d(y) = 0?\nAnswer: -1, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*z = -21, 0 = -l - l + 4*z. Let j = -2 - l. Solve -x - 15 = j*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 300414122?\nAnswer: 300414114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*d - 8, -3*d = 2*z - 6*d + 14. Let u(j) = -1. Let q(l) = 4. Let y(f) = -q(f) - 3*u(f). Let o(i) = i + 3. Determine z*o(r) - 3*y(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:37 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 965, 953, 919, 851, 737, 565?\n\"Answer: -2*c**3 + c**2 - c + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 10)*(-54)\/8*(-2)\/(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187261.9916 + -187221. Let c = d + -41. Round c to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 - 7*j**5\/60 - j**4\/3 - j**3\/6 + j**2 + 8*j. Determine h(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d + 4 = 0. What is the greatest common divisor of 24 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*t - 6*t + 12*t)*(-1 + 2 + 1)*(-3 + 5 - 3).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19116543 is divided by 1911653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:52 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 13*t + 4. Let k be z(4). Let b be 1916\/k + (-9)\/(-6). Suppose -9*o + b = 34. Solve -24 = 4*g - 4*s, g + 2*s + o = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 2. Suppose -101 = 5*g + 4*s, 0 = 5*g - 9*s + 4*s + 65. Let l = g - -25. Calculate the smallest common multiple of y(-3) and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33023 - -30?\nAnswer: 33113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 7*b + 7. Let l = 11 + -5. Let h(o) = 2*o**2 + 13*o - 13. Let s(r) = l*h(r) + 11*z(r). What is the units digit of s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584209 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnn when three letters picked without replacement from rnnrj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 - i**4\/6 - 67*i**3\/6 - 3*i**2 + 223*i. Calculate w(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 45*z - 20. Suppose -k + 76 = -5*k - 4*c, -119 = 5*k - 3*c. Let v be q(k). Solve 4*j = 5*b - 12, -4*j + 3*b - 2 = v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 0.0052.\nAnswer: -0.0884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**3 - 2*t**3 - 2*t**3 + (-16 + 16 - t**2)*(3 + 7*t - t - 3*t) in the form q*t**2 + j*t + g*t**3 + m and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6990895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n - 110 = 0. Let u = n + -8. What is the remainder when 25 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.98 - 0.12. Let u = 2.97 + c. Let b = u + 0.134. What is b rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100000101000 - 101?\nAnswer: -10100100000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 2*g**4 - g**4 + (0 - g + 0)*(11*g**3 - 7*g**3 + 3*g**3) + (5*g**4 - 2*g**4 - 4*g**4)*(2 - 3 + 2).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/4))**(-1\/64))**(1\/16))**38 assuming r is positive.\nAnswer: r**(-19\/2048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 44*z**2 + 5*z + 25. Let k be l(5). Calculate the greatest common factor of k and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-4 - 2)*5\/110*-22. Solve -9*q + 11*q + l = -2*b, 12 = -2*q + 4*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**5\/20 - 2*j**2 - 6*j. What is the first derivative of z(q) wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u + 10. Let w be -5 + (-26)\/(-6) - 52\/12. Give j(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.5 times 2.42\nAnswer: -90.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -32.56. Let f = 1 - m. Round f to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380290673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**3 + 3*n**3 + 75*n**3.\nAnswer: 91*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppppppffpf. Give prob of sequence ppp.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 + 2) - (-3 + 4). Let p be (-46)\/10 + 2\/(-5). Sort m, p, -2 in descending order.\nAnswer: m, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/7)\/o)*o*o*(o**1\/o*o*o*o*o)\/o)\/((o*o**1)\/((o**(-1\/4)*o)\/o)) assuming o is positive.\nAnswer: o**(141\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 11. Suppose m + 6 - 3 = 0. Let u be m\/(3\/(1 - -8)). Let h be r(u). Solve -h*b - 3*x + 8 = 2*b, 2*b - 5*x = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -53. Differentiate 30 + 0*a - 27*a - l with respect to a.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*i - 48. Let f be (30\/45)\/(332\/i). Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/(63\/72)*-14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26103253 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3223*f**6 - 718*f**2 wrt f.\nAnswer: 386760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1.4, -2\/29, 29, 2\/5, 73, 3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*o + 13*o - 38*o**2 - 4*o - 3*o**4 - 2*o**4 + 7*o**4 in the form i*o**2 + f*o**4 + q*o**3 + b*o + s and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5097430 to the nearest one hundred thousand.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7940685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - ((sqrt(108) - (sqrt(108) - (sqrt(108) + -3*1*sqrt(108)))) + sqrt(108)))\/sqrt(9))\/((sqrt(6) + sqrt(36)\/(sqrt(18)\/sqrt(3)))*-3).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*1*((-7)\/(-3) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 0, -3121963, 4?\nAnswer: -3121963","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360014.\nAnswer: 2, 180007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1385939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 6*u - 3. Let o(a) = 3*a**2 - 6*a - 4. Determine 4*o(w) - 5*x(w).\nAnswer: -3*w**2 + 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-6)\/(-2))*1. Let f = i - -6. Solve 0 = -f*j, -5*h = -j - 4 - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = c + 1448, 19*c = 23*c + 5*z + 5825. Let y = -1019 - c. Calculate the highest common factor of 63 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17171 - 749*z + 17171)*(-6*z + 2*z + 2*z + (-1 - 2*z + 1)*(4 - 1 - 1) - 3*z + 3*z + z + 5*z + 2*z - z) as x + h*z**2 + r*z and give h.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {g: 5, p: 9, t: 2}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*i**3 + 104*i**2 - 10150 wrt i?\nAnswer: -153*i**2 + 208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + u + 2 = 0, 2*o - 4 = 2*u + 3*u. Suppose -1421 = -3*y - 4*g, -3*y + 0*y + 1411 = o*g. What are the prime factors of y?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49432.89 milligrams to grams.\nAnswer: 49.43289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/7016 and -57\/8.\nAnswer: 7016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -21*x + 15. Let q(y) = -y + 1. Let z(h) = 1. Let i(f) = -4*q(f) + z(f). Give 11*i(a) + 2*n(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1485667 divided by 1\nAnswer: -1485667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 14, r: 4}. What is prob of sequence vrvr?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -728, -729, -730, -731, -732?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 801239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765987469?\nAnswer: 13, 23, 29, 88339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/85)\/((8\/(-20))\/(10\/(-25)))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 636 and 13192224.\nAnswer: 699187872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z**3 + 26*z**2 - 37*z - 4. Let o(y) = -80*y**3 + 235*y**2 - 335*y - 35. Let t(a) = -35*j(a) + 4*o(a). Find w such that t(w) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1525*q + 1871*q - 11072 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48838294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 220 + 11381*k**2 + 179 - 399 in the form f*k + i*k**2 + m and give i.\nAnswer: 11381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let d = 4.2 + -0.2. Let a = d + k. Is a at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.109 + 0.021. Let w = f - -0.67. Let m = -0.75 + w. Is 1\/3 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.4 + -60.4. What is the closest to -2 in 0, w, 1\/35, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574836789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 6 = 3*f, -3*l = -14*f - l - 26070 + 26042 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - -1 - (-8 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1. Let o(g) = -4*g**3 - 8*g. Let u(t) = -t**3 - t. Suppose -z - z - 5*j = 13, 0 = -z - j + 1. Let w(r) = q*o(r) + z*u(r). What is n in w(n) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 18 = -4*g, -g = -4*g - 15. Suppose m*v = -4*x + 4*v + 36, 2*x - 42 = -5*v. What is the lowest common multiple of x and 0 + (-2 - -2) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 + 0 = y, -k - 2*y = 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1063912517*t**4 - 9226521*t?\nAnswer: 12766950204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -163503*n - 697. Is o(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 72*r - 544. What is z(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 8 (b) 7\/5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-8))\/(9\/30). Let c(w) = w**3 + 7*w**2 + 8*w + 5. List the prime factors of c(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - 0 - (1006 - 1014)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001506114 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - 4. Suppose -2*r + w + 2 = 0, -7 = -5*r - l*w + 5*w. Find the first derivative of 4 + 0*i**3 - i**r - 3 wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2448055284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 9, t: 1, y: 4, o: 2}. Give prob of sequence yy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:49 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1588\/11 - 39194\/275. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k**3 - 1804*k**2 - 1801*k\/2 - 225\/2 = 0. What is k?\nAnswer: -225, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 652356 (base 11) to base 15\nAnswer: 158db7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 785042\/3 + -261657. Let v = -1892\/3 - -648. Find the common denominator of s and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 + 17*z**2 - z - 10. What is c(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 9*t + 4. Let x(a) = -3*a**2 + 28*a - 12. Let k(d) = d - 7. Let b be k(0). Let j(o) = b*c(o) - 2*x(o). Let w be j(6). Is w less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6384)\/38)\/84*(-2)\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from cccczzcczzzzzcczzczc?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 596 and 4152168?\nAnswer: 4151572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*n - 170*n = 58. Sort -8, -5, -3, n in decreasing order.\nAnswer: n, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*m - 0*m + 4*i, 4*m - 17 = -i. Suppose 5*y - 27 = -m*o, -3*y + 7 = 2*y - 2*o. Suppose -x = y*x - 452. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 0)*(1524 + 52*g - 1524) to the form x*g + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/4*6\/((-204)\/(-16) - 9). Solve 2*j = w*t + t + 21, 2*t = j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*k**2 + 1134*k - 1134*k + (0*k + k + k)*(-k + 4*k - k).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*m + 137*m + 68*m - 46*m + 106*m as q + o*m and give o.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*d + 153*d - 30*d + 107*d.\nAnswer: 286*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 31. Let j be i(-11). Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*r - 6, -r + 4 = r. Suppose a = -5*b - 4*n + 253, 2*b - 5*n + 4*n = 109. Suppose 2*v = -5*y + 3 + b, 5*v - 3*y - 78 = 0. Is v equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4, 0.4, 2, 1578 in decreasing order.\nAnswer: 1578, 4, 2, 3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 241 + 3*y**2 + 616*y**3 - 618*y**3 - 131 - 3*y**2.\nAnswer: -2*y**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 12187936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 220950 at most 223669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or -1.9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = z - 0*z - 25, 4*z = 0. Suppose 2*d - 2*a - 236 = -5*a, 5*d + b*a - 590 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a. Let i(r) = 7*r - 429. Let s be i(56). Sort s, a, 5 in ascending order.\nAnswer: s, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 7. What is the least common multiple of 4 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2676 is divided by 653.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + x + x + (89 + 111 - 300)*(4 - 2*x - 4) - 2*x + 0*x + 4*x - 1 to j*x + r and give j.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/183 in -3, 0.6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -6, -5*n + 2*r - 8 = -2*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -85b?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15359152 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 2. Let t(i) = -i**2 - 13*i + 31. Let w be t(-15). Let z be c(w). Solve -3*m - 12 = -4*q - 0, -3*m = -z*q + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -76, -131, -208?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/15 + 8*j**4\/5 + 92*j**3\/15 + 8*j**2 + 10*j\/3 = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.514809 milligrams to tonnes.\nAnswer: 0.000000000514809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/3 (c) 5\/76 (d) -1540 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 10 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50485746*i**3 + 42689982*i**2 wrt i?\nAnswer: 302914476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56540903 and 3971.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3150, 6351, 9608, 12915, 16266, 19655, 23076?\nAnswer: 26523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 3*k**2 + 2*k + 4. Let w be h(-2). Suppose -54 + 4 = 5*x. Let p = x + 14. Solve p*g + 4 = -i, i - 6*i = w*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73.51064 or -86?\nAnswer: 73.51064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-7))\/((-51)\/714). Put w, 58, 7 in ascending order.\nAnswer: 7, w, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79.4417 - 0.0583. What is w rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hah when three letters picked without replacement from haxddhkhdxh.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97.05 - -74.2. Let j = y - 171. What is the smallest value in -0.1, j, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -126*h - 5. Let g(t) = 43*t + 2. Give 11*g(p) + 4*l(p).\nAnswer: -31*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233\/3 + -77. Let q = 5 + -3. Factor z*n - 4\/3*n**q + 2\/3.\nAnswer: -2*(n - 1)*(2*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4232 - -633.5232. Let y = r - 633. Which is the nearest to -1? (a) y (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 0.5, 1\/9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:55 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 + -122.00188. What is d rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189180)\/3153*((-4)\/(-10))\/(32\/(-60))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-168413.\nAnswer: -185254.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f = -140*f + 1000 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.7 - -11. Let n = -788 + 792. What is the biggest value in -0.07, n, a, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8 - 4. Suppose 0 = q - 6 - p. Let h = 41 + -12. What is the remainder when h is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 16*f - 26. Let x be z(7). Let m = x - 17. Suppose 0 = -m*w + 22*w - 416. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 6*a - 2*a)*(-4*a**4 + 4*a**4 + 2*a**4)*(1 + 13 + 20).\nAnswer: 68*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 8. Let u be c(8). Suppose 0*h - 2*h + 26 = u. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {f: 1, c: 1, e: 1, t: 2, x: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(2\/5)\/m*m\/m**(-1))**(-39)*(m\/((m\/((m*(m**(-4\/3)*m*m)\/m)\/m*m))\/m*m)*m\/(m\/m**9))**(-1\/4) assuming m is positive.\nAnswer: m**(-8101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1546 - 1478. What is the highest common factor of 36 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2745 - 933.1745. Let h = 866 + i. Let d = h + 70. Round d to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77162 = -4*a + r, 72*a - 5*r + 38548 = 74*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-2) - -2)*-1. Suppose g*i = -5*t - 0 + 5, -i + t = 1. Let v be 1026\/63 + 2\/(-7). Solve 2*j + 2*j + v = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/28)\/(2\/(-8)). Let n be (3\/(6\/20))\/z. Suppose -n*w + 2*o + 222 = -2*o, 2*w - 78 = -2*o. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541530614 to the power of 1\/2, to the nearest integer?\nAnswer: 50414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232.74 + -222. Let q = z - 11. Sort -1\/3, 4, q.\nAnswer: -1\/3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -10) + -15 - -11) + -2 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 10:16 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342112*u**3 + 111187*u - 4 wrt u?\nAnswer: 2052672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 976333.3 meters in kilometers?\nAnswer: 976.3333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljt when three letters picked without replacement from jltjv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 81*d**2 - 511*d + 29. List the prime factors of a(-75).\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 4*y - 5*r - 147, 2*r = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7))**(4\/9) assuming q is positive.\nAnswer: q**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*b*k**2*q - 2*a*b*k**2 + 9*a*b*q + a*k**2 - a*q - a with respect to q.\nAnswer: -2*a*b*k**2 + 9*a*b - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 499 + -411. What is the highest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1331 = -7*y - 1296. Solve 4*m = -5*p - y, 2*m + 0*m - 25 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -0*s. Suppose 3*i - 8 = i + s*r, -5*i - 4*r = -20. Let t = 1 + i. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5503236739 + 5503236780.00000359. Let t = -35.89 + -5.11. Let v = d + t. What is v rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - 2 - (-4 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:31 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2956\/2485 - 9\/497. Calculate the common denominator of m and 102\/5*10\/(-30).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 2, i: 4}. Give prob of sequence izhz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 z when three letters picked without replacement from dyyzydyzyynndyydydyy.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1960338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 - 2829*p**4 - 57192*p**3 + 822936*p**2 - 1234800*p - 6173712 = 0. Calculate p.\nAnswer: -922, -31, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 1. Suppose -5 - 11 = 4*o. Let v = -24 - -14. Let s be o\/(-20) + (-28)\/v. What is a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1)**19\/((i*i\/(i**(-4)*i)*i)\/i*i*i**(-3))*(i**1)**(-12\/19)\/(i\/(i*i**(-1)*i))**(-1\/9) assuming i is positive.\nAnswer: i**(653\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -194. Sort 1\/3, d, 15 in increasing order.\nAnswer: d, 1\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.5344 - 4\nAnswer: -11.5344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 2. Suppose t = b - 119, 2*b + 4*t = -3*b + 577. What is the remainder when b is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y + 4. Let c be b(0). Let f(u) = -u**2 + 10*u - 12. Let m be f(8). Is c greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -21*v - 1. Let b(w) = -5*w - 1 + 1. Let l be -13 - (-17 - 130\/(-10)). Calculate l*b(q) + 2*s(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-2) - -2) + 3. Solve -2*f + 5*r + 33 = m, f - 4*r - 14 = -2*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15*q + 6. Let p(h) = 23*h - 9. Let d(f) = 5*p(f) + 8*s(f). Suppose -4*n - 22 = c, -5*n - 40 + 2 = 3*c. Is d(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1005140083 to 3 decimal places.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*o + 26 - 46 + 21)*(-57 + 121 - 49).\nAnswer: -1395*o + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 199, 292, 401, 532, 691, 884, 1117, 1396?\n\"Answer: i**3 + 2*i**2 + 80*i + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - 2*b - 2 = 0, 3*b = 3*k - 3. What is the nearest to k in -3, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 557700 divided by 1650\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -11*p - 16. Let v = -1.3 - -0.3. Let u be 15\/(-20) - 3 - -4. What is the nearest to v in p, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300300 (base 5) in base 11?\nAnswer: 7111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*w + 6, 5*w + 2 = u - 2. Let o be (-16)\/(-14) - (u + 2). Which is the second biggest value? (a) 1 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5779, 23098, 51971, 92404, 144403, 207974, 283123?\nAnswer: 369856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(11) + 0 + (sqrt(11) - ((sqrt(121)*-1)\/sqrt(11))**2)).\nAnswer: -18*sqrt(11) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 - x - 1. Let h(j) = 12*j**2 + 3*j + 3. Give -6*h(p) - 17*u(p).\nAnswer: -4*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105137327 - -0.6.\nAnswer: 105137327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f - 10 = 0. Let p(o) = o**2 + 4*o - 1. Let q be p(f). What is the greatest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:38 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 5:21 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1902*20\/(-60) + -1 + -1. Suppose -26 = p*c - 645*c. Solve 3\/2*a**c + 3\/4*a**3 - 6*a + 0 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98354 and 6.\nAnswer: -590124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.42 - 1.49. Let w = 7.77 + m. Round w to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5*x = -2*f - 848, -5*f - 2*x = -1060. Suppose 2*o = -f + 558. Let c = o - -158. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -485 (base 16) to base 7.\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 129903, 129873, 129839, 129801, 129759?\n\"Answer: -2*g**2 - 24*g + 129929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7080 divided by 236\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3) + (-2 - -4). Let l(c) = c**2 + c. Let h = -2 - -3. Let f(t) = -4*t**2 - 6*t + 7. Let z(k) = h*f(k) + 5*l(k). Give z(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 + -0.5.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*m - 15*u + 3*u, -3*m - u = -0*m + 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 7*d - 7. Let j be v(5). Let q be (5\/(-3))\/(-5)*j. Solve -14 - q = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 8. Let p be 16\/6 + u\/(-6). Suppose 4*f = -k - 11, -3*k - f - p*f = -7. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {d: 4, q: 2, h: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**4\/4 - 101*y**3\/3 + 305*y**2. Let t be b(-34). Sort -16, t, -2.\nAnswer: -16, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (0 + -1 - -1). Let u = s + 4. Suppose r = -u*r + 381. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -66.1, -1, 1.8 in decreasing order.\nAnswer: 1.8, -0.3, -1, -66.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 3.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 14.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/6 - 2*w. Let u(f) = 8*f - 12. Let s(g) = -42*g + 56. Let j(d) = -3*s(d) - 14*u(d). Determine n(j(r)).\nAnswer: -392*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-28))\/(926\/14816).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -377*r**6\/30 - r**5\/4 - r**4\/12 + 720*r**3 - 9794*r. What is the second derivative of l(k) wrt k?\nAnswer: -4524*k**2 - 30*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u = -79*u - 88*u + 249*u + 476 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1716 + -8742?\nAnswer: -a358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4 + 4. Suppose u*z + p - 36 = 0, 4 = -z + 8*p - 3*p. What is the remainder when 29 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626815411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5)*f**(6\/11))\/((f\/(f\/f**(-7)*f))\/(f\/(f*(f\/(f*f**(-2)))\/f))) assuming f is positive.\nAnswer: f**(459\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 722 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17441 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*l + 11, y - 6*y + l + 14 = 0. Let o be ((-2)\/(-4))\/(y\/(-6)). Let m(h) = -h**3 + h**2 + h. Let v(b) = b**2 + 2*b. Determine o*v(w) + 2*m(w).\nAnswer: -2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 15) to base 3\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110551 (base 6) in base 7?\nAnswer: 36031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 22. Let u(h) = 3 + 6*h**2 - 4*h**2 - h**3 + 5 - 4 - 5*h. Let k be u(2). What are the prime factors of r(k)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 122*x - 120*x - 126*x + 467*x - 132*x to the form w + p*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333900 and 2052225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6429 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 13, 15, 17, 19, 21?\n\"Answer: 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -8*a. Let z be 2\/a + 17\/3. Suppose 23 = 3*k - 2*p, z*k - 51 = -2*p - p. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 24. Let y = -0.1 - -63.1. Let l = 59 - y. What is the closest to 0 in l, -0.06, i?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23851943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -53*s**4\/2 + 3948*s**3 + 16155*s**2\/2 + 151*s = 0.\nAnswer: -2, -1\/53, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s**2 - 8*s + 15. Let w be j(13). Suppose 0 = 4*i + l - 0*l + 16, 4*l + 1 = 5*i. Is 1\/(i + (-7370)\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*z + 12, f - 6*f + 3*z + 7 = 0. Let o be f - (-3 - (2 - 4)). Suppose -i = -o*i - 2. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477100167.\nAnswer: 2383, 619849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*c = -10, -2*c = -3*m - 0*c + 10. Calculate the least common multiple of (-80)\/(-14) - (-4)\/14 and 89\/13 - m\/(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 15 (c) 0.031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6133 + -5?\nAnswer: -6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 52.21004 nanograms?\nAnswer: 0.05221004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (156\/9)\/(-13)*11\/968. Which is smaller: d or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8142 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4 + 6*a - 3*a - 2 - a. Let m be 5*(8\/5 - 2). Give d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 1\/6 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 (base 10) in base 7?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 275*g - 3870 = 0, -2*r - 80 = -54*g + 59*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n = -158. Let m be (-1036)\/(-24) + (-1)\/6. Let l = n - m. Calculate the remainder when l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 1\/12*a**4 + 2*a**2 + 0*a + 1\/12*a**5 - 1\/6*a**3 + 0. Let f(b) = b**2 + 8*b + 8. Let q be f(-1). What is m(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 3*q**2 - 2. Let s(b) = 5*b - 2*b - b. Determine s(v(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -334110 divided by -86?\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:56 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/3 - k**2. Let n(s) = 16219*s**2 - 8109*s**2 - 8113*s**2. Calculate o(n(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27186 and 7486?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/((-260)\/464)*10. What is the highest common divisor of 58 and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260 - 162. Solve 13*d + m = 33 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.424*-0.3.\nAnswer: -0.1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:03 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6739 (b) 0.5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063725195 rounded to 7 decimal places?\nAnswer: 0.0000637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37632177.\nAnswer: 3, 11, 463, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*d + 221*d**3 - 83*d**3 + d**2 - 137*d**3 to the form j*d + t*d**3 + z + i*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.28 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1) + (-2 - -74) + 12 + -49.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42662876941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50478 and 9277.\nAnswer: -468284406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2580 and 181\/1337730?\nAnswer: 2675460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f - 5. Let l(c) = -37*c - 15. Let r(x) = -17*i(x) + 6*l(x). Let o(z) = -1. What is 30*o(b) - 6*r(b)?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 + -172. Let x(o) = -13*o**2 - 20*o**2 + 32*o**k. Let l(f) = -25*f**2. Calculate l(x(i)).\nAnswer: -25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4898*c**3 - 8 + c + 21 - c - 4872*c**3.\nAnswer: 26*c**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 321295563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Which is the third biggest value? (a) -1\/2 (b) -1.9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.5846 and 0.\nAnswer: -1.5846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:18 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 7, m: 2}. Give prob of sequence ha.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgg when three letters picked without replacement from {g: 2, r: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -517, -8, 1 in descending order.\nAnswer: 1, -5, -8, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 54. Let r(z) = -2*z + 51. Let x(q) = -4*i(q) - 3*r(q). Let k(h) = -4*h. Determine x(k(v)).\nAnswer: -8*v + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Let q(a) = a**3 - 4*a**2 + 5*a - 2. Let k be q(i). Suppose -k*l - 5 = l. Is l greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9966422 is divided by 488.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 27 = -5*w, 0*w + 2*w - 9 = l. Is 5 a factor of w*325\/30*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 6, x: 4}. Give prob of picking 3 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(891)*2 + sqrt(891)).\nAnswer: 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.1 (b) -33 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 6. Let d be h(3). Let j(r) = d*r**2 + 2359 - 3*r - 2355 - 4*r**2. Calculate j(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 13274?\nAnswer: -929.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9744870 and 138?\nAnswer: 9744870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858893 is divided by 429444.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*8\/28 + 7\/(-3). What is the fourth smallest value in y, 3, -0.3, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.769 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:31 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -7*f**5 - 199*f**4 + 3714*f**3 + 19336*f**2 + 14656*f - 15360 = 0.\nAnswer: -40, -3, -2, 4\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -275 - -432. What are the prime factors of d?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-26)\/d*d\/d**(-28)*(d**(-2\/55)*d*d)\/(d\/d**(22\/3)) assuming d is positive.\nAnswer: d**(1699\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 188*d**2 + 3370*d + 1383. Calculate s(-168).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83)\/((-12948)\/(-6903))*(3\/18)\/((-4)\/(-32))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-330*j + 141*j - 237*j)*(10 - 8 - 4*j - 5*j) to the form s + o*j + k*j**2 and give o.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93936493, -187872984, -281809475, -375745966, -469682457, -563618948?\nAnswer: -657555439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2029, -2264, -2655, -3202, -3905, -4764?\n\"Answer: -78*z**2 - z - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:44 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*x**2 + 3*x**3 - 6*x**2 - 6*x**4 - 13*x**2 + 3*x in the form y*x**4 + k*x**2 + h*x**3 + z*x + o and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {w: 1, a: 6, c: 3, r: 2, h: 1, x: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84451296 by -21112824.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 23*m - 3 = 0. Find the second derivative of 20 - 15 + 0*f**4 + 2*f**3 + m*f + f**3 + f**4 wrt f.\nAnswer: 12*f**2 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 + -1 - -4. Let z(v) = 6*v**2 - 4*v + 2. Let w be z(1). Solve 0 = -2*x + c + 6, -t*c - 1 = w*x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6 + -2)*(-16)\/((-10240)\/(-30))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + r = 12*h - 12, -2*r + 3 = -h. Let w(c) = c**3 + 6*c**2 - 8*c - 4. Let p be w(-7). What is the highest common divisor of p and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(133)\/sqrt(7) + 0) - (0 + sqrt(1539)))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3647 + 3650. Let j(q) be the second derivative of 0*q**2 + 0 + 0*q**r + 5\/6*q**4 - q. Let t(p) = -3*p. Determine j(t(i)).\nAnswer: 90*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/(3\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15563 + -7768. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + -2 + sqrt(17) - (-1*sqrt(1088))**2) + 3.\nAnswer: -1087 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-3\/4)*z**(-1\/18)*z\/(z*(z*z**8)\/z) assuming z is positive.\nAnswer: z**(-317\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 51*f - 1. Let c(g) = 51*g - 1. Let x(w) = -3*c(w) + 4*j(w). What is the remainder when x(2) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/9, 73, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7*s = 4*s + 12, -3*q + 14 = 5*s. Is ((q - -81) + 1)*4\/5 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -28*p - 84. Let w be j(-3). Suppose 7*v - 20382 - 7667 = w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -14 (b) 0.08 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8025, -10006, -11987, -13968, -15949, -17930?\n\"Answer: -1981*o - 6044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 151 - 4*x - 1\/4*x**4 - x**3 - 3\/2*x**2. Determine k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11349?\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + -6 + (-3300)\/(-204). Which is the second smallest value? (a) 2 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 24*l**2 - 145*l + 14. What is the smallest common multiple of 1\/((-2)\/(-14 + -2)) and u(29)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -235.6 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/4 (c) 0.14 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17590333 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/20 + -3\/5. Let o = 3 + 0. Which is the second biggest value? (a) o (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00403918 to 4 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 228.088624 + -136.088663. Let k = 92 - j. What is k rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211936 - 956*w**2 + 1522*w**2 + 211936 - 1162*w**2.\nAnswer: -596*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 44 - 16. Let f be z*((-1)\/2 + 1). Solve f = 4*v - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 37. Let c = l - 16. Suppose -3*q + c*q + 4 = 5*h, -8 = q - 3*h. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:34 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1222*w = -6831 + 26383 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2460 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 - 2*q**3 + (-2*q + q + 2*q)*(-q + q - q**2) + 5*q**2 - q - 5*q**2 + q**3 + (178 + 47 - 102)*(-3 + 3 - 1)*(-2*q**3 + 0*q**2 + 0*q**2).\nAnswer: 244*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 732 = -12*f + 5*l, 0 = -f - 5*l + 702. What is the smallest common multiple of 2151 and f?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3384988.\nAnswer: 2, 846247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 643369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/(140\/525).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(-4 + -2*sqrt(931) + sqrt(931) + sqrt(931)))**2*5.\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 - 34*m + 28. What are the prime factors of j(6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 3. Let k be n\/(-3) - (3 - 0). Suppose -2*f + 36 = k*b, -f = 2*f + b - 54. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**1*s)**(-1\/9))**(4\/3))**(-22))**(-48) assuming s is positive.\nAnswer: s**(-2816\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 11*w + 183 = 0, 4*s + 4*w = -665 + 717 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 + -3.3. Let y = 1.85 + 0.15. Sort -7, h, y in decreasing order.\nAnswer: y, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233086 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, 70, 4 in descending order.\nAnswer: 70, 4, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3*l + 4)*(54 - 42 - 53 - 90).\nAnswer: -393*l - 655","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1 + 336*r - 695*r + 922*r + 372*r. Let j(d) = 2*d. What is k(j(v))?\nAnswer: 1870*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)\/t)\/t**(1\/4))**6\/((t**(-1)\/t)**(-21\/4))**42 assuming t is positive.\nAnswer: t**(-969\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8420131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 24*w - 6 + 13 = -5*y + 24, 4*y + 4*w = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 18164*q**2 + 6*q + 6. Suppose 2*j = -a + 1, 5*j - 13 = a - 2*a. Let d be o(a). Round d to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 4258?\nAnswer: -8516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 102060024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135703.\nAnswer: 97, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*y - 88*y + 105 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:30 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 852*l*t**2 + 1079*l - 14829*t**2 + 31*t wrt l.\nAnswer: 852*t**2 + 1079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i**2 + 13*i**2 + 13*i**2)*(-4 + 12 + 55*i - 6) as k + p*i**3 + b*i**2 + q*i and give p.\nAnswer: 1815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 45\/2 (c) 2 (d) 213\/4 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 20*j**2 - 35*j - 182. Let d be i(14). Calculate the greatest common factor of 54 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 3*o**4\/4 - o + 1. Let a be m(1). Let q(j) = -7*j**a - 5 + 5. Let g(t) = 2*t. Calculate g(q(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638091?\nAnswer: 7, 13, 47, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7916496.4 to the nearest 100000.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:21 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.7. Let x be -5 + (164\/40 - -1). Let k be (-10)\/8*(-12)\/(-20). What is the biggest value in x, k, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6302285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28 - 294*c**2 - 4*c - 422*c**2 + 5 + 7 + 165*c**2 wrt c?\nAnswer: -1102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56700 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 51\/(-9))*9. What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110600 and 193550?\nAnswer: 774200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-3)\/6*-2. Let b = g - -2. Suppose 5*h + q = 9, 1 = b*h - 2*q - 5. Does 2 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppphphp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 32 + -103 + 86?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/(-20) - 5 - (-16)\/10. Let b = 4 + -7. Let g = b - -3. Solve -c*o + 0*o + 10 = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*r - 50*r**2 + 5*r**3 + 179 - 70 + 43 - 11*r + 118.\nAnswer: 5*(r - 9)*(r - 3)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -672.765 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p - 4*p + p)*(1 + 7 - 7) - 50 + 10*p + 0*p + 49)*(-4 - 1 + 6) in the form y*p + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 3*r**2 + 3646*r**3 + r - 1810*r**3 - 1827*r**3.\nAnswer: 9*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1248\/(-18)*(-153)\/17. Let l = -1 - -3. Suppose 5*p - m = l*p. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*x - 1 = c + 59*x, -5*c = x + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, s: 1, y: 3}. What is prob of picking 1 y and 1 f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081656?\nAnswer: 2, 3, 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9503 divided by -17?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 - 48\/(-10). Suppose -3*f - 5 = -y*x + 10, f + 5*x = -25. Which is greater: -12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/23)\/d)\/d**13*d\/((((d\/(d*d**(-6)*d))\/d)\/d)\/d)*d**(-2\/33)*d*d)**(-20\/9) assuming d is positive.\nAnswer: d**(181760\/6831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 278*o + 131*o - 59*o + 81*o + 1. What is the remainder when x(2) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:12 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*13\/(3510\/36)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 - 12536*o + 12536*o.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 5 = 7*i. Let d be 5*-2*2\/10. Is 2 + i*d - -37 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 5*u - 4. Let y be v(-4). Suppose -2*g - 2*g = y, 4*g + 23 = 5*i. Find the third derivative of i*b**2 + 20*b**3 + b**4 - 20*b**3 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 16*w = -21. What is the remainder when 32 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 840 - 839.99296. What is w rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 0.2 (c) -6\/5 (d) -2\/9 (e) -180.6 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:30 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 2*a - 5*a. Suppose 130 = a*f - 30*f. Let h = 68 + f. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3310)\/(-16) + (-28)\/(-224). Let k = -205 + m. Solve j + 5 = k*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 15) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/8)\/((-4)\/16). Sort 4, w, 16 in descending order.\nAnswer: 16, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1133*k = 1134*k - 43, -5*g - 4*k + 67 = 0. What is the highest common factor of 81 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyybyybbyybyb. Give prob of picking 1 b and 3 y.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -54*i + 1 - 5 + 43*i. Let l(a) = a + 1. Let s(q) = 5*l(q) + p(q). What is s(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 22*v**3 - 3*v - 3. Let k(t) = 14*t - 43*t**3 + 6735*t**2 - 6735*t**2 - 9*t + 5. Give 3*k(p) + 5*r(p).\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 809 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*l. Find the second derivative of -10*m**2 - m - 4*m**l + 10*m**2 + 5*m**4 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (112\/24)\/((-1)\/(-3)). What is the greatest common factor of i and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*z**2 - 2230*z + 135984 wrt z.\nAnswer: 20*z - 2230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 + -264.6. Let z = b + 83. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlqvluqxllfllvuq. Give prob of picking 2 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + -4 + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from oosdownon.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 591 (c) -104 (d) -1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (1 - -27 - (-27 + 35))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 3, 1\/7, -201, 102, 2\/5, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 - 68\/(-18). Suppose 2*q = -5*a, q = -4*a + 8*a + 13. Which is bigger: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3. Let o(n) = -n. Calculate 2*o(l) + v(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -149*o**3 + 5*o**2 + 7*o + 2. List the prime factors of z(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 53 = 4*t + 5*b, -t - 3*b = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - -1 - (-16 + 14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f = -3*i - 2, 4*f + 22 = 3*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*v**2 + v - v - 64*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88)\/(-12)*42\/77. Let p be ((-108)\/396)\/((-6)\/z). Which is the third smallest value? (a) -1\/8 (b) p (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3825 by -17.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(3 + 12\/(-3) - 0). Suppose 0 = -z + q. Let y be (-57)\/(-6) - 2\/4. Solve -2*s = -y + z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2844138 rounded to the nearest one thousand?\nAnswer: -2844000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 17 = -5*f. Let x = -8 + f. Suppose -3*c + x = 2. Solve 4*o + c*o + 8 = 4*v, -3*o = -4*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 369 = 423. Suppose 5*o - 109 = -9. What is the lowest common multiple of u and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*p + 29. Suppose -3*o + p = -4*x, 4*o + 2*x = -3*x + 10. Suppose -3*u - 782 = -o*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3444 + -1968. Let f = j - 1482.57. Let r = -0.17 - f. Round r to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5982837437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddhdhdh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110509323 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*q + 137*q + 121*q + 377*q + 585*q.\nAnswer: 1028*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124313 + -42?\nAnswer: 124221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 19. Calculate the remainder when o(16) is divided by (-1)\/((-2)\/(1*46)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/75 + -1 + -1. Is (j + 3)\/((-32)\/(-16096)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 15*i**2 + 27*i - 26. Let d be r(13). Let a be (2\/(-3))\/((65\/60)\/d). Let k(f) = -f**3 + 9*f**2 - 11*f + 11. Give k(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 20494*x - 175.\nAnswer: 20494*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 + 341503?\nAnswer: 342142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1130)\/15)\/((6\/(-9))\/1). Solve -x = k - 111 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + z. Let g(a) = -6*a**2 + 4*a - 2. Let q be 1\/((-172)\/44 + 4). Suppose q = -h - 0*h - 3*r, 0 = 3*h + 4*r + 13. What is h*g(y) - 4*k(y)?\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 20750496?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-671)\/429)\/((-207)\/(-5382)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**47\/(t*((t*t**(2\/5)\/t)\/t)\/t)**(1\/5))\/(t*t**(1\/8)\/t*(t**(2\/13)\/t)\/t)**(-28) assuming t is positive.\nAnswer: t**(-157629\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 4 - 2*k**4 - 4*k**2 - 4*k**3 + 4.\nAnswer: -2*k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-1)*r))**(-13))**(1\/10))**10 assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187*u + 17 = 2188*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10071 - 1181 + 22*n**2 + 19*n**2 - 62*n**2 + 20*n**2.\nAnswer: -n**2 + 8890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - b?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -447 - -450. Suppose -1610 = -5*h - 5*z, 2 = -z - f. What are the prime factors of h?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11606793 minus 651.17?\nAnswer: 11606141.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5\/7 - 552*z**4\/7 - 55484*z**3\/7 + 5142432*z**2\/7 + 347151424*z\/7.\nAnswer: 4*z*(z - 137)**2*(z + 68)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + n - 4*n)*(6*n - 8 + 8) + n**2 - 4*n**2 + 0*n**2 + 2*n**2 + 4*n**2 + 0*n**2.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 - h - 17. Let x(y) = 17*y**2 - 2*y - 35. Determine 13*d(p) - 6*x(p).\nAnswer: 2*p**2 - p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 6733*v + 761071. Give x(-115).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v - 20. Let d be p(3). Suppose d*j - 31*j = -1341. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p + p + 14*p in the form l + w*p and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 + 2*t - 5. Let b be m(-4). Suppose -6*j = 5 - 17. Suppose 0 = j*p + b*p - 115. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 9*z**2 - 22*z + 2. Let a be i(11). Find o, given that -28*o**3 + 16*o**3 + 17*o**3 + 55*o**a = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1828*c**3*j**3 - c**3*j**2 + 7*c**2*j + 290*c*j**2 + 4*c + 4195*j**3 + j - 4 wrt j?\nAnswer: -10968*c**3 + 25170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 1\/2*h**3 + 0 + 0*h**2 - 1\/120*h**5 - 1\/24*h**4 - 12*h. Let o(s) be the second derivative of x(s). What is o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 19 = -2*t, -30145*t + 30140*t + 4*i - 5 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 185*d + 8433. Give q(88).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43222 + -14873. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10844025 and 109825.\nAnswer: 4775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 5. Let t be m(5). Let d be (4 - 4)\/(-2 + t). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f**3 - 199*f**2 + 471*f - 320. Let b(n) = 8*n**3 + 104*n**2 - 236*n + 160. Let d(m) = 7*b(m) + 4*p(m). Let d(h) = 0. What is h?\nAnswer: -20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(180) - (sqrt(180) + 1))*-2 + (sqrt(135)\/(3*sqrt(3)) - sqrt(45)))**2.\nAnswer: -8*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 4*j + 1188, 0 = 2*m + 3*j + 2409. Let b = -821 - m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*k + 160, -3*k = -11 + 26. Calculate the highest common factor of m and 3315.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -540 and -1182043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44644, 89221, 133678, 177955, 221992?\n\"Answer: -10*l**3 + 44647*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 2. Let k(i) = 2*i + 3. Let s(y) = 8*d(y) - 3*k(y). Calculate s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 402*h**3*u**3 + 290*h**3 wrt u?\nAnswer: 1206*h**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5446 = 12*p - 586. Let v = p + 420. Solve 22*j - v*j = -35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -530, 7, -5, -4, -24.\nAnswer: -530, -24, -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-52) + 21\/4. Suppose 0*n = 2*n + 3*m, 3*m = n. Let h be (0 + n)*1\/(-2). Sort r, -3, h in increasing order.\nAnswer: -3, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98f4a (base 16) to base 14\nAnswer: 124466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -37. Solve 3*o - 15 = 0, j - 4*j - 4*o + 14 = i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 8, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0673993028 and -0.87.\nAnswer: -0.8026006972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 20 = -0*i - 5*g, -i - 10 = 5*g. Calculate the remainder when 27 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-6)\/9) - (1 - 2). Let c(h) = 2*h**2 + 2*h - 2. Let r be c(l). Solve 15*g**r + 125*g + 4 + 1 - 105*g = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 30 = 5. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-714)\/(-147))\/(28\/98)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -346?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -106.2. Which is the closest to -0.3? (a) v (b) 2 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 2, g: 1, n: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:11 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:06 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*g**2*k + 547*g**2 - 9*k wrt k?\nAnswer: -42*g**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 - 10120184*f\/7 + 10120183\/7.\nAnswer: (f - 10120183)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2b8936?\nAnswer: -2b8939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 4. Let y = 120.4 + -122.4. Which is the closest to 0? (a) 0.5 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s**3 - 7*s**2 + 9. Let c(p) = 6*p**3 + 4*p**2 - 5. Let q be (-74)\/8 + 1\/4. Let k = q - -16. Give k*c(b) + 4*f(b).\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -712a83 (base 11) to base 2.\nAnswer: -100010111110001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.5 + -1.1. Let k = -2.4 + t. Suppose 0 = 2*h - 4*d + 12, -h + 3*d - 3 = 4*d. Which is the nearest to 1\/4? (a) 0.3 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at most as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 48. Which is the nearest to -1\/3? (a) 4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 252 = 3*o, 4*o + 83*b - 80*b - 314 = 0. Solve -o*n = 34*n - 864 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2\/9, 3977182 in ascending order.\nAnswer: -5, 2\/9, 4, 3977182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9836 + 2338 = -3*d - 5*z, 4*z = -5*d + 12475. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 483460 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3672 divided by -2035\nAnswer: -3672\/2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 2, r: 2, x: 1, u: 1}. Give prob of sequence rbub.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 392179478 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8666, -6621, -3212, 1561, 7698, 15199, 24064?\n\"Answer: 682*r**2 - r - 9347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 2 (c) 292\/33 (d) 1 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22326604 rounded to four decimal places?\nAnswer: 1.2233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1240 and 465?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8370 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f - 0. Let v(r) = 6 - f - 7*r**2 + 8*r**2 - 5*r. Give v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 12:31 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from mrbrabrababqrumbam?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6138998 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44234851 + 87.\nAnswer: -44234764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -1. Calculate the lowest common multiple of 3 + 0 - (-2)\/(-2) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuxj when four letters picked without replacement from uxxjukxjkxuxujj?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 777\/22 + -765\/22. Suppose -8 = 2*g - 2. Which is the closest to -1? (a) -0.5 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.05, 0.45, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*a = -6*a, a + 12 = 2*q. Let g(f) = -f**3 - 5*f**2 + 6*f. Let s be g(-6). Suppose k + 228 = n - 30, q*n + 4*k - 1024 = s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15682.846 to the nearest one hundred.\nAnswer: -15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1175481*a - 3238825?\nAnswer: -1175481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7 = -5*o, -3*c + 0 - 1 = -4*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1271d + 2c?\nAnswer: -126d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4898 and 793634.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 296*q**4\/9 + 17962*q**3\/3 + 310268*q**2\/3 - 155903104*q\/9 - 2458624\/3 = 0. Calculate q.\nAnswer: -112, -7\/148, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, a: 1, c: 1, k: 3}. Give prob of sequence lkac.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(-b - b + b) - 24*b + 9*b - 93*b + (0*b - 3*b + b)*(-1 + 3 - 1))*(1 - 4 + 4)*(-b - 3*b**3 + b).\nAnswer: 336*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose -o*h + 22 - 1 = 0. Suppose g = -y + 4, -h*g + 3*g - 2*y = -6. Are 1\/10 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v + 105. Let b = v - 18. Solve 1 + 4 = -b*o + d, 4*d + 6 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3181 + 3183. Which is the nearest to x? (a) -18 (b) 0 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -4, 2\/7, 400?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 6*i - 3*i - 4*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -71002 < 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 11 - 15 + 26 = 4*h, -9 = -3*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 2\/3*y**3 - 13*y**2 + 26*y + 0 + 3\/4*y**4. What is the derivative of r(c) wrt c?\nAnswer: 18*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 - 16*p**2 + 6*p + 20. Let l be r(-5). Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(896) - (sqrt(896) - (-1*sqrt(896) + sqrt(896))))\/(sqrt(288)*-2) + 2*(sqrt(7) - 1*sqrt(7))*-3*2 + 2))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(72)\/(sqrt(4)*-1))\/sqrt(6) - sqrt(33)\/(-2*sqrt(275)))**2.\nAnswer: 729\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 595733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2215, -4433, -6653, -8875, -11099, -13325?\nAnswer: -15553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1732*i**3*j + 417*i**3 + 4*i**2 wrt j?\nAnswer: 1732*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14*1)\/(84\/(-168)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-39 - -25) + 1 + 16 - -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11736 - 11721. Let j(z) be the third derivative of 0*z - y*z**2 + 0 + 1\/3*z**3 + 1\/2*z**4. Find the first derivative of j(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 909 + 548 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -82. Let n(o) = 2*o - 3. What is n(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-5))\/((-4120)\/41200)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f + 1 + 6*f - 7*f.\nAnswer: -21*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 13. Let q = t - 9. Solve -q*k + 20 = -9*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -730 at most -22596\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 3*o. Let q be s(4). Suppose -q*j + 26 = -h - 36, -3*j - 5*h = -35. Let v(r) = -2*r - 6. What is the remainder when j is divided by v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*i + 27*i + 78. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -260\/7 and -38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2287.4 and -46.\nAnswer: -105220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 819 divide 1035882128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = 28*s - 25*s. Suppose -8*t + s = -4*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6175 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22a46 (base 15) to base 9.\nAnswer: 177283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8269 + 0.9269. Let x = -3.03 + 0.03. What is the closest to x in u, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*l - 2273581 = 0, -2*l - 126 + 112 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + 3 - (22 - 20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1205545?\nAnswer: 1205551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683887?\nAnswer: 683887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4866435 and 331050?\nAnswer: 48664350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 1676?\nAnswer: 11732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -5345, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 2*f**4 - 4*f**3)*(-68 - 22*f - 3*f + 69).\nAnswer: 50*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -0*l - 5*l. Let f = 13 - l. What is the common denominator of (-71)\/f - 20\/70 and 93\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(10)*-1)\/(sqrt(350)\/sqrt(7)) + 2)**2.\nAnswer: -24 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 0*s + 3*s)*(7*s - 4*s + 3*s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 379.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 311112.\nAnswer: 311112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -70\/9 (b) 2\/5 (c) -4 (d) -0.1 (e) 23\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let g(i) = 5*i + 42873. Give r(g(b)).\nAnswer: -10*b - 85746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -972 + -45a?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143982 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101.5 + 106. Let r = -0.11 + 5.11. Let t = s - r. Which is the biggest value? (a) t (b) -0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 59*p - 13. Let n(l) = -l**2. What is b(n(i))?\nAnswer: 2*i**4 - 59*i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*k + 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**2 + 330. Let v be m(0). Let d = v + 3103. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 182*w + 735. Determine d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.97139047 rounded to 4 dps?\nAnswer: -3.9714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5296 + 5295 + 1720*a - 10591.\nAnswer: 1720*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o. Let c(x) = 49452*x. Determine c(g(w)).\nAnswer: 346164*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Let g = h - 0. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11133 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d - d**3 - 4*d**2 - d**2 + 5*d**2 to l*d**3 + k*d + f + x*d**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (3 + 4*sqrt(704) - sqrt(704)))**2 + 5.\nAnswer: 192*sqrt(11) + 11278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*f**2 - 31933*f**3 + 31933*f**3 + 34*f**4 wrt f.\nAnswer: 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -254525?\nAnswer: 254525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33798.3506 and 0.0314.\nAnswer: -33798.3192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 139\/5. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4146332 is divided by 998?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.6783 rounded to one dp?\nAnswer: 984.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - 5) + (1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 273 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) -2 (b) 1 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/30 and -26\/63?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 + 56*p**2 - 166 - 58*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159*p*v**3 - 5*p*v**2 + p*v + 477*p - v**4 + 30*v**2 + 4*v + 1 wrt v.\nAnswer: 954*p*v - 10*p - 12*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.635 and -0.02.\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59488080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d. Suppose 5*s + 13 = 3*o, 5*o - 1 = -2*s - 0. Let h be z(o). Let v be 77\/(-22) + h\/(-2). Which is bigger: v or -7\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:07 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2. Let g(x) = -288*x + 5. Determine g(r(j)).\nAnswer: -288*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 23*m - 96 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081719 to the power of 1\/2, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-196)\/(-21) - -2)*(2 - -1). What is the highest common divisor of v and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -1.14. Let k = w - 0.7. Which is the closest to -1\/3? (a) 0.5 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.28, 4, -1\/4?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*k - 249*k + 858 = 217*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645.8455 days to microseconds.\nAnswer: 55801051200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 6*g)*(1 - 2*g - 1)*(-4*g + 4*g + 2*g**2) + 2*g**4 - 2*g**4 + 2*g**4 + 3*g - 3*g + 3*g**4.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -4. Suppose -3 - 3 = -b + 2*v, 0 = 5*b - 3*v - 23. Suppose -b*a + j + 6 = -2*a, 3*j = -2*a - 10. What is the second biggest value in 2\/11, c, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*q = -105, -3*s + q = -5*s + 51. Let l = s + -14. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6388 is divided by 888.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 2*s + 2. Let t = -1 - 1. Determine x(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/30277 - -160180\/333047. Let f = k + -4700\/13651. Let a = 3617\/292 - f. Find the common denominator of -91\/6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 5*d - 8*d - 3*i, -i + 0 + 30 = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -98, -91, -92, -101?\n\"Answer: -4*v**2 + 19*v - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2381*0.5\nAnswer: 0.11905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -3b7e9e?\nAnswer: 3b7e9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aal when three letters picked without replacement from aalaamssmalalas.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-63))\/((-130)\/(-90))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2817360482 rounded to 4 dps?\nAnswer: 0.2817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 7. Let j be f(7). Let m be (-12)\/6 + (57 - j). Calculate the highest common divisor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(288) - ((3 + sqrt(18))**2 + 3).\nAnswer: -31 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10548921 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 4)*(k**2 + 0*k + 0*k) + 6*k**2 + 0 + 0.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -682 + 3603. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 18. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 6 + 11 + 4 + 2*q**3 to w*q**3 + s*q + a + p*q**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -0.3, 0.4, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -39*g + 200. What is the tens digit of u(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8*19\/(-1748))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - b = -16, 14 = 4*f + 5*b - 3*b. Suppose -2*v + 1 - f = d, 2 = -v. Find the third derivative of -3*a**5 + 4*a**d - 19*a**3 + 19*a**3 wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:10 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2102, -6987, -11872, -16757?\nAnswer: -21642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12677.09489 rounded to the nearest 100?\nAnswer: -12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -244 and -0.04961849.\nAnswer: 12.10691156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 19*i + 17. Let k(m) = -m - 1. Let c(v) = -v**2 + 13*v + 12. Let j(a) = c(a) + 4*k(a). Let x(w) = 2*h(w) - 5*j(w). Give x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22816\/(-992) - -25*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 5. Let p = 1 - -8. What is the tens digit of d(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (115*1\/(-4))\/(101\/(-404)). Let x(v) = 2*v**2 - 4*v + 4. Let d be x(-5). Let s = p - d. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 3465342 - 481416 = 0. Suppose -3*w = 5*v + w - 678171, 0 = 2*v + w - z. Let o = 26231 - v. What is o rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:44 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 4, 14, 38, 82, 152, 254?\n\"Answer: s**3 - 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8235799 - -0.2.\nAnswer: 2.0235799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 54129\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*y + 112*y + 1487. Let b = y + 2958. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*x - 70 = 0, -x - x = 5*h - 61. Calculate the lowest common multiple of 4 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -35*t. Determine d(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 9, -133, 0, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 547, -5, 2\/3, -3\/227, 3\/8?\nAnswer: -3\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 168*c + 11. Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/2105580 and -1\/42?\nAnswer: 14739060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/4 + 59*z**3 + 4297*z**2 + 96288*z + 665856.\nAnswer: (z + 16)**2*(z + 102)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 69*r**2 - 2*r - 3. Calculate w(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 7*w - 20. What is x(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14899, 15008, 15117, 15226, 15335, 15444?\n\"Answer: 109*v + 14790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + c + 11 = 0, -5*d = 5*c - 35. Let f = 5 - d. Suppose 15 = -f*l + 3*l. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 68577.51kg?\nAnswer: 68.57751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6391 and 0.03?\nAnswer: 6390.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-4 + 2 + -1). Suppose b = -5*l + 7. Determine i so that -17*i**2 + i**5 - 2*i**3 - i**4 - l + 0*i**4 + 19*i**2 + i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39713 or 38727?\nAnswer: 38727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*u + 11973972*b**3 + 1456*b**2*u + 332*b*u - 2*u wrt u?\nAnswer: -b**3 + 1456*b**2 + 332*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddoddoodeedddd. What is prob of sequence de?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 129, 1\/2, 2, -4, -2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30744 and 3107706.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = -32. What is the least common multiple of 2\/c - (-34)\/8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - 23721*d - 5. Let b(f) = -3*f. Calculate o(b(z)).\nAnswer: 27*z**2 + 71163*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 864*r**5 - 1038*r wrt r.\nAnswer: 17280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7478 - 28509 - 92735 - 90894 + 20280)*(o**3 + o**4 - o**3) in the form b*o + v*o**4 + a*o**2 + n + m*o**3 and give v.\nAnswer: -184380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6501 + -6498. Let v = 18 + -13. Which is the closest to -10? (a) -1\/4 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -7*r. Let j(f) = 12*f + r + 6 - f - 4. Let p(s) = -4*s - 1. Give 3*j(y) + 8*p(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 148*u = -152*u - 64, m = 2*u + 17. Solve 16*b - m*b + 5*n + 5 = 0, -5*b + 27 = -n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.979 - -40. What is a rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 + 73 + -138 + -41?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27040, -27040, -27038, -27034, -27028, -27020?\nAnswer: -27010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/(-3)*10. Suppose s + 6*b - b = 714, z*b = -5*s + 3670. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 12 - 42. Let z(k) = -11*k + 11*k + 1 + 2*k + 0*k + 5*k - 3*k. Give z(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317 - 181. Let s(v) = -2*v - 3. Let n be s(-3). Suppose -k + 2*b = -6 - 1, 3*k + n*b = 66. Calculate the greatest common factor of k and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o + 6. Which is the closest to o? (a) -0.4 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 - -173 - (-9 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 2)*(51*n + 6 - 12 + 6 + 107*n) to i*n + a and give i.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67797 = 107*r - 146417. What are the prime factors of r?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzqznzjnzznnknjq. What is prob of sequence qzj?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7916 + -7912. Solve 21*z - 24*z = 3*c + 15, -14 = y*z - 2*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 6*m - 10. Let z be b(-4). Let l be ((-4)\/(-10))\/(z\/(-55)). Find the third derivative of 5*v**2 - 6*v**5 - v**5 + 11*v - l*v wrt v.\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + -1*(-380)\/4. Suppose 0 = -g - 85 + j. Solve -2*f = g*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7344, 7352, 7364, 7380, 7400, 7424?\nAnswer: 7452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 + -3.89. Let y = n - -5. Let s = 1.04 - y. Round s to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/112)\/(2\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.771 + -12.771. What is the closest to t in 3, 0.034, -11?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 13*c**2 - 13*c + 16. Let k be l(12). Suppose 5*g = 3*g + 10. Let a = g - k. Solve 4*f + 3*w - 13 = 2*f, -w + a = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -60. Suppose 0 = 10*b + 581 + 2729. Let n = b + 355. What is the greatest common factor of q and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 j when three letters picked without replacement from {a: 4, q: 3, j: 1, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Round 12880000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n = -40*n - 18. Suppose -n*a - 3*a + 192 = 0. Calculate the lowest common multiple of a and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 348 (c) -9 (d) 52\/101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27588 divided by 6.\nAnswer: -4598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v - 1. Let r be w(6). Let f(l) be the first derivative of 4*l**3\/3 - 7*l**2\/2 - 1290. Let s(c) = -2*c**2 + 4*c. Give r*s(u) + 3*f(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 + 51*d**2 - 11*d + 17. Calculate f(-17).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2173\nAnswer: -434.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 6*h + 469. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*((sqrt(19)*-3*-4)**2 + (sqrt(19) - (sqrt(684) - -1*sqrt(684)))).\nAnswer: -5473 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by 4?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -69461 divided by 16636?\nAnswer: -69461\/16636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149.24 + -1.24. Let c = -147.724 + y. Let r = 0.195 - c. What is r rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (2 + 12\/(-5))*-85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 7. Let n be (1\/(-2))\/((-1)\/4). Suppose n = 3*y - 7, 4*z = -i*y + 40. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 5*o, -5*o - 12 = w - 15. Solve 6 = 4*i - w*y + 19, -2*i + 4*y - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2. Let j = 15 - 7. Suppose 2 = 2*h + j. Let q(a) = -a**2 - 3. Let m(p) = h*z(p) + 4*q(p). Differentiate m(b) with respect to b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -10, -6, -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 14) to base 3\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -38*s - 1. Let o(u) = -74*u - 1. Determine 6*o(j) - 11*z(j).\nAnswer: -26*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 37*h - 10. Let c be x(-20). Calculate the highest common divisor of 200 and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -4*l**2 + l - 10. Let q be (0 + 2)*(-2)\/(-4). Give d(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -8. Suppose 4*h = u + 11, -4*h - h = 2*u - c. Suppose -f + h = -117. Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/9 - 1204*h**2\/9 + 10950*h = 0?\nAnswer: -675, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 7*u**2 + 6*u - 13. Let i(z) = 5*z**3 + 35*z**2 + 31*z - 66. Let a(w) = 11*f(w) - 2*i(w). Let p be a(-8). Is 2 + (-2 - -2) - p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444\/462 + 77\/22*4\/77.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3 + 3980622*d**2 + 3980620*d = 0.\nAnswer: -1990310, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/40)\/(-2 - 91\/(-46)). List the prime factors of (s + -4)*((-52)\/6 - -2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 9*r**2 - 17*r - 14. Let b be w(12). Let u = -50 + b. Suppose 21 = 5*q - u. Calculate the remainder when q is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103321 (base 4) in base 14?\nAnswer: -66d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)**(-27))**(-2)*((n*n**(-1\/3)*n*n*n)**8)**35 assuming n is positive.\nAnswer: n**(3080\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -200 = -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -67427?\nAnswer: -9\/67427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*c**2 - 3*c - 90*c**2 + 162 - 191*c**2 + 3*c wrt c.\nAnswer: -534*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19894119767 + 0.001734.\nAnswer: 19894119767.001734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 2. Suppose -4*d + 2*a = -50, 2*d - 5*a + 11 = 56. Let u(g) = -g**3 + 10*g**2 - g + 17. Let h be u(d). Calculate c(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:17 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2146977, 2146996, 2147041, 2147124, 2147257, 2147452, 2147721, 2148076?\nAnswer: 2148529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6.3. Let y = q - 0.4. Let x be (((-18)\/54)\/(2\/(-48)))\/(-2). Which is the nearest to -1? (a) y (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {a: 3, c: 3, e: 2, t: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 380 = -4*v + 1244, -5*v + 1080 = 2*a. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*-5*sqrt(21))\/((4*sqrt(21))\/sqrt(7)))*-5.\nAnswer: 10 + 75*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4 = -3*t + t, 20 = 5*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -490?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 61 = 58 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let u be k(2). Let l(s) = s + 3. Let d be l(-3). What is the units digit of (d - u) + 9 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 - 119*s**2 - 71*s + 1327. What is x(40)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.72, -16, -20\/7, 1\/3, -0.01 in increasing order.\nAnswer: -16, -20\/7, -0.01, 1\/3, 0.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -24*n + 3932. Let o = 1001 - n. Which is the closest to 1? (a) -1 (b) o (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698939 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 - (-486)\/84 - (-1)\/(-2). Let h(j) = 5*j**2 - 15*j - 12. What is h(w)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d\/((d\/(d\/d**(-4)))\/d*d)))\/d))\/d**(-1\/2)*((d*d**2)\/d)\/(d**(-1)*d))**(-3\/5) assuming d is positive.\nAnswer: d**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12867 - 8375. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 70831599 + -0.1?\nAnswer: 70831598.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 108 + 29*y**3 + 336*y**2 + 3\/4*y**4 + 588*y. Suppose b(r) = 0. Calculate r.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**2 + 5*i**2 + 2*i**2)*(i - i - 3*i**3).\nAnswer: -69*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**7\/1260 + i**6\/180 - i**4\/4 + 2*i**2. Let d(a) be the second derivative of y(a). Solve d(l) = 0 for l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z - 10080 = -56*z. Does 48 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96*87\/(-928) - (-98)\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {p: 11, v: 3, t: 1, b: 2, g: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 3*a = 4*a. Suppose 5*t - 6 = y - 1, -t + 2 = a. Find b, given that -171\/7*b**4 + 6\/7 - 27\/7*b + 21*b**3 - 15\/7*b**2 + 60\/7*b**y = 0.\nAnswer: -2\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*p + 13006 - 1714, -p + 5667 = -3*b. Calculate the highest common divisor of p and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 1274, 4, -0.2, 2\/127 in increasing order.\nAnswer: -0.2, 2\/127, 0.17, 4, 1274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 0, -4*m + 5*v + 67 + 3 = 0. Suppose -17 - 23 = -10*i. Solve -x - i*x = -m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -3.4891\nAnswer: 45.3583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 231*v + 8 - 696*v + 235*v + 422*v**2 + 231*v - 3 in the form t + i*v**2 + k*v and give i.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1058359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2557140 divided by 27795\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110100 (base 2) to base 7.\nAnswer: -4426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 3*r**2 + 4*r**2)*(0 + 0 + 2*r**3) + 127 - 127 + 22*r**5.\nAnswer: 28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1256891, 1256892, 1256893, 1256894?\n\"Answer: v + 1256890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60759 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 1328, 3022, 5436, 8594?\nAnswer: 12520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*c + 11*c + 23*c + (-1 + 1 - c)*(-8 + 1 - 1) - 2*c + 2 - 2 + (-2 + 0 + 0)*(-2*c - c + 4*c) to the form a*c + k and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q - 25*q = 538350. What is the second derivative of -r**2 + q*r**3 + r**2 - 21848*r**3 - 30*r wrt r?\nAnswer: -1884*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3113293144.\nAnswer: 2, 13, 29, 1032259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-33)\/(-4)))\/(7\/(-3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqi. Give prob of picking 1 n and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2193 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (5 - 2))*1. Let f be ((-18)\/15)\/(n\/(-10)). What is the closest to 1 in f, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**27\/p**(-1\/10) assuming p is positive.\nAnswer: p**(271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2985380 is divided by 2137.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4503 - (-3)\/1 - 0. Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.93, 2?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 + 52*k**2 + 33*k**2 - 20*k**2 as q*k + j*k**2 + c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -486006646317\/20 - -24306647082. Let b = q - 6316865. Let h = b - -2098. Calculate the common denominator of h and 73\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u = -2*w - 22*u + 3, 0 = -5*w + 2*u + 24 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1267*g + g**2 + 203 - 72 - 1236*g. Determine c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 23442\/12)*(-6)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000259576966 rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 19*r**3 + 4 + 3*r**2 + 2*r**2 + r**2 - 20*r**3. Let d be i(5). Calculate the greatest common divisor of d and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u + 1. Let l = 77 + -77. Let g be 4 - (2 - l - -1). Determine b(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 53?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2521161.\nAnswer: -1008464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -338*l + 7. Is a(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020010210 (base 3) to base 6.\nAnswer: 1441120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 - -0.04. Let r = -205\/7 - -29. Which is the nearest to -1? (a) 4 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-5)\/(-10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbhbl. Give prob of sequence bbhl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4 = -2*z, g = -27*z + 26*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/(2\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Which is the smallest value? (a) 2\/7 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 989879403 and 2382?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, q: 2}. Give prob of picking 2 m.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9251901*b**5 - 64212062*b wrt b.\nAnswer: 185038020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/((-396)\/110)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 9023812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 5*i - 4 = 10*q, -q - 5*i = -1. Let n = 13 - 8. Which is the third biggest value? (a) q (b) -17 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-nine halves of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**6\/360 - n**5\/15 - n**4\/8 - 4*n**3\/3 - 7. Let h(c) be the third derivative of v(c). Is h(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6708 and 11958.\nAnswer: 5250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -345592 times -2?\nAnswer: 691184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-405)\/(-138)) - 30*(-6)\/60?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 379\/(-126) - (23644\/(-414) - -57)\/(3\/81).\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 42*f**3 + 45*f**2 - 594*f.\nAnswer: 3*f*(f - 3)*(f + 6)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 - b**2 + 5*b + 6*b**3 + 16*b**2 + 1. Let f be k(-13). Suppose -3*u + 230 = -f. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66539372, 133078745, 199618118, 266157491, 332696864?\nAnswer: 399236237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/6 - 5\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (-9 - -4)) - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -566*d*j**4 + 2*d*j - 153*d - 5*j**5 - 4*j wrt j?\nAnswer: -6792*d*j**2 - 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbylbll. What is prob of sequence fl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83.315 - 83. Let d = -0.6 + k. Let a = -0.115 + d. Sort -2, a, 4.\nAnswer: -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 20*j**3 - 2*j**2 - 3 + 12*j**2 + 4*j - 2*j - 8*j**2 to the form w*j**2 + l*j**3 + o + g*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2015\/10853 + 1422980561\/173648. Let i = s + -8189. Let a = -3157\/4 + 797. What is the common denominator of i and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194443\/344648 - 256\/643. Find the common denominator of -19\/36 and d.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x*x)**(-36)\/(x*x*x**0*x\/(x*x**(1\/14)*x)*x) assuming x is positive.\nAnswer: x**(-531\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-1) + -1 + 2. Let j = -47 + 129. Let t = j + z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10283 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 28958 = -5*v, -5*q + 9360 + 2227 = 2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303*r**4 + 42*r**2 - 110300*r wrt r.\nAnswer: -3636*r**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -8?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*n - 2)*(7 - 4 - 5)*(-3*n + 2*n + 3*n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 243623533.\nAnswer: -1218117665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.7, 1665 in ascending order.\nAnswer: 0.7, 4, 1665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 - 131*q + 142*q - 2 + 0*q**2 - 12*q**2 = 0. Calculate q.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1018\/3, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 311.9812 kilograms?\nAnswer: 311981200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/12*-6*1. Let r be u\/8 - 1162\/(-8). What is the greatest common factor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -11. Let s = d + 12. Solve -s*b - 1 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)*(-230)\/(-5)*-1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 597896.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(84) + 5*sqrt(84)*3 + sqrt(84))*6)\/(sqrt(72)\/(sqrt(6) - (sqrt(6) - sqrt(24))) - sqrt(60)\/(sqrt(5)*-2))*4.\nAnswer: -2448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 92. Is -2 + 15558\/18 + (-2)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c. Let w(b) = 7*b + 55. Let f be w(-3). Suppose -2*j = -49 + 13. Let h(y) = 3*y**2 + f*y - 20*y - j*y. Determine -3*h(n) + 12*l(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, and 1 t when three letters picked without replacement from whebttshhhehhsh?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -1 - (-2)\/1. Let l be 3\/(-13)*3*(-35)\/(-12). Let k = l - -9\/4. What is the third biggest value in -2, k, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 19, -1, 3, 0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10902*b - 69150 - 55413 - 82575 = 0 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14187 divided by -2104.\nAnswer: 14187\/2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from ttttzzzztetezt?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(2\/(-10))\/(64\/80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + -207. Does 19 divide w\/18 + 884\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -25) + 18 + -3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 3, u: 2, c: 2}. What is prob of picking 2 e and 1 c?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2203 = g + o, -o = g - 547. Suppose -g = -f - 4*v + 46, -2379 = -4*f - 3*v. Let m = -337 + f. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2 - 5*z + 21. Let j(u) = 3*u**2 - 2*u + 10. Calculate -9*j(t) + 4*k(t).\nAnswer: t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiuiuucbiccbciucbc. What is prob of sequence ic?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68? (a) 3 (b) 0 (c) 4 (d) 868413 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204772839 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: Solve l - 6 = -2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*x - 1459 + 4627 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*d + 32, -5*j + 12*d = 8*d - 68. Calculate the smallest common multiple of 192 and j.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8046526 minus 0.00802158?\nAnswer: -0.81267418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214*m**3 - 3*m**3 - 18*m**3)*(m - 23 + 68 - 32).\nAnswer: 193*m**4 + 2509*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 11:04 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 3. Let b(v) = -v + 1. Let h = -3450 - -3449. Determine h*z(x) - 6*b(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -4 (c) -0.3 (d) 0.3 (e) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 90. Suppose 0 = j - 2*j + s. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -59*p + 5. Let s(o) = 324*o - 27. Calculate -27*a(j) - 5*s(j).\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 5 + 4)*(-2 + 0 + 4) + 4 - 2 + 0)*(19305 - 19305 + 4049*i**2) + (0*i + i - 2*i)*(0*i + 3 - 1 + 2*i).\nAnswer: -8100*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8205 + -8203. Sort -80, 1\/2, -0.4, m, -2\/7 in decreasing order.\nAnswer: m, 1\/2, -2\/7, -0.4, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**3 + 8*k**2 + 53*k - 61. Give y(-4).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4591, 4694, 4797, 4900, 5003?\nAnswer: 5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61\/6, -0.3, 0.3, -0.5, 5.\nAnswer: -0.5, -0.3, 0.3, 5, 61\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**2\/2 - 3. Let s(a) be the first derivative of 1 + 1\/2*a**2 + 0*a. What is m(s(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 7\/24*g**4 + 0 + 2*g**2 + 0*g + 0*g**3. Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(4 - 2 - 1)*(-6*r - 2*r**2 - 58 - 64 + 123).\nAnswer: -2*r**2 - 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -94. What are the prime factors of q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 15) to base 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100 a factor of 131241600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-2 + (9 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*p + 3*x, -2*p - 2 = -3*x + 5*x. What is the remainder when 82 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150080 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 74*s - 6. Give l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l - 2*l**2 - 13*l + l**2.\nAnswer: -l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.00049 + 0.00049. What is the second biggest value in n, -2\/11, 0.209, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2202335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -1\/74 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 27 = -2*r, 37 + 4 - 46 = z for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000429816514 to seven decimal places.\nAnswer: 0.0004298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -36.24. Let w = h - 27.24. Do w and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-7))\/(-62*345\/119784)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 - 6*d**2 + 20*d - 8. Let k(l) = l**3 + l**2 + l + 1. Let f(c) = 4*k(c) + o(c). List the prime factors of f(-10).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300.39 or 2.3?\nAnswer: -300.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3 - 2. Let p = i + 4. Suppose 2*k - 9 = -1. Solve 0 = p*m - k - 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxooooooq. What is prob of picking 1 x and 1 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22559, -88800, -199203, -353768, -552495, -795384?\nAnswer: -1082435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 267*l - 268*l = -16, 5*y + 3*l + 62 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3, 0, -2917, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90311179307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05131, 1, 1\/9, -0.032, 23?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -66. Let q = 6.5 + -7. Let v = q + 2.5. Which is the second biggest value? (a) 10 (b) y (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146\/231 + -2\/33. Let r = 0.057 - 0.157. What is the third smallest value in -1\/3, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10333 + -1210321?\nAnswer: -1221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4\/7*h + 2\/7*h**3 + 0 - 6\/7*h**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxx. Give prob of sequence cx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i**2 - 3*i - 9. What is k(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 26*p + 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15210, -30419, -45628?\n\"Answer: -15209*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(9\/((-45)\/(-2))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 5)*(d - d + d**2)*(-4 + 4 - 1).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whyyy. What is prob of picking 3 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 6*h + 6. Let l(r) = 2*r**2 - 12*r + 13. Let z(y) = 6*l(y) - 13*p(y). Let v = -32 + 93. Let f = v - 55. What is z(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-36))**(-2\/41)\/((m\/m**(-2\/5)*m)**(3\/7)\/(m**(-1\/3))**(-1\/6)) assuming m is positive.\nAnswer: m**(-115853\/25830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 5*o**2 - 6*o + 3. Let v(i) = 5*i**2 + 26*i + 3. Let l(u) = -2*u**2 - 9*u - 1. Let c(x) = 8*l(x) + 3*v(x). Let g be c(7). Determine h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5036 - -5035.5. Suppose t + 0 = 2. Suppose -2*v + 5*g = 11, g - t = -1. Which is the smallest value? (a) v (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/5 + 11\/10. Let l = -173.2 - -171.2. Let f = -0.14 - -0.2. What is the nearest to q in 5, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 + 0.06. Let x = -2 - -2.2. Let t = 61.6 - 62. Which is the closest to x? (a) i (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 577320 and 577320.\nAnswer: 577320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -99. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**4*x - 46*u**3*x - 12*x - 1 wrt u?\nAnswer: 4*u**3*x - 138*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*w - 1, 6*w - 11*w - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13 + 17\/(1105\/75)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 428736 divided by -224\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 0.4\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 6 = -v, 3*v - 4*h = -18. Let i be (-12)\/5 - v\/15. Let f = 19.5 - 19. Sort i, f, -0.3 in descending order.\nAnswer: f, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - (-8)\/(-192)*246. What is the fourth biggest value in 2.1, -1\/8, t, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -49. Let w = -16 + h. Suppose -40 = w*l - 452. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v - 33 + 75 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (16 - 0) + (-7 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1610 or 2434?\nAnswer: 1610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 e when three letters picked without replacement from {e: 1, f: 12, i: 7}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Sort 2, g, -25, 3 in decreasing order.\nAnswer: g, 3, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -65*u - 81. Determine i(-6).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4449*w + 2667*w = 740064 for w.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {p: 1, q: 7, g: 3, b: 6, e: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 8*z**2 + 6*z + 10. Let f be v(7). Let m = -81299\/13 + 6256. Is m smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -2*x, -4 = -45*w + 43*w + 2*x. Suppose -w*t + 443 = 3*t + 4*l, -t - l + 88 = 0. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400369969 to the nearest integer?\nAnswer: 20009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + 0.2. Let t = 10 + -9.8. Is t greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-935)\/(-200) - 0 - 4 and -41\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -19. Let a(m) = m**3 - 2*m**2 + 1. Let l(f) = f**3 - 2*f**2 + 1. Let q(c) = 2*a(c) - 3*l(c). Let w be q(p). Solve 0 = k + w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2878 + 2881. What is the closest to -1 in -0.5, -5\/2, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 141. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*h - 6343*h**3 - 433*h + 6318*h**3.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 14 - (0 + 0)) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 53 + 188. Let x = 63 - 58. Calculate the greatest common factor of r and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1482066, 5928259, 13338582, 23713035, 37051618?\n\"Answer: 1482065*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - (-10 + (-46476)\/81). What is the highest common factor of 73 and l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55793390*x**4 - 35697752*x**2?\nAnswer: -1339041360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 3743.9.\nAnswer: 1123.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9322 and 1062.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2742, 2743, 2744, 2745, 2746?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 + 8*g + 12. Let r be k(-7). Let h = r + -132. What is the derivative of -19 - 6 - 27*p + 45*p - h wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 510*f**3 - 34587*f**2 + 576435*f - 67338 = 0. What is f?\nAnswer: 2\/17, 29, 387\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 - 2 + 2)*(851 - 313 - 139 + 343 + 798 + 1716) as k + i*a + n*a**2 and give n.\nAnswer: -6512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*m = -18, -4*t = -t - 3*m + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274332 is divided by 12413?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13270 - -25001. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -1\/22, 703 in descending order.\nAnswer: 703, 0.06, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -17*q**2 + 21*q - 7. Let r(k) = -4*k**2 + 5*k - 2. Let o(b) = -9*r(b) + 2*w(b). Suppose -7905 = -8*v + 15*v - 7926. Give o(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-3))\/((-7497)\/47628)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830771?\nAnswer: 71, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -6, 2, 0, 5 in descending order.\nAnswer: 5, 2, 0, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 53*m + 77*m.\nAnswer: 122*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542*q + 4*p = -541*q - 5927, 0 = q + 5*p - 5882. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 7:10 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 14064.\nAnswer: 14064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 51, -2\/773 in increasing order.\nAnswer: -2\/773, 5, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-1)*a)\/a))**0*(a*a*a\/(a*a**(-4))*a)\/((a\/(a*(a*(a**(2\/19)*a)\/a)\/a*a))\/a) assuming a is positive.\nAnswer: a**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 168. Suppose 0 = g - 2, 4*g = -4*r + t - 12. Let h = -173 - -182. What is the highest common factor of h and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10389, 5, -8 in ascending order.\nAnswer: -10389, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let g(r) be the first derivative of -4*r**3 - 4*r + 28. Give g(v(h)).\nAnswer: -12*h**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fayuayayyhh. What is prob of picking 1 a and 1 y?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 49*g + 20. Let o be i(-28). Suppose o - 1600 = -32*w. Calculate the greatest common divisor of w and 310.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 29*g. Let z(f) = 2 - 2*f**2 - 94*f**3 + 95*f**3 + 2*f + 5*f**2. Let s be z(-2). Let q(v) = 5*v - s*v**2 - 2*v - 3*v. What is n(q(w))?\nAnswer: -58*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 - 64. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10069754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*d + 408493 + 355787 = -81*d. List the prime factors of d.\nAnswer: 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -98*d**2 - 5*d**4 - 5*d**2 + 70*d - 178*d**3 + 0*d**4 = 0.\nAnswer: -35, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5310 - 5308. Let p(o) be the third derivative of -7\/60*o**5 + 0*o + 0*o**3 + 17\/24*o**4 - 6*o**z + 0. What is the second derivative of p(b) wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14177794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**24*((c*c*c\/c**(-4\/13))\/c)\/c assuming c is positive.\nAnswer: c**(329\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -574, -845, -1106, -1357, -1598?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - l - 2 + 10, -7 = 3*f + 4*l. Let d(h) = -h + 7. Let k be d(f). Solve -k*v - 2*y = -5*y + 2, 0 = 2*v + 3*y - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/9 + 918892*d - 8270030\/9 = 0.\nAnswer: -4135015, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, 0.1, -23 in ascending order.\nAnswer: -23, -2\/9, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 5*c**2 + 5*c + 6. Let j be o(-3). Suppose 5*k = 3*r - 40, -33 = 4*k - 13. Suppose j = r*i - 2*i - 2127. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3\/o)\/((o*o*o**(-7\/4)*o)\/o))**(7\/5)*((o**0\/o)\/(o\/(o*o*o\/(o\/(o*o**(-1))))))**(-15) assuming o is positive.\nAnswer: o**(49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus -0.653641?\nAnswer: 0.643641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 135*t - 401 - 161 - 131 + 858.\nAnswer: 135*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 - n + 2. What is d(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75.76925 millilitres?\nAnswer: 0.07576925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -202110*-0.4\nAnswer: 80844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42844, 42742, 42640, 42538, 42436, 42334?\nAnswer: 42232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejjeeeeeeeeeeeeeeee. Give prob of sequence ej.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 249 = -4*w. Let h = -82 + w. Solve -n - h = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - 567275596.402.\nAnswer: -567275619.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 25 = -3*i. Suppose l + 2 = 2*l. What is the second derivative of 5*o - 3*o + 2*o + 0*o**5 + l*o**i wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 126, 75, -10, -129, -282, -469?\n\"Answer: -17*l**2 + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatetateaateetttea. Give prob of picking 1 t and 1 e.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 184? (a) 3 (b) 8 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 0*w**2 - 3*w**2 - 7*w**2. Let m(j) be the third derivative of -j**5\/10 + 8*j**2 - 1. Calculate a(m(h)).\nAnswer: -216*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**2 + 30884372*c + 92653080 = 0?\nAnswer: -7721090, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-15))\/(-2))\/((-2)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-140))\/(10\/(-50))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*x + 1114*x - 64 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 - 6*p**3 + 14*p**2 - 22*p\/3.\nAnswer: -2*p*(p - 1)**2*(p + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4785809+-94\nAnswer: 4785715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05137108762 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3493, 10327, 23137, 44911, 78637, 127303, 193897?\n\"Answer: 498*a**3 + 3348*a - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -230 + 232. Suppose -14*i = -z*i + 96. Which is greater: i or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 8 + (5 - 4). Put 3, -3, t, 11 in decreasing order.\nAnswer: 11, t, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15585 and 34287.\nAnswer: 171435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 63) + (49 - -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 223*k + 3 - 5.\nAnswer: -223*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 7*c + 8. Calculate the remainder when 37 is divided by x(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -16. Suppose 5*g + i = 28, v*i - 16 = -g - 3*g. Calculate the smallest common multiple of g and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*i = 30, -9*i + 6*i = 6. Let g be 5 - ((1 - s) + -3). What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 6, -5*v - o = o + 41. Is v > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/4)\/((-2)\/(-12)). Solve -3*o - 15 = -z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 34 - 2*n - 29*n**2 + 34\/3*n**3. Differentiate a(w) wrt w.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + 0.8. Which is bigger: w or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**2 + 9*t + 26. Let n(h) = h**2 + h + 1. Let q(w) = -5*n(w) + p(w). Let k(g) = g**2 - 34*g - 230. Let o be k(40). Is q(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1129, 606, 79, -452, -987, -1526?\n\"Answer: -2*i**2 - 517*i + 1648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.02937 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63517505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 60\/15*1\/((-16)\/(-44))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3.83 (b) -1 (c) 2 (d) -37 (e) -1\/6 (f) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 78*j**3 + j**2 - 4*j + 4. Let o be z(2). Suppose -20*y = -136 - o. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 389442? (a) 0 (b) 2\/15 (c) -4 (d) 5 (e) -2 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 49. Suppose -x = -0*x - q*b - 71, -5*b = -2*x + 130. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 31519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (506\/(-99))\/23 - (-58)\/342\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s + 40 = -70*s. Let p(t) = t**3 + 11*t**2 + 10*t + 1. Calculate p(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37167*o - 37167*o + 1879*o**4)*(3 + 2*o - 3)*(0 + 1 + 1).\nAnswer: 7516*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (-2 - 3) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-2) - 2\/(-4). Suppose 40 = -u*d + 16. What is the tens digit of d\/8 + (-55)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, r: 2}. What is prob of sequence wrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 3, p: 1}. What is prob of sequence php?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 u, and 1 q when four letters picked without replacement from {u: 1, y: 2, r: 4, q: 1, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 584987*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 44, 61, 78, 95?\n\"Answer: 17*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 23003?\nAnswer: -23004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (-51)\/(-2))\/((-12)\/160).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 17*l**2 + 3*l - 59. Determine u(-19).\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b)\/b**(-1\/2)*b*b\/b**(4\/3)*b*(b**(-2\/25)\/b)\/b assuming b is positive.\nAnswer: b**(-737\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133 + 1038 + 1007 - 5195 - 2*z + 1006 + 1011.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -225*j**2 - 39*j. Let a be r(4). Let s = a + 10927. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9352, -9455, -9566, -9685, -9812, -9947, -10090?\nAnswer: -10241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -58. Which is the closest to t? (a) 2 (b) 5 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2609.992 + 2610. Which is greater: -5\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56565.\nAnswer: 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 165. Let o(n) = -843*n. Determine o(c(q)).\nAnswer: 843*q - 139095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 5*l - 15 = 0, 2*g - 7*g = -l - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 3*d**2 + d - 2. Suppose -5*a = -w - 6 - 11, 3*a + 2*w - 18 = 0. Let s be l(a). Let j = 24 + s. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljky when four letters picked without replacement from {j: 6, y: 1, g: 3, l: 1, u: 1, k: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**2 + 0*y**3 - 3\/14*y**7 + 0 + 0*y**6 - 13*y - 1\/6*y**4 + 0*y**5. What is the third derivative of x(q) wrt q?\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let c(b) = 12*b - 8. Let s(h) be the second derivative of -11*h**3\/6 + 3*h**2 + 13*h + 3. Let u(x) = -6*c(x) - 8*s(x). Calculate u(l(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*u + 372, 0 = 6*r - 7*r + u + 92. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.1. Let u = -0.067 + -0.133. What is the nearest to t in u, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(605) - (1 + (sqrt(605) - (sqrt(605) + 1 - sqrt(605)))))**2 + 2)*-6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k = 0. Let v(w) be the first derivative of 0*w - 2\/5*w**5 + 2 + k*w**2 + 0*w**4 + 0*w**3 + 1\/6*w**6. Suppose v(y) = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*d - 2*w, -3*w + 6 = 3*d - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 725*r**2 - 2838*r**2 - 1298*r**2 in the form d*r**2 + v*r + z and give d.\nAnswer: -3411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 1, g: 2, w: 2, e: 6}. What is prob of sequence ewi?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21506495*f**3 - 851403*f wrt f.\nAnswer: 129038970*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2. Let d(k) = 6*k**2 + 2*k**2 - 3*k**2. What is c(d(o))?\nAnswer: -200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a635 + -830?\nAnswer: -b065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 15*h**3 - 16*h**2 + 15*h - 18. Let m(o) = -7*o**3 + 8*o**2 - 7*o + 9. Let x(p) = 6*c(p) + 13*m(p). Calculate the remainder when 1 is divided by x(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6494 + 508. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a - 4*k, 4*a + k = 2*k - 29. Let d(n) = n**2 + 8*n - 1. Determine d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a7 (base 11) to base 14\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-13085)\/(-25) - 8\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*c = -1178 + 800 + 4646 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/35 + (-116)\/(-504)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*b - 3 = 0, -z = -b - 2 + 7. Let f = -806.27 + 806.32. Sort -0.3, z, -0.2, f.\nAnswer: z, -0.3, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, 4, 1\/3, -0.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3544 + 1?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(11) - (sqrt(11) - (2*sqrt(11) - sqrt(11))**2*4).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -241234241?\nAnswer: 241234232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.2, 0.37, 2.9, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1009528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 194*l - 194*l + 0*l**3 + 5*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 + -6.6. Let w = -1.4 + 1.5. Put u, w, 0 in ascending order.\nAnswer: u, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220 + -20102302?\nAnswer: -20102032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 7*r**2 - 5*r + 5. Does 20 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*x - p, -14 = -2*p - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10713*w = -7729*w + 263705 - 1515333 - 20870 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/38*(-496)\/1612. Factor z*u**3 + 16\/19*u**2 + 32\/19*u + 0.\nAnswer: 2*u*(u + 4)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 647296760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.464952 months to years.\nAnswer: 2.038746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 3*p - 5. Let v be t(4). What is the greatest common divisor of 322 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98ee5 (base 15) to base 2\nAnswer: -1110110101001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*j + 18, -4*i = 5*j - 6*i - 27. Let o be (5\/(-10))\/(3 + 21\/(-6)). Let c be (-4 + 5)\/(o\/13). Solve -j*n + q = -22, 5*n + 2*q - c = 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1984 or 6344?\nAnswer: 6344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*15\/(-24)*10\/(-25). Solve f = t + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = -38. Find the second derivative of 2*o**2 - f*o + 7*o + 8*o**2 wrt o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5392 (base 13) to base 10\nAnswer: 11611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.347237 rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*b + 2*f, 2*f = -5*b - f + 28. Suppose -5*p + 117 = -b*p. Is p\/((-4)\/((-32)\/(-12))) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4, 2*z + 3*f + 11 = -3. Let j be -46*2\/z - 3. Suppose 4*n - 2*g = -g - 4, 3*n + j = 5*g. Put -5, 3, n in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76544017, 153088040, 229632065, 306176092, 382720121?\n\"Answer: h**2 + 76544020*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74416 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55160541 to the nearest integer?\nAnswer: 7427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 25*y**3\/3 + 145*y**2 - 120*y + 244. Determine u so that l(u) = 0.\nAnswer: -12, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -23*i**3 - i**2 + 2*i + 2. Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 3*q - 155. Determine d(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + t**2 + 16*t - 7. Give g(5).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318869 is divided by 1270.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + 3*l**2 - 26*l - 29. Give x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 + 21*z - 16 + z**3 + 9*z**2 + 44. What is the tens digit of f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 119\/2. Let z = 53399\/6010 + 9\/601. Find the common denominator of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1147689.2 to the nearest 1000.\nAnswer: -1148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1671*c**3 - 5032*c**3 + 1664*c**3 + 1701*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37597 and 6027.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 14}. Give prob of picking 1 t and 1 y.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (1 + (5 - 3)). Which is bigger: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 507, 2, 0, -40, -2 in descending order.\nAnswer: 507, 2, 0, -2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -q - 11, 2*q + 4*z + 16 = -z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - -2 - (2 - -32) - 1. Let k = 44 + o. Suppose -k*n + 3*n = -180. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541 - 3535*c - 3587*c + 539.\nAnswer: -7122*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 168272, 1, 14 in increasing order.\nAnswer: 1, 14, 168272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 27*g + 7. Let l be f(9). Let z(s) = s - 23*s + l*s + 0*s + 1. Determine z(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 5 - -8 - -17) + -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*(-8)\/(-60) - (-374)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 156.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2123453680 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 189?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477 times -0.2?\nAnswer: -295.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -2 + 0*y**3 + 1\/6*y**4 - 1\/30*y**5 + 0*y - 3*y**2. Let a(s) be the second derivative of c(s). Factor a(x).\nAnswer: -2*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((-1*sqrt(152) - sqrt(152)) + sqrt(152))*5 + 2*(-2*sqrt(152) - sqrt(152)))*4)\/((sqrt(24)*2*5)\/(sqrt(27)\/(sqrt(18)\/sqrt(2)))))**2.\nAnswer: 9196\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 23*o**3 - 2*o**2 + o. Determine n(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 2. Let n(a) = 9*a**3 - 2*a**2 + 8*a + 4. Let h(c) = 6*l(c) - 3*n(c). Find the second derivative of h(s) wrt s.\nAnswer: -162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22302 - -312?\nAnswer: 23114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 298044.97 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmcm when four letters picked without replacement from mmcmmcmccmm.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2242)\/100890)\/((-2)\/(-8570)) + 2\/9.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1300) + sqrt(1300)*-1) - sqrt(1300))**2 - (sqrt(1300) + ((sqrt(1300) + sqrt(1300) + -1 - sqrt(1300) - sqrt(1300))*5)**2 - sqrt(1300)).\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.516 decades in centuries?\nAnswer: 60.5516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16511 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242636182 is divided by 846?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x + 12. Suppose 3*h = v + 20, -h - 4*v + 1 = x. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9303926.6 and 2.\nAnswer: -18607853.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/20)\/((-1)\/5). Find the third derivative of q*h**2 - h**5 - 6*h**5 - 2*h**2 - 6*h**2 wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 158.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212000 + -201010?\nAnswer: -2120010","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 {x: 8, t: 2, o: 4}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from pquzzyuqzzzvzyqzu.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 7*l**2 - 6*l. Let h be a(-7). Solve -4*n = 5*u - 37, -h = -3*n - 5*u - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320743.5 millennia to decades.\nAnswer: 32074350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 6623*q**2 + 3*q**3 - 376 - 234 - 6623*q**2 in the form k + c*q**2 + h*q**3 + i*q and give k.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q - 81 - 87 - 85 + 253.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280*n**3 - 3551*n - 65 - 526*n**3 + 1206*n + 186*n**3 - 21240*n**2 = 0. What is n?\nAnswer: -13, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2994 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 314464207 divided by -1?\nAnswer: -314464207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 307, 635, 965, 1297?\n\"Answer: w**2 + 325*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3)\/(4\/8). Let s(r) be the third derivative of r**4\/24 + 7*r**3\/6 + r**2. Let o be s(-5). Solve -f*c + 0*c = o*n + 2, -2*c = 4*n + 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*o - 14, 3*j + 3*o - 6*o = -21. Let d = j - -7. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 41.9. Let p = y + -0.5. Let l = -5.2 - p. Sort -0.5, -0.1, l in descending order.\nAnswer: l, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -868146 and -0.003.\nAnswer: 2604.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26 + 2*2\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*m + 120, 2*h + 256 = 384*m - 380*m. Solve -m*j = -96*j + 112 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + u = 3*u + 12, -12 = -3*x + 5*u. Suppose -x*l + 150 = -l. Let f be (172\/5)\/(4\/l). Round f to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/5, 1, -4, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1302032\nAnswer: -1302033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 + 0 + 0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192780*o**2 - 3685442733\/5 - 600*o**3 - 20646738*o = 0 for o.\nAnswer: -1071\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1592 and 23\/2?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100636.8cm in nanometers?\nAnswer: 1006368000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14523 (base 7) to base 16.\nAnswer: fc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/30 + 1068*d**5\/5 - 570312*d**4 + 812124288*d**3 + 905*d**2. Suppose j(z) = 0. What is z?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1757856 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5320 + -5315. Let d(q) = -5*q**2 + 5*q - 5. Let m(o) be the first derivative of -5*o**3\/3 + 3*o**2 - 6*o + 1. Calculate j*m(c) - 6*d(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*d - 23, 4*d - 3 = 7*d. What is the derivative of 3*v + 7*v**4 + 338 - t*v + 3*v**4 - 335 wrt v?\nAnswer: 40*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125293 (base 10) to base 4.\nAnswer: 132211231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 10. Suppose -3*r - 16 = -0*o - 2*o, 2*o - 5*r = 20. Suppose -o = -c*g + 13. Which is smaller: g or 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) -54 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343912 is divided by 4020.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-116))\/((-221)\/(-1768))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34899778 + -5?\nAnswer: -34899780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053523275 to five dps.\nAnswer: -0.00535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:41 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5371 + -5371.3. What is the nearest to -3.6 in -5, u, 2, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-9) - 111683\/(-23595)*(-20)\/(-102)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148898040*v**2 - 2*v + 502267866 wrt v?\nAnswer: -297796080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1131 - -1136. Solve 2*w + y = -y, h*y = -3*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388290 by -129.\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.899 + -0.001. Round n to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25 - (4 - 14)) + 20. Let s(v) be the third derivative of -1\/20*v**d + 0*v + v**3 + 0 - 1\/8*v**4 + 13*v**2. Find m, given that s(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35*-16\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 9\/2 (b) -4\/3 (c) 1.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-10)\/40)\/(5\/8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a factor of 9981312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(279\/(-57) + 11\/418*-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5776*g**5 + 11025*g**2 wrt g.\nAnswer: -346560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + 5*r - 5*r)*(4*r**2 + 2*r**2 - 5*r**2) - 36*r + 36*r - 20*r**4 - r**2 - 4*r**4 + r**2 to z + v*r**3 + x*r**2 + i*r + s*r**4 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -584.733 + 616.92. Round k to zero dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 + -125. What is the closest to z in 4, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcclccllcclclclllccc. What is prob of picking 3 l?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 15*w - 18. Let m be i(-10). Let k = 62 + m. Does 42 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632988973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hff when three letters picked without replacement from {b: 1, h: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67\/260 - -3\/52. Let x = 2 - 2. What is the closest to x in -0.5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4917)\/(-21) + (-1)\/((-49)\/(-56)) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 14*n - 1 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74, -261, -560, -971, -1494?\n\"Answer: -56*i**2 - 19*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1034.3 + -1031.3. What is the nearest to -2\/5 in n, -0.07, 21\/10, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d + 14. Let o be j(0). Let x = o - 7. Suppose -c + 15 = x. Calculate the remainder when 15 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 3 - (-2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*q + 43, -750*q - 4*x - 73 = -745*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14433 - 14433.2. What is the closest to 64 in 0.3, p, -4\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 1286208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 0.05916617.\nAnswer: 0.35916617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1*-1)\/(sqrt(108)\/(sqrt(12)*2)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*a - g + 9, 0 = -4*a - 2*g + 50. Suppose w - 2*d = 3*d - a, 2*w = -d - 11. What is the units digit of 70\/15*w\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, m: 9}. What is prob of picking 2 s and 2 m?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87172104 and 43586052.\nAnswer: 87172104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1634 + 1174*f - 658*f - 517*f. Let w(j) = 6*j**2. Give w(t(o)).\nAnswer: 6*o**2 + 19608*o + 16019736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 15740*c**2 - 31528*c - 125984.\nAnswer: 4*(c - 4)*(c + 2)*(c + 3937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -25042125?\nAnswer: -25042125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -q. Solve -q*m + 2*m = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -859.336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678824.4 days to hours.\nAnswer: 16291785.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.79 - 0.79000059. Round t to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let t(p) = 12 - 35513*p - 35577*p + 106594*p - 35598*p. Determine 12*k(b) - t(b).\nAnswer: 82*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let q = 3 - a. Let u = -9\/2 + 4. Is u less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*t**2 + 22*t**2 - 17*t**2)*(-3 - 42*t**2 + 22*t**2 - 35*t**2) in the form w*t**2 + o*t + c*t**3 + v + s*t**4 and give s.\nAnswer: -1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -193630, -193656, -193682?\n\"Answer: -26*a - 193604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -4.7. Which is the closest to 0.1? (a) -2 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -1937, 3?\nAnswer: -1937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-6)*h)\/h*h)**(-48)\/(h\/h**16*h)**(-12))**30 assuming h is positive.\nAnswer: h**2160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728*u**4\/15 + 12382*u**3\/3 - 170*u**2 = 0. What is u?\nAnswer: 0, 15\/364, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p + 24 = 35*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17733 - -17737. Let a = -2.25 + 2. What is the nearest to a in 2\/9, f, 3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add -0.0198 and 108.5.\nAnswer: 108.4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*(-3 + (-3*(sqrt(147) + -1 - sqrt(147)) - sqrt(147))) - -2*(sqrt(147) + sqrt(147)*1*6 + sqrt(147) + sqrt(147) + 1 + 1*sqrt(147)))**2.\nAnswer: 420*sqrt(3) + 33076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3536719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1 - 2) + (-12 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0614022 kilometers?\nAnswer: 61402200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let s(y) = -4*y - 5. Let t(p) = -6*p - 8. Let q(d) = -8*s(d) + 5*t(d). Give q(a(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/162*3*4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165144 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -29, -4\/67, -5, 178?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19384, 19383, 19382, 19381, 19380, 19379?\n\"Answer: -o + 19385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = 0, 5*z + 76 = -6*d + 9*d. What is the least common multiple of d and 21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2678 divided by 2?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-30)*(-6)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/9 or -1?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/3 + 9*j**3\/2 - 8*j**2 + 2*j + 1. Let i be w(6). Solve 2\/13*h**i - 16\/13*h + 32\/13 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 25835277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/2 + 7*z**4\/2 - 121*z**3\/2 - 7*z**2\/2 + 60*z = 0. What is z?\nAnswer: -15, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-8) + -2)\/(-1). Suppose -2 = -v - 8. Let g = -2957\/20209 - -10\/2887. Which is the second biggest value? (a) r (b) 0.4 (c) g (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9 + 14\/(-3). Let d = c + 4. Let z(x) = -x**2 - 45*x + 686. Let s be z(12). Put -3, d, 1, s in decreasing order.\nAnswer: s, 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 1, g: 1, f: 1, n: 1, q: 2}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -25.6, -1, 0.521, 0 in descending order.\nAnswer: 0.521, 0.2, 0, -1, -25.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 7*w - 6. Let o(j) = j**2 - 2*j + 2. Let v be o(2). Let s(k) = -1 - 14*k**v - 3 + 6 + 15 + 20*k. Let g = -13 + 7. Give g*s(z) - 17*y(z).\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = -2*i, y - 49 = -4*y - 3*i. What is the greatest common divisor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -109*s - 1. Let t(a) = a**2 + a - 7. Let w be (-4 + (-9)\/(-2))\/(3\/(-18)). Let v be t(w). What is the tens digit of f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r - 12. Let c be p(-9). Suppose 0 = c*l - 58*l - 420. Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614797334?\nAnswer: 2, 4397, 69911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1489.02 - -3.\nAnswer: -1486.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4312 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -442 + 240.2. Let a = -202 - g. Let b = -1 + 7\/3. What is the third smallest value in 5, b, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*a + 0 + 5 = -643*a - 5*p, -a + 3 = -3*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -42, -21669 in ascending order.\nAnswer: -21669, -42, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 9*c - 5*c. What is the tens digit of (-170)\/(-2 + 0 - c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ggggzxmz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 441563 to the power of 1\/2, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 5. Let n(m) = m**3 - 7*m**2 - 7*m + 8. Let b be n(8). Let u = d - b. What is the smallest common multiple of u and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1004\/44 + 4\/22. Suppose g - l = 3, -l = -3*g - 6*l - d. Find the common denominator of g\/((-24)\/356) + -2 and -83\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (237 - 254) + (3 - 45) - 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/52 and 8\/91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*h + 32 = 2*s, -2*h = -4*s + 34. Let o be (-2)\/s - 4\/(-18). Suppose 9*j - 1 = 8*j. Sort o, 3, j in increasing order.\nAnswer: o, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/9 and -40\/77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2487*g = -1996*g - 14239 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 94206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5052\/(-421)*3\/(-2574).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2365.\nAnswer: -1\/2365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 - (3 + -10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*b**2 - 1 + 13*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 164*b + 1806. Let m be c(-11). Factor -3*u - 18\/7 + 9\/7*u**m.\nAnswer: 3*(u - 3)*(3*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3465\/27 + 5)\/((-8)\/231780). What is t rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -22, -398, 3\/2, 651 in descending order.\nAnswer: 651, 4, 3\/2, -4, -22, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 4:51 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8200466 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7 - 9 = 5*s, 0 = 3*o - s - 1. Suppose 4*t - t = 0. Let i be 2\/6 - 11\/51. What is the closest to o in i, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*l + 21*l + 4*w + 4, 5*l + 4*w = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 12 - 16. Solve -r*x = -3*l + 11, -7*x = -3*x + 4*l + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 2*n**2 - 3*n. Let u be d(-3). Suppose -w - w + 8 = u. Suppose 10 + 10 = w*g. Solve -t + 20 = -g*y, 2*y = -3 - 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Suppose -3*u - g + 11 = 0, -x*u + g = -4*g - 5. Suppose 5*b = -4*c + 20, -19 = -4*b - c - u. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3663525 centuries?\nAnswer: 36.63525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h**2 + 7*h + 3. Determine y(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 4:20 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122, -481, -1080, -1919?\n\"Answer: -120*v**2 + v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(450)*-2)\/(sqrt(54)\/(sqrt(9) + sqrt(36)\/sqrt(4))))**2.\nAnswer: -160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*v + 27 = 0, -13*v = 3*g + 1151 - 1124 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6054450048.0002251 + 6054445347. Let b = t - -4701. What is b rounded to 5 dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*2\/27 + (-2185)\/(-9). Let s = j + -971\/4. Suppose -s*t**2 + 0 - 1\/4*t**3 + 0*t = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p**(-33)*p)\/p))\/p*p**(1\/4)\/p assuming p is positive.\nAnswer: p**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 1748*t + 1746.\nAnswer: 2*(t - 873)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/12 and -109\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 138 + 2*y**3 - 138.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**(-3)*d))**(8\/3)*d\/(d\/(d*d\/((d\/(d**10*d))\/d)))*d*d**(-1\/3)\/d assuming d is positive.\nAnswer: d**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332 by 83.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27380 = -854*d - 3364 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 10*a**2 + 13*a - 14. Let g = 4 - -5. Suppose -33 = 6*x - g*x. Calculate the smallest common multiple of 9 and z(x).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1032330 (base 4) to base 13\nAnswer: -23b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13515?\nAnswer: 3, 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7693 = -7*x + 17913. Does 62 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 + 339*t**2 - 2890*t + 6600 = 0. What is t?\nAnswer: -22, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7 - -6) + -7)\/(-4). Suppose -5*x + 4*t + 10 = -t, x - 5*t = h. Sort 8, 3, -3, x in ascending order.\nAnswer: -3, x, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 19. Let u be d(-20). Which is smaller: u or -20?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33561 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (11 - (19 + 8)) - 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1366340005 + -0.4.\nAnswer: -1366340005.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11722*b + 11803*b - 1134 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/11 and -47\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5753.\nAnswer: 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*v + 1770 + 2616 = 13*v + 434 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -42, -63, -84?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20*(-10)\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1)*(-145)\/(-1160)*7\/((-945)\/640)?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t. Let f(g) = 7*g**2 + 9*g - 1. Suppose a - 5 = 6*a. Let j(l) = a*f(l) - 5*y(l). Let i be j(-3). Sort 0, 3, i.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -48*i + 1 + 0 + 2 + 5*i. Let y be z(-11). Is 16 a factor of (-2)\/(-5) + y\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 - (-11 + (7 - -17))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/6 and 17\/171780.\nAnswer: 171780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -19 + 10 + 7 + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-162)\/8)*63\/(-84).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 7*m - 3*m. Find the common denominator of 45\/32 and 37 + -33 + 198\/m.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 6 + -2 + (2 - -10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-175))\/((12\/10)\/(-2))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 16*q**2 - 57*q - 13. Let x be 3 + 12 - (16 - 140\/20). Calculate o(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-10) - ((-268204)\/(-4940) - 56).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -h + 16, -h + 4*h = 4*a + 52. Let m = -2 + 4. Calculate the least common multiple of m and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*j*q*t**3 - j*q*t**2 - 9*j*t**4 - 1390*j*t**2 + 3*q*t**3 wrt t?\nAnswer: 108*j*q - 216*j*t + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6963088 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3083 and 1610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 + 5 + -13 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 1*sqrt(1700) + -3*sqrt(17)*6.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uliluuluhulluuuull. What is prob of sequence ullh?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 - 2*t**4 + 16*t - 5*t - 7 - 12*t as n*t**4 + f*t + m + p*t**2 + g*t**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21783*f**2*j**2 - f*j**2 - 12*f*j - 8*f - 7*j**2 wrt f.\nAnswer: 43566*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 2*u - 1. Let h be l(-2). Let f = 514 + -514. Suppose 2*o - 8 = 0, -o - 5 + 27 = -2*g. Sort g, f, h in decreasing order.\nAnswer: f, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - 39*m**2 - 68*m + 9. Let i(w) = w**3 - 13*w**2 - 23*w + 3. Let q(c) = -7*i(c) + 2*l(c). List the prime factors of q(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37682 + 26548. Round q to the nearest 100.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128 + -149)\/(-7 + 4) - 19 - 59.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 403425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*j + 901, 24*j = -5*z + 22*j + 4370. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3) + 2 + 42. Suppose 0*h - g - 150 = 5*h, 2*h + z = 3*g. Let n = h - -43. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -33*c**3 + 7*c**2 - c - 5. Let m be p(-5). Let t be (120\/2)\/((-3)\/m). Round t to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -11 (b) 3\/22 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-12)\/2312*-5) - (-14)\/(-105). Let l(a) = 4*a - 8. Let u be l(8). Let k be u*(2 + -1) + -2. Calculate the highest common divisor of k and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*l + 2*l**3 - 2 - 259*l - 160*l as p + m*l**2 + t*l + h*l**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -13*n - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -6, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:36 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 7.238.\nAnswer: 14.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-22) + (-6)\/(-66) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o = -62*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 132, 291, 514, 801, 1152, 1567?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Let n = 0.5 + -27.5. Let c = 28 + n. What is the closest to -1 in 5, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 27 + (-15 - -19). Suppose g - f = -7*g. Solve 0 = -3*t + g*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10689*s + 555875. Calculate r(-52).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*j - 5*t, 0*j = 5*j - t - 43. Let a = j + 13. Let k = a + -16. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 0.4, -0.5, -90, -3\/5 in ascending order.\nAnswer: -90, -3, -3\/5, -0.5, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73084 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {y: 2, g: 2, h: 7, p: 1, d: 7}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 7*o + 25. Give q(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -410 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let q(n) = -486*n**2 + 29*n + 7. What is q(s(w))?\nAnswer: -486*w**2 - 29*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 163 - 170 - (14 - -1) - (-3 + -5 + 2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/5 - (-2)\/5. Suppose z*r - 5*r - 4*j = -34, r + 2 = -4*j. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6377*d**2*h**3 - 2*d**2*h - 443*d*h**3 - 28*d*h - 118*d + 2*h - 12 wrt h.\nAnswer: 38262*d**2*h - 2658*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/4 + 23*r**3\/3 - 61*r**2\/2 + 28*r + 27. Let c be l(20). Solve c*a = 4*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)\/((((z\/z**(-1))\/z)\/z)\/z))\/(z\/(z*z**(-1)\/z)*z*z\/(z*z\/(z*z\/z**(1\/2))*z)*z))**(-16) assuming z is positive.\nAnswer: z**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.39 - -104.92. Let w = g + -1.53. Let p = w + -60. Which is the closest to -1\/4? (a) -2 (b) p (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(10) - ((sqrt(32)\/sqrt(4))**2 + sqrt(2))) + (sqrt(28)\/(1*sqrt(2)))\/sqrt(7))*-6.\nAnswer: -12*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 11*x**4\/12 + 11*x**3\/3 - 31*x**2\/2 - 9. Let b(c) be the second derivative of z(c). What is the derivative of b(k) wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (217\/(-14) - -10)\/((-2)\/4). Let k(x) = -x**3 + 13*x**2 - 24*x + 24. Let h be k(z). Solve p = -h*r - 7, -5*p = 4*r + 24 - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3588934 divided by 32926.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21521, 0, -5 in decreasing order.\nAnswer: 0, -5, -21521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.10089988075 + 0.1009. Round r to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.162514kg in tonnes?\nAnswer: 0.008162514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 1. Let d(j) = 5*j + 1. Let n(x) = -3*d(x) - 7*g(x). Let i be n(2). Suppose -6 = i*c, -4*w + 0 + 258 = -2*c. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -587 or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5112396, -10224778, -15337160, -20449542, -25561924, -30674306?\nAnswer: -35786688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:51 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -19 + 22 + 24 - (-1 - -9).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*t + 388, -4*y + 6*y + 256 = 2*t. Let p = -6 - -4. Let x be (-80)\/30*9\/p. Calculate the greatest common divisor of t and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 + j**2 + 266.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 8) to base 5\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 - t**2\/2 - 4*t. Let y(u) = 3*u**3. Let h = -8 + 6. Let f(x) = h*d(x) - y(x). Differentiate f(i) with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 1107?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 163553\/8 and 20445 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -341.8 - -372. Let c = w - 35.12. What is c rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 5*o**2 - 7*o**2 - 3*o**3 + 2*o**3. Let v = -3 - -3. Suppose v = -4*z - 2 - 6. What is u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.9. Let i = y + 0. Let f = 1811 - 1807. Sort 0.2, i, f.\nAnswer: i, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 - 38*s + 2*s**2 - 8\/3*s**3 - 3\/4*s**4. Solve b(a) = 0 for a.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8413 and 5.\nAnswer: 42065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 5*b - 2. Let s be c(3). Solve -32 = 4*g - 0*g - 3*t, -4 = 4*g + s*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424557135.\nAnswer: 5, 7, 11, 13, 89, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k + 22 = 3*y, y + 6 = 5*k. Let j = 4.92 - -0.08. Put y, -2, j in decreasing order.\nAnswer: j, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5 - 2. Let x(v) = -m*v - v - v. Let l(s) = -5*s**2. Calculate l(x(z)).\nAnswer: -125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 131370\nAnswer: 19\/43790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1041414304 - 1?\nAnswer: -1041414310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/2? (a) -0.4 (b) -2\/7 (c) 0.4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16*r**2 + 8*r - 8. Let z(p) = -5*p**2 - 3*p + 3. Let b(n) = 3*a(n) + 8*z(n). Let h(d) = -d. Give h(b(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*f + 568577 - 568577 + 69*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n\/(n*n**(-2\/11))*n)\/(n**(-28)*n))\/(n**(-21)*n\/((n*n**(-2\/59))\/n)))**50 assuming n is positive.\nAnswer: n**(1627300\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 158*q - 159*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.2, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -92212*2\nAnswer: -184424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 1672.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5.7. Let l = -15 - -18. Put 5, d, l in increasing order.\nAnswer: d, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/8)\/(27\/(-72)))\/(44\/1056)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcxd when four letters picked without replacement from {c: 1, x: 4, v: 1, d: 1, y: 4, m: 1}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -59. What is the highest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 7*n - 5. Let b be x(12). Find the third derivative of m**6 + 0*m**6 - 46*m**2 + b*m**2 wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13153912 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 100 + -13 + -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*j = 14, -6*o + o + 10 = -4*j. What is the remainder when 89\/(3 - (o - -4)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 227?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 53*i**2\/2 - 4*i + 3. Suppose -a + 2*n = 6, 2*n = -2*a - 0 + 12. What is the units digit of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144042934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(441))\/sqrt(7) + (-1 + sqrt(112) - -1*(2 + sqrt(7)))**2.\nAnswer: 7*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w - 44. Calculate the remainder when 167 is divided by c(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/12)\/(2\/3). What is the second biggest value in 0.01, 4, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3\/4, 323, 0.151, 0.1.\nAnswer: -3\/4, 0.1, 0.151, 1\/4, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23 (b) 2\/13 (c) -3.3 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 10*j**2 + 11*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-124740)*-45 + (-3)\/(2754\/705)\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 8*i + 13*i + 17*i - 11*i. Let z(j) = -6*j. Let y(g) = -2*g. Let d(v) = 12*y(v) - 5*z(v). Give d(r(b)).\nAnswer: 180*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 + 28\/36. Let y = p + -2. Let l(m) = -m**3 + m - 2. Let z be l(0). Sort y, 3, z in decreasing order.\nAnswer: 3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78690043.58 rounded to the nearest one hundred thousand?\nAnswer: -78700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = -c - 172. What is the tens digit of 3\/(-2) + (-4)\/8 - c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.89, -4\/7, 5\/89, -4 in decreasing order.\nAnswer: 10.89, 5\/89, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2589 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 612071343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2\/3 - 21104*h\/3 - 42256 = 0 for h.\nAnswer: -6, 5282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*c + 4*c. Find the first derivative of 9*f**4 - 10*f**4 + 34 + c*f**4 wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*j + 5023 - 1129. Let t = -122 - j. Let a(k) = -k**3 - 5*k**2 - 5*k. Determine a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -15*l - 18. Calculate the remainder when 73 is divided by m(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -68, -75, -62, -23, 48, 157, 310?\n\"Answer: k**3 + k**2 - 31*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*c - 47, -9*x - 3*c + 6 + 114 = 0. Solve 0 + 10 = 3*n - 2*j, 4*n - 5*j = x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462894, 925786, 1388678, 1851570, 2314462?\nAnswer: 2777354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 730202, 3\/5 in descending order.\nAnswer: 730202, 4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/1653 - -4961\/3306. Factor 5\/2*x**3 + 7\/6*x**2 + t*x**4 + 0 + 1\/6*x.\nAnswer: x*(x + 1)*(3*x + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2379*p - 9641. Give w(4).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**2 - 5. Let s(g) = 10*g**2 - 8. Let i(d) = -8*h(d) + 5*s(d). Let k(v) be the first derivative of 2*v**2 + 2. Calculate i(k(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 7*g + 5. Let h be k(-7). Suppose -h*j - 3 = 2. Let m = 11 + j. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 + 17*z**2 - 10*z - 16. Let v(u) = 3*u**3 - 16*u**2 + 10*u + 16. Let o(d) = 5*h(d) + 6*v(d). Is o(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 1197*p**3 + 10554*p**2 + 9360*p.\nAnswer: 3*p*(p + 1)*(p + 8)*(p + 390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 102 = -b, 6 = 3*i - 6. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:53 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2. Suppose s + 3*h - 1 = 0, -2*s + h = -3*h - 2. Let p(c) = 3*c. Let b(o) = s*p(o) + 4*y(o). Find the second derivative of b(v) wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s + 2816 - 2566 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -169\/3 (b) 3\/37 (c) -2 (d) -83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from varggusu. What is prob of picking 2 g and 1 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 306\/24 + 3\/(-4). Let w = f - -78. Let l be (w\/24)\/((-9)\/(-8)). Is l bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 5*r**2 + 4*r - 4. Let a be -2 + (2 - -5) + -2. What is l(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 26*n - 61. Is v(27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23531055 and 3660?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-32)\/108*(-63900)\/1136?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 112, 218, 324?\n\"Answer: 106*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9175*g**2*p**3 + 12*g**2 - 2*g*p + 2*p**3 + 154*p + 6 wrt p.\nAnswer: -55050*g**2*p + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2108 and 64821.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/360 - -3\/40. Let i(r) be the third derivative of -1\/180*r**6 + 0*r**5 + 0*r + 0 + x*r**4 + 0*r**3 - 3*r**2. Find f, given that i(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88078 or 88178?\nAnswer: 88178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -311 + 437. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1.27. Round s to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 54.40539 milligrams?\nAnswer: 0.00005440539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l - 4*k, l - 12 = -l - 4*k. Solve -l*w - 2*r = 3*w + 35, -2*w - 20 = 2*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6103 + 73169\/12. Find the common denominator of 11 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 60*c**2 + 19200*c - 389120.\nAnswer: -5*(c - 32)**2*(c + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 3*g + 5*g**3 - 4*g**3 + 4 + 3*g**4 - 7 to the form o*g**3 + d*g + i + j*g**2 + n*g**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*5\/100*-4*-5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263 + -252420?\nAnswer: -253013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, b: 3}. What is prob of sequence bn?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129614 is divided by 9172.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.857 to 2 decimal places.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/56*-6)\/((132\/16)\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12130203101 (base 4) to base 8\nAnswer: -6344321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 9*t + 3*t**2 + 4 - 3*t.\nAnswer: 3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3997 and 51\/2.\nAnswer: 7994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*w**3 + 176*w**3 + 79*w**3)*(3*w + 1 - 1) + 2*w**2 - w**4 - 2*w**2 + (0 + 0 - w**3)*(-w + 3*w - w).\nAnswer: 838*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 33*w - 198. Let c be v(6). Put -19, c, 3 in descending order.\nAnswer: 3, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887 + 2351 = -6*l. Is l at most -238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 6845\/151?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4362, 17238, 38622, 68514, 106914, 153822, 209238?\n\"Answer: 4254*s**2 + 114*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from papapapapaaaaa. What is prob of picking 2 a?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 868 - 629. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n + 24 = -67*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**3 - 2*u + 4. Let y(o) = -6*o**3 + 2*o - 5. Calculate -5*r(t) - 4*y(t).\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -1\/96*z**4 - 1\/240*z**5 + 0*z**3 + 0*z + 1\/2*z**2 - 3. Let n(t) be the second derivative of h(t). Factor n(v).\nAnswer: -v*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n + 3 + 0*n - 5 - 2*n to u + h*n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:15 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 63?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*b + 1 + 74*b + 66*b.\nAnswer: -7*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 41565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5692 - 5664. Solve 5*h - 8*h + i = -2, 5*i = -4*h + s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/7 - 2\/7. Suppose u*w = 52 + 38. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 315\/(0 - 15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 564447 and 42640?\nAnswer: 45155760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, 5\/13, 2, 0.33?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -1.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13788, -13890, -14060, -14298, -14604, -14978?\nAnswer: -15420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ea1 (base 15) in base 3?\nAnswer: 11112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -18*k**2 - 17*k + 4. Let j(g) = 14*g**2 + 11*g - 5. What is -3*j(p) - 4*m(p)?\nAnswer: 30*p**2 + 35*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*i + 2*a, -3*a - 1361 + 1365 = i - a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11093 * 108.8.\nAnswer: 1206918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83.71 - -83. Let y = k - -0.51. Let g = 2 - 3. What is the closest to 2\/3 in 2, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 6*i + 3. Let p be x(6). Suppose -p*s + 31 + 14 = 0. Is 961 - (-4)\/(-5)*s\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 377 - 377.0000133. What is j rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + 5 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(-3*sqrt(175)) + ((sqrt(280) - (sqrt(280)*-4 - sqrt(280)))\/sqrt(10) - sqrt(28)))**2.\nAnswer: 155407\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l**3 + 10*l - 2. What is the lowest common multiple of 14 and c(-3)?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 - 232?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9339 + 2.6.\nAnswer: -9336.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 12:02 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 170457 divided by 10\nAnswer: 170457\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738418438?\nAnswer: 2, 3, 7, 29, 2248291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1269464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.099 in -18, -2.3, -221?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8565003, 8564910, 8564755, 8564538, 8564259?\nAnswer: 8563918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*r - q - 11, -4*r + 5*q = 22. Let t(i) = 203*i**2 - 35*i + 35. Let n(z) = 12*z**2 - 2*z + 2. Calculate r*t(w) - 35*n(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 936108629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -113*y**3 - 11677*y**4 - 40*y**3 - 185*y**3 + 11675*y**4 = 0.\nAnswer: -169, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) -11\/94 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 762 + -461. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97*q**3*v - 53*q**3 - 13540*q**2*v - 15*q**2 - q*v - 2118*q - 3*v wrt v.\nAnswer: 97*q**3 - 13540*q**2 - q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = -142 + 246 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 4 - 4*s + 3*s. Let b(v) = v - 1. Let g(i) = -4*i + 13. Let o(u) = -2*b(u) - g(u). Suppose -h - 9 = 2*h. What is h*o(z) + 8*a(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3322, -2457, -1018, 995, 3582?\nAnswer: 6743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 733, 1512, 2341, 3220?\n\"Answer: 25*t**2 + 704*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 86 = 2*l - 30, 3*q = 2*l + 44. Solve -17*v - 20 = -q*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 14. Let u(s) = s + 5. What is 6*o(a) - 17*u(a)?\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times -0.8?\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3817?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 327032761\/644 - 507815. Find the common denominator of 65\/368 and l.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -m. Suppose 0*f = 3*f + 3, -m*o + 18 = -4*f. Suppose -8 = 3*r - 5*r. What is the remainder when o is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 77.6. Let g = -34 - k. Round g to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-3 + sqrt(128)*-1 - sqrt(128)) + 2 - (2*(sqrt(128) + sqrt(128)*-1) + sqrt(128) + -1 + sqrt(128) + sqrt(128)*2 + sqrt(128) + sqrt(128)))**2)*-6.\nAnswer: -49176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d - 5. Let s(p) = 5*p + 2. Let r(c) = -5*s(c) - 2*z(c). Let g(a) = 2*a + 38. Calculate r(g(k)).\nAnswer: -6*k - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.96 times 0.09\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(4 + -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*g + 3*g + 2*m, -3*g = 3*m - 45. Let s = -14 + g. Suppose 0*t = 3*t - 9. Put t, 4, s in ascending order.\nAnswer: s, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 5*d + 13, -3*d - 2*d - 43 = 38*b - 44*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25657+-848\nAnswer: 24809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 2\/4 + (-182)\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235*c**3*r**3 + 222*c**3 with respect to r.\nAnswer: 705*c**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -1 - 1\/6*l**3 - 1\/2*l**2 - 1\/48*l**4 - l. Let z(j) be the first derivative of n(j). Determine f so that z(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10*2\/4 - 34875\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3*q**5\/5 - 3*q**4\/2 - q**3 + 3*q**2 - 2. What is m in d(m) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6956*b**2 + 1335552*b - 25. What is f(-192)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/(-12) - -6 - 40\/(-69). Let u be (-2 + 1 + 3)\/(-2). Do u and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, t: 14}. Give prob of picking 3 n.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83.3*125.\nAnswer: -10412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, n: 5}. What is prob of picking 1 h and 1 n?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -23465?\nAnswer: -23465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33170 and 10.\nAnswer: -33160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from lffqlr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/130 + 19*l**4\/78 - 89*l**3\/39 + 69*l**2\/13 - 5005*l. Factor i(h).\nAnswer: 2*(h - 3)*(h - 1)*(h + 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -25. Let t = -11 + l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 57*l**3 + 143*l**3 + 4 - 8 - 80*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 6*l**2 + 3*l**2)*(-2 - 2 + 5)*(6*l - 3*l - 4*l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181866304.\nAnswer: 2, 229, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/8)\/u**15)\/(u**(-6\/5)\/(((u\/u**7)\/u)\/u)) assuming u is positive.\nAnswer: u**(-877\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 7. Suppose 528 = 2*l - 10*l. Let y be 9 - 10\/4*l\/(-55). Calculate k(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/26 and -31\/7.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 20002?\nAnswer: 20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o + 1. Let g be 33\/(-27) - 6\/(-27). Let b(v) = 4*v**2 - 5*v + 4. What is g*b(a) + 5*l(a)?\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/120 + 19*m**5\/60 - 7*m**4\/8 - 9*m**3\/2 - 3*m**2 + 2*m + 102. Determine j(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 199822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 13*x**2 - 22*x - 54. Determine d(-4).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, -309, -11, -4 in increasing order.\nAnswer: -309, -11, -4, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 10524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 7*h**2 - 8*h - 8. Let b be i(-6). Suppose 2*w + 28 = u, 32 = -3*u + b*u - w. Calculate the lowest common multiple of u and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3*(-1)\/(-180)). Let l = -144 + 148. Suppose -4*d - n = -4*r, 0*d - 26 = -2*r + l*d. What is the lowest common multiple of r and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183786793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) -1064537 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 * -13\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 33, 49, 65?\n\"Answer: 16*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15976061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 10 - 10. Let d(p) = -7*p**3 - 6*p**2 - 6*p - 2. Let c be d(f). Find the common denominator of 6\/(-39) - c\/(-312) and 65\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 3*d. Let m = d - -8. What is the highest common divisor of m and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24139 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57\/7*i + 3\/7*i**3 - 33\/7*i**2 - 27\/7.\nAnswer: 3*(i - 9)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -1. Let t = 27.8641 - 0.0641. Let g = 27.6 - t. Which is the closest to j? (a) -3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 10*z - 70*z + 1.\nAnswer: -89*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 62*a**2 + 7. Let f(v) = 61*v**2 + 8. Let g(l) = -6*f(l) + 7*r(l). Differentiate g(o) with respect to o.\nAnswer: 136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let w(s) = -1448*s**2. Determine n(w(m)).\nAnswer: 1448*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3779623 is divided by 85897.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3169 + 2838. Is -332 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 0*i**2 + 190*i - 111*i - 28*i - 3*i**2 - 56*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 smaller than 2186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*p - 19*p - 54*p - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 113, 291, 579, 971, 1461, 2043, 2711?\n\"Answer: -r**3 + 61*r**2 + 2*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1909 - 1.1909. Which is the closest to -1\/5? (a) n (b) -16 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**4\/114 - 2*h**3\/57 - 8*h**2\/19 - 148*h - 280. Let o(t) be the first derivative of c(t). Factor o(p).\nAnswer: 2*(p - 4)*(p + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275402159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*g = -30, 111*a - 113*a - 4*g - 26 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**1)\/u*u*u*u**(-5\/4)\/u*u)**28 assuming u is positive.\nAnswer: u**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -377232.\nAnswer: -17\/125744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 7. Suppose -4*p + 117 = -13*p. Let s(a) = -1 - 5 - a - a - 9. Determine p*l(x) - 6*s(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303336*3.\nAnswer: -910008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6 - 6. Let b(w) be the second derivative of w + 1\/6*w**3 + 0*w**a - 3\/20*w**5 + 0 + 0*w**2. What is the second derivative of b(x) wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2529 and 240536?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence corm when four letters picked without replacement from cloccrlwmww?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/45)\/((-12)\/9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-2) + 4)\/(-1). Solve i*k - 14 = 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000378903 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4368 and 1888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*k + k = -336, 0 = 2*y + k - 135. Let h = -40 + y. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100011111000101 + 1001111?\nAnswer: 101100100000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 + 111?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3555.625 nanoseconds?\nAnswer: 3.555625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.31212 - -15.46088. Round n to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9258)\/(-27774)*7\/5.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969135 is divided by 260?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b + 1. Suppose 5 - 25 = -2*m - 2*z, -2*m + 3*z + 45 = 0. Let v(r) = -6*r**2 - 5*r + 5. Determine m*a(o) - 3*v(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9521115 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1\/4, -15, -1\/5, 20.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1764 and 98729\/56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = j + 9, -5*j + t + 17 = -3*j. Let k be (-3955)\/(-49) + j\/21. Let m = k + -75. Solve 4*f + 5*w = 45, -1 = 2*f - w - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*(-12)\/20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (-47 + -50) - 26?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 1. Give w(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 0*x + x - 2 + 2*x**2)*(-x - 2*x - 3*x) as t*x**3 + u*x**2 + n + v*x and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-7 - 6 + 7)*(5*i - 4*i + 4*i)*(-2 - 2 - 2)*(i + i + 0*i) as s*i**2 + l*i + w and give s.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 2*d**2 - d - 1. Let o be a(3). Suppose 21*t - 27*t = -36. Solve 2*y + 2*r = t, 5*y + 0*y + r = -o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + (sqrt(18) + 3 + sqrt(18) - sqrt(18)))*6 - (sqrt(198)\/(sqrt(11) + -4*sqrt(11)) - (sqrt(18) - (sqrt(18) - (2*sqrt(18) + 2)))))**2.\nAnswer: 9628*sqrt(2) + 17142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 49, 141, 317, 607, 1041, 1649, 2461?\nAnswer: 3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsk when three letters picked without replacement from {z: 1, g: 2, s: 2, k: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-14))\/(12\/8 - 1). Sort -7, -4, r, -2 in decreasing order.\nAnswer: r, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) - (-126)\/108 - 1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419976.75 + -0.4.\nAnswer: -419977.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 8*o**2 - 4*o - 12. Let c = 11 - 8. Calculate the remainder when r(7) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/3)\/(-3*27\/84321) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -1\/4*v**4 - 2*v**2 + 4*v**3 - 3 - v. Is t(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44.34495 + 0.04495. Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26685*d = 26674*d + 510235. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**8\/20160 - i**7\/1680 + i**6\/360 - i**5\/12 + i**2. Let c(v) be the third derivative of h(v). Solve c(d) = 0 for d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65037665 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/673?\nAnswer: 1\/673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*y**3 + y**2 + 544*y - 228690.\nAnswer: -216*y**2 + 2*y + 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**3 + t**2 + 3*t - 3. Let y = 157 + -132. Let q(x) = -2*x**2 + 11*x**3 - 33 + 5*x**2 + 8*x + 50 - y. Calculate -8*p(z) + 3*q(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 5\/2 (c) 1\/4 (d) -2\/9 (e) 0.2 (f) 40\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548314.\nAnswer: 2, 997, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.61 - -2.61. Sort a, -1, 4 in descending order.\nAnswer: 4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(320) + (1 + sqrt(320))**2*3 + sqrt(320).\nAnswer: 64*sqrt(5) + 963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2\/5 (c) -38 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q*(q**(2\/9)\/q)\/q)))\/(q\/((q\/q**3)\/q)))**(4\/15))**(14\/5))**(1\/31) assuming q is positive.\nAnswer: q**(-2408\/20925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 - 19*b**2 - 123)*(-b + 0*b + 16*b) + 4*b**3 - 5 + 5 + b**3 + 2*b**2 - 2*b**2.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.3558239 less than -0.02?\nAnswer: 154.3358239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/22 and -151\/157632.\nAnswer: 1733952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/12)\/(1\/(-2)). Let b(s) = s + 1. Let t(f) = -f**2 - f - 1. Let c(v) = q*b(v) - t(v). Let c(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1251 + -1245. Put f, 2, 26, 0 in descending order.\nAnswer: 26, f, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 72?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.4 + 51. Let x = -6\/25 - 13\/50. What is the closest to x in 0.2, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 2316620679?\nAnswer: 2316620679.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15081 less than 15080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*o + 587 - 2261 + 515 + 580 + 579 - 2*o**2.\nAnswer: -2*o**2 - 217*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23695 * 7.28\nAnswer: -172499.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 + 6*r**2 + r**2 - 38 - 7*r**2 - 7*r**2 + 5*r**2.\nAnswer: -2*r**2 + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 22453230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.85148 nanoseconds to milliseconds.\nAnswer: 0.00000085148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 - 6*l + 6. Let u be i(3). Let z be u\/(-51) + (-514)\/(-34). Solve 3*o + v - 11 = 0, 0 = -o - 2*o - 3*v + z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80353524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 - (-9 + 18 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 6*g + 5*g. Let u(c) be the second derivative of 0*c**2 + 0 + 46*c - 1\/6*c**4 + 0*c**3. Give u(q(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + z + 2. Let u be d(-2). Let p be u\/(-10)*5\/2. Suppose 23 = 6*m - p. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 52 = -393 - 65 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:56 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68.44 + 68.440007594. What is d rounded to 7 dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:30 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71779, -70882, -69987, -69094, -68203, -67314?\nAnswer: -66427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.129, 3, -53\/4?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 21. What is the biggest value in -1\/3, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-340) + (-37)\/119?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/7 (c) 2 (d) -0.36 (e) 119\/2 (f) -0.8 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + -0.37. Let w be 1\/(-9)*(-18)\/39. Let a = 5\/13 - w. What is the third biggest value in s, a, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/307 or 0?\nAnswer: -13\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) + 63\/45 + -3. Let d = -35\/8 - -111\/40. Is f at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 1, r: 3, p: 2, z: 1}. What is prob of picking 1 r and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t = -11*t - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -4 (c) 0.44151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -33. Suppose -5*z - 15 = 5*u, z - 21 = -5*u + 5*z. Suppose -a + u = 3, n - 4*a = 108. What is the highest common divisor of n and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 19 - 19)*(-4*p**3 + 2*p**3 + 0*p**3 + (1 - 2*p**3 - 1)*(2 + 3 - 4)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300 or 2279?\nAnswer: 2279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294034 + -57999. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1068*p - 8. Let g be 74\/4 + (-1)\/2. Suppose g = -2*x + 3*j, -15 = 5*x + 2*j + 11. Let i be b(x). What is i rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2022510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:26 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 2*p**2 - 12*p - 5. Let s be l(-3). Suppose -s - 48 = 5*v. Let h = -2.1 + 2. Which is bigger: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13304 + 14645.4. Round l to the nearest 10.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -563*s**2 + 194*s wrt s?\nAnswer: -1126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 5*u - 8. Let b be k(-8). Let p be b\/(-30)*6\/8. Let z = -102184.9 + 102186. Are p and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 + 1176*z - 3254*z + 904*z + 1174*z + 56*z**3.\nAnswer: 70*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(((-118)\/708)\/((-524)\/(-24)))?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -12*c + 88. Solve 1 = a - 5*l, -5*l - c = 2*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2150)\/(-1104) - (3 + -1). Let c = j + 1\/92. Is c at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 496, 1353, 2836, 5107?\nAnswer: 8328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 74\/7, 0 in ascending order.\nAnswer: 0, 74\/7, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 172, 164, 156, 148?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 2*a**2 + 8*a + 7. Let j be l(-4). Let i(m) = -13 - 10 - 3*m + j + 2*m. Determine i(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145383?\nAnswer: 3, 137, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**2. Let o = -4 - -6. Suppose -o*l - 2 = 3*b + 2*b, -2*l = -2*b + 2. Let c(r) = b*r**2 - 3*r**2 + r**2 + 0*r**2. Calculate c(x(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32142.025 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 5*u**2 + 6*u + 5. Suppose 0 = -4*i + 3*i + 3*f - 33, 3*f = -5*i - 75. Let c be i\/(-24) + (-54)\/8. Calculate l(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.484 - -4.444. What is the biggest value in 4, 1\/8, 49, z?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*(-18)\/(-4). Let w(y) = -1 + 1 + 2989*y - 5977*y - 2 + 2987*y. What is w(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 36*g**2 + 28. Let o be d(-36). Solve -3*l + o = -10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 14*f - 13*f)*(38*f**2 - 2*f**3 + 4*f**3 - 156*f**2) as q + o*f**2 + t*f**3 + p*f + j*f**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 11*a + 11*a + (-2*a**2 - 2*a**3 + 2*a**2)*(1 - 2 + 4).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-5)\/(-5)*-4. Suppose 10*w = 7*w - u*w. Which is smaller: w or 2\/217?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-1 - 20) + (41 + -64 - -31)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-293 - -299)*(2\/6 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - -2) + -2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-23 + -12 + 23)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.612 - 0.412. What is the nearest to -1 in -2\/5, 5, 0, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 6*n - n. Which is greater: -2\/57 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 8 = 16*p - 5*m, -5*p = -5*m + 40 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 57*k - 11. Let w = -57 - -60. What is the tens digit of x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**6\/360 + o**5\/15 + o**4\/4 - 2*o**3\/3 + 1. Let n(f) be the third derivative of j(f). List the prime factors of n(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*j**3 + 105*j**3 - 42*j**3 + 52*j**3 + 26*j**3)*(4*j - 20*j - 4*j).\nAnswer: -4700*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*g + 23, 41 = -5*g + z + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 27*z**2 - 1. Let c(y) = 54*y**2 - 2. Let u(d) = -2*c(d) + 5*t(d). What is the remainder when 101 is divided by u(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -204545118\/17 or -12032066?\nAnswer: -204545118\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/111218 or 2\/15?\nAnswer: 1\/111218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2918*g - 4064 = -2410*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15. Suppose -5*z + 3*c - 7*c + 13 = v, -2*z - 8 = -5*c. Solve l + 2 + z = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -31. Suppose 2*y - 519 = -b*h, 2*y + 783 = 5*y + 3*h. What is the highest common factor of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.9 + 44. Let v = -192\/5 - -1349\/35. Put -0.2, v, j, 5 in increasing order.\nAnswer: -0.2, j, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n + 74. Let g(z) = -z**3 + 3*z**2 + 92*z - 37. Let t be g(11). Determine p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6559*f**3*u**2 + 2*f**2*u**2 - 120*f**2 + f*u**2 - 3*f*u - 236*f + 21*u**2 - u wrt f.\nAnswer: -39354*f*u**2 + 4*u**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3 + 3\/2*v**2 - 10 - 1\/4*v**4 + 10*v. Is x(-6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -126*y - 315. What is the thousands digit of l(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4813.2575 + -4805. Let m = 2.25 - g. Let h = m - -6. Round h to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1*171\/(-342))\/((-1)\/(-16))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 6*s - 5. Let p be w(6). Sort p, 5, 3.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/30)\/(2\/(-12)). Let h be (-95)\/(-20) + l\/4. Suppose -115 - 45 = -h*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -14. Let p(j) = -9*j - 9. Let q be p(h). Solve 2*z = -2*z + 5*g - 9, 4*z = -4*g + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 747*y**2 - 675*y**2 - 319*y**2 + 260*y**2.\nAnswer: -1481*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/132)\/(2\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5897 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 46493836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t**2. Let x(l) = -15*l**2 - 7*l. What is x(m(f))?\nAnswer: -7260*f**4 - 154*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 8\/(-1)*-1. Suppose g*b = 3*b + 58. Let d = -11 - -16. Solve 2*x - 6*x - 4*h - 4 = 0, h = d*x + b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588 (base 9) to base 5\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265593005?\nAnswer: 5, 47, 463, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589989383 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:16 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -13*j + 8*j - 20*j - 840 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 2 - (7 - 12). Suppose -4*z + a*q = 8, 7*z + 20 = 8*z + 5*q. Solve 8 = 2*m - z*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 61417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.038, -12, 1\/4 in ascending order.\nAnswer: -12, 0.038, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 14 + 13)*(-3*t - t + 5*t - 3*t + 4*t + t + (1 - 1 + 2*t)*(4 - 2 - 3) - 5*t + 0*t + 4*t + 2*t - 1 + 1 + 0*t - 2*t + 3*t + 0*t - 3*t + 2*t).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2 - -6)) + 7\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -43 - (-70 - -98).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136489.198 rounded to the nearest one hundred?\nAnswer: 136500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (3 - 0) - -6. What is the second derivative of -4*o - r*o**2 - 7*o + 3*o wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 + 2)) + 14 + -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14451.\nAnswer: 3, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48425 is divided by 24210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z = 23*z - 2. Put z, 4, 0.2, 1\/210 in ascending order.\nAnswer: z, 1\/210, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 62009888.\nAnswer: 434069216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 801 from 2.98624.\nAnswer: -798.01376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 13 - 3 = 0. Is 9 a factor of 3 - (1500\/s - (2 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1 + 8*t - t - t. Give d(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 0. Suppose -3*p = 9, 5*s + k*p = 2*p + 31. Suppose 0 = s*y - 378 + 28. Calculate the remainder when y is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-13 - -8 - (3 - 0))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 9*h**2 + 8. Suppose t = 5*c + 21, 0 = 4*t + 3*c - 0*c - 38. Suppose 10 = 3*d - t. Does 29 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 - 2*p**2 + 13*p + 23 - 2*p**2 + 22. Is n(-18) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8461, 16936, 25387, 33802, 42169, 50476, 58711?\nAnswer: 66862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 6. Let d(w) = 8*w + 17. Suppose -5 = 4*b - 29. Suppose 3*m = 7*m - 68. What is b*d(t) + m*p(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12284, 7, 23 in decreasing order.\nAnswer: 23, 7, -12284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x + 6*x**5 - 13\/2*x**2 + 0*x**4 + 0*x**3 - 16. Find the second derivative of v(k) wrt k.\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/5 + 26*q**2 - 136*q\/5 - 264\/5 = 0. What is q?\nAnswer: -66, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -3122?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14395016 to the power of 1\/2, to the nearest integer?\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**2 + 6 - 45*f - 65*f - 21 + 98*f = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*o*s - 17*m**2*o - 8*m**2*s + 7*m**2 - 5*m*s + m + o*s - 616*o - 37*s wrt o.\nAnswer: -m**2*s - 17*m**2 + s - 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**3 - q + 2. Let h be 0\/(0 - 3 - -8). Suppose 0*i + 4 = 2*i. Suppose -5*b - 3*f - 4 = 0, -4*b + h = i*f + 4. Calculate s(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3256*v + 770 = 2486*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)\/(p\/(p\/p**(-9)))*p**(4\/7)*(p*p**(2\/5))\/p*p assuming p is positive.\nAnswer: p**(1187\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-430)\/(-86)*((-36)\/(-15))\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhqihqtqqqqqtoiqot. What is prob of picking 1 q, 1 t, 1 i, and 1 h?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 - 254 + 187 - 371)*(-p**3 + p**3 - p**3) as r*p + b*p**3 + g + i*p**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 17*y**2 - 21*y - 76. Let a be x(-16). Solve a = 4*b + 4*g, -b - 14 = -3*g + g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) + sqrt(8)*-1)*3 + sqrt(8))*-6)\/((sqrt(8) + sqrt(392) + 1*sqrt(392))\/sqrt(2)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34119396 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v + 4*q - 256, -8 = -2*q. Suppose 3*x + 2*s = v + 105, 0 = -5*x - s + 306. Let d = x - 132. What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -3868, -10290, -21142, -37498, -60432, -91018, -130330?\nAnswer: -179442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-5) + (-67302)\/(-90).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-4))\/((-30)\/(-975)). Let g = s + 379. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-765)*-9*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435131043?\nAnswer: 3, 23, 137, 191, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(((-1)\/(-2))\/(-1)). Suppose -v - 3 = -m. What is the least common multiple of 2 + (-308)\/147 - 88\/(-42) and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 40 = -5*s, -1248*i - 32 = -1248*i + 4*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269469, -542691, -815913, -1089135, -1362357, -1635579?\nAnswer: -1908801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4*w - 36*h**4 - 3235*h**3*w - h**3 + 12151*h**2*w - 23*w wrt h.\nAnswer: 24*h*w - 864*h - 19410*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555000450 (base 6) to base 16.\nAnswer: -99106e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 8:39 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 437. Let g(r) = -1. What is -4*g(d) + n(d)?\nAnswer: d + 441","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qktkaey. What is prob of picking 1 k and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*x - 5, -4*k + 3*x = k - 10. Solve k*z - 3*z - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35353612 and 5.\nAnswer: 176768060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9712 is divided by 2205?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462369185?\nAnswer: 5, 29, 31, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/(-320)*(-6072)\/(-207).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9827745.\nAnswer: 3, 5, 103, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttotttctoctzt. What is prob of picking 1 o and 1 z?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*(-3)\/(-7)*273\/390. What is the second biggest value in o, -3, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 2, u: 6, x: 3, w: 5, q: 3}. What is prob of picking 1 b, 1 l, and 1 q?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 a factor of 39659846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2. Let n(t) = 50*t + 2. What is h(n(m))?\nAnswer: -2500*m**2 - 200*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose 7*m - 2 = 6*m. Solve m*p - q*p = 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 967 - 14503\/15. Which is the nearest to 1? (a) 0.5 (b) 1 (c) l (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*t = -66*t - 3052 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 divided by -23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2417 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.31 - -0.31. Let d = -115 - -113. What is the smallest value in d, z, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29957 + -29945. Which is the smallest value? (a) d (b) -53 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 840 + -266. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20364 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 8*p. Let j be w(7). Let q(b) = -5*b**2 + 4*b - 5. Let r be q(j). Calculate the remainder when (8\/(-12))\/(4\/r) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.152 - -1.152. Let r = -28 + 31. What is the second biggest value in b, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3415, -3416, -3417, -3418?\n\"Answer: -w - 3414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.222 + 5.222. Let k = -239 - -234. Sort t, -2, k, 1\/3 in increasing order.\nAnswer: k, -2, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 2*w - 1. Let u be z(-2). Suppose 0*s + u*s = 111. What is the highest common divisor of s and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1888 - 1091. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(5\/16)\/s))\/s*s*s*s*s**(-2\/5)*s assuming s is positive.\nAnswer: s**(263\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 389?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0 (c) 3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 2, 2\/13, -42, 19 in increasing order.\nAnswer: -42, -2.5, 2\/13, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164016 and 266526.\nAnswer: 2132208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6965779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/91)\/(1630\/10595).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3 - 520. Let q(f) = 2*f + 139. Determine q(l(i)).\nAnswer: -6*i**2 + 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.97. Let j = 0.7 - 0.6. Is y greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37\/14 - -15\/7. Let b be 4\/2 - (1 + -1). Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3945 = -2*s. What are the prime factors of s?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1992)\/(-5 + -1) - 2 and 14?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624595.9 micrograms in milligrams?\nAnswer: 624.5959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11633066*r**3 + 17*r**2 - 129*r - 151.\nAnswer: 69798396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:27 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.24 (b) 0.846 (c) 0.0116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572)*2*-6)\/(sqrt(77)\/sqrt(28)))\/((-1*(sqrt(144) + sqrt(144)*-5) - sqrt(144))*2).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-8))\/((-5)\/(-12620)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, 0.02, -4 in decreasing order.\nAnswer: 38, 4, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 1:25 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-12))\/(32\/6840*19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -650, -1514, -2748, -4364?\nAnswer: -6374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444\/666*(-6)\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 3*n)*(10 - 14 + 5 + 16*n).\nAnswer: -32*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130296\/103 + 1265. Let i = z - 195\/1133. Let b be (-2)\/(-2) - (-25)\/(-20). What is the third biggest value in 1\/8, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 228*y**3 + 529*y**3 - 158*y**3 as m*y**3 + c*y**2 + j + x*y and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*a + 42*a - 22 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**4\/24 - a**3 + 2*a**2. Let h(w) = -w**2 + 76*w - 1323. Let y be h(49). Give q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 38258678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -26, 315\/8, 5, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 - 499*b**3 - b + 3*b + 508*b**3 - 27*b**2 in the form s + d*b**3 + r*b + w*b**2 and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 348106337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 26*u - 10*u - 8*u + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -7, -40, 262, 4 in ascending order.\nAnswer: -40, -7, 4, 10, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {h: 6, p: 1, u: 1, d: 1, k: 1, e: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 314276*s*u + 236638*u wrt s?\nAnswer: 314276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 2. Let o(q) = q**3 - 98*q**2 + 1111*q - 507. Let g be o(85). Calculate the greatest common factor of g and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -25*g**7\/42 + 23*g**6\/18 + g**5\/20 - 47*g**4\/36 + 2*g**2\/3 - 7*g. Determine r so that f(r) = 0.\nAnswer: -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1155\/(-42))\/(4488\/(-306))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11810 is divided by 1124.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15914475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -690797*w - 690800*w + 5 + 5 + 1381596*w. Let u(n) = -16*n**2. Calculate u(g(c)).\nAnswer: -16*c**2 + 320*c - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u + 5*u - 1 - 20*u. Suppose -3*z - 6 = 3. Determine l(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -152, -229, -302, -371, -436?\n\"Answer: 2*u**2 - 87*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 24*f - 136. Let i be x(-15). Let k be ((2 - 3)\/i)\/((-2)\/(-10)). Solve -k*o - 2*l = -l - 16, 0 = -o - 3*l + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/40)\/(4*(-9)\/648)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.59991 to 1 dp.\nAnswer: -57.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 25*s + 41. Determine d(-17).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 12*q**2 + 10*q + 4. Let m(p) = -2*p**3 - 25*p**2 - 19*p - 8. Let j(b) = -9*a(b) - 4*m(b). What are the prime factors of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 34827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {l: 1, p: 5, z: 1, a: 5, k: 4}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from pfhhkdg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -102*g - 811. What is the tens digit of a(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 22*q**2 - 21*q - 44. Let r be w(23). List the prime factors of r\/(-3)*(-1)\/(20\/13410).\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - z**3 + 9 + 3 as t*z**3 + j + p*z + u*z**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85 less than -9.5?\nAnswer: -11.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 100*f - 4. Let z be q(1). Suppose -2*d - 5*n = -228, -d + 4*n + z = 2*n. Is d smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uotcttcfocftcfcc. What is prob of sequence uc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1))\/b)**(-39))**(9\/5)*(b**0)**(2\/59)\/(b\/(b**(-2\/3)*b)*b**(2\/3)) assuming b is positive.\nAnswer: b**(-1073\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -868, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -29, -56, -93?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 80\/89, -0.2?\nAnswer: 80\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + (-3 + -1 + sqrt(1100) + sqrt(1100) + sqrt(1100) - sqrt(1100)) + sqrt(1100))**2.\nAnswer: -400*sqrt(11) + 27516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 14 = -5*t, 19*t - 18*t = -2*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 2*s - 1. Let l be b(-1). Suppose -l*z + 1 + 11 = 0. Solve -2*p + 2 = -2*x, 2*p - 2 = -x + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/17 + -353\/119. Let h = -445\/4 + 111. Which is the third smallest value? (a) -1\/7 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -134. Let v = o + 212. What is the greatest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4353*a = 4197*a - 1560 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 175. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 3321002?\nAnswer: -3321003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 79.78925 years?\nAnswer: 0.7978925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.0088. What is u rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klxtcdtxc. Give prob of sequence tdx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 5*b + 15. Suppose -40 = -b*n + 35. Calculate the remainder when 26 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4655 = -4*g + 4635 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.774414 grams to nanograms.\nAnswer: 9774414000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -2\/23, 323, -1\/11, 2\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(832) + 2 - ((sqrt(832) + 3)*5 + sqrt(832))) + 3.\nAnswer: -40*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2592)\/(-14256) - 152\/(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -16. Let j = 12 + a. Let i be -8*((-20)\/16)\/5. Solve -j = -i*k - k + 5*u, -4*k + u = 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.8 (b) -0.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 978852 and 186448.\nAnswer: 3915408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8593 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 6, -2, 4, -0.0072?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:36 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k + 2. Let p(v) = 6*v - 1. Calculate -3*l(c) - 4*p(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n + 1. Let d be w(2). What is the highest common factor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111011202 (base 3) in base 11?\nAnswer: -60407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-30 - (-2 - (-3 + 24)) - (-4 - 55))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 270\/14 - 60\/210. Let h(w) = 2*w**2 + 12*w - 8. Let s(q) = q**3 + 3*q**2 - 3*q - 3. Let p be s(-4). Let r be h(p). Solve r*a - i = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949*s**3 - 1899*s**3 + 966*s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2830444t to nanograms.\nAnswer: 283044400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 563 = -12*x - 3*z, x = -5*z + 555. Which is smaller: 561 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16324251 and 1589.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(605) - (4*(2*sqrt(605) + sqrt(605)) - sqrt(605)) - (sqrt(605) + -1 + sqrt(605)*-1)))**2 - ((-4*sqrt(220))\/sqrt(4))\/(sqrt(176)*-6).\nAnswer: -47521*sqrt(5)\/6 + 2178036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 8*n. Let f = 1 - n. Solve 0*t + f*t - 18 = -4*p, -5*p = 2*t - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 28*r**2\/3 - 46*r - 36.\nAnswer: 2*(r - 18)*(r + 1)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 23. Calculate the highest common divisor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 9:28 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/2161 + -103735\/15127. Is -7 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/64010 and 33\/37?\nAnswer: 64010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 570971 + 108345 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -120*s + 39. Give b(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 7}. Give prob of sequence ppf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 81*l**2 + 59*l - 108. Let c be s(-16). Calculate the greatest common divisor of c and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2221050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/62267355 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1340 divided by 14760.\nAnswer: 67\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from {u: 3, j: 2, f: 3, y: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/(r\/(r\/(r\/r**(2\/3)*r*r))))**(-2\/9)\/(((r\/(r*(r**(1\/2)\/r)\/r))\/r**8)\/(r*r**0)**(-1\/39)) assuming r is positive.\nAnswer: r**(6313\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 4, -1164, 7.7, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/679896 and -73\/3909402.\nAnswer: 15637608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -321 smaller than -324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 14 = -7. Let k = 5 + -5. Suppose k*n + n = 19. What is the remainder when n is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(49)\/(sqrt(7)*1) + 1*sqrt(7)*-5 + 5.\nAnswer: -4*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/114102 and -7\/6.\nAnswer: 114102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/2940 and -81\/4?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -25. Which is bigger: v or -13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*v - 637 + 277 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -216, -10, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 29*s**2 - 25*s. Let x = 31 - 36. Let w(g) = 102*g**2 - 87*g. Let p(a) = x*w(a) + 18*n(a). Find the second derivative of p(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540301 is divided by 179625.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -s + 37265*c - 37263*c, -s - 3*c + 102 = 0 for s.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -13. What is the greatest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5050*x - 140187. Determine g(-28).\nAnswer: 1213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f + 1. Let y be (-24)\/(-30) - 2\/10*-11. Let r = 13 - -8. Calculate the remainder when v(y) is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77519477351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.03. What is the smallest value in s, -0.5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6283540841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1047633 and 10.4104678.\nAnswer: 1047643.4104678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 138002 (b) 0.302 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14012899 < 14012901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 k, and 1 o when four letters picked without replacement from {w: 2, o: 2, k: 1, l: 4, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 43b937 (base 12) to base 13\nAnswer: 2b9801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 400101\/(-144)*8\/(-1732). Let q = j + -1\/3464. Find the common denominator of q and -57\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - r**2 + r**2 + r**3 + 2*r - 2*r**2 + 1 to the form p*r**2 + m*r**3 + n + x*r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1891, -1882, -1873, -1864, -1855, -1846?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 371279, 371264, 371249, 371234, 371219?\n\"Answer: -15*h + 371294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*b + 152173 - 1164749. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 - 269 = 80*z - 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (24 + 76 + -40 - (3 + 10))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3*108\/6. Let d be (-2)\/x + 30\/78. Let i be (2 + (1 - -3))*2\/66. Which is the third smallest value? (a) i (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 5:11 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4801836 to the nearest integer?\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 2056619*o + 4113239\/2.\nAnswer: -(o - 1)*(o + 4113239)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 118596, -102\/13 in descending order.\nAnswer: 118596, -0.4, -102\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 3*m**2 + 2*m + 3*m.\nAnswer: -3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 47. Let w = -70 - o. Let x = 79 + w. Calculate the remainder when x is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 23*l + 21*l + 44 = 42*l, -82 = 3*d - 5*l for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -136, -9, -3, -2, -8 in descending order.\nAnswer: -2, -3, -8, -9, -14, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3863913 to 4 dps.\nAnswer: 0.3864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**2 + 5*z - 2. Let n(y) = -4*y**2 + 3*y - 1. Let r(w) = 2*d(w) - 5*n(w). Let k be r(3). Is 132 + -2 + (k - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 805723, 1611440, 2417163, 3222892, 4028627, 4834368, 5640115?\n\"Answer: 3*q**2 + 805708*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 - 246. Suppose -3*c + 6785009 + 8174979 = -t*x, -5*x - 18700004 = c. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-30) + 168\/(-585). Put 2\/5, k, 6, -1 in increasing order.\nAnswer: -1, k, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 12*u**2 - 6*u + 2. Let m be 96\/64*(8 + 0). Let o be k(m). What is o rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 + 0 = 0, -4*n + 7938 = 2*z. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.97 + 0.03. Let y = 0.010381 + -0.010381. What is the third smallest value in u, y, 0.4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16 and 4773\/518*(-14)\/216.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -232396661*i**2 - 16*i + 1417989.\nAnswer: -464793322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 18?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10023970 is divided by 214.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, m: 1, b: 5, q: 1}. Give prob of picking 1 b and 1 u.\nAnswer: 25\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 694*t - 685*t - 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7552*l - 407692. Determine u(54).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/28 - -3) + (-220)\/(-140)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l - 3. Let n(j) = -11*j - 2. What is 4*n(y) - 3*q(y)?\nAnswer: -8*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 10*d**2 - 9*d + 2. Let z be t(9). Let y(v) = 5 - z*v + 3 - 1. Give y(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2*u*y**2 - 261285*l**2*u + 5*l**2 + 2*l*x*y**2 + 29566*l*x*y + 2*u*x wrt u?\nAnswer: l**2*y**2 - 261285*l**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 32 - 2. Suppose -t*o + 163 = 1. Suppose -o = 4*i - 47. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 2.6. Suppose -3*z = 15, -2*j + 3*z = -4*j - 9. Let c be (3\/(-6))\/(4\/j). Which is greater: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Let v(p) = -4 - 7*p**2 - 2 + 0. Let g(q) = q**2 + 1. Let m(w) = 6*g(w) + v(w). Give m(n(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1331*y**4 + 4*y - 3*y + 71*y**3 - 5*y**2 + 3*y**2 - 72*y**3 as r*y**3 + n*y + l*y**4 + t + b*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5*l**3 - 197*i**5*l - 25*i**2 - l**3 wrt i.\nAnswer: -120*i**2*l**3 - 11820*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:36 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-8 + (15 - ((-10 - -6) + 9) - 3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**2 - 53*x - 1\/273*x**7 - 5\/78*x**4 + 1\/195*x**6 + 2\/39*x**3 + 0 + 3\/130*x**5. Factor f(q).\nAnswer: -2*q*(q - 1)**3*(q + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:38 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccacdcadc. Give prob of picking 1 a and 2 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2287 is divided by 461.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.3322233 - 0.3322173. Let a = -19.905 - 0.095. Let s = x + a. Round s to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 15*w**2 + 10*w**2 + 19*w**2 - 45*w**2. Let n(b) = 724*b. Calculate d(n(h)).\nAnswer: -524176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.14 - 58.94. Let w = -7 - -1. Which is the closest to 0? (a) h (b) -0.4 (c) -4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i**2 - 30*i + 45. Let f(h) = 9*h**2 + 20*h - 30. Let r(p) = 8*f(p) + 5*z(p). Suppose -3*c = 2*c + 40. Is r(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 138*r + 1. Let w be a(-1). What is w rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2 - 346209*q - 3808420 = 0.\nAnswer: -11, 346220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*f**2\/5 - 6*f - 2\/5 = 0. What is f?\nAnswer: -1, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.146 (b) -1\/3 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12302 divided by 3?\nAnswer: 12302\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -167, -8, 475, 1462, 3133?\n\"Answer: 30*t**3 - 18*t**2 + 3*t - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109215907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 64*z + 57*z - 116*z + 1. Let q = -2 + 0. Determine r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17031193111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zizhzzihzziiiiz. What is prob of picking 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*y + 70*y + 58*y + 3 - 21 + 58*y + 63*y.\nAnswer: -17*y - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6585500694 to the power of 1\/3, to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7901008 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -143373 and 1.26?\nAnswer: 143374.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 202\/59 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*1\/(2\/(-16)). Let s be ((-8)\/6)\/(i\/48). Solve -3*l - 2*l + n = 19, s = -4*l - n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 9*x**2 + 10*x. Give w(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 101?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 223679 (base 10) in base 4?\nAnswer: 312212333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32 and -9788.0479.\nAnswer: -9756.0479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-240)*20)\/(-1*(-2)\/(-1))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 i when four letters picked without replacement from {s: 7, x: 7, z: 3, g: 1, n: 1, i: 1}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 900303 + -900300.201014. Let d = -59.79887 + n. Let c = d + 57. Round c to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a - 5*y = -28, y - 4 = 0. Let p(x) = x + 4. Let k(o) = 3*o + 12. Let v be -13 - -3*8\/12. Determine a*k(t) + v*p(t).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:55 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 6*s - 6. Let o be j(4). Let w(a) = -2*a + o*a**2 + a + a**3 - a. What are the prime factors of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/218 (c) 0.2 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6020 = -866*a + 694*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 - 1029*h**3 - 13773*h**2 + 14805*h = 0. Calculate h.\nAnswer: -329, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 27*y + 60 = 0. Suppose y*a = -4*q - 22110, 8*a - 22110 = 11*a + q. What is a rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 15 - -11) + 1 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a. Let d(b) = -34*b**2. Determine d(s(x)).\nAnswer: -2176*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 21*a - 1928. Let p be s(92). Solve 0 = -z + t - p - 0, -2*t + 14 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*(-78)\/(-494). Sort 3\/7, 0, d.\nAnswer: 0, d, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.7269 - 0.7269. Which is the third biggest value? (a) 6 (b) -16 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 20 = 18*i. Solve i*c - 6 + 6 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 41769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - v + 4699, 4*s = 141*v - 138*v + 9373. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*p**3*r*y + 1901*p**3*u - 6*p**3 + 4*p**2*u*y + 3*p*r*u - 378*r*y with respect to y.\nAnswer: -6*p**3*r + 4*p**2*u - 378*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90247078.\nAnswer: 2, 23, 1961893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 + -216. Solve -y*a - 19 = 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 + 1. Let u be x(1). Suppose -41*t = i - 43*t - 170, -4*i = -3*t - 655. Suppose -u*s = -s - i. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*p - 1 = 0, p = -4*p + 15. Is (3 - 2)*w*-15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*z = -3*o - 2, 2*o + 7 = 5*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1996*h**2*o**3 + 2450*h**2*q**3 + 2627*h*o**3 - 4*o**3*q**2 + o**2*q**3 + 13*q wrt h?\nAnswer: -3992*o**3 + 4900*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 264*v**2 - 4228*v + 64. Calculate o(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12586 - -357636.\nAnswer: 370222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((148 - 140) + (1 - -2) - 15) + (-2 - -91).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -215*o + 55. Let w(k) = 8*k - 2. What is -55*w(v) - 2*z(v)?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/56 and -27\/3584077.\nAnswer: 28672616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5007005 microseconds in nanoseconds?\nAnswer: 500.7005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13640, -14188, -14736, -15284?\n\"Answer: -548*d - 13092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:51 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/(s**(-3)*s))**(-3\/2) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -6. Let j(o) = -o + 3. Let p be j(f). Let u = -8 + p. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3661 = c - 1024. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.022, -5, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:42 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 327*k - 329*k. Suppose 0 = -3*t - 2*m + 2, 0 = -k*t + 11*t + m + 6. Is t equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39794 * -0.4.\nAnswer: -15917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g\/((g**(2\/13)*g)\/g))\/g))\/(g**(-12)*g)*g**(-2\/9)*g**13)**(-2\/15) assuming g is positive.\nAnswer: g**(-1120\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m + 270. Let s be o(-24). What is the greatest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21526 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**11\/n**(-6) assuming n is positive.\nAnswer: n**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -40. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18 and 53\/324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2, 8924, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 320 + -324.016. Let j = u - -4. Let p = j - -0.01599922. What is p rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -0.2, -1.9442, -3, 5?\nAnswer: -1.9442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(((a\/(a**(1\/4)*a)*a)\/a*a)\/a))\/a*a)\/(a*(a*(a**(-36)\/a)\/a*a)\/a) assuming a is positive.\nAnswer: a**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28109 - -3b?\nAnswer: -280ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(6*k + 6 - 6) - 3*k - 2*k + 3*k - 2*k + 7*k - 3*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - -197?\nAnswer: 195.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 25*q**2 - 26*q - 51. Determine j(-26).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5\/7 + 10*a**4\/7 + 2*a**3 - 10*a**2\/7 - 12*a\/7 = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1386\/5*v**4 - 1142\/5*v**3 - 162\/5*v**5 - 320*v - 168\/5 - 4122\/5*v**2 = 0.\nAnswer: -1, -2\/9, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -5. Let q = d - 13. Which is the closest to 0.1? (a) -0.3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(9\/8))**(-2\/17) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 44 = 2*i. Let g = -6 + i. Let h be (2 - -10) + 16\/(-12)*3. Calculate the highest common factor of g and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**2 - 7\/3*b**3 + 5 + 0*b. Let t(r) = -3*r. Determine a(t(d)).\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 19 + 4 - 9*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.54 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) + 114\/30. Let o be 1184\/40 - s\/(-10). Suppose -3*f + 61 = -h, -3*h - 21 = -3*f + o. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.65 + -19. Let p = 0.2 - a. Let v = -0.05 - p. What is the second biggest value in v, -3, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ihihggigihgi?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 624554.37ms in hours?\nAnswer: 0.173487325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 1. Let f(n) = -n**3 + 4*n**2 - 3. Let v be f(3). Let z be j(v). Let w = z - 10. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3\/3 - 11*s**2\/2 + 2*s. Let l be n(8). Solve 0 = l*z - w - 10, 0*w - 5 = -w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101101 + 1011000?\nAnswer: 10000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 29*k**2 - 11*k + 14*k.\nAnswer: 29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -189 + 190 + (-18 - 0 - (2 + 0))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6779750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 17\/38, -1, 1\/7, 2, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/((b\/(b**4\/b))\/b))**(-2\/89) assuming b is positive.\nAnswer: b**(-4\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k = 22*k - 154 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 3. Let l be k(7). Let g(c) be the second derivative of -c**4 + 2183*c - 2. Let n(h) = 4*h**2. Give l*n(p) + 3*g(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4679*m - 2716 = 4485*m. Calculate the remainder when 516 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*j + 193*j = 395*j + 114 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1089391 + -0.2089391. Let d = 1.5 - 1. Sort 0.15, d, 1\/3, c.\nAnswer: c, 0.15, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j**2 - 4*j)*(j**3 - 2*j**3 + 3*j**3) - 7*j**5 + j**5 + j**5.\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 428 - 314. Let k = h + -116. Which is the third smallest value? (a) -8 (b) 0.5 (c) k (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1005 + -1002. Let z(d) = 8*d - 21. Give z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -201601*v**3\/3 - 449*v**2\/2 - v\/4 - 245. Factor j(i).\nAnswer: -(898*i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.8 - -6. Let b be 946\/(-6) - (0 - 2). Let n = -154 - b. What is the second biggest value in n, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 102*a + 2085 = -106*a, i = 5*a + 81. Suppose 0*l + 2*l = -2, -4*l = 4*d - 588. Calculate the highest common factor of i and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + -2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 32*y - 134. Give m(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:24 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 349, 1, 4199?\nAnswer: 4199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1430)\/6864)\/(5\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3 + -2 + -2. Let i be ((-18)\/(-21))\/(h\/(-7)). Let f be (3 - 12)*(-2)\/2. Solve -i*v = 3*p - 3, 2*v = 3*p + v + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-15)\/(-6)*(-32)\/(-10). Solve -13*s = -16*s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*q + 2*m, 85 = 4*q - 5*m - 67. Suppose -2*r + q - 2 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*a - 1442626 - 32654 = -13*a. What are the prime factors of a?\nAnswer: 2, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 3 = 0. Suppose -5*g = -3*w - 13, 2*w + 9 = 5*g + a*w. Suppose 7*m = g*m. Sort 2, m, -3 in increasing order.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 8*r - 10. Let k be i(-9). Let u be (-13 + 1)\/(k*1). Suppose 0 = g - 3*t - u, g + 4 - 13 = 2*t. Solve 0 = g*j - 0 - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 8*h - 4, 4*r + 8381*h = 8380*h + 50 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750 + 743 + 106*o**2 + 753 - 2246.\nAnswer: 106*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 2676 + 2900 = 0. Let a(d) = -d**3 - 4*d**2 - d + 2. Let u be a(-5). Let l = u - y. Solve l = -c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 14) to base 3\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 20, -2, -5 in descending order.\nAnswer: 20, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4 - 236*n**2 + 476*n**2 - 241*n**2. Let d(v) = v**2 + 4. Let u(h) = -h + 10. Let s be u(12). Calculate s*k(i) - 3*d(i).\nAnswer: -i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o**3 - 18*o**2 - 18*o + 18. Let r(d) = d**3 + d**2 + d - 1. Give 2*l(w) + 36*r(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.3113 microseconds in minutes?\nAnswer: 0.000001971855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212*b*x**3 - 33*b*x**2 - 51*b*x + x**3 - 50190*x**2 wrt b.\nAnswer: -212*x**3 - 33*x**2 - 51*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 8\/15561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 1. Let b be r(0). Does 4 divide 8\/b - 0\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 77877.\nAnswer: 1\/77877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -120*j - 4754. Let w be p(-43). What is the highest common divisor of w and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2691247?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 + (1 - 7) + 7 + 8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 203 - 18 = 0. Let g = m + 65. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -468 - -471. Suppose 3*n - q - 2882 = 0, q = -a*n + 2*n + 962. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -339, -8, 0 in ascending order.\nAnswer: -339, -8, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1827 and 2458?\nAnswer: -4490766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 + -3. Let r = 43.3 + -46.3. Which is the biggest value? (a) -5 (b) r (c) -6 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppupppppppp. Give prob of sequence pu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 10065185.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 195 = 171. Let b(g) be the first derivative of -g - 7\/3*g**3 + 4 - 5\/2*g**2 - 3\/4*g**j. Let b(f) = 0. Calculate f.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/42*6\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d - 1. Suppose -d*j - 10 = -5*b, -j - b = -2*j + 1. Solve -2*a + 3*l = 12 + j, -3*a - 4*l = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.9, -2, 4, 23, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1044 and 30143250.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.5 - -42.5. Let g = 156.2 + -36.2. Let t = g - 120.1. Is t != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -8, 2*a = -5*d + 162 + 121. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -23 (c) -3\/244 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - u - 2*u)*(-2 - 3 + 1)*(-1 + 1 - 3*u) in the form q + z*u + i*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1924\/32 - -12. Are -47 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225 + 697 - 243 + 35*r - 229 - 7*r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 76 = 0. Let u(t) = 2*t**2 - 5*t - 12. Let k be u(-4). Suppose -230*q = -234*q + k. Calculate the remainder when i is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (sqrt(143)*1*2)\/(sqrt(1584)\/sqrt(4))).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/7 - 150*d**2\/7 + 2451*d\/7 - 12996\/7 = 0. Calculate d.\nAnswer: 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(400))\/sqrt(8))**2 - (-3 + (sqrt(1250) - sqrt(50))**2).\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -77. Put -3, 0, g, -34 in descending order.\nAnswer: g, 0, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**6\/6 + 2*t**5\/5 - 2*t**3\/3 + t**2\/2 + 6. Suppose j(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 121 = -6*z. Suppose -15*v + 1837 = -3968. Calculate the highest common factor of z and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**3 + 2*v + 5. Let l be n(-2). Find the common denominator of (-5 - 59\/(-12))*l and 73\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Suppose -57*m = -53*m - 4. Let h(k) = -62*k - 6. Let u(a) = m*q(a) - h(a). What is the tens digit of u(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/(8\/72). Suppose -n*g + 25 = 2*g. Suppose -3 = -3*a + 3. Solve l = 3*t + 2*t + g, 0 = -t - a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/60 + c**4\/6 + c**3\/6 + 17*c**2. Let q be l(2). Suppose -4*m - 4 = q*k - 17, 22 = 2*k - 4*m. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-7 - (-1 - -3)) - 29?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 32*i**3 - 111*i**2 - 990*i - 1512.\nAnswer: (i + 3)**2*(i + 6)*(5*i - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v\/(v**(-1)*v))\/v))*v*v**6)**48\/(v**(-5)*(v*v**(-2\/5))\/v)**34 assuming v is positive.\nAnswer: v**(2598\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/25)\/((-2)\/(-20)). Suppose u - 29 + 108 = 0. Let t = g - u. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f - 76. Let j(g) = 8*g + 76. What is -5*j(m) - 4*y(m)?\nAnswer: -4*m - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8911057, 17822126, 26733179, 35644210, 44555213, 53466182, 62377111?\nAnswer: 71287994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 + 27144*w**4 + 271172*w**3 + 894608*w**2 + 1192656*w + 542080 = 0. Calculate w.\nAnswer: -6776, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -103*o + 51 + 1\/4*o**4 - 14*o**3 + 263\/4*o**2.\nAnswer: (o - 51)*(o - 2)**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25033 and -80.\nAnswer: 24953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1, 5, 1\/1237.\nAnswer: 1\/1237, 1\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4896 and 447712.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 17181*s\/2 - 1944054.\nAnswer: 3*(s - 11676)*(s + 222)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22448432 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010001000 + -1100001001?\nAnswer: -101110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 less than -0.05322?\nAnswer: 18.94678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - 32\/(-12). Solve 0*m - d = -f*m + 11, -3*m + 13 = d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75018623 rounded to 2 dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b*g**2*m + b*g**2 - 194*b*g*m + b*g - 3*b*m - 9*g**2*m - 232*g**2 - 473*g + 1 wrt g.\nAnswer: -10*b*m + 2*b - 18*m - 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1221 or -1220?\nAnswer: -1221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-6)\/9)*0. Let n(t) = -t + 10. What is the tens digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(g - 3 + 3) + 6*g - 2*g - 2*g + (-6*g - 46*g - 7*g)*(-3 + 2 + 0) + 4*g - 3*g + 16*g.\nAnswer: 80*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*l + 9, -2*l - 14 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1350\/(-72))\/(-5)*-2*(-88)\/(-12)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25742328 is divided by 512.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 327*m - 2194. Is z(37) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 46*t**2. Let o(l) = 74805*l. Give o(p(u)).\nAnswer: 3441030*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319*h + 1722*h**5 - 899*h - 2713*h**6 - 2*h**2 + 2710*h**6 wrt h?\nAnswer: -360*h**3 + 103320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/2*p - 3\/2*p**2 + 21 = 0. Calculate p.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 18*f + 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 0\/(-1) - -1. Suppose 0 = 3*g - 0*g - h. Let f = 96 + -94. Solve f*z - 2 = g*t, 3 = t - 3*z + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*r + r = 97, -3*o = r - 113. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000084878 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = 25. Suppose -m*l - t = -18, 4*l - 27 = -4*t - 3. Solve -10 = -l*v - 2*z, -5*v + 0*z - z = -12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2263, 1, 14 in ascending order.\nAnswer: -2263, -1, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73.7 - 60.7. What is the second smallest value in 5, 1\/6, -0.5, -1, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7505683 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-423)\/63 - (6 + (-16 - -1)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10 = 4*o, 3*k + 5*o = 3*o + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:49 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x)*(-7*x**2 - x**2 + 9*x**2 - 6*x**3).\nAnswer: 12*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 98 = 4*a, -93 = 2*l - 5*l - 3*a. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 56 = -o. Solve -4*w - o = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*c + 39912112*c**3 + c**2 + 0*c**2 - 39912135*c**3 to the form s*c**3 + w*c**2 + v*c + k and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 25*f - 23. Let j(n) = -n**2 - 13*n - 12. Let h(u) = 3*a(u) - 5*j(u). Let q = 1350 - 1356. Is 5 a factor of h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:37 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 9*n**2 - 9*n + 4. Suppose 3*l = -t + 17, 0 = -5*l + 6*t - 3*t + 19. Calculate the least common multiple of l*(-1)\/(-5)*1 and y(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 6.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1127271445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 1, 2.\nAnswer: 1, 2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1990 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/63 in -1, 4, 13\/5, -2\/7, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-1155 - 587 + 863 - 562)*(0*x + 2*x - 3*x).\nAnswer: -1441*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 take away 7980653?\nAnswer: -7980659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 0)*(-8)\/16. Let u = r - -1. Suppose -v - u*v - 2*x + 1138 = 0, -x - 1901 = -5*v. What is v rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/79434304 and -63\/19858576?\nAnswer: 79434304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46463, -185839, -418131, -743339, -1161463, -1672503, -2276459?\n\"Answer: -46458*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(11) - sqrt(44)\/sqrt(4)*3)*-4 - sqrt(44)\/(sqrt(28)\/(sqrt(7) + sqrt(63)))))**2*2.\nAnswer: -16*sqrt(11) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+31287\nAnswer: 31287.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424995521, 849991041, 1274986561, 1699982081, 2124977601?\nAnswer: 2549973121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/213179 + -16414623\/17054320. What is the common denominator of -25\/104 and a?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1 + sqrt(1573) - sqrt(104)\/sqrt(72))*-4.\nAnswer: -140*sqrt(13)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 0*j + j - 13*j - 3*j**3 + 6*j**3.\nAnswer: 5*j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 m when four letters picked without replacement from {z: 13, m: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940.8927 millennia to months.\nAnswer: 11290712.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.152 + -2.1492705. What is h rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8500 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 124*c**3 + 3*c**2 - 4*c + 3. Let k(v) = 2*v**2 - 8*v - 23. Let q be k(6). Is 6 a factor of d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.99 + -0.01. Let k = -10.6 - -3.7. Let q = y - k. Which is the biggest value? (a) 2\/7 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 not equal to 578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaaallala. What is prob of picking 4 a?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 78 = -265*k + 262*k, 212 = 7*k - 3*l for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 7 = -b, -3*b - 2*b + 11 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + 5)\/((-10)\/(-28)). Suppose 5 = -v + 41. Let n = m - v. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 873 - 856 = -4*q, q = -y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*t**3 + 2111*t**2 - 2111*t**2.\nAnswer: -136*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/9*(-5328)\/288. Is -11\/4 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x**2 - 3*x - 3. What is u(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (50 - 24 - 35 - -26)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/60*-3)\/(6\/60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1543 = -5*x - 0*h + 15*h + 1533, 2*x - x - 2*h = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 768*f + 0.\nAnswer: -768*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*k - 20, 8*f = 6*k + 13*f + 76 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1520*u**4 + 186*u**3 - 2*u + 697504.\nAnswer: 18240*u**2 + 1116*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 853 - 577. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40\/9*c + 0 + 1\/9*c**3 + 2\/3*c**2 = 0. Calculate c.\nAnswer: -10, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2330045, 2330057, 2330073, 2330093, 2330117, 2330145, 2330177?\n\"Answer: 2*g**2 + 6*g + 2330037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 divided by 9?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-55)\/(2805\/68))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) - 2*sqrt(1715)) + sqrt(35) - ((1*-1*sqrt(35) - sqrt(35)) + sqrt(35)))\/(sqrt(63)\/(sqrt(9)*-1) - (sqrt(189) + sqrt(21))\/sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -15. Find the third derivative of -p**3 + j - 16 + 2*p**2 + 8 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - 0 - -2) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*p = -10*p + 4136 - 1289 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 475 (b) -1 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 4}. What is prob of picking 1 x and 2 v?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132 - -1010003?\nAnswer: 1003321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h = 21*h + 3*a, 0 = 4*h - 5*a - 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-14))\/((-140)\/(-588))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + t + 6 = -13, -4*y = -2*t - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 160 + 160 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 27924504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4\/4 + 771015*p**3 - 792612672153*p**2\/4 - 792622695378*p - 594468756324 = 0.\nAnswer: -3, -1, 514012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 45. Suppose 4*j = -d + 24, 66 = -a*d + 11*d - j. What is the remainder when d is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = z - 4*g, -2*z - 4*g - 311 = 3*z. Which is the third smallest value? (a) 5 (b) 2\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 smaller than -109\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067787659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -11*k**2\/2 + 24*k + 190. Let g be o(2). Solve -p - 2\/7 - 9\/7*p**g - 5\/7*p**3 - 1\/7*p**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from bdebdeeaeba.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.041, -6, 540405?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*g - 147 + 200 = 0, 5*s + 4*g = -149 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3242 divided by 3?\nAnswer: -3242\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i, -3*i - i = -5*d + 358. Let m be (1162\/d)\/(1\/5). Find the second derivative of 2*y**5 - m*y + 74*y + 5*y**5 wrt y.\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -2\/5 (b) 185 (c) -0.04 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36966, 37107, 37248, 37389?\n\"Answer: 141*z + 36825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 311*p - 944. Give y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1150380 and 65736?\nAnswer: 2300760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 48 = -2*s. List the prime factors of 1 + (-8)\/(s\/(-45)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74714 is divided by 593?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1825dc (base 14) to base 2\nAnswer: -11001111111101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 15 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h - 2. Determine n(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 2838038*r**2\/3 - 45407456*r - 544884864.\nAnswer: -2*(r + 24)**2*(r + 1418971)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-21))\/(f*f**(-42)))\/((f\/f**(-3\/19))\/(f\/f**(-5\/3))) assuming f is positive.\nAnswer: f**(1283\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19553 - 19829. What is the nearest to 1\/4 in -4, -2, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**3 - 132*v**2 - 435*v - 450.\nAnswer: -3*(v + 6)*(2*v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -366 and -0.586612.\nAnswer: 214.699992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -3, -4\/345, 1\/19, -4 in decreasing order.\nAnswer: 0.4, 1\/19, -4\/345, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -31908303?\nAnswer: 223358121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 4, -4, -1, -2, -12 in ascending order.\nAnswer: -12, -4, -2, -1, 4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336301 and 47936.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*l + 5*r, 0 = -2*r + 8 - 6. Let p be (126\/5)\/(l\/(-70)). What is the greatest common factor of 36 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Let x be l*3 + (-1 - -3). Let n = 25 + x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, r: 3, m: 4, o: 1, n: 9}. Give prob of sequence nonn.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/1 - -2)\/1. Suppose 0*c = -5*j - c - 5, q = -j - c - 5. Suppose -3*s = -j*s + 22800000. What is s rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/2 + 234*h**4 + 100665*h**3\/2 - 8277981*h**2 + 55936944*h - 79168320 = 0. Calculate h.\nAnswer: -187, 2, 5, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65128, -130359, -195710, -261241, -327012, -393083, -459514, -526365?\nAnswer: -593696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = a - 46. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(19) + 1 + 4 - (sqrt(152) + sqrt(152)*2 + sqrt(152))\/sqrt(8) - (sqrt(76)\/sqrt(4) + 0 - (-1 + sqrt(19))*-4))*4 + -2)**2.\nAnswer: -2112*sqrt(19) + 20545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose s*l - 294274 + 63274 = 0. What is l rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 2*x**2 - 8*x + 8. Give t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 + 520*m**2 - 492*m - 3096 = 0. Calculate m.\nAnswer: -2, 3, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) 4517 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 19*n. Let m(k) = -32*k - 1539. Let c be m(-48). Let h(q) = 286*q. What is c*h(v) + 44*p(v)?\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/3115589260 - 487202496197\/252985847912. Let j = 494\/245 + b. Let h = j + 1\/29. What is the smallest value in h, 2\/13, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5008515?\nAnswer: 3, 5, 31, 10771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.070271 times 0.5\nAnswer: 0.0351355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 = -17. Let x be (-2)\/8 + 23\/(-4). Let h be 9\/(a*2\/x). What is the greatest common factor of 81 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b**3 + 415*b**3 + 60*b - 60*b.\nAnswer: 478*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -0.5, 38\/159, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, 38\/159, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -4*z**3\/3 + 91. Let o(m) = -19*m. What is o(t(r))?\nAnswer: 76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -1275, -4291, -10167, -19857, -34315, -54495, -81351?\nAnswer: -115837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*a + 77*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 - -19a6761?\nAnswer: 19a6709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.452 + -0.47. Let w = l + -113.982. Let m = w - -113.9999941. Round m to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 81*j + 15 + 11.\nAnswer: 81*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2308 - -2336. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 = 4*m - 24, 5*m = -5*b + 25. Solve c - b*o - 4 = 0, 4*c - o + 17 = -4*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 794 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-125))\/(1\/5). Let i = -154 + 155. Which is the fourth biggest value? (a) -66\/5 (b) i (c) 0.1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g + 10. Let o(w) = w + 1. Determine -k(l) - 5*o(l).\nAnswer: 2*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53817 + -617474840.\nAnswer: -617528657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3052, -15.\nAnswer: -15, 5, 3052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 10*s - s**3 + 6*s + 39 + 21*s**2 + 6*s. Let f be g(-20). Let o = f - -56. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*i + 34*z - 30*z, 5*z = -5*i + 35 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/4203 and (-15 + 12)*-2 + (-46)\/6?\nAnswer: 4203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m - 7777 = -141*m - 3929 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 2*p - 2. Let r be i(2). Let n be 1\/(-3) + 200\/24. Suppose -2*x + n*x = -r. Which is smaller: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 8 in ascending order.\nAnswer: -5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -13*u + 3. Solve r - u = -w, 7*r - 3*r = w - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**2 - 1 + 56*i**2 - 22*i**2 - 25*i**2.\nAnswer: -40*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*c - 158 = -171, 5*c = 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -3 + (1 - 12). Let h(j) = -j**3 - 11*j**2 - 7*j + 12. What are the prime factors of h(v)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.9, 3\/4, -2.5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (14 + -23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6190264, -12380555, -18570858, -24761179, -30951524, -37141899, -43332310, -49522763?\n\"Answer: -x**3 - 6190284*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1543 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2796 + 2290 = 174*b + 214 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/30)\/(10\/(-75)). Suppose 2*p = -3*p. Which is the second biggest value? (a) p (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2034*k**2 + 812*k**2 + 819*k**2.\nAnswer: -403*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -2*d**6\/3 + 68*d**5\/5 - 16*d**4 + 1263. What is g in i(g) = 0?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 536, -2, -3, 139 in increasing order.\nAnswer: -3, -2, 139, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 248, -383, -5, 5 in increasing order.\nAnswer: -383, -5, 1, 5, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-9)*(-27)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuuwwuuuuuwwwuwgwww. Give prob of picking 4 u.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(18))\/(sqrt(320)*2 - sqrt(320)).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0336 + -0.0436. Sort -0.1, w, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 1, -25\/7 in decreasing order.\nAnswer: 1, -25\/7, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2722770 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-2.2.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6 and -40\/1751583.\nAnswer: 3503166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1920*i**2 + 7*i - 37. Let z(n) = 1919*n**2 - 4*n + 42. Let x(b) = -8*k(b) - 7*z(b). What is the second derivative of x(j) wrt j?\nAnswer: 3854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 7:54 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 3836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -116*n**3 + 2*n + 3*n - 4 - 12*n**2 + 5*n**2 + 8*n**2. Does 18 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 19*s**2 + 2*s - 21. Let x be i(6). Suppose -22*z + 19*z + x = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**2 + 5*t. Let q(x) be the first derivative of -x**3\/3 - x**2\/2 - 51. Let r(y) = -n(y) - 5*q(y). Let h(j) = -67*j**2. Give r(h(w)).\nAnswer: -4489*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 - -332. Factor f + 3\/4*c**2 - 3\/4*c.\nAnswer: 3*c*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13568164*c + 9264448 wrt c?\nAnswer: -13568164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6833, -6839, -6859, -6899, -6965, -7063, -7199, -7379?\nAnswer: -7609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*l**3 - 32*f*l**2 + 2*f*l - 7*f + 26*l**3 + 2*l - 100 wrt l?\nAnswer: 18*f*l - 64*f + 156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -1 (b) -1\/5 (c) -6 (d) -252 (e) -0.1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:30 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 16*j**3 + 6*j**3 - 1 + 3*j + 10*j**3 - 2*j**2 - 2*j**4 as i*j**3 + h*j**4 + w*j**2 + f + m*j and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9881 (base 15) to base 2.\nAnswer: 111111000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79948?\nAnswer: 2, 11, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14 - 3*x - 3 + 2*x. Let c be q(8). Suppose z - 7 = 3*o - c, 0 = -4*o + 3*z + 3. Let u(n) = 1. Let m(b) = b**2 - 4. What is o*u(p) - m(p)?\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 6876039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-42)\/((-28)\/4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -34*q - 40. Let y be k(0). Let m(n) = -11*n**2 - 2*n - 1. Let w be m(-1). Let g be (-54400024)\/y - (-6)\/w. What is g rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2006 and 216886.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 95 = -58. What is the highest common divisor of 68 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.2961873829835 and -13?\nAnswer: 17.2961873829835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Suppose -n*d + 7*d = 12. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69389 divided by 3.\nAnswer: -69389\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236637 is divided by 236635.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/2 - (21 - 398)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7987*v + 195. What is the remainder when q(2) is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19167?\nAnswer: 3, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3318 and 134722334?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4075188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165856*t**3 + 9*t**2 + 745*t - 1?\nAnswer: -995136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(52)\/sqrt(4) - (sqrt(208) + 5).\nAnswer: -7*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117999 and 93345?\nAnswer: 524505555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -687 - -4825\/7. Suppose -12*p = 7*p - 5529. Let i = p + -290. Is l at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -25*q**4 + 4*q**3 + 3*q - 1. Let s(f) = -f**4 + f**3 + f**2 + f. Let t(k) = -6*s(k) + 2*x(k). What is the third derivative of t(u) wrt u?\nAnswer: -1056*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*p - 25, 4*u = p + 20 + 3. Suppose -5*k = -w + 4*w - 24, -12 = -2*k - 2*w. Find the first derivative of 2 + k*r - 3*r + 0*r - u*r**2 wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 11*t**2 - 14*t + 28. Let o be r(12). Solve 0 = -5*z - j + 2, 0*j - o = 5*z + 3*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 235*y**2 - 191*y + 557. Is j(-124) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.7439888 and 95754.\nAnswer: 95760.7439888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355709, 711443, 1067179, 1422917, 1778657, 2134399, 2490143?\nAnswer: 2845889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Let o be -48 + (-2574)\/(-54) + (2600\/6)\/4. Calculate the highest common divisor of x and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*o - 10 = o, -5*q - 3*o = 10. What is the remainder when 10 is divided by q\/3 - (-42)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(4*(sqrt(567) - 5*sqrt(567)))**2*5.\nAnswer: 10886400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + 2 - (-2 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-8)\/6)*3. Let s(w) = u - 5*w + 2 + 4*w. List the prime factors of s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10053*m**4 - 30505*m.\nAnswer: -120636*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001095354 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l + 1 - l + 0*l - 2*l. Suppose 4*y = -3*j - 17, -2*j + 4*j + 3 = -y. Calculate w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to -4515\/1228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*t = 44, 2*o - t + 7 = 28. Let c be (-18)\/(-14) + o\/(-35). Solve 0 = -5*h + 5, -c = 3*n + 5*h - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 25. Suppose 4*b = k - 19, 2*k - b + 2*b = 11. What is the remainder when q(0) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 - 2.5. Let v = k - -0.8. Let j = v + -1.50054. What is j rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376143 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1361045\/10*(-53 + -1). Let n = k + 117531157\/16. Let l = -3941 - n. What is the common denominator of l and -13\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -35. Let z = 82 + u. What is the greatest common factor of 22 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-18)*(-9)\/(-6). Let i(a) = -a**2 - 4*a. Let h(c) = c. Let l(j) = w*i(j) - 4*h(j). Let p(k) = k. Calculate l(p(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 260201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171019410.\nAnswer: 2, 3, 5, 281, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 5*t**2 - 7*t + 2. Let g be n(4). Let s be 5 + (-4)\/((-8)\/g). Solve -3*x + 10*x + 14 = s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2380 - -2344. Which is bigger: t or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*2\/20*5. Let u(l) = -6*l + n*l + 0*l + 3 + 2. Determine u(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9665227 and 3861.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlxlx. What is prob of sequence xlxl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 89.929 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246958 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1250206 - -161?\nAnswer: -1250045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + x**4 - 2*x**4)*(-2 - 1 + 5) + 3*x - 3*x - 3*x**4.\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.3033 to one dp.\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 - 3.92. Which is the smallest value? (a) 5 (b) -1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 times -1.403?\nAnswer: 134.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y**4 + 512*y**3 + 7404*y**2 + 7012*y + 1720 = 0. Calculate y.\nAnswer: -10, -1\/2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10736 is divided by 265?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789519680?\nAnswer: 2, 5, 79, 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 + -131. Let u = 157 - r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*v = 93, x + v = 5*x - 213. Suppose 0*c - 24 = -2*c - 4*a, -c - a = -11. Let n = c - 4. Calculate the highest common factor of n and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**5 - 10*b**4 + 20*b**3 + 12*b**2 + 12*b - 12. Let j(c) = 2*c**4 + c**3 + c**2 - c + 1. Let f(v) = -12*j(v) - y(v). Factor f(k).\nAnswer: -2*k**2*(k + 2)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341 + -12\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4\/(-6)*147\/(-14) - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(114) + sqrt(114)*-3*4 + sqrt(114) + sqrt(114))\/(sqrt(42)\/sqrt(7)*3).\nAnswer: -3*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 360*p**2 - 599225*p + 5360220.\nAnswer: 5*(p - 307)*(p - 9)*(p + 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*h - 1040371, -577*j + h - 1040362 = -578*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (253 - 257) + (0 - -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s - 3774 = 41*s. Let t be (-1 + 1)\/(-1 + 0). Suppose t = 2*o + 6*m - m + 3, 5*o + m = -19. Sort -2, o, s.\nAnswer: s, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7, c: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 17*i - 5. Let j be b(9). Suppose 4*a = 3*r + 39 - 329, 0 = j*r - 5*a - 388. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.7 + 17. Let z = 4.3 - g. Let a = 3.6 + 0.4. What is the smallest value in z, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000517821 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -42 - 1464*u**2 + 42 + 1463*u**2 - u. Let y(a) = -2*a**3 - 2*a**2 - 2*a - 2. What is -2*g(b) + y(b)?\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/120*(-6)\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1*2 + sqrt(76))\/(sqrt(512)\/sqrt(8)))**2 + 5.\nAnswer: 251\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21827, 21827, 21817, 21791, 21743, 21667, 21557, 21407?\nAnswer: 21211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/20 - 5*t**4\/4 + 59*t**2\/2 - 21*t. Differentiate r(z) wrt z.\nAnswer: -3*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109835586 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (12 - 3 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (264\/352)\/((-153)\/24). Which is the third smallest value? (a) t (b) -4 (c) 1\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (113008\/134197)\/((-2)\/(-133))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-20)*(-39)\/52)\/(5\/(-125))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*m**2 + 19*m**2 - 172*m**2 + 626*m**2 to h*m**2 + o*m + v and give h.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 910788, 910465, 910142, 909819, 909496, 909173?\nAnswer: 908850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2 - 1 + 0 - 2. Let m(j) = -j - 7. Let p = -25118 - -25117. Calculate p*m(l) + 5*i(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/8633 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12957 or 12955?\nAnswer: 12957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12369 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 8.698 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.7. Let x = 51.33 - -0.67. Let k = x - 52.2. What is the closest to -0.7 in v, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 7:13 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 + 1\/10*i**4 - 2\/15*i**3 - 1\/5*i**2 + 2*i. What is l in k(l) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -348740 divided by 7?\nAnswer: -49820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1440 by 6.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -11, 3, -2, -4, 1, 5 in descending order.\nAnswer: 5, 3, 1, -2, -4, -11, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-15))\/(12\/8)*2\/(3720\/(-150))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/3, 2\/97, 2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 70.3328.\nAnswer: 67.3328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.020354 - 0.020312887. Round s to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, -5, 161, -1\/11?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x - 6. Suppose 30*k = 33*k - 3*s + 6, -3*k - 16 = 2*s. What is d(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 5 (c) 1\/3 (d) 2 (e) -56\/3 (f) -1811\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**2\/2 + 4*p + 555. Let l = 3 - 1. Let v = -5 + l. Determine w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1955693*u**2\/5 - 5867078*u\/5 + 3\/5 = 0. What is u?\nAnswer: -3, 1\/1955693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36933 and 17993.\nAnswer: 701727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l**3 + 2*l**2 + 3*l - 5. Let b(v) = 5*v**3 - v**2 - v + 2. Give -7*b(w) - 3*i(w).\nAnswer: -2*w**3 + w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17500 = 2076*b - 618*b + 27698 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*w + 94 = 199*w - 99*w + 6*l, -56 = -4*l. Factor -52\/3*k + 338 + 2\/9*k**w.\nAnswer: 2*(k - 39)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*m + 3. What is the third derivative of -2*z**m + 0*z + 0*z - 3*z**2 + 4*z**2 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42238 is divided by 19806.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.248, 1, 27 in descending order.\nAnswer: 27, 4.248, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - 1 - (-11 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -206, -554, -1 in increasing order.\nAnswer: -554, -206, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 7)\/((-18)\/24) + 2*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -7*z + 3. Let q(d) = -2*d**3 - 3*d + 2*d + 0*d**z + 2 - 3. What is q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/6888 and 50\/37215003.\nAnswer: 297720024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8*j - 67 = 13*j, -5*l = -3*j - 87. Suppose -q + 31 + 1 = 5*i, 0 = q - 4*i + 4. What is the greatest common factor of l and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3503 and 199445?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 46*c**2 - 131*c + 94. Give f(43).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82, -91, -116, -163, -238?\n\"Answer: -y**3 - 2*y**2 + 4*y - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 18. Let d be y(7). Let s(o) = o**2 - 7*o + 12. Let v be s(d). Solve w = -3 - v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + -9 + 5 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42278 or -42273?\nAnswer: -42278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from oeiiodtx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:27 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 908433970 to the nearest one hundred thousand.\nAnswer: 908400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/11 + 800*f**4\/11 - 1596*f**3\/11 = 0. What is f?\nAnswer: 0, 2, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let w(v) = -4*v + 2*v + 3*v - 3*v. Calculate w(x(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-7325)\/3809)\/(2\/(-26))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*u - 36 + 64*u + 52*u)*(-3 + 3 - 1)*(-3 + 3 - 2*u**2).\nAnswer: -6*u**3 - 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 14) in base 2?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1218 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**7\/7 + 3*p**3\/2 - 8*p. What is the second derivative of c(i) wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(612) + 2 + 3)*6)**2.\nAnswer: 8640*sqrt(17) + 91728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1 + 5 - 2 - 17*i. Is o(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Find the second derivative of 0*i**3 + 0*i**3 - i + 3*i**p + 0*i**3 wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 9 - 26 - 24)*((-5*o + 3*o + 3*o)*(1 - 2 + 2) - 1 + 1 + 2*o).\nAnswer: 6*o**5 - 123*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 3*r + 5. Let v be y(-4). Let c be 5\/(v*(-1)\/1). Let o be (10\/2)\/(-10 - -9). Is o >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (720\/(-6))\/(573 + -639).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736*p + 92*p - 36432 = 0 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-48)*4*(21\/2)\/(-7). Sort b, 20, 0 in descending order.\nAnswer: 20, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o - 2*w - 284 = 0, -5*w - 416 = -3*o. What is the greatest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -303 - 20\/(-5). Is v*(3 + -4)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -12. Which is the third biggest value? (a) -2 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e4 (base 15) in base 9?\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k = -525070 - 1360394. Is k a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*p - 2828, -150 = 5*p - 165. What is the remainder when a is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/4 + 1609*k**4\/4 + 196425*k**3\/4 - 4829*k**2\/4 - 146512*k + 98211 = 0.\nAnswer: -114, -2, 1, 1723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 4*t = d + 46, 4*d + 3*t - 37 = 0. Solve 3*p + d = -p + 2*n, n = 4*p + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 7, z: 10, o: 2}. What is prob of sequence nzoo?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 3*z**4 + (-3 + 0 + 1)*(2*z**4 + z**4 - z**4) in the form j*z + u*z**4 + g*z**2 + s*z**3 + a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -78\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 z when three letters picked without replacement from {z: 5, i: 3, u: 1}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 312\/756*9*77\/(-11)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 + (-6 + 4 - 1)*(4 - 2 + 1) + 4 - 1 - 2)*(-3 + 1 + 4)*(3*j - 5*j - j).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u**3 - 16*u + 16*u.\nAnswer: 61*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -111?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 2385, 6?\nAnswer: 2385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*g = -986 - 514, -3*g = -4*u + 3000. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**4 + 4*g**4 + 23*g**4)*(-4*g + g + g + 4*g - 2*g - 3*g + 5*g - 2*g - g + (3 - 3 + g)*(-2 + 2 + 2) - g - 2*g + 4*g + 0*g + g - 2*g - 4*g + 0*g - g).\nAnswer: -80*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4977780 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 94. Let q(b) = -6*b**2. What is q(t(v))?\nAnswer: -24*v**4 - 2256*v**2 - 53016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i + 5*m = 13*i - 31, 5*m + 11 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 - 145. Suppose -2*o + g*r - 8 = 0, -5*o + 15 = 5*r - 10. Solve 5*h = 25, o*d + d = -2*h + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1950264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 15 = -6*x. Let j be (4\/(-6))\/((-5)\/x). Let s = 0.9 - 1.9. Which is the nearest to -0.1? (a) j (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3260545.\nAnswer: 1\/3260545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*i - 20, k - 3*k + 1 = -3*i. Suppose 2 - 77 = -k*z. Let l = z + -13. Solve -l*w - 9 = 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*g + 6506, 4*q = 3*g - 2*g + 13002. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -23*q + 22. Let c(u) = -43*u + 44. What is 6*c(g) - 11*f(g)?\nAnswer: -5*g + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2479 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1369 + 15209 = 4*m. Let t = m + -48387\/14. Calculate the common denominator of -43\/12 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from grrgrezeeg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 + 255. Suppose 2*q = -3*p + 206, 4*q + 31 = 4*p - 237. Suppose -3*m + p = 5*g - d, -m + 2*g + 68 = 0. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/170 - (-75)\/85. Let f(z) = 34*z + 36*z + 149*z - 2. Is f(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2\/5, -19, -2216424 in decreasing order.\nAnswer: 2\/5, -4\/7, -19, -2216424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22307714 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y - 2*y**3)*((-1 + 4 - 5)*(0*y - 4*y + 2*y) + 576*y + 138*y - 1186*y)*(-3 - 3 + 1).\nAnswer: -4680*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 16 + 13)*(-19 + 19 - 12*q**2).\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1529079 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790325, -1581661, -2372997?\nAnswer: -3164333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360989*i**4 + 170*i**2 - 6*i - 4 wrt i.\nAnswer: -8663736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2927332 is divided by 292?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Suppose -5*m - 77*g + 50 = -82*g, 3*g - 33 = -4*m. Sort m, y, 3 in ascending order.\nAnswer: 3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208 is divided by 221?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/3*((-6)\/4 + 1). Suppose -3*h = -0*h - 3*o + 6, -2*o = -2. Put i, h, 32, 5 in increasing order.\nAnswer: i, h, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.695024 millennia in decades?\nAnswer: 469.5024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r + 1 - 1. Let n(b) be the first derivative of b - 2. Let l(y) = 5*y - 2. Let q(k) = -2*l(k) - 4*n(k). What is 7*j(t) + 5*q(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-325)\/(-130)*-2*18\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 7*n - 72. Solve 3*i + n = 3*m, -m + 10 = 3*i + 3*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135652521104 + -2302?\nAnswer: -135652523406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/4*2 - (-1929)\/402 and -11\/10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882032187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3, 51, 2\/17, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130454.06 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305839 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -203097845 - 0.581\nAnswer: -203097845.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 17001.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 7*p - 8. Let g be n(5). Let z be (-3)\/g*4 + 156. What is the highest common divisor of z and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 5. Let p be m(5). Suppose 5*h + 0*h = p. Solve 0 - o**4 + 7\/5*o**3 - 2\/5*o**2 + h*o = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4*k**2 - 1)*(-3*k**2 + 0*k**2 + 4*k**2) - 2*k**3 + 2*k**3 - k**4 - 791*k**4 - 81*k**4 + 13*k**4 as d*k + u*k**4 + x*k**2 + l + a*k**3 and give u.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -19*g**3 + 2*g**2 - 3*g. Determine m(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/110 and 43\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*x**5 - 84*x**3 - 7*x**2 - 6747*x - 3.\nAnswer: 160*x**3 - 504*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2545 - 152333?\nAnswer: -155322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 10*s**2 - 5*s - 12. What are the prime factors of o(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -8. Let r be (-6)\/(-12) - (-6)\/4. Let z be (15\/r)\/(-3)*-8. Calculate the highest common divisor of z and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28171 to the nearest one hundred.\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 22*d + 10. Let k be m(0). Is 96\/11 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 12:03 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = t + 11, 3*i - 3*t + 14 - 2 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k + 112*k**3 + 31*k + 31*k - 33*k - 122*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 - -30.333.\nAnswer: 30.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*z - 470*z = -2933. What is the remainder when 4198 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/84 and -181\/360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**2 - a + 1. Let q be 2\/(-6)*-9 + -2. Let t be r(q). Let n(b) = -6*b**3 - 5*b - 2. Let w(z) = -3*z**3 - 2*z - 1. Calculate t*w(k) + 2*n(k).\nAnswer: 3*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 315*k - 4197. What is x(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 + 542\/9. Let s = k - 85. Let t = -18 - s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969716.\nAnswer: 2, 11, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 + 110735\nAnswer: 110732.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-2) + 2)*-10. Suppose 5*n = -w, -g + 4*n + 8 = -5*g. What is the common denominator of g\/((-3)\/(261\/(-6))) and 7\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/4 - m**3\/2 + 7*m**2\/4 - m.\nAnswer: -m*(m - 1)**2*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-20) + (-3)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28575049, 57150098, 85725147, 114300196, 142875245?\nAnswer: 171450294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*z - 4. Which is smaller: 2\/477 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from {m: 1, y: 1, q: 4, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 7*f**2 + f + 7. Let y be x(-7). Suppose 4*w + w + 80 = y. What is the units digit of (-13 + 1)*w\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.462 + 0.038. Let i = -5.5 + u. Let p = -36.299 + i. Round p to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 7 + 5*t - 8 + 13. Let n be p(2). What is the first derivative of 2 + 10 + n*q - 4 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 - 1499*q + 33462 = 0. What is q?\nAnswer: -1521, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q - 42*q - 1919083 = 2411781. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022137 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275472815 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 14*y**6\/15 - y**5\/60 + y**4\/24 - 281*y**2. Find the third derivative of a(k) wrt k.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (459\/(-5))\/((-36)\/10680).\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 4*o - 26, -4*c + o + 70 = 0. Let q = -3606 + 3616. Calculate the remainder when c is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*t - 156 = 0, 0 = 6*m - 2*m - t + 146. Let k = -19 - m. Suppose k*y = 14*y + 208. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3284 + 5136. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 214465 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 - 96*v + 1167. Determine z(14).\nAnswer: 3743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {l: 6, k: 1, d: 10}.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, -0.5, -824, 1 in descending order.\nAnswer: 2, 1, -0.5, -16, -824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**43)**(-2\/155))**(-2\/67) assuming y is positive.\nAnswer: y**(172\/10385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q + 31*q = 12*q - 704 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/9600 and -97\/3706800.\nAnswer: 29654400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*b + 35, -3*b + 38 = 5*k - 11. Solve -2*m + 6*m + b = -5*v, -3*m + 3*v = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 1 + 3*m + m**2 - m - 2. Let x(t) = 8*t**2 + 5*t - 5. Let o(h) = -2*x(h) + 5*y(h). What is the first derivative of o(i) wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 553?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 391, 0, -7, 4\/5?\nAnswer: 391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiqqiekoqoqooo. Give prob of picking 2 e.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8887, -8901, -8925, -8959, -9003?\n\"Answer: -5*b**2 + b - 8883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -210*n + 1375. What is d(8)?\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8378 - 0.8378. Put -2\/5, -9, z, -1, 3 in descending order.\nAnswer: z, 3, -2\/5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, 57, 4 in decreasing order.\nAnswer: 57, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 2*a + 12 = 16*o, -5*o + 5 = -5*a. Put o, -2\/11, 0.3 in decreasing order.\nAnswer: o, 0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3 + 5*l + 0*l + 3*l - 6*l. Let z be w(4). Solve 16 = -z*x + x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*p**5 + 380*p**4 - 3865*p**3\/4 + 3615*p**2\/4 - 1395*p\/4 + 189\/4 = 0. Calculate p.\nAnswer: 3\/8, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/40 - ((-77)\/(-119) - (-8)\/20)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200147\/72 or 2781?\nAnswer: 200147\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 4*j = -4*z - 24696, -8*z + 39516 = 4*j. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o**2 + 1)*(o + 1 + 0 + 1)*(-2758 + 10136*o**2 + 2758).\nAnswer: -20272*o**5 - 40544*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -68, -77, -86, -95?\n\"Answer: -9*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Suppose -392 + 2120 = 145*m + 47*m. Solve m*c = 7*c - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, -75, -303, -601, -957, -1359, -1795, -2253?\nAnswer: -2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5504 and -0.0216.\nAnswer: 5503.9784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16010058 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 72?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 7, g: 1, e: 2}. What is prob of sequence eg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7865208?\nAnswer: 2, 3, 13, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 38816652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 11 - 32 + 11 - s + 10*s**3 as r*s + v + f*s**2 + j*s**3 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-28) + 1 + 156\/7. Calculate the greatest common factor of l and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**2*z**2 - 516537126*t**2 - 80*t*z + 669515*z with respect to z.\nAnswer: 4*t**2*z - 80*t + 669515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/21 + (-87)\/7 + -3. Let j = p - -1338\/91. Which is the nearest to -2? (a) j (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -217*o + 116*o + 71 + 114*o + 20 - 40 as l + g*o and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -554.7699 rounded to 0 dps?\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/203 and 48\/7.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115 - 3356?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, 0.001, 4, 2, 0 in ascending order.\nAnswer: 0, 0.001, 2\/35, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39978763, -79957527, -119936291, -159915055, -199893819, -239872583?\n\"Answer: -39978764*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*s**2 - s**2 - 2*s**2)*(-5*s + 10 - 10) - 3*s**3 + 0*s**3 + 0*s**3.\nAnswer: -93*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-35)*-1)\/(528\/168)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 108 = 7*x. Let o = x + -25. Suppose 2 - 8 = -o*z. Solve 0 = z*f - 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/7 + 64*d**2\/7 + 849*d\/7 - 450 = 0.\nAnswer: -42, -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + 80 + 0 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.317 - -2.317. Let u = 0.4 + -0.45. Let y = u + -0.06. What is the nearest to y in b, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23946721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let u be t(-3). Suppose 5*a - 2*a = g + 8, 2*a = -u*g. Let r be g + (-3 - 0 - -11). Calculate the highest common divisor of r and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -640928.4 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139.48 - -131. Let d = -0.28 - n. Let i = 8.20102 - d. Round i to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*o**3 - 87*o**3 + 124*o**3 - 6 - 41*o**3 - 2*o to c + p*o**3 + n*o**2 + w*o and give p.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q. Let y(h) = 1631*h - 17. Calculate f(y(w)).\nAnswer: 8155*w - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23430227*c**6 + 7206971*c**2 + 2*c.\nAnswer: 2811627240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -0.1, 2, -2\/3, -414?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.1 to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4186086.8 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9 - (-4)\/18. Suppose -4*l + 12 = -r*l. Let s(p) = -1546 + 5*p - 6*p + 1553. Determine s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 307706 and 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Suppose -2*k = -3*l + 5, 0 = 4*l - 8*k + 2*k - 10. Let d = -7 + 1. Let h(r) = -2*r. Determine d*x(w) + l*h(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k - 2*k**3 - 13*k + 4*k**2 - 2*k**2 in the form f + i*k + p*k**3 + u*k**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20045*n - 18429*n + 12171 = -31461 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 1. Let j be c(1). Suppose -j*v - l = 3*l + 64, l = v + 32. What is the units digit of v\/(-6) - (-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*l - 36 = -60*l + 324 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 6*i - i)*(-2 + 2 + 2*i**2) + 0*i**3 - i**3 - 3*i**3.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 441233, 1764912, 3971045, 7059632, 11030673, 15884168?\n\"Answer: 441227*x**2 - 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 7 - 13. What is the third derivative of 4*i**2 + 16*i**2 + z*i**4 - i**2 wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -1 - -1) + (102 - 109)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/9)\/((-2)\/(-9)). What are the prime factors of (9\/h)\/((-12)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54, 103, 160, 231, 322, 439, 588, 775?\n\"Answer: w**3 - 2*w**2 + 48*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*g - 3, 0 = -4*o - 5*g - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 9 - 5) + -1 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -16729?\nAnswer: 3\/16729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 887454 at most 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*y - c - 94, 310*y + 3*c = 314*y + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3 + 30564*x**2 - 48629*x wrt x?\nAnswer: 12*x + 61128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from alblaluuabbllslluaa.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 14, a: 4}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*((4 - 1 + 8)*(0*u - u + 2*u) + 3*u - 6*u + 0*u).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 39616166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23483308\/13 - 1807901. Let p = v - -1495. Let j = 1\/6 + 4\/3. Find the common denominator of p and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9127 - 6848. Is w a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -604 + 0*n + 1412 + n - 5*n**3 + 2*n**3 - 320*n**2 - 1286 wrt n?\nAnswer: -18*n - 640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqqlqljjapaa. Give prob of sequence qppl.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, z: 3, d: 2, c: 2}. What is prob of picking 1 z and 2 d?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 1. Suppose 0 = -a - 0 + 3. Let p(c) = 2*c + a*c - 4*c. Let m be p(1). Determine q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209017, 418089, 627161, 836233, 1045305?\nAnswer: 1254377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 - 1. Let c(i) be the second derivative of 2*i**5\/5 - 4*i**4\/3 + 16*i**3\/3 - 6*i**2 - 15*i. Let x(p) = c(p) + 4*v(p). Factor x(n).\nAnswer: 4*(n - 2)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4168\/10 + (-26)\/195)*72. Let z = 21 + -19. Let p be (g*18)\/(z + 1634\/(-820)). Round p to the nearest 1000000.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b - 3. Suppose -4*c + 8 = 0, 0*c - 22 = -4*i - 5*c. Let s(x) = 6 + 2 + 1 + 2 - 6*x - 14. Determine i*s(v) - 4*u(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -5*w + 130 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -16. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -110*i + 2034. Let w be t(18). Calculate the greatest common factor of 1593 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 34*q - 88. Let m be z(-29). Suppose -3*x + x - 98 = 4*n, 0 = 4*x + 2*n + 220. Let i = m + x. Solve -3 = u - 5*c, -u + c + 2*c - 1 = i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -10 + -14 + (-1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*s - 5*t, -s = -3*s - 3*t - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/8316 and 92\/135?\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-12)\/(-120)*-4)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664515 is divided by 861?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/6061 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*14.3\nAnswer: 42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 8*o = -30*o + 395 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 6*r - 2. Let w be (-2)\/(1\/r) - 2. Suppose 2*o + 3*g = -6, -3*o + g = 2*g - 5. Which is the closest to o? (a) w (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 43. Suppose -4*f = 2*u - p, 5*f + 4*u - 4 = 26. Which is the closest to 1? (a) -1 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16935844.\nAnswer: 2, 4233961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + -6.87. Let y = -5 - 0. Let r = y - q. Which is the nearest to -3? (a) r (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.1273 to 0 dps.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 555*m**5 - 241*m**3 - 146650*m wrt m.\nAnswer: 11100*m**3 - 1446*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*m**2 - 14 + 14)*(2 + 4 - 5 + (3 - 4 - 2)*(1 + 0 + 0)) in the form f*m + w + d*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34\/593 + 61615\/32022. Calculate the common denominator of z and -157\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205\/3 - 242\/3. Calculate the common denominator of (1 - -1)*357\/(-70) and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-35) + 8\/28. Suppose 5*v - 37*v**o + 0*v + 42*v**2 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -31*u + 3. Let d(q) = 14*q - 6. Let k(a) = -9*d(a) - 4*j(a). Let l(r) = -23*r. Determine k(l(w)).\nAnswer: 46*w + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13212532 - -1532?\nAnswer: 13214504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*g**3 + 158*g**3 - 57*g**3 - 54*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/840 + i**6\/360 + i**5\/40 + i**4\/8 + 2*i**3\/3 + i**2. Let j(y) be the first derivative of l(y). Determine j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l + 75. What is the remainder when k(0) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*n + 330, 4*n + 316 = 5*h + 2*n. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1060 - -1075. Suppose 5*y - 10 = h. Let n(m) = -7*m**2 + 8*m. Let p(u) be the second derivative of 5*u**4\/12 - 5*u**3\/6 - u. Calculate y*n(w) + 8*p(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - u = -8, -2*q + 2*u = 4*u + 8. Let i be (-1)\/2*q*137. Suppose -5*o + 596 = m + i, -2*o + 5*m = -162. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/((-585)\/(-2925)) - (-59)\/(-21). Let u = 0.3 - 0.2. Which is the closest to u? (a) o (b) 2 (c) -1\/8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.9844*-1949\nAnswer: -3867.5956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/5*310\/186?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -10233, 3, -5 in decreasing order.\nAnswer: 11, 3, 2, -5, -10233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31740033 to the power of 1\/2, to the nearest integer?\nAnswer: 5634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-4032)*24)\/(36\/(-112)). Solve -34\/3*o**2 + 64*o - 120 + n*o**3 = 0.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -635*p - 16665 + 636*p - 9906 + (0 + 0 - 2)*(-3*p + 2*p - p) - 3 - 2*p + 3 in the form y + n*p and give y.\nAnswer: -26571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173298 is divided by 1733?\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1100493 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41\/83 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*d*n + 111*d + n wrt n.\nAnswer: -24*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 19*y**2 - 4*y - 7. What is the remainder when i(-10) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x*(x*x*x\/x**(2\/13)*x)\/x*x**(2\/7)*x\/(x**(-1\/5)*x) assuming x is positive.\nAnswer: x**(1516\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -721 + 721. Which is the closest to -0.2? (a) o (b) -4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248034 is divided by 838?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**4\/24 + n**3\/3 - n**2. Suppose 0 = -2*a + 10 + 14. Suppose -w + a = 2*w. What is k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 - 3*y - 1. Let h(v) = 24*v**3 - 16*v**2 - 24*v - 8. What is h(x) - 8*u(x)?\nAnswer: 32*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a factor of 3503454765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*t = 13, -10*x + 7*x - 2*t - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 + (4 - (6 - 0)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4233 + 5?\nAnswer: -422c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052711025 to 6 decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + 519?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3391*y - 3408*y = 125096 - 442197. What are the prime factors of y?\nAnswer: 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 10 - 7)*(p + 3*p - 3*p) as z*p + c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/(13 + (-316)\/16). What is the smallest value in t, 1\/2, -22\/25?\nAnswer: -22\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 2*n - 19 = -27*n. Put n, -2, 2, -4 in ascending order.\nAnswer: -4, -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r*w**3 + r*w**2 - 7*r*w + 481371*r - 7029899*w**3 wrt r?\nAnswer: -w**3 + w**2 - 7*w + 481371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 4. Let f = 163\/78 + -38\/13. Let c = 8\/3 - f. Which is greater: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 33. Let p be v(-11). Suppose 14*c = -2*o + 10*c + 2952, -o - 3*c + 1473 = p. What are the prime factors of o?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - q + (-2 - 4 + 4)*(q - 1 + 1) + 1 - 1 - q + q + 1 - 1 + 3*q + q - 3*q + 4*q - 3*q + 2*q)*(-249*q**2 - 62*q - 1 + 516*q**2 - 268*q**2).\nAnswer: -q**3 - 62*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7342 (base 8) to base 6\nAnswer: 25350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(102)*1 + sqrt(102))*1 - sqrt(102))\/sqrt(6)*5.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**4\/3 + 1126*r**3\/3 + 12542*r**2\/3 + 10222*r + 3444 = 0. Calculate r.\nAnswer: -7, -3, -2\/5, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-60)*2)\/(6\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**2 - s - 2. Let o = -20279 + 20276. Let l(w) = -11*w**2 + w + 1. Calculate o*l(q) - 2*d(q).\nAnswer: 9*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -60*i + 37*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-33411)\/(-214785)*(-1)\/(42\/9)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 - 2*s + 1)*(s**3 - 8*s**3 - 15*s**3).\nAnswer: 44*s**4 - 110*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -20. Solve -12 = 4*y - t*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 4*p + 28, 3*z + 3*p - 53 = -77 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 33, -5, -245, 5, 1 in decreasing order.\nAnswer: 33, 5, 1, -5, -7, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 840 + -515. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + p = -47, -87*d = -92*d + 3*p + 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 485 and 599185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1e3519?\nAnswer: 1e351b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 7*g**4\/6 - 3*g**3\/2 + 5*g. Find the second derivative of d(s) wrt s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 522 + -507 - (0 - 12).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14649747?\nAnswer: 3, 7, 101, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13885 and 11108?\nAnswer: 55540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v**3 + 305*v**2 - 22*v - 664. Calculate m(38).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22101100 (base 4) to base 8.\nAnswer: 122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 85365096?\nAnswer: 85365096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1046 - -503. Let a = r - -1532. What are the prime factors of a?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 240\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 8*c**2 + 4*c + c**3 + 3 - 3*c. Let y be ((13 - -275)\/36)\/(-1). What is l(y)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*q + 4*w - 21, q = 3*w + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 3:17 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25654564 (base 8) in base 9?\nAnswer: -11684521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(12)\/(sqrt(6)*-4) - sqrt(2)) + 4 + sqrt(72)).\nAnswer: -57*sqrt(2)\/2 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40\/23? (a) 2\/3 (b) 536 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {m: 3, j: 3, e: 2, r: 1, n: 3, f: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egzqqz. Give prob of sequence qe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.08 to 1 decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 3, t: 4}. What is prob of picking 2 j, 1 f, and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1021231 (base 4) to base 8\nAnswer: -11155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 2 z when four letters picked without replacement from {h: 7, z: 3, m: 2, s: 1, d: 3, j: 1}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 27*u**5\/20 - 9*u**4\/4 + 2*u**2 - 3*u + 3. Let j(q) be the first derivative of l(q). Let j(i) = 0. Calculate i.\nAnswer: -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211*c = -2216*c - 30 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 12*g**2 - 11 - 12*g - 8 - g**3 + 25. Let p be x(11). Let a(l) = l + 4. Let j be a(0). Sort p, 3, j in decreasing order.\nAnswer: j, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 1:12 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, -483, -1212, -2145, -3282?\n\"Answer: -102*k**2 - 219*k + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 5) to base 15\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 6774 = -2*h - 2*x, -3*h + 10145 = 2*x. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(36\/63) - (-1)\/4. Suppose -5*q = 20, 4*t + 6 = -3*q + l. Solve -4*o + t = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 20 = 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/803 - 152\/2409. Let f = 3\/11 - x. Find q such that -1\/3*q**4 + 2\/3*q + f + 0*q**2 - 2\/3*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/1137397 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 3. Let v(j) = 3*j + 2. Let y = -6523 + 6530. What is y*v(o) + 4*m(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t - 66 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-120))\/(-4)*(-42)\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 21*l**2 - 4*l - 70. Suppose 20743*b - 20742*b + 27 - 6 = 0. What is c(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(-11)\/(110\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 304*f**2 - 152*f**2 - 153*f**2. Let c(j) = j**2 - 1. Let q(a) = -5*a - 1. Let k(r) = -c(r) + q(r). Calculate -4*k(i) + 5*y(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21640 (base 7) in base 14?\nAnswer: -1dc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 2\/7, 2\/5, -4 in increasing order.\nAnswer: -4, -0.11, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) 638531 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420)\/(-392) + (-9)\/6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:09 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1157136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 8869716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b05 + 1ad6?\nAnswer: 26db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3183, 4218, 5259, 6306, 7359?\n\"Answer: 3*h**2 + 1026*h + 2154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 9 - ((23 - -48 - 54) + 0 + 11)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 times -21206?\nAnswer: -18936958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1693, 1735, 1815, 1939, 2113, 2343, 2635?\nAnswer: 2995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 102 = -4*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**5 + 38*d**2 + 67*d?\nAnswer: 80*d**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134048672.\nAnswer: 2, 17, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5295)\/(-10) + 3\/6. What is the greatest common divisor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030287 rounded to 5 dps?\nAnswer: -0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5852859*y**5 - 2073892*y.\nAnswer: 117057180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 7:43 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 23 = 4*v, 5*i + 1165*v + 20 = 1160*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 9877.\nAnswer: 207417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*r + 30 + 9 + 0 + 14*r + 22*r)*(-1963*r - 305*r**4 + 1963*r).\nAnswer: 305*r**5 - 11895*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.06 - 27. Let g = j + -0.060007. What is g rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 788*m**2 - 27*m + 5900. Let x(u) = -5516*u**2 + 202*u - 41301. Let j(v) = -30*q(v) - 4*x(v). What is the derivative of j(w) wrt w?\nAnswer: -3152*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 3*i**2 - i - 1. Suppose -14 = -9*n + 2*n. What is z(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50533956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2 + 4*u - 3. Let g be c(3). Calculate the common denominator of -19\/12 and 718\/72 + 2\/g - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.1, 185, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 0.09.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**3 - 8*c**2 + 35*c - 8. Let p(b) = 7*b**3 + 5*b**2 - 23*b + 5. Calculate 5*j(x) + 8*p(x).\nAnswer: x**3 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(170) + ((sqrt(170) - sqrt(170)*1 - sqrt(170))*-1 - sqrt(170)))\/(sqrt(540)\/sqrt(6)) + 3)**2.\nAnswer: 14*sqrt(17)\/3 + 458\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5)*-1*6 - ((sqrt(25)\/sqrt(5) - sqrt(5)) + 1)).\nAnswer: -6*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c448 + -67?\nAnswer: c3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66\/109 or 0?\nAnswer: 66\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6218 + 3093 = -22*d - 2883 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2831388921\/2356 - -1201778. Find the common denominator of g and -11\/3.\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28512 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 669*v - 39*v + 1 - 433*v + 105*v)*(4 - 10 - 20) as m*v + s and give m.\nAnswer: 26936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -198, -196, -194?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + 2 + -1 + -3. Solve -2*g = -4*g - n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3cc3a (base 16) to base 9\nAnswer: -418364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/39 - 68\/(-48)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**4)**(-32))**(-2))**(-6\/13) assuming h is positive.\nAnswer: h**(-1536\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 914865, 914863, 914859, 914853, 914845, 914835, 914823?\n\"Answer: -h**2 + h + 914865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.486 and 267174.2586.\nAnswer: 267173.7726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((32\/(-6))\/(-4) + 0)*51\/1428. What is the nearest to -1\/2 in 1\/2, -3, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 2*b + 4. Let x be o(-2). Let j = 46 - x. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/2*8\/(-42) + 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/17 in 1, -77910, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/38624 and 81\/536?\nAnswer: 2587808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 47 = c, 10*a - 5*a = -5*c - 75. Let x(v) = -v - 14. Calculate the lowest common multiple of 18 and x(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2372\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 546 - 546.15. Let u = -13 - -26. Let p = u - 14. What is the third smallest value in p, 2\/11, n, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0.008, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, g: 4, r: 3}. What is prob of sequence mm?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1976 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-4))\/((-2)\/4). Let t = v - -11. Solve -4*c - 10 = -3*b, 0*b - t*c = -b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 33*v - 243. Let t be s(-6). Let n be t\/3*-1*(-16)\/12. Suppose -3*r - 8 = -7*r. Sort r, -3, n in ascending order.\nAnswer: n, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25295084?\nAnswer: 2, 73, 86627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(6696\/1134 - (8 - 2))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -54.1. Let l = -61 - -72.8. Let t = 13.8 - l. Sort 0.1, 2\/13, t, y.\nAnswer: 0.1, 2\/13, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7987*j**4 - 36*j**3 - 20448*j**2 - 7*j?\nAnswer: 191688*j - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 59*u = -294 + 1430 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13909733 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 858 and 7722?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26659\/28 - 952. Suppose -4*a - 617 = 275. Let d = a - -224. Is b <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1780 = -z + l, -5*l = 0. Suppose -4*n - c + z = -3*c, 1335 = 3*n + 4*c. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -z - 3*m, 4*m = 2*z + 2*z - 256. Let y(j) = j**3 - 6*j**2 - 28*j + 115. What is the remainder when z is divided by y(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2. Let u(v) = 2*v**2 - 1832. Give u(d(y)).\nAnswer: 18*y**4 - 1832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.19, -3\/4, -1\/4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75*11\/1155*35?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244130233 - 1?\nAnswer: 244130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v - 6*v**4 - 6*v**3 - 7 + 8*v**2 - 3*v**3 + 4*v**3 - v**3. Let t(o) = -o**4 - o**3 + o**2 - o - 1. Let d(s) = -n(s) + 5*t(s). Factor d(w).\nAnswer: (w - 1)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*a + 50*a - 94*a = -6200 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 (base 11) in base 3?\nAnswer: 222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 + 5398*o**3 + 54354*o**2 - 471654*o + 780192 = 0.\nAnswer: -16, 3, 2709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/16 + 2\/(-8). What is the remainder when w - -2 - 3*-5 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 6\/4*190\/57. Solve 3*c = -5*s - 1, w = -c - 4*s + 2*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 8616?\nAnswer: 86160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = j - 49, -5*c + 12*j + 55 = 7*j. Solve -5*b + c + 3 = 0, 0 = 5*x - 5*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquqquuuqu. What is prob of sequence qqu?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.77 and 5.\nAnswer: -53.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -4\/7, 0.1, 33\/37?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.206 + 3.206. What is the second biggest value in -2\/9, z, -4, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-16824)*(50\/(-15))\/5. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38949 + -38948.870238. Let x = -0.13 + l. Round x to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35738, 142948, 321648, 571850, 893566, 1286808, 1751588?\n\"Answer: 2*j**3 + 35733*j**2 - 3*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -18. What is the units digit of ((-2)\/4)\/((-1)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/7 + 28050*v**2\/7 + 84111*v\/7 - 112164\/7.\nAnswer: 3*(v - 1)*(v + 4)*(v + 9347)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 45. Let h = -6 - -3. What is the closest to a in -0.3, h, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 84785.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023924538 rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17203, -34632, -52061, -69490?\nAnswer: -86919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 848 and 448380?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 65 = -2*y - 155, -360 = -5*o + 5*y. Does 77 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l - 5. Let v(s) = -12*s - 4. Determine 4*b(f) - 5*v(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v - 22706 = -547*v + 23476 + 7762 for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -87 in decreasing order.\nAnswer: -0.1, -0.5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 28. Suppose -3*p + 150 - 525 = 0. Let o = 999\/8 + p. Which is the closest to u? (a) 3\/7 (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36202 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.2 + -4.9. Sort t, 5\/7, -4.\nAnswer: -4, t, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:34 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -3, -0.48?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -102144767 <= -102144767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 112.455612 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 + -159. Suppose r - t*c = 3969, 4*c + c - 10 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39331952*h**5 + 15*h**4 + 1087285604*h wrt h?\nAnswer: 786639040*h**3 + 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u - 4. Let f be (4\/6)\/2*-1. Let a = 0.09 - -0.01. What is the second biggest value in a, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (267\/(-178))\/(1*(-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300363 is divided by 666.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*p + 10, 2*g - 14 = -5*p - 4. Let d(s) = s**3 + 9. What is the units digit of d(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6 and 57\/338?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(8\/(-162)*(-249)\/83)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 8*y - 5*j + 30, -y - 3*j = -1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 10*x**2 + 12*x - 7. Calculate g(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 - y**3 + 1 + y - 14*y**3 to the form n*y + s*y**3 + r*y**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 11180 = 2*n - 5839 - 5677 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85428.95 centuries to months.\nAnswer: 102514740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1430 + -1433. Let i(a) = -2*a**2 - 5*a - 2. Calculate i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 3 + 6\/1. Solve 3*b + 4*v + r = 4*b, 0 = -5*v - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10011943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 5. Determine k(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77194 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 - 5*j**2 - 3*j + 3. Suppose -5*w - 8 = 17, -3*v = -2*w - 1. Let o be f(v). Is o - (-1)\/((-2)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 513499265 and 513499268 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599410 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 7*f - 23. Let m be k(-3). Let w(o) = -o**2 + 18*o - 14. What is the remainder when 107 is divided by w(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 86.6141 meters?\nAnswer: 86614100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573956 times -680?\nAnswer: -390290080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 524.23204 from -114.6.\nAnswer: -638.83204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 661.16 * -3.\nAnswer: -1983.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1 - p - 4*p + 3*p + p. Let n(d) = -2*d + 4. Let h(l) = 3*a(l) - n(l). Let m be h(-3). Put -3, 3, m, 0.2 in increasing order.\nAnswer: -3, 0.2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12035 (base 9) to base 8\nAnswer: 17563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 13 (b) -4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h - 2 + 7 = 90*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, h: 3, g: 1, r: 2}. Give prob of sequence hh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a1a8 (base 12) to base 5.\nAnswer: 3342044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1013 - 1018 - 4*z + 2034. Let q(m) = -23*m + 12. Let c(x) = -11*x + 6. Let u(k) = 5*c(k) - 2*q(k). Determine 5*f(v) - 2*u(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744741702 minus 163261?\nAnswer: 2744578441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.407038 grams in tonnes?\nAnswer: 0.000009407038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 + 447*x**2\/4 + 111*x.\nAnswer: 3*x*(x + 1)*(x + 148)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 4*c**2 - 7*c**3 + c**2.\nAnswer: -10*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 60. Let d(j) = 3*j + 45. Calculate the remainder when k is divided by d(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18078444.\nAnswer: 2, 3, 167393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + 0)*2 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 15*r + 108.\nAnswer: -3*(r - 4)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/20 + h**4\/2 + 2*h**3\/3 - h**2\/2 - 181*h. Give r(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88210289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123811 (base 12) in base 13?\nAnswer: a5046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 41*o + 1 = 42*o, 4*o - 2 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/12)\/(3\/(-30)). Suppose p = 5*m + u, p - 7 = 2*m - 2. Suppose m*c = 4*c - 264. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 - 8 = 2*u, o + 3*u + 6 = 0. Let z be o + 1 - (-2 - 6). Suppose -4*a - 35 = -z*a. Calculate the highest common factor of a and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-16 + 9)) + (-3 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7536 divided by 4?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(7\/3))\/(u*u**(3\/2)\/u) assuming u is positive.\nAnswer: u**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5\/2 - 2*i**4 - 5*i**3\/2 - i**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 44*h**4 + 4*h**3 - 8*h**2 + 10*h - 261. Let j(v) = 43*v**4 + 5*v**3 - 10*v**2 + 11*v - 260. Let u(n) = 4*j(n) - 5*z(n). Differentiate u(l) wrt l.\nAnswer: -192*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 61*r + 411. Determine b(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-18) - (-25 + (4 - 7)). Let w be (b\/12 - 3)\/((-14)\/35). Suppose -w*k**2 + 15\/4*k - 5\/2 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 26. Let q = 47 - k. Sort -0.4, q, 1.\nAnswer: -0.4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -103, 175, 0, -1.6?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 229, 305, 413, 553, 725?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**3 + 0*h**2 + h - 1\/7*h**7 + 0*h**5 + 0 + 5\/12*h**4 + 0*h**6. Find the third derivative of q(y) wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2. Let w be g(-2). Suppose -43 + 11 = -w*f. Let t be 75\/(-30)*f\/(-10). Solve b = t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1111\nAnswer: -4\/1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-32 + 21) - (2 - 0)) + -61 + 7?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 + 11 = 0. Let a(b) = 6 - 33*b**2 + d*b**3 - 3*b**2 + 0*b**3. Let o(h) = -h**3 + 7*h**2 - 1. Let j(y) = 2*a(y) + 11*o(y). Give j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001354*-10.6.\nAnswer: 0.0143524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27358407 is divided by 4499.\nAnswer: 4487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qggqqqkggqqqkg. Give prob of picking 2 g and 2 q.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d = -18. Suppose -y - r - r - d = 0, -8 = 2*y + 3*r. What are the prime factors of (y + -23)*(3 + (-200)\/15)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2232108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 56. Let g = 64.8 + v. Which is the third smallest value? (a) -0.4 (b) 2\/9 (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(35\/(-15)))\/((35\/(-5))\/(-1)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -173 + 173 + 5*x. Let d(g) = g - 9. Let z(r) = -4. Let j(b) = 4*d(b) - 9*z(b). Determine j(m(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:25 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 6. Let v be ((-4)\/(-8))\/(o\/64). Find the common denominator of -11\/20 and (-1)\/(-2) - 62\/v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(910\/945)*16\/156?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556061 is divided by 262.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403387 is divided by 2101?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.2, 1, -2\/7, -5, 0.031?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84605768 - 136336561. Let m = h - -51730797.7999971. Let l = -4.8 + m. What is l rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 78024 and -1482.545?\nAnswer: 79506.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -636599657*h**3 - 976439*h**2 - 2*h - 244 wrt h.\nAnswer: -3819597942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/5)*r\/((r\/((((r*r\/(r\/(r\/(r*r**12))))\/r)\/r)\/r))\/r) assuming r is positive.\nAnswer: r**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15 + 12 - 2*-4. Suppose y + 3*q - 20 = 0, 0*q + 5 = w*y - 4*q. Suppose -y*z + 647 = 12. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895 divided by 1?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 5, -82*y - 325 = -3*f + 95 - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3026 - -9076\/3. Which is the closest to 21? (a) -16 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27804676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 70. Calculate the remainder when u is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764099.1 microseconds to hours.\nAnswer: 0.00021224975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**2 - 9108*g - 45640 = 0.\nAnswer: -5, 2282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-66)*242\/(-11)*-12?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 - 170 - (-14 - -3) - (4 - (0 - -1))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 49*h**2 + 33. Let o be y(7). Let u = -1610 + o. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6720 and 1785?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3686921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h - 4*d, -5*d + 75 = 422*h - 417*h. Let f = -4 + 4. Solve l - 15 = -5*q, 5*l + 3*q = -f*q - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:11 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046504413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4580\/14269 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4, -517?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4044 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*i - 409*i - 69 - 409*i - 408*i + 259 + 1640*i.\nAnswer: -2*i + 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 36763104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n**(-2\/7)*n*n)**(-2\/55) assuming n is positive.\nAnswer: n**(-18\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/20, -1, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**3\/3 + 7*d**2\/2 + 2*d - 2. Let z be b(-7). Suppose 2*p + 364*w - 8 = 366*w, -3*p + 12 = w. Solve z - 18 = p*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2)\/(1\/3). Suppose -w*f = -4*f. Let b(y) = -112 - y**3 + 48 + 54 + 3080*y - 3080*y. Calculate b(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7232 and 2485096.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 3*s - 5 - 5 - 2*s. Let o be v(-7). Is 13 a factor of 1*(-2 + o + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 d when three letters picked without replacement from {t: 2, i: 1, r: 5, d: 1, p: 6, h: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -134, -162, -178, -182, -174?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**4\/24 + b**3\/6 + 4*b**2. Let m(n) = 26*n - 15. Let k(c) = -m(c) + 4*o(c). Differentiate k(w) wrt w.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1857\/11 + -169. Let t = -895 - -894.6. What is the closest to t in 5, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 1. Let p be h(-6). Let b(a) = -a**2 + 7*a. Let x be b(p). Let m = 3 - -47. Calculate the greatest common factor of x and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115024 to the power of 1\/2, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**5 - 54260113*v**3 + 3*v**2 + 2254433*v - 5 wrt v?\nAnswer: -120*v**2 - 325560678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -1\/3*y**3 - 7*y + 0*y**2 + 0 - 1\/2*y**4. Factor o(p).\nAnswer: -2*p*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 720\/1124377 or 0?\nAnswer: 720\/1124377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.9, 1, 6, 0, -0.017 in decreasing order.\nAnswer: 6, 1, 0.9, 0, -0.017, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*i + 390*i - z = -6754, 2*z = -5*i + 6758. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 145941\/135 + 94\/(-2115)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*y = -13 - 5, -4*y = -4*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 22. Suppose -c - 4 = 5*y. Let q(m) = 2*m + 4. Let u(w) be the third derivative of -w**4\/24 - w**3\/2 - 8*w**2. Give y*q(v) - 4*u(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6359*s - 6354*s - 4*r - 18, 3*r = 2*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*15\/15*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g**2 + 0*g**2 + 6*g**2)*(-2*g**2 + 3*g - 3*g) - 17*g**4 + 95*g**4 + 72*g**4 as t*g + o + f*g**4 + c*g**2 + x*g**3 and give f.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-8) + 3\/(-12). Let a = -9 + s. What is the units digit of a\/(-6)*(-66)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 = 25, -2*d + 3*i = 25. Put d, -9, 5, -1 in decreasing order.\nAnswer: 5, -1, -9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z. Let f(a) be the second derivative of a**7\/504 - 11*a**4\/12 + 3*a. Let k(x) be the third derivative of f(x). Give t(k(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.065 + 1.295. Let i = n + 25.37. Let h = i + -27. Which is the closest to 1? (a) 1 (b) 3\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2204, -2192, -2156, -2084, -1964, -1784?\n\"Answer: 2*o**3 - 2*o - 2204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -68*p + 31*p + 32*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4 = 4*u + 4*b, -3*b = -4*u + 18. Suppose -3*d - 4*f = 11, d + 3*f = u*f - 8. What is the least common multiple of 4 and 17 - (3 - d - 4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxjuruxujuxuuurxuuj. What is prob of picking 1 x and 2 j?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11499\/7 - -1643. What is the second smallest value in t, 31, 0.5, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/47 (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524384.5mg to grams.\nAnswer: 524.3845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(810) + -2*sqrt(810)*-2)*-3)\/(6*sqrt(98)*2*2)*-3.\nAnswer: 135*sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 456 = f + 4*s, 3*f - 3*s = 273. Calculate the remainder when f is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 69099492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22211 - -10?\nAnswer: -22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152522834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1932)\/3312)\/(14\/(-102))*-4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1388)\/342836*(-7)\/(14\/(-4)).\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**5\/80 - 27*i**4\/16 - 729*i**3\/8 - 19683*i**2\/8 - 17*i + 4. Determine m so that p(m) = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 4*m - 30*m)*(14 - 14 + m)*(5 + 0 + 8).\nAnswer: -338*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10510143*o**3 - 40456*o**2 - 23*o - 1 wrt o?\nAnswer: 63060858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*y + 2*y + 2*c, 5*y = 2*c + 40. Let s be (-19)\/10 + 12\/y. Let b(h) = h**2 + 5*h - 6. Let w be b(-6). What is the closest to w in 0, 0.3, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -910, -7270, -24536, -58162, -113602?\n\"Answer: -909*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*b**5*p + 16*b**5 - b**2*j*p - b*j*p - 288*j*p + 771*j wrt b?\nAnswer: 980*b**3*p + 320*b**3 - 2*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2620 - 0?\nAnswer: -2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2114.42 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57021 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q + 8*q - 20*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 7, -1, 1\/4, -1\/2, 2, 418\/7 in increasing order.\nAnswer: -8, -1, -1\/2, 1\/4, 2, 7, 418\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -8) + -2*1. Suppose b - 7 - d = 3*q, -2*b + 2*q = -12. Find l, given that 1 - 1 + 2*l**2 + b*l = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -61 + 55 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 5. Let c(i) = -i**3 + i**2 - 4. What is the units digit of c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 24 = -2*t. Put t, 2\/3, -2.2 in decreasing order.\nAnswer: t, 2\/3, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9\/8, 2, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - y = 56, -f = 2*y - 81 + 28. Let a = -48 + f. Let p be 12\/12*(7 + 1)\/2. Solve 2*x = 2*t - 8, -2*t + a = p*x - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-30)*5085\/(-39663).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39482, -78963, -118444, -157925, -197406?\n\"Answer: -39481*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4 - ((-341)\/(-44) - 10). Let l(m) = 9*m**2 + m - 5. Let y(r) = 8*r**2 + r - 4. Determine z*y(g) - 2*l(g).\nAnswer: 6*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -9. Suppose 0 = -3*f + 2 + v. Suppose f*k - 26 = t + 4*t, 0 = t + 4. Solve -4 = o - k*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 12:48 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129418072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7775.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8271230 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 5*g - 45. Let k be c(-13). Suppose -k - 401 = -p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i = g - 45, -3*g = -i - 215. Suppose -4*m - 3238 + 3652 = 2*m. Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161273, 161270, 161267?\nAnswer: 161264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 60, -4.\nAnswer: -4, 0, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1572, 6183, 13836, 24531, 38268, 55047, 74868?\n\"Answer: 1521*k**2 + 48*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -29*j - 1 + 5\/6*j**3 + 0*j**2. Let r(v) = 3*v. What is p(r(n))?\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g. Let c be 11 - 8 - 0\/(-1). Suppose 0 = -2*n - 5*k + 13, 2*n - 6 = -c*k + 9. Let m(d) = -d**3 + 7*d**2 + 18*d + 3. Let p be m(n). Determine f(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*f = 4*o, 0 = 5*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f - 87. Let b(h) = -27*h + 259. Determine 3*b(j) + 8*o(j).\nAnswer: -j + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -344*x + 2059. Let m be a(6). Let y(k) = -9*k + 5. Let q(p) = -p**3 + 2*p**2 + 2*p. Let g be q(2). Let o(c) = -10*c + 6. What is g*o(l) + m*y(l)?\nAnswer: 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/60 - 13*i**3\/2 - 8*i**2. Let n be q(0). Is 6 a factor of ((-8)\/(-12) - 1)*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 382296287 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37390.754 rounded to the nearest 100?\nAnswer: -37400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 207383.\nAnswer: 207383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1328063607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -21. Suppose 3*u = v*x - 4*x - 91, -5*x = -2*u - 112. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000486 rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1308*r - 1519*r - 8 + 0 + 2.\nAnswer: -2827*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.9 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 - -51. Let x = -35 - s. Let y(o) = 9*o**3 + x*o**3 + o - 3 - 9*o**2 - 20*o**3. Calculate y(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by -34?\nAnswer: 144\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 22*d - 69. Let s be p(18). Solve -5 = -5*o + a - 6, 0 = -2*o + s*a - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = 3*n, 3 = -3*l - 4*n. Let b be l + -1 - (7 + -707). What is b rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i**2 + i)*(-2*i + 5*i + 3*i) + (3*i**2 + 0*i**2 - 4*i**2)*(-3*i + 4*i - 2*i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(87\/6 - 1). Let x(d) = d**3 - 3*d**2 + d - 1. Let q be x(3). Solve 2\/3*i**q + b + 2\/9*i**3 + 2\/3*i = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*f + f - 32, 2*x = -8. Suppose f*h = h. Suppose -k + h*k = -6. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkz when four letters picked without replacement from {k: 5, h: 2, z: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-104 - -143) - (76 + -3 - 1).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573377973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2130\/(-25)*20\/(-6). Let j = 426 - m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12093008 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 112. Suppose 0 = -x + 133 - 37. What is the smallest common multiple of x and v?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.19 + 0.19. Let l = 8.4 + p. Which is the closest to 2\/7? (a) 5 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -35, -6, 35?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -0.43 (c) -0.33 (d) -1.1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 - 74. Suppose -2*n = 3*z - 5*n - l, n + 12 = 2*z. Solve 4*t - z*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/(n**(4\/9)*n))\/((n\/n**(-3))\/(n**(-2\/9)\/n*n)))\/((n\/(n*n\/(n*n**(-4\/3)\/n)))\/n**(-3\/2))**(3\/38) assuming n is positive.\nAnswer: n**(319\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((-136)\/(-85) - (-2)\/5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 37. Let i = -347\/690 - -1\/345. Which is the closest to i? (a) 0.5 (b) 0.3 (c) 1\/20 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003405025 to 7 decimal places.\nAnswer: -0.0003405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 26*v**2 - 25*v + 4. Let k be q(25). Suppose 6 = -i + 21. Solve 0 = k*y + 1 + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*c + 226 + 85, 0 = 2*c + 2*b - 194. Let f = c + 87. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o = -30 - 166 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057887 rounded to six dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + f - 70 = 0, -4*a + 55 = -2*a - 5*f. Suppose 5*u = 25, -3*i - 5*u - 101 = -6*i. Calculate the remainder when i is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.00349?\nAnswer: 0.0000698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**5 - 6*c**4 - 10*c. Let y(k) = -k**4 - k. Let r(g) = i(g) - 6*y(g). What is the second derivative of r(u) wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-5 + (-87)\/(-18)) - ((9 - 20) + 8).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*v + v + 10 + 8*v)*(4 + 7 - 6) to z + p*v and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - p + 2. Let f(y) be the second derivative of -5*y**4\/12 - y**3\/3 + 3*y**2\/2 + 86*y - 2. Determine 3*f(q) - 4*m(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 + 2*l + l**2 + 0 - 2. Let k be v(-3). Suppose -q + 3*q = -5*g - 28, k = -2*g - 8. Is q at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.6615 to one dp.\nAnswer: 34.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 258 - -1?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0*s - 5\/6*s**3 + 0 + 37\/24*s**4 - 2*s**2. Let j be v(4). Calculate the greatest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*n + 14 = 0, 5*p - n - 21 = -5*n. Is (p - 1) + 265\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 8*v + 36. Let a = 1105 + -1103. Solve -a + 10 = v*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (0 - -1) - -2. Suppose -u*m = m - 8. What is the second derivative of 2*l + m*l + 5*l**2 + l**2 + 5*l wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/5*(2 - -3). Let r = j + -6. Suppose -3 = -2773*p + 2772*p. Sort 1, p, r in increasing order.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -30. What is the remainder when 6\/l - 53\/(-5) is divided by (6\/4)\/((-12)\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 110 = -2*y - 5*z, -5*y + 2*z + 82 = 0. Let m = -272 + 398. What is the greatest common factor of y and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 33*v - 31.\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7*z + 6*z + 12 = 0, 0 = 4*z - 12. Solve -4*k = 0, 0 = -5*m + v*k + 5 + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1.569 (c) 0.1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22786 and 22?\nAnswer: 250646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1657103.48 rounded to the nearest 100?\nAnswer: -1657100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:38 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 + -2.2. Let k = 0.16 - -1.44. Let c = 2 - k. What is the nearest to -1 in c, a, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffft. Give prob of picking 1 t and 3 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uycyauzfyzfzauya. Give prob of sequence uaza.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/48*(-261102)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -27, 32, 101, 180, 269, 368?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475))*-4*5.\nAnswer: -100*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 32*w = 6. Let h be ((-290)\/w)\/((-3)\/153). Let b = h + 12465. What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 1. Let z(j) = 20*j + 4. Let o(v) = -3*b(v) - z(v). What is the hundreds digit of o(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.436042 rounded to 3 dps?\nAnswer: -0.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2169, -8627, -19383, -34431, -53765, -77379, -105267, -137423?\n\"Answer: b**3 - 2155*b**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 13 = 2*f, k - 51 = 3*f - 65 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -2*f. Let i be (-3)\/((-1)\/((-4)\/(-6))). Let j(c) = 2*c**2 - 3*c**2 + 0*c + 3*c - i. Give j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 58 + 14 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 0*a + 0*a**5 + 7\/3*a**3 - 7 - 7\/6*a**6 + 0*a**2 + 0*a**4. Find the third derivative of w(i) wrt i.\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-3 - -6))*-2. Suppose v - n = 4*n + 31, 3*v = h*n + 28. Suppose 0*z + 4*y = 3*z - 6, -3*z + v = -2*y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - -1) + -3 + 38 + 33.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2933 and 29\/17179.\nAnswer: 120253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1342 (base 6) to base 15\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r. Let f(l) = -l. Give 8*f(c) - 4*w(c).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 717974.491 + -0.05561.\nAnswer: 717974.43539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -14581, -6, 0.4, 1 in ascending order.\nAnswer: -14581, -6, -2\/3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/3*v**3 + 7\/12*v**4 + 0*v - 8*v**2 + 0. What is the units digit of i(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -25. Let p(x) = -x**2 - 6*x + 18. Let i be p(c). Solve -i*w = 1 + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 680\/33150 - ((-42)\/(-104) + (-1)\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83867209 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 l(s) = 9*s**2. Let o(m) = -2 - 19*m**2 + 14*m**2 + 10*m**2 - 2*m + 2*m. Calculate l(o(n)).\nAnswer: 225*n**4 - 180*n**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 168767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -514?\nAnswer: -50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3934747, 3934733, 3934723, 3934717?\n\"Answer: 2*c**2 - 20*c + 3934765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6626816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*q + 4 = 186*q. Let n(i) = 2*i**3 - 19*i**2 - 2*i - 2. Let m(r) = -4*r**3 + 39*r**2 + 4*r + 5. Determine q*m(z) + 5*n(z).\nAnswer: 2*z**3 - 17*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2057)*4*-2 + (-2 + sqrt(2057))*6) + -4)**2.\nAnswer: 704*sqrt(17) + 8484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -151*v - 35. Let t(s) = 428*s + 101. Let j(u) = -17*l(u) - 6*t(u). Let w = -9 + -8. Let y be j(w). Solve y = -2*n - 0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/35)\/(84\/40)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 106 - 169 + 52766*g - 43. Let l be c(-9). Round l to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2274?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y + 66 - 120 - 100 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 148.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*n - 2*n - 2*z, -4*n + 2 = -2*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-11)\/(4158\/21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h**4 + 0*h + 0 - 1\/60*h**5 - h**2 + 0*h**3. Let v(c) = -2*c. Let p(a) = 3*a. Let k(g) = 3*p(g) + 5*v(g). What is i(k(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 + 2*c**2 - 2*c + 2. Let j be w(2). Suppose 58*i = j*i + 3936. List the prime factors of i.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = -3*p + 4*p - 35, -5*p - r - 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 3 + 3*u**2 - 6 - u**3 - u**2. Let k be o(-7). Let d = k - 257. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-394)\/(-3) + 2\/3. Suppose -6*q + 2*q = -z. Suppose 2*i + 2*y - 91 = -3*i, -56 = -4*i + 4*y. Calculate the remainder when q is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from vvtyvvcvcvgvlv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 14*v + 26. Let n be c(12). Is (-444686)\/(-116) + n\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -3*c**4\/8 - 2*c**3\/3 + 10*c**2. Let z(j) = 2*j + 1. Give -6*g(v) - 26*z(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -23165900 to the nearest one hundred thousand.\nAnswer: -23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*z - 182, z - 4*l - 19 = 67. Let u = z + -70. Calculate the remainder when 68 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 33 = -70*a - 103 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4284)\/(-2408))\/51*(-8)\/30. Which is the third smallest value? (a) -1 (b) g (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3*9 + -1. Let m = 883 + -877. Solve -n + m*n = -h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.318 + 5.318. Let k(f) = -f**3 + 2*f**2 + 7*f + 1. Let j be k(4). Sort j, b, -168 in decreasing order.\nAnswer: b, j, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 777, -3, 8, -4, -17.\nAnswer: -17, -8, -5, -4, -3, 8, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*t - 7*t + 12*t)*(2*t - 6*t + t) as l*t**2 + c*t + u and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1442 + 4?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20323.\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -27)\/(10 + -9). Suppose -4*p - 4*j - n = -0*j, 31 = -3*p - 5*j. Let c be -2 - -4 - 1\/(-1). Sort c, p, -1 in increasing order.\nAnswer: p, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 488 + 89. List the prime factors of d.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 583 and 636.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 1289*a**8\/28 - 9433*a**4\/12 - 2*a - 854. Find the third derivative of r(c) wrt c.\nAnswer: 309360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9609*q**3*x**5 + 3*q**3*x + q**3 - 3*q**2 + 2*q*x wrt x?\nAnswer: -192180*q**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l. Let i(m) = -2*m + 2. Let g(h) = -43*h - 14. Let k be 4\/((-5)\/(35\/2)). Let b(w) = k*i(w) - 2*g(w). Give b(q(p)).\nAnswer: -342*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184\/7 - 20\/7*v**2 + 164\/7*v = 0. Calculate v.\nAnswer: -1, 46\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, n: 1, a: 2, b: 6, d: 5}. Give prob of sequence janb.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*n = -4*o - 15, 0 = 5*o + 5*n + 30 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 724*a + 75. Let b(d) = -357*d - 36. Calculate 5*b(h) + 2*r(h).\nAnswer: -337*h - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (9 - (-11 + 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165.15 - 165.05. Which is the smallest value? (a) -7 (b) x (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -14*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1478 (b) -12 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose 14*a = 20955 + 17811. Let g be -4 + a\/651 - 4\/14. Is w <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 550\/3025 + (-11463)\/(-11)*-2. What is h rounded to the nearest 10?\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.181918 rounded to 2 decimal places?\nAnswer: 219.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 4*b**2 + 1. Let y be r(-4). Suppose -7802 = -11*a - 27822. Let f be (1\/(y\/a))\/(-1). What is f rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r + 497*r - 199*r + 7722 = 0 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuii. What is prob of sequence iiu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 - n**2 - 9*n - 7. Give h(4).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-3) + 0 + 0. What is the tens digit of -2 - n - (-15)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -636795 by -445.\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 2:52 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21506*j**3 + 58133*j**3 + 25838*j**3.\nAnswer: 62465*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207250 divided by 13?\nAnswer: 207250\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 37. What is the second smallest value in 1, d, 2\/19, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 68 + 1)*(d**4 - 2*d**4 + 0*d**4) to the form s*d**2 + i + w*d**3 + a*d + o*d**4 and give o.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 6. Let o = -60 - x. Let a = -37 - o. Solve g + a = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 0. Let s be (3 - (-3)\/(-9)) + w. Let y = 0.3 + -0.1. Sort y, 1\/2, s in decreasing order.\nAnswer: 1\/2, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 27 = -2*d. Factor 9*w**2 - d*w + 1 + 6*w**3 + 2 - 9*w**3.\nAnswer: -3*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55006 by -2.\nAnswer: -27503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 256735284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349621.\nAnswer: 7, 13, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 6. Let c(g) = 3*g - 6. Let w be c(4). Let d(j) = -j**2 - 5. Let f(z) = w*i(z) + 7*d(z). Let p be f(-1). Which is smaller: p or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -34, -113, -266, -517, -890, -1409, -2098?\nAnswer: -2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/20)\/((-861)\/(-5740))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-3)*12\/(-10). Suppose -8 = -g*h - y - y, 4*h + 4*y - 16 = 0. Suppose h*t + 36 = t. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97415141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**2 + 7*k + 62. What is i(-13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25625 = n + 4*n + 2*m, 0 = 2*n - 2*m - 10236. Suppose 4*v - 11677 = n. Round v to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(110) - sqrt(110)*-2*4)\/(sqrt(490)*2).\nAnswer: -4 + 9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -332713906.\nAnswer: -66542781.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 5*x**2 + 6*x + 13. Let z be g(-6). Let k = z - -68. What is the smallest common multiple of 18 and (k\/5)\/((-15)\/(-275))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*t = -75, -5*k + 2718*t - 2722*t = -88. Calculate the greatest common factor of k and 3940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/7 - 25286*j**3\/7 - 75902*j**2\/7 + 328766*j\/7 + 379380\/7 = 0. What is j?\nAnswer: -5, -1, 3, 12646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 1, t: 4, w: 2}. Give prob of picking 1 s and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/120 - c**5\/20 + c**4\/8 - c**3\/6 + c**2. Factor v(r).\nAnswer: (r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 252, -11 in ascending order.\nAnswer: -11, -4, -1, 2, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = j. Sort -5, j, 2 in ascending order.\nAnswer: -5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3982602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence styt when four letters picked without replacement from {x: 2, z: 4, s: 4, y: 1, t: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 5*v + 1. Suppose 0 = 2*p - i - 4 + 19, -2*i = 3*p + 12. Let f be m(p). Calculate the common denominator of 2 - (2 + f\/(-2)) and 97\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxmbnxmnzzmzxnbbnn. What is prob of picking 2 z, 1 n, and 1 x?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -58*c**2 - 8*c + 8. Let j(n) = 19*n**2 + 3*n - 3. Suppose 0 = -48*a + 895 - 751. Calculate a*v(i) + 8*j(i).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (5\/2)\/1. Let u = 0.74 + -0.7. Let h = -0.04 + u. Do h and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.4, -295, -4, -0.5, -2?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(58\/31) + 1. Let v = 64\/87 + k. What is l in -v*l + 7\/3*l**3 + 5\/3*l**2 + 0 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 189*p + 33. Suppose 0 = -6*y + 16 + 20. Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -3 + sqrt(1053) + -2*sqrt(1053) + 3*sqrt(1053) + -5)*-6)**2.\nAnswer: -15552*sqrt(13) + 343476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*k**2 + 2*k**2 + 0*k**2 as j*k**2 + n + r*k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/7 - 299608*m\/7 - 5610309604\/7.\nAnswer: -4*(m + 37451)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-436871)\/(559\/43 - 28\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295612234?\nAnswer: 2, 47, 3144811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/136 - (578\/(-112) + (-26)\/(-91)). Let g(w) be the third derivative of -1\/10*w**6 - 35*w**2 + 0 + 0*w**3 + 0*w - 1\/12*w**r + 1\/12*w**4. Factor g(c).\nAnswer: -c*(3*c + 2)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.048 + -33.952. Let h = 34.0115 + d. What is h rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 3927474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.77671ng to micrograms.\nAnswer: 0.05477671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.2, -2\/7, 2\/3, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42657 is divided by 6093.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - 1 - (-14 + 14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f**2 + 560*f - 514. What is c(-41)?\nAnswer: 1741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 9) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 49.30943.\nAnswer: -49.80943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 272, 2029, 6776, 16007, 31216?\n\"Answer: 249*z**3 + z**2 + 11*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10528, -42119, -94772, -168487, -263264, -379103, -516004?\nAnswer: -673967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let f be (-90)\/42 + 30\/(-35). Put f, -5, 1, q in increasing order.\nAnswer: -5, f, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = r, 2*k + 6 = 3*r. Suppose -k*n - 5*d = -31 - 1, -3*d = -3*n. Put -6, n, -4 in descending order.\nAnswer: n, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8708 - -8720. Calculate the smallest common multiple of r and 2874.\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (715 - 640) + (-4 - (-3 + 1 + -2 + 3))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 129 - 832 - 3*y - 224 - 638 in the form z + s*y and give z.\nAnswer: -1565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-13))\/j)\/(j**(1\/4)\/j))**(-12) assuming j is positive.\nAnswer: j**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 10*s + 3. Let w be t(-10). What is the second derivative of 4*g**3 + 123*g - w*g**3 - 117*g wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 1\/5 (b) -7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 32*m - 110. Does 52 divide s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 + 4*v + 10. Determine y(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 13. Suppose 3*w = -3, 5*i + 9*w + 5 = 4*w. Suppose -5*k = i, -102 = -3*o + o - 3*k. What is the highest common factor of s and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2383, -6420, -13141, -22540, -34611, -49348?\n\"Answer: i**3 - 1348*i**2 - 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15312 - -15309. Let z(r) be the first derivative of r**2\/2 + 3*r + 1. Let k(h) = h + 2. What is u*z(a) + 5*k(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = -5*k + 1, -11 = -4*q - 5*k. Let p = q - 6. Sort 4, p, 0.3 in descending order.\nAnswer: 4, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 24 + 15 + 18 - 57.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2353751 (base 8) to base 10.\nAnswer: -645097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 3 (c) 1\/7 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85522500 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 420, -4 in decreasing order.\nAnswer: 420, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*z - 367*z - 365*z - 364*z - 369*z + 1829*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 1}. What is prob of sequence ne?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43988501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -23001011?\nAnswer: 23001023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 376, 1483, 3322, 5887, 9172, 13171, 17878?\n\"Answer: -m**3 + 372*m**2 - 2*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5522303.65 rounded to the nearest one thousand?\nAnswer: -5522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 30*d - 543. Determine l(22).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2755 - -2619. What is the nearest to 1\/3 in 1\/5, -0.04, y, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2953 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147310152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.04 + 0.914. Round b to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -k, 3*w - 8*w + 3*k + 17 = 0. Suppose 5*b - 4*b = 0, -3*l - 18264 = w*b. Let g = l - -225223\/37. Find the common denominator of g and 1\/4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a232 + 5?\nAnswer: -5a229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2331355 divided by -5.\nAnswer: -466271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 3015429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -145154?\nAnswer: 145155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 2, s: 6, e: 1, h: 4}. What is prob of sequence hhe?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1333, -51, 2, -3, -3\/4?\nAnswer: 1333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*3794516\nAnswer: -1897258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380 and 8?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 376085 less than or equal to -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -1 + -61 + 83. Let q be -3 + (-54 - -3) + 0. Let c be (q\/(-15))\/((-6)\/(-200)). Calculate the highest common factor of c and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/11))\/(f**(-1\/4)\/f)*(f*f*f**(2\/7)\/f*f)\/(f**(2\/13)\/f))\/(f\/(f*f*f*f*f*f\/(f\/f**(-1\/4)))*f\/f**(-3)*(f*f**(-1\/6))\/(f*f**0)) assuming f is positive.\nAnswer: f**(32915\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1153.443 from 0.4.\nAnswer: -1153.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207036211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-940)\/350 + 4\/10 - -2. Let r = -32 - -26. What is the nearest to r in 0, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2993958\/495 + (0\/(-5) - 4\/10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54503 - -105886. List the prime factors of p.\nAnswer: 51383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -0*k. Suppose -4*w = -k*w + 1. Calculate the remainder when 2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*h + 2539 = h, 4*y + h = 10096. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 10*b**2 + 10*b - 8. Let h be w(9). Find the common denominator of (h - -1) + (-267)\/81 and -59\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4041, -16181, -36423, -64773, -101237, -145821?\nAnswer: -198531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.02 + 21. Let d = g + 38.02. Let f = d - 42. Put -0.3, f, -1 in descending order.\nAnswer: -0.3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 22, -5, 94, 142 in increasing order.\nAnswer: -5, -4, 0, 22, 94, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -14. Let w = -0.05 - 5.95. Let k = 4.7 + -5. Which is the nearest to -0.1? (a) h (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33122 or -33128?\nAnswer: -33128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from immeeieomiioeooimefe.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = x + 5*w, 4*w - 91 = -5853*x + 5848*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16502371 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6951*y - 107 = -4*l - 6954*y, -2*y - 105 = -5*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11561014 + 5238205. Let z(c) = 3322806*c + 3. Let q be z(1). Let o = q + g. What is o rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/5 + 4*a + 51\/5 = 0.\nAnswer: -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 354980?\nAnswer: 354979.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + q - 6, 138*s = 133*s + 3*q - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16729.\nAnswer: 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 169019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 299, 211, 35, -259?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/8010200 and -47\/550.\nAnswer: 8010200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -23. Calculate the remainder when 21 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6625258, 13250516, 19875772, 26501026, 33126278?\n\"Answer: -s**2 + 6625261*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 365015 - -0.172.\nAnswer: 365015.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11188 - 6987. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489635079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + r + 2*r**3 - 3*r**4 + 2*r**4 + r + 1 - 3*r to n*r + q*r**2 + u + t*r**3 + i*r**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20944 and 31444798.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1481114700 divided by -780.\nAnswer: 1898865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 63. Let j = u + 19. Is 18 a factor of 4*(-269)\/(-10) + j\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwoooubuuouwwooo. What is prob of sequence wub?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 20*k**3 + k**2 - 2*k + 2. Suppose -5*q + 2*q = -3. Let w be s(q). Solve 5*j + w = -2*p, 0*j - 2*p - 1 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-2))\/(3\/(-4)). Let v be (-248)\/u - 4\/(-20). Suppose -2*b + v = 3*b. Solve 0*x - 20 = -b*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 8. Let w be k(6). Let n(g) = -13*g + 1. Let r(i) = -7*i + 1. Let j(x) = 3*n(x) - 5*r(x). Calculate j(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1785 and -5 - (2*((-224)\/(-7))\/(-4) - -2).\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161928 is divided by 2467?\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15 = -2*v + 4*p, -3*v + 3*p + 15 = 0. Sort 485, v, -4 in decreasing order.\nAnswer: 485, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (98\/(-4))\/(2\/(-12)). Let s be (-7)\/(o\/6) + (-7650106)\/1580880. Let k = 2\/14115 - s. Calculate the common denominator of -47\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(243)*-2 + sqrt(3) - (3 + sqrt(3)*-2 + sqrt(3))))**2.\nAnswer: 256*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of -4*(-19126 + 2) - 114\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44182866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589582 is divided by 1136?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, 0.3, -0.1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262297577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*s + 14, -6*p + 4*s + 24 = -p. Which is the closest to -2\/5? (a) 3\/4 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 4.9. Let u = k + -6.8. Let y = 3 + u. What is the second biggest value in 0, -5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8542*o*x + o + 1147*x wrt o?\nAnswer: 8542*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, i: 4}. Give prob of sequence iii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + 84. Let f be (-212)\/(-6) + 14\/c. Let r be (-4)\/2 + f - 2. Calculate the highest common factor of 80 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(2 + sqrt(1088)).\nAnswer: 3 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3898706 and 98.\nAnswer: 27290942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18957 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*i - 142*i + 35 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 19*w + 1205. Determine v(-45).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = q - 8, 2 = -4*n - q - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 + u**4 - u**4 + (-u**2 + u**2 + 2*u**2)*(u**2 + 5*u**2 - 7*u**2)*(5 + 1 - 4) to the form m*u**2 + g*u**3 + n + l*u**4 + p*u and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 591861120 to the power of 1\/2, to the nearest integer?\nAnswer: 24328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 + 11*p**2 + 6*p + 5. Determine k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.2 - 0.2. Let k = -19.7 + n. What is the closest to 0 in k, -1\/5, 3\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13940880 divided by 1742610?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c1 - 4?\nAnswer: 5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 532 = 4*v, -v + 532 = 3*v + 2*d. Suppose 2*j = v - 37. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 11*v + 9. Let w be n(9). Let d = w - -6. Is -1 + (-6)\/d*30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -5 (c) -2 (d) 0.33 (e) -0.02 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 7*x + 14. What is the second derivative of -114*q**x + 2*q - 20*q**3 + 114*q**2 wrt q?\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000101110010000 (base 2) to base 8.\nAnswer: -2005620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 3:30 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 < 155\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 51*q**2 - 194*q + 12794. Let o be p(52). Factor 3\/2*x**2 + 0*x - o - 1\/2*x**3.\nAnswer: -(x - 2)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 4b?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**2\/2 - 3747. Let t(d) = 9*d - 1. Determine -4*h(c) - t(c).\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-9)\/(-3) - (-5)\/(-20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884078 is divided by 209342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.03 - -0.03. Let x = t - 0. Is -2\/7 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-18)*3\/((-6)\/(-2))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3526087 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 7*n. Solve n = -0*o + o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 6*w**3\/13 - 242*w**2\/13 + 1800*w\/13 - 1984\/13 = 0.\nAnswer: 4\/3, 8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**4 + 4535*d**3 + 1039555*d**2 + 5085025*d = 0.\nAnswer: -451, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2*w**2 - 4*w + 2. Let u be g(3). Let f = 4 - u. Factor -5*h**2 - 16*h**4 - 11*h**2 + 32*h**3 + 4*h**f + 5*h - 8*h**3 - h.\nAnswer: 4*h*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -2*i, 4*p = -3*i + 5 + 2. Suppose -6*u - 30 = -i*u. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141579 + 385040. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305 and 5569849?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/((-27)\/(-14)))\/((-8)\/(-16))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i + 3*i + 2*i.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 4*i = -5*p + 15459, 3*i + 12366 = 4*p. What is the remainder when p is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.6 + 1.4. Let j = -19.2 + w. Which is the nearest to 1\/4? (a) j (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 17478138\nAnswer: 17478137.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/(11\/(22\/1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/120 - 89*i**3\/20 + 133*i**2\/10 - 642*i + 2. Factor h(d).\nAnswer: (d - 266)*(d - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -63, -59, -51, -39, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -44 - -13) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.6 - -6. Let b = -0.2 - 0.2. Let w = b + a. Sort w, 2, -3\/4 in descending order.\nAnswer: 2, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 112 - 38. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k*k**(-23)*k)\/k*k*k)\/(k\/(k**(-10)\/k)))**(-1\/52))**26 assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5900918.36 and 842.\nAnswer: -5900076.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 334*u. Let s(p) = -2*p. Calculate s(t(q)).\nAnswer: -668*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*d + 3*d - 6, 2*h + 8 = d. Suppose -r = -d*r + 12. Let i(w) = -w + 1. Let l(u) = u. Let t(z) = -5*i(z) - 6*l(z). Determine t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vazkavsszvevzssazzev. What is prob of sequence zsvk?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*h - h. Suppose o = 2*f - 1, -o + 2 = -h*f + 7. Let g(d) = d + 3. Let r be g(0). Solve -f*w - r = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3551095, 7102196, 10653297, 14204398, 17755499, 21306600?\n\"Answer: 3551101*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841 is divided by 135.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 9*n - 23. Let p be t(4). Let i(u) = -u**3 - 3*u**2 + 3*u. Let r(y) = 2*y**3 + 5*y**2 - 5*y. Determine p*r(g) - 5*i(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1526210 <= -1526209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/7 + 396342*d**2\/7 - 39272934240*d\/7 + 235623337344\/7.\nAnswer: -(d - 198168)**2*(d - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a - 30. Let r be d(-5). Suppose -5*i + 334 = 329. Solve u = i - r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 747*s + 151*s**4 - 747*s + (-4 + 4 - 2*s**3)*(-7*s + 3 - 3) + 4 - s**4 - 4 as g*s**3 + i + l*s + v*s**4 + o*s**2 and give v.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + n**2)*(n**3 + 0*n**3 + 0*n**3) + 102 + 13120*n**5 + 127 + 2273*n**5 - 229.\nAnswer: 15394*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - (8\/22)\/((-102)\/561). Sort -8, a, -2, -4.\nAnswer: -8, a, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3420.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 4*y + 15. Suppose -y*q = -i - 7, -5*i = -5*q - 4 + 29. Let t(z) = -1. Let g(k) = 3*k + 9. Let f(c) = g(c) + 9*t(c). Calculate f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33281566687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 + -324. Sort 4, d, -2, -5 in decreasing order.\nAnswer: 4, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from pispppii.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -12. Let r = -10.988 - u. What is r rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*(48\/160*(15 - 0) + -12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 7. Suppose n - 2*n + 3*u = -11, -4*n = u - 18. Suppose 3*q - n = -5*l, -3*q = -2*l + 5*l - 9. Solve 10 = -5*h + q*y, -4*h + 2 - v = -3*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500 times 0.056?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) - (sqrt(405) - sqrt(405)*-2 - sqrt(405))) + (sqrt(315)*2)\/sqrt(7))\/(sqrt(36)\/sqrt(4)*-4 + (sqrt(882) - sqrt(18))\/sqrt(2)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 + -2 + -7 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -705\/2 - -399. Let v = 46 - x. What is the third smallest value in -0.1, 4, v, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -337.8.\nAnswer: 337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469831 and 2759.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-20) - (-4)\/(-10). Let w(o) = 7 + 8*o + 2*o - 6*o**2 - 2*o - o**3. Let l be w(-7). Is l at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265415 + 530838 - 265423 - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 3\/5, -15, 0, -226?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjeu when four letters picked without replacement from ujuuueujjmeluujm.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256\/28953 - 2641172863\/752778. Let i = p + 3508. What is the common denominator of i and -31\/18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p - 15 = 0. Suppose -5*z + s + 28 = 5*s, 5*z + p*s - 26 = 0. Solve h + z*h = 4*a - 26, 10 = 3*h + 4*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -696.7 + 697. What is the biggest value in -1, m, 0.18, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let k(a) = 5*a - 1. Let v(d) = 3*f(d) + k(d). Let t be v(2). Suppose 2*u = -t*u + 165. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/(-20))\/8*480\/(-8)*-1\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/5 + 63*f**2\/5 + 12*f = 0. What is f?\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -257*y**3 + 6*y**2 + 2*y - 5. Let q(l) = 2*l**2 + l - 1. What is 3*q(n) - s(n)?\nAnswer: 257*n**3 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*j - 251*j + 54107754 = -15828246. What is j rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286 * 71\nAnswer: -20306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 94 + -3 + 6 + -7. Suppose 83*d = i*d - 2737. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 7*x + 3*z - 12, 5*x - z = -4. Suppose k - 3*j = -x + 6, -12 = 3*k + j. Which is the third smallest value? (a) k (b) -8 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 + 7*g**2 + 25*g - 1562. Let w(c) = 31*c**3 - 40*c**2 - 101*c + 6248. Let p(q) = 9*n(q) + 2*w(q). What is the first derivative of p(x) wrt x?\nAnswer: -3*x**2 - 34*x + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*u + 23 = 0, 4*a - 48 = -5*u - 1. Let c be a + -1*(-3)\/(-3). Let g be -8 + c - 3\/1. Does -4 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1850164\/259 or -7144?\nAnswer: -7144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 381*d + 20. Determine q(-1).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 26. Let l be 6\/(-33) - 194\/22. What is the remainder when 1 is divided by n(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -27, 1\/9, -4\/5, -4, 2763?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 1 + 0*w**3 + w**2 - 2 - w. Let l(j) = -3*j + 3*j**3 + 136*j**2 + 128*j**2 - 6 + 135*j**2 + 129*j**2 - j - 522*j**2. Give -l(d) + 6*s(d).\nAnswer: 3*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-6))\/(-20 + (-59)\/(-3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -65*m**2 - 4*m + 1. Let l(i) = 239*i**2 + 15*i - 4. Let b(w) = 22*j(w) + 6*l(w). Suppose 4*q - 10 = -q. Let x(p) = p - 1. Give q*x(a) - b(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*l**2*t**3 - l**2 - 31029*l*t - 2008*t**3 - 68*t**2 + 2*t + 6 wrt l?\nAnswer: 46*l*t**3 - 2*l - 31029*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkzozkookrzkzhrrre. Give prob of picking 1 k and 1 o.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 130, 364, 692, 1114, 1630, 2240?\n\"Answer: 47*h**2 + 93*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -10 - (-7 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11310 - -110041404?\nAnswer: 110030044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24467.90486 - -24468. Is z at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (-6)\/(2 - -1). Let p = -214 + -44. Let g be 4*1 - p\/(-30). Is g > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 135. Determine g(69).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 72929.6, 1\/2, -2\/7?\nAnswer: 72929.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-8) - -5 - (-1)\/(-4). Suppose 0 = g - d - d - 6, r = -d. Let z(u) = 25*u - 34. Does 29 divide z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/35)*y)\/y**36 assuming y is positive.\nAnswer: y**(-1223\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6b55 (base 16) to base 6\nAnswer: 331113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7454 = 172*i - 5734 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 71167 and 1.37?\nAnswer: 71165.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -5*t**3\/2 - 3*t**2 - 930*t. Let u(c) = 1. What is h(v) + 6*u(v)?\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a millimeter in micrometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163192 and 5600?\nAnswer: 114234400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 912 + -909. Solve t*y = -12*y + 75 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22393 - 98*q**3 - 112*q**3 + 212*q**3 + 7*q**2.\nAnswer: 2*q**3 + 7*q**2 + 22393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 29855 = -392*k + 394*k, 5*o + k - 149220 = 0. What are the prime factors of o?\nAnswer: 5, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11532780?\nAnswer: 2, 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 67*p - 8. Let x(b) = -345*b + 42. Let h(l) = -21*u(l) - 4*x(l). Let j(q) = 85*q. Determine h(j(v)).\nAnswer: -2295*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + 2 + -10 - (0 - -4). Let k(o) = -o**2 - 8*o - 6. Let q be k(-7). Suppose -p = q - 0. Which is the nearest to p? (a) 0 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11181 to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6226 and 101\/21508.\nAnswer: 236588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 7*d - 50. Sort d, -2, -5, -3 in increasing order.\nAnswer: -5, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 2*v - 12. Suppose 162 = 8*x + 98. Let d be 1\/(58\/x + -4 + -3). Give r(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 102*n - 696. What is v(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 916 and 2748?\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 c when three letters picked without replacement from {w: 1, c: 6, j: 2, l: 4, v: 2, a: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4 + 4. Suppose -r*m = -2*x - 24, 0*m = -5*m - 4*x + 30. Let n be m\/12 - ((-3 - -2) + 2). Is 3.5 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 260 - 260.17. Which is the third biggest value? (a) y (b) -4 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 944 = -969. What is the tens digit of i + (2868\/6 - -3) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -81*0.00823\nAnswer: -0.66663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 + 1 - (7 - -5 - 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34197949915907 and 1.1?\nAnswer: 34197949915905.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9880723 divided by 31.\nAnswer: 318733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1.30205\nAnswer: -5.2082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let x(q) = 31*q**2 + 4*q - 1. Let t(r) = -6*m(r) + x(r). Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505234232?\nAnswer: 2, 1549, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 8*t - 14 = -p, -3*t + p - 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11410430 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-222359.\nAnswer: -1111795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) + (-21)\/(-6). Suppose -9*b - 33 = -12*b. Let r = b + j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -565*a - 5 - 9 + 635*a + 15 + a**2 to the form i + m*a + d*a**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15543, -31075, -46607, -62139, -77671?\nAnswer: -93203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 3*x - 3*x + (x**4 + 0 + 0)*(0 - 11 - 1))*(-209 - 203 + 18*x + 374).\nAnswer: -252*x**5 + 532*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 296136 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/((-12075)\/(-2)))\/(-149). Let x = -27261793\/2398900 + l. Let a = -125\/28 - x. Find the common denominator of a and 9\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2\/11, 5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9147.\nAnswer: 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1862*v**2 - 483*v - 5. Let t(l) = 2*l. Let y(h) = -f(h) + 3*t(h). What is the second derivative of y(i) wrt i?\nAnswer: 3724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-52)\/120)\/(7\/(-101892)*3). Let y = -2102 + q. Find z, given that -6\/5*z**3 - y*z**2 + 0 + 2\/15*z**4 + 8\/15*z + 4\/15*z**5 = 0.\nAnswer: -2, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16095 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 3. Let u(d) = d**2 - 11. What is the units digit of u(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(700)*-2 - sqrt(700))**2 + sqrt(700).\nAnswer: -170*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*h + 4 + 9 = 0, -2*h = 5*v - 22. Solve -o - 4 + 17 = -4*l, l = o - v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -25. What is r rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 4:00 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*v + 3, 0*v = -3*v - 3*g + 3. Suppose -17065 = -d - v*z, 64712 = 5*d + 2*z - 20581. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5708947 - 3151201 = -4*l, -3*l + 15 = 0. Is x\/(-153) - 2\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 80 = 10*o, -58*o + 49*o = 18*a - 468 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1715, 1010, -913, -4666, -10861, -20110?\nAnswer: -33025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18175 + 30057. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 668 = -5*h, 2*k = 4*h - 9*h + 671. Suppose h = 3*z + 403. Let r = -53 - z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -70b0?\nAnswer: 70b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 - s - 1. Let q(z) = 5 + 5*z**2 + 0*z + 6*z + 0*z**2 + 16*z**2. Suppose -y - 3*o - 5 = 0, -5*y = 3*o + 2*o + 15. What is y*q(h) - 11*w(h)?\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x. Solve 32 = 3*b - x*b - 5*o, -2*b + 12 = -o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009025 to 6 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 12) in base 2?\nAnswer: -10011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42412 - 23140?\nAnswer: -121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 99 = -229. Suppose -c*z = -38*z - 3*q - 28899, -z + 9653 = 4*q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 17*k**8\/1680 - k**6\/30 - 11*k**3\/3 - 21. Let r(g) be the third derivative of b(g). Find the third derivative of r(p) wrt p.\nAnswer: 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Which is the closest to -3? (a) 0.5 (b) j (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + -1361.\nAnswer: -1360.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b. Let u(t) = -4*t. Give 4*l(g) - 3*u(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(7 - ((-10)\/4 - (-35 + 31)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -93*x - 251. What is the hundreds digit of i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*p = 7, 2*b + 0*b - 38 = -4*p. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 25*p**2 + 21*p - 80. Give q(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -126.694, -3.\nAnswer: -126.694, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 + j**2 - j + 1. Let q be 3\/(1\/1*3). Let t be n(q). What is the derivative of 1 - t - 9*i**3 + 1 - 11 wrt i?\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2\/17, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 6*w + 9. Let p be y(-7). Let c be (-14)\/(-10) + p\/(-5). Let n be (-3)\/(-12) + (-6)\/(-8). What is the greatest common factor of c and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-27) + 22\/18. Suppose -3 = -2*o + 3. Solve 0 = -o*m - 13 + b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 3*z**2 - 3*z**2 + (-3 + 0 + 2)*(910*z**2 + 59956920 - 59956920)*(-2 - 3 + 3).\nAnswer: 1822*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 491 = 5*j, j + j = -2*s + 206. Suppose -j = -155*d + 154*d. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -11*i - 2464. Let y be (-2)\/6 + 3791\/51. Calculate the common denominator of 57\/68 and y\/(-5)*(-120)\/i.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/6 + 23*x**2\/2 + 204*x - 7058. Factor h(g).\nAnswer: (g + 12)*(g + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 1, u: 4, e: 1, c: 1, m: 3}. Give prob of picking 1 f and 1 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (296 - 107 + 171 + 805 + 115)*(4*c + 2 - 2) in the form g + i*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9*a - 16 = -3*m, -a - 6 = -4*m. Calculate the remainder when 11 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -0.4 (c) 13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/5 - -4) + 2. Let i(k) be the third derivative of 0*k - k**u + 0*k**4 + 0 + 0*k**3 + 1\/180*k**5. Factor i(f).\nAnswer: f**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (-2 - (-3 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7804209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*h + 2*h**3 - 4 - 11*h**2 + 235*h - 403*h + 2*h**4 as u*h**3 + v*h**2 + o + y*h + l*h**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooofffooffffff. What is prob of sequence ooo?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -177863.404 to the nearest 10.\nAnswer: -177860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -32*n + 40*n. Let x(p) = -n + 30 - p**2 + 36. Let u(t) = -t**2 + 7*t**2 + t**2. Give x(u(s)).\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111446123 (base 7) to base 12\nAnswer: -2332585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 119573318.06913 and 4.\nAnswer: 119573322.06913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/119)\/(33*(-6)\/(-42)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*o - 418 = 161*o + 356. What is the remainder when 212 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctcttttt. What is prob of picking 1 t and 1 c?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1153057.2598 to the nearest 10.\nAnswer: 1153060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b**2 + 5*b**2 - 5*b**2)*(12 - b - 12)*(5 + 0 + 1).\nAnswer: -12*b**3 - 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608520 is divided by 129?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 33\/10 of a micrometer?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, z: 2, h: 1, t: 2, j: 2}. What is prob of sequence pz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 6*c + 6. Let t be (-2)\/8*(20 + 8). Let m(a) = a**2 - 4*a + 4. What is t*m(r) + 5*z(r)?\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17815\/1506 - 1\/251. Calculate the common denominator of 67\/2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, 0.5, 4\/7, 75, -2\/9 in ascending order.\nAnswer: -2\/9, 0.5, 4\/7, 75, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:03 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:46 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, -2\/3, 33\/10325, 4 in descending order.\nAnswer: 4, 0.1, 33\/10325, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))\/p**(-1\/2)*(p**(2\/11)\/p)\/(p\/p**(-2)))**(18\/13) assuming p is positive.\nAnswer: p**(-657\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 9 (b) 1 (c) -1\/5 (d) 21 (e) -2\/7 (f) 283\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12128 and -367.\nAnswer: -4450976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 7)*-1*-1. Let x(p) be the first derivative of 1\/3*p**3 - 3 - 3*p**2 + p. Determine x(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/18)\/(-2 + 11\/6). Suppose 4*n - 32 = 4*f, 4*f = -0*n - 4*n. Which is the biggest value? (a) n (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/386755?\nAnswer: -4\/386755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6013 - -6539.7. Let q = y - 496. Round q to 0 dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44, -0.1117, 21?\nAnswer: -0.1117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b03a - 942?\nAnswer: 2a3c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 38 = -2*w, -79*w + 82*w - 32 = -a. Solve 0 = 18*c - w + 63 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k + 2. Let r(v) = k*v**2 - 6*v**2 - v**2. Let y(d) = d**2 + 5*d**2 - 4*d**2 - d**2. Determine y(r(i)).\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1782\/(-30) + 15)*1\/63 and -59\/330.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z. Let r = 52\/57 + -118\/57. Let s = r + 544\/437. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t\/t**(2\/7)))*t)\/(t*t\/(t*t\/t**(-13))) assuming t is positive.\nAnswer: t**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117 (base 12) to base 2.\nAnswer: 10100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -197*k + 3. Let x be v(2). Let h(c) = -20*c**2 + c + 1. Let w be h(-1). Let o = w - x. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-447)\/21*(-2)\/28. Let w = l + -1\/49. Let u = 3.27 - 3.67. Is w < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -6. Let s(f) = f**3 + 5*f**2 - 5*f + 6. Let v be s(d). Let h be 6\/(120\/(-125)) - 9\/12. Sort v, h, 1\/10 in increasing order.\nAnswer: h, v, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596941.\nAnswer: 596941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/(21\/63). Let x = -2 + 8. Let g = x + -6. Put g, v, -3 in increasing order.\nAnswer: -3, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6578 divided by -26?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 38*r**2 - r + 41. Let w be m(38). Suppose -2*y + 3*c = -1095 - 2267, -4*y + w*c = -6718. What is y rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429 and 379599?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.463123ug in nanograms?\nAnswer: 1463.123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.42 and -2?\nAnswer: 8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Suppose -4*n = -n - 3*v - 246, -5*n - a*v = -437. Let x(w) = w**3 - 9*w**2 + 8*w + 29. What is the remainder when n is divided by x(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:09 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 785 + -1034. Which is smaller: u or -247?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, -14.\nAnswer: -14, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112041757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1)*(1 - 2). Let x = 42 + -40. Let p = -0.5292 + -0.0708. Sort x, p, v.\nAnswer: p, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - 0) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/56*1 - (-244)\/7. Suppose 0 = -3*m - 2*g, -c*m + 4*g = -32*m - 18. Find h such that 7\/3*h + 4\/3*h**m + 1 = 0.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3234181252?\nAnswer: 2, 17, 47561489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -102148221?\nAnswer: -102148221.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 0*o + 0*o)*(-o**2 - 2*o**2 + o**2) + (-3 + 2 + 3 + (2 - 3 - 1)*(-3 - 2 + 4) - 4 + 5 - 2)*(-1 + 1 - o**5).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 1, t: 2, w: 2}. What is prob of picking 1 t and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 30. Let w(c) = 7*c**2 - 4*c + 10. Let h(q) = 20*q**2 - 11*q + 29. Let t(m) = l*h(m) - 17*w(m). Is 18 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1140 by -95.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212 and 13858.\nAnswer: 1468948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (1548\/189 + -3) and 37\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2955319*k**2 - 2955319*k**2 + 14*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1480 - 1452. What is the highest common divisor of 427 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.5. Let z = -194613 + 194610. What is the nearest to -2\/3 in d, z, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8 - 2) + -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 96 = -9*z. Suppose -z = -0*c - 2*c. Suppose 0*w - c = -w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-12 - -5) + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 824 and 721.\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 29 = -3*p. Let r be p\/(-2) - (-15 + 7). Find z such that 0*z**2 - z - 2*z + 0*z + 6*z**r - 3*z**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -0*a + 104. Let f(q) = -q**3 - 9*q**2 - 9*q + 10. What is the units digit of f(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1973561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11855, -6665, -1477, 3709, 8893?\n\"Answer: -i**2 + 5193*i - 17047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53888 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -461*164 + 2 + -1. Let l be 1*(-1 + 1)*(-3 + 4). Let b be (l - (-6 + -4))*(-3 - f). What is b rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/7 - (-6)\/(-21). Let s = 19 + -19. Find the third derivative of v**u + 2*v**2 + 2*v**5 + s*v**2 wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 92425.515 hours?\nAnswer: 550.151875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/91 - 3755\/(-13). Suppose 6*a + 61 = w. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -29?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1386 and 90.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 + j - 4. Determine p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 13*f**2 - 20*f - 20. What are the prime factors of n(15)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4523.\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2\/9 + 232*z\/9 + 226\/3 = 0.\nAnswer: -113, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*k + 11, -17 = -4*k + 17*j - 22*j. Suppose -4*w = -3*s + 32, k*s + 11 = w + 46. Calculate the greatest common factor of 300 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3130.4 - -3129.9. Let t be 10\/(-36) + 2\/4. Which is the third smallest value? (a) l (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*l + 91927 - 366715. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0286 + 2.5986. What is v rounded to 1 dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 1727*y - 206015. Determine n(112).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.1359?\nAnswer: -0.1359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 250, 425, 616, 829, 1070?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 4*c + 1164 = 0. Let u(k) = -206 - 3*k + c - 4*k. List the prime factors of u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r - 552 - 119*r + 59*r + 8*r**2.\nAnswer: 8*r**2 - 552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukxfkuxfuxxxkk. What is prob of picking 1 u and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*q**2 - 15179*q**3 + q**2 + 14967*q**3 in the form c*q**3 + d*q**2 + z + n*q and give c.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and (36\/(-10))\/((-192)\/1440)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f*f\/f**(-4\/9))\/f*f\/((f*f**(-8\/5))\/f) assuming f is positive.\nAnswer: f**(272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 12. What is the remainder when 80 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/11 - 28*r**2\/11 + 96*r\/11 = 0. What is r?\nAnswer: 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 19 = 5*s, 9*s - 8*s + 69*c + 62*c - 196*c = -63*c - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366521361 a multiple of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.4, -3\/2, 1\/5 in ascending order.\nAnswer: -3\/2, -0.4, -1\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/4)*x))**(1\/23)\/(x**(-1\/4)*(x**(-1\/4)*x)\/x) assuming x is positive.\nAnswer: x**(45\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, c: 2, r: 2, f: 7, g: 1}. What is prob of picking 1 w and 1 f?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2813887.3419 and -0.03.\nAnswer: -2813887.3719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-1\/9)*(k**2*k)\/k*k*k*(k*k\/k**(-2))**(-1\/10)*((k\/(k*k**(4\/3)))**23)**(1\/9) assuming k is positive.\nAnswer: k**(146\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:24 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (58 - 54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/9)*k)**(6\/13)\/((k**(-5)*k)\/((k*k*k*k\/(k\/(k*k*k**(1\/15)))*k)\/k)) assuming k is positive.\nAnswer: k**(1868\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53456.43 millennia?\nAnswer: 534564.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*d**3*g*u**2 + 396*d**3*g + 1730*d**3 + 11*u**2 with respect to g.\nAnswer: -89*d**3*u**2 + 396*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/693 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5\/7 + (-6955)\/(-455) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -88?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j*m**2*x - j*m - 1768*j*x - 97*m**2*x - 2*m**2 - 182*m wrt j?\nAnswer: -6*m**2*x - m - 1768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*z + 356*z - 8640 = 11*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**2\/2 - 3*y - 4. Let u be a(11). Suppose 0 = -b + 5 + u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2554523.1 to the nearest 1000.\nAnswer: 2555000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/(-36))\/(2\/(-6)). Suppose f*n + 5*c - 16 = 30, 0 = 3*c + 6. Let p = 50 + -42. Calculate the lowest common multiple of n and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727513 a multiple of 1081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (1 - -5) + -4 - -4. Suppose 0 = -2*v - 5*w + 20, 59*v - w = 55*v + 18. Sort v, n, -3, 4 in decreasing order.\nAnswer: v, 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 288610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 3. Let u be h(-4). Suppose 5*g = u*d + 35 + 30, 0 = -5*g - d + 47. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -122 - 23*h**4 + 122 - 3*h**4 - h**4 + 2*h**4 + (-5*h**3 + h**3 + 2*h**3)*(-2*h + 0 + 0) as t*h + v*h**2 + k + u*h**4 + p*h**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24058 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -454.01142 and -4.29025.\nAnswer: -458.30167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309*d**3*g**2*m**3 - 3*d**3*g**2*m - 2*d**2*g**2*m**3 - 608*d**2*g*m + d*g*m**3 - g*m**2 wrt d.\nAnswer: 1854*g**2*m**3 - 18*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 48 = 12*l. What is the derivative of -26*o + 15*o - 4 + l*o + 11*o wrt o?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.82143 to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4046, -8487, -13322, -18551?\nAnswer: -24174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19869*t**3*v**2 - 454*t**3*v + t**3 - 2*t*v wrt v?\nAnswer: 39738*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322254659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-990)\/(-42))\/((-33)\/((-3234)\/35))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + -3 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19950\/29 - -688. Which is smaller: j or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.88 - -8.12. Let q = o + -7. Which is the biggest value? (a) -2\/21 (b) q (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50668\/(-5936) - (-52)\/4 - 72\/42?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/(1\/12*148\/333)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1284 = -3*v, -63*v - 2*h = -60*v - 1284. What is the remainder when v is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, p: 2, m: 7}. What is prob of picking 1 p and 1 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007789339 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3\/8, 1\/3544, -0.018, -2\/11, 0.5, 1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 376465207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(288)*-2)*-4)**2*6 + (-3*(5 + sqrt(98)*-1) + 2)**2.\nAnswer: -23586*sqrt(2) + 114043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02567 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 2. Let i(u) = u + 5. Let f(x) = x + 4. Let q(c) = n*i(c) + 7*f(c). Let y(z) = 4*z - 9. Determine -18*q(a) + 4*y(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let y(j) = -2*j**2 + 239. Calculate y(b(g)).\nAnswer: -8*g**4 + 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t**3 - 2*t**2 + 1. Let d be i(-1). Let j be ((-6)\/(-14))\/(12\/d). Let x = -3.1 - 0.9. Is x greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2144.5621 to the nearest 10.\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/40 + 29*f**5\/5 + 115*f**4\/8 - 663*f**2 + 1. Factor y(j).\nAnswer: 3*j*(j + 1)*(j + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 1.41\nAnswer: 16.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2273*i**2 + 18. Let g(r) = 9471591*r**2 - 75009. Give -6*g(j) - 25003*k(j).\nAnswer: 2273*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285318*m**3 - 142659*m**3 - 142645*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 900880957 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p**3)\/p**16)**40)**(-3\/10) assuming p is positive.\nAnswer: p**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 242b (base 14) in base 7?\nAnswer: 24254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 168 = 57*i + 95*i, 8*i + 2*i - 7*r - 32 = 6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 11)\/(1\/(-7)). Let k = -57 + q. Find the common denominator of 111\/10 and -3 - k*(-310)\/(-44).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 3, k: 3, e: 6, h: 1}. What is prob of picking 1 k and 1 e?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33151 + 33151 - 96*t**2 + 11*t**2 - 2*t to the form z*t**2 + k*t + a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17169*w + 17169*w - 4 - 62*w**2.\nAnswer: -62*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 137560*i - 2477700.\nAnswer: 5*(i - 18)*(i + 27530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 112.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -52496191971.77 + -0.5\nAnswer: -52496191972.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 11 = 0. Let s(o) = o**3 - 12*o**2 + 12*o - 7. Calculate the remainder when s(k) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 + 8 + 4\/(-1). Let j = 10 - q. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 1521.\nAnswer: 25857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Let h(v) = v**3 - 14*v**2 - 7*v + 56. Let g be h(14). What are the prime factors of 56\/g + 187\/n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22121 + 0?\nAnswer: 22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 56*x**2 - 514*x - 130. Determine q(-64).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*b - 319 + 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g + 2. Suppose 0 = n - 0 + 3. Let m be a(n). Suppose m*x + 2*x - 278 = -2*r, 5*x = -3*r + 420. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9550 + -0.02.\nAnswer: 9549.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 105514 (base 8) in base 14?\nAnswer: cdd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3128 and 31118448.\nAnswer: 529013616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 + -171. Put l, -1, -67 in descending order.\nAnswer: l, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**6\/360 - m**3\/6 - 2*m. Let v(q) be the second derivative of g(q). Let w(z) = 6*z**2. Determine v(w(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*t + 569675 = -260605. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3901 + 0.0001. What is the biggest value in j, -2\/5, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/26 + (-138312)\/2938 + -8.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 4*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/60 + i**4\/12 + 7*i**3\/6 + 4*i**2. Let c(l) = -4 - l - l**2 - l**3 + l**2. Determine 5*c(o) + 3*k(o).\nAnswer: o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -29*i**2 + 17*i + 10. Let r(o) = -14*o**2 + 7*o + 5. Give -2*k(s) + 5*r(s).\nAnswer: -12*s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbibggbggsrssgs. Give prob of sequence gss.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -287, 0.1, 0.142, 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*i + 93*i + 1397 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 13*u - 144 = -6*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**2 - 4*l**2 + 10 + 3*l**2 + 116*l**3 wrt l?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j, 0*j + 5*j = 4*b - 32. Let m = 5.87 + -9.87. Sort 10, b, m in ascending order.\nAnswer: m, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.13 * -0.5\nAnswer: 1.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 10\nAnswer: 31\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 29 + 1. Let n be 2\/y - 264\/(-56). Factor 45*u**3 - 4*u**2 - 5*u**3 + 24*u**5 + 52*u**n - 117*u**4 + 5*u**5.\nAnswer: u**2*(u - 1)*(9*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**2 - 262*o - 268*o + 530*o - 2 as g*o + f + w*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 13*g - 17. Let h be p(7). Calculate the remainder when 95\/2 + (65\/h - -6) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1433168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385556 is divided by 128279?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 2\/11 (c) 4 (d) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 216, 220, 224, 228, 232?\n\"Answer: 4*v + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -1781, -2669, -3555?\nAnswer: -4439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 809815080*n - 54650038649617200.\nAnswer: -3*(n - 134969180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1626.072272 - -1668.06\nAnswer: 41.987728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 5.9. Let s = 3 - z. Let c = -2.9948 - s. Round c to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 5*f + 11*w - 14*w, 2*w = -5*f - 42. Is -5 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1106 - -1189. What is the remainder when o is divided by 52?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10287273 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, 81, 89, 61, -15, -151, -359, -651?\n\"Answer: -2*z**3 + 46*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/14154 and -9\/49798.\nAnswer: 50345778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 23*y**2. Let k(n) = 3*n. What is k(g(b))?\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 90*c**3 - 1121511*c**2 - 859899*c + 261702 = 0.\nAnswer: -1, 7\/30, 12462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/(-36)*(17\/(-2) + -2). Is (-1*71 + 0)\/(z\/(-420)) a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 7. Let r = f + 5. Let h(v) = 2*v**3 - v**2 - 2. Give h(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 3*p**2 + 3*p. Let m be a(-4). Let s(i) be the second derivative of -i**5\/20 + 5*i**4\/12 - i**3\/6 - i**2 - i. What is s(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111101001?\nAnswer: -111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31425*d + 31420*d - 6*d**2 + 1 - 4*d**4 - 2*d**3 - 9*d**2 to u + a*d**4 + n*d**2 + t*d + p*d**3 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*m**4 - 31*m**3 - 973*m**2 + 72*m + 17638 wrt m?\nAnswer: 480*m**2 - 186*m - 1946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:32 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -165, -331, -497?\n\"Answer: -166*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 2, -8, -36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5588*l + 3134870. Calculate p(-561).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-4) - (-198)\/(30 - -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 8*t + 16. What is b(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 501.29 - -12.71. Let z = -921162339.999791 + 921162854. Let n = l - z. What is n rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4 + sqrt(272) + 0)**2 - sqrt(272)).\nAnswer: -36*sqrt(17) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/276 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732 is divided by 161?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + u = 31 - 12, 4*d = -3*u + 80. Suppose -2*b + 65 + d = 0. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 23*c + 44. What is l(-14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-578)\/(-3179) + (4*(-112)\/44 - -1). Let s(n) = 9*n - 3 + n**2 + n**3 + 14*n**2 - 5*n**2. What is s(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * -501.18861.\nAnswer: 14033.28108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 200. Let i be (c\/(-8))\/(2\/(-2)). Suppose i*g + 5*y = -0*y + 645, -4*g = -3*y - 516. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 18006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 9*z - 14. Let w be n(-4). Suppose w*s - 3108 = 750. What are the prime factors of s?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-5 - 1 - -13) + -2 + -34.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -305*101\/118170 + 4\/18?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6239798545\/2488564 + 700\/47857. Let n = z + -2507. What is the common denominator of n and 46?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, f: 6}. Give prob of sequence fi.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 47.73721 years?\nAnswer: 0.4773721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d - 84. Determine t(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 11423 = -3*n + 1477, -p + 3*n + 2482 = 0. List the prime factors of p.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*q + 24 = 124*q. What is the lowest common multiple of q and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) -0.5 (c) 248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193412?\nAnswer: 2, 48353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxbb when four letters picked without replacement from {d: 2, s: 2, m: 3, b: 2, o: 2, x: 5}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179*v**3 + 32*v**4 - 179*v**3 + (3 - 4 + 0)*(-1 + v + 1)*(4*v**3 - 2*v**3 - 3*v**3).\nAnswer: 33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11254992553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 132142188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:24 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 363 + -347 - (1 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 2135763?\nAnswer: -1\/73647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4427 - -4496. Calculate the highest common factor of 6693 and b.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.08 plus 37194.8?\nAnswer: 37198.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.00663 + 17.00663. What is the nearest to -1 in 4, b, 30, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Suppose -4*w + w - l - 2 = 0, -10 = -w + d*l. Suppose -q - 3 = w, x + 1 - 9 = -4*q. Solve 0 = 3*r - c - 3 + 1, 0 = 4*c + x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 != 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1036*b - 1032*b - 4*s + 96, 5*b - s + 24 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 684\/5 + -127. Find the common denominator of -5\/3 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, -12, 7, -3, -22, -4 in descending order.\nAnswer: 165, 7, -3, -4, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90199 - 61991. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0614? (a) -2 (b) -3 (c) -201 (d) -1\/7 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 12*s**2 - 2*s - 22. Let x be v(-12). Find the second derivative of l**2 + 3*l - 2*l**2 + x*l**2 - 21*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 9*x + 32. Calculate the common denominator of (-61 - x)*1\/(-3) and 115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -7547517?\nAnswer: -1509503.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5811*j**3 + 0 + 11*j + 0 + 5806*j**3 - j**2 in the form o*j**2 + v*j + z + s*j**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.27 (c) -2\/23 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3329, -1, -3, 20 in decreasing order.\nAnswer: 3329, 20, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -3\/2*g**2 + 0*g + 15. Let o(m) = -2*m. What is o(x(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55450 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by 432.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1280 and -71\/2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -1, 0.09084 in increasing order.\nAnswer: -1, 0.09084, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 5*d - 1. Let f be b(6). Suppose f*j + 2424 = 16549. Suppose 1175 = -c - j. What is c rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -17. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/35 - (-46)\/5. Suppose -2*d + z - 3 = 0. What is the first derivative of 5 - r - 3 - 1 + d wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (0 + 0 + sqrt(1573) - sqrt(1573) - sqrt(1573))**2 - sqrt(1573) - sqrt(1573)) + (-4*sqrt(637)*-1 - sqrt(637))**2.\nAnswer: -11*sqrt(13) + 7306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26713123 - 13941525.\nAnswer: 12771598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 23*y - 8. Calculate a(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-160) + 2015\/(-5456). Which is the smallest value? (a) y (b) 3\/5 (c) -118 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-76))\/(-5 - (-38585)\/7720). Is 20 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/3704 - -7349\/218536. Which is greater: -110 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**3 + 3*p**2 + 7*p - 6. Let c(h) = 2*h**3 + h - 2. Calculate -3*c(u) + j(u).\nAnswer: -13*u**3 + 3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -7*z + 102. Suppose -5*s = -16 - 4. Suppose -b + 6 = -s. What is the remainder when z is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**3 - 3*x**2 - 2*x. Let s(l) = -2*l**3 + 27*l**2 + 8*l + 83. Let h be s(14). Give o(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213113133121 + 10?\nAnswer: 213113133131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4163 - -4162.9. What is the second biggest value in f, -3, 2\/5, 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmmmmmmmmmmmma.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -21*b**4\/4 - 135*b - 15. What is the first derivative of n(w) wrt w?\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-5)*(-55)\/22. Suppose 5*p - h + 4 = -10, -2*p + n*h = 20. Which is the third smallest value? (a) p (b) 5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 834755 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1101261, 2202514, 3303767?\n\"Answer: 1101253*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12458?\nAnswer: 2, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -57. Suppose s*g - 2096 - 1024 = 0. Suppose 3*m + n = g, -m - 5*n = -117 - 77. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/((-6)\/(-54)). Suppose d*t = 5 + 55. Let o = 10 - -1. What is the remainder when t is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-766 + 509 - 808 + 3 - 660)*(0*b + 10*b - 5*b).\nAnswer: -8610*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 4 = 0. What is the highest common divisor of 5 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, u: 14, m: 1}. What is prob of sequence uhu?\nAnswer: 91\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -57. Suppose p*z + 35 = 200. Is -14\/5 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 8*f**2 + 7*f - 11. What is the remainder when 53 is divided by d(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 3 + 26\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35784 = -225610*h + 225042*h for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -39. What is the derivative of 50*j + 8 - a*j - 23 wrt j?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.83921 - 0.16079. Which is the nearest to 0.87? (a) -0.1 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u + 5. Let q(d) = d - 1. Let v = -16 - -23. Suppose 0 = v*z - 2*z - 35. Let p be q(z). Calculate s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000674339268 to 7 dps.\nAnswer: 0.0006743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.283754ml in litres?\nAnswer: 0.000283754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(3 - 3 - m**3) + 2 - 8*m**3 - 2 + (2*m**2 - 4*m**2 + 3*m**2)*(-2*m - 3*m + 3*m) + (1 - 2*m**2 - 1)*(5 - 3*m - 5).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3278863 + -21779.\nAnswer: -3300642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 53906260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbo when three letters picked without replacement from oubobowozozuoozzoz?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**6\/30 + z**5\/5 - z**4\/2 - 2*z**3\/3 + 5*z**2\/2 + 8*z + 62. Let u(g) be the first derivative of f(g). Factor u(x).\nAnswer: (x - 1)**2*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*d = 1, 5*k + 3*d - 11 + 4 = 0. Suppose -3*v + l + 73 = 0, 0 = -k*l + l + 2. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*(1626 - -4)*(-15)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**8\/336 + t**7\/30 - 17*t**6\/120 + 17*t**5\/60 - t**4\/4 - 67*t**2. Find o such that r(o) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238565.\nAnswer: 3, 5, 82571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032 (base 7) to base 15.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f + 54. Let y be z(14). Let r be (24 - 27)*y\/6. Solve -r = -2*a - 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602261381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -206\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 20. Let q be m(-6). Is q at most as big as 27\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -21\/4*q - 3 - 3\/8*q**3 - 21\/8*q**2 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00615 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -7.3. Let s = -204 - -1635\/8. Which is the third biggest value? (a) h (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 136?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -569.041 + 569. What is p rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.81 + 2.81. Let s be (-3)\/9 - (-4)\/(-6). Which is the nearest to -6? (a) s (b) n (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3599728146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1942 and -0.6?\nAnswer: -1165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185534 is divided by 10913.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**3 - c**2 + 2*c - 1. Let o be u(1). Suppose 87 = o*j + 357. Let r = -27 - j. Calculate the remainder when r is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-10694812.\nAnswer: 139032556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 682931\nAnswer: -6\/682931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1\/((-12)\/(-18))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 9. Suppose -j*v - 2*v = 3*q - 334, -4*v + 280 = -4*q. What is the smallest common multiple of v and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfnllsn. Give prob of sequence sll.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 40, -2*z + 5*u = 283 - 325. Calculate the highest common factor of z and 3046.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 7:48 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (1 + (-19)\/(-17)). Let f = -17 - -17. Put r, 3, f in decreasing order.\nAnswer: 3, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2464\/2063 - 6630803\/5446320. Find the common denominator of b and -103\/2640.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/9)\/(8\/36). Suppose -2*u + 1711 = 3*f, -f = -w*u + u + 4303. What is u rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j\/((j**(-2\/9)\/j)\/j))\/j*j)\/j*j)**40)**13\/((j\/j**(-4\/7)*j*j**(-7\/2)*j)\/(j**(2\/13)*j**(-2)*j)) assuming j is positive.\nAnswer: j**(4446577\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -315, -554?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4350 is divided by 435.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:17 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 21 = 3*s - 3, -3*y + 4*s = -46. Suppose -3*o = 6 - y. Suppose -c - 20 = o*c. Do 2\/5 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4702 * 0.55.\nAnswer: -2586.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 2*i + 1. Let u be x(-2). Let v = u - -8. Put v, -2, 4 in ascending order.\nAnswer: v, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 644 = 4550. Calculate the least common multiple of 186 and j.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073530271?\nAnswer: 11, 1229, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 6*o + 1. What is the units digit of k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-108)\/2*99\/(-27). Suppose 0*v + 4*v = 0. Suppose 4*r = -v*r + 72. What is the highest common divisor of f and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -42, -3 in descending order.\nAnswer: -3, -42, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:33 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-693)\/36)\/(1561\/892)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 5, -2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 10*r + 88. Which is smaller: 45 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 0. Let g = -6.9 + d. Which is greater: g or -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/18*(10 + -7 + -1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -430 - -11?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.753 and -1750.\nAnswer: -1764.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let h(o) = 1. Let n(f) = -f**2 + f - 2. Calculate q*n(x) - 3*h(x).\nAnswer: 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/95 + -3742\/2945. Which is the third biggest value? (a) -2\/9 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(245)*1*5)**2 + 6*(sqrt(245) - sqrt(245)*-1)**2)*3.\nAnswer: 72030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(-5)\/25*-4. Suppose 0 = -5*r - 3 + l. What is the units digit of (-5)\/(-10)*(1 + 222 - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 8*p**3\/3 + 17*p**2\/2 + 17*p + 13. Let g(y) be the first derivative of y**3\/3 + y**2 + 2*y - 2292. Give 51*g(c) - 6*z(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3 - (3 - 0)) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21574449?\nAnswer: 3, 13, 97, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117 * -0.2.\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 7*t + t + t. Let l(j) = 63*j**2 + 33*j - 132. Let h(i) = 4*i**2 + 2*i - 8. Let f(g) = 33*h(g) - 2*l(g). What is f(y(p))?\nAnswer: 294*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2071104 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 963065 to the power of 1\/2, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10443*m = 234*m + 79475 + 31954 + 113169 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-14 + 11 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1208, -2651, -24 in decreasing order.\nAnswer: 1208, -24, -2651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - -41 - (-121 + 162)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + (5 - 13 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 341533284 to the nearest 10000.\nAnswer: 341530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -28, -36, -40, -40, -36, -28?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20802 - 42268 + 20982 - 9*f**2)*(f + 0 + 0)*(-4 + 1 + 1) to the form q*f**2 + u + l*f + i*f**3 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 41 = 5*n. Let p = 14 - -42. Calculate the highest common factor of n and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 946, 938, 916, 874, 806, 706, 568?\n\"Answer: -f**3 - f**2 + 2*f + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 84*f**2 + 70*f. Let o(k) = -17*k**2 - 15*k. Let b(p) = 3*i(p) + 14*o(p). Let h(m) = 13*m**2. Calculate h(b(a)).\nAnswer: 2548*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14865*z - 1204066. Give h(81).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -12)*(-462)\/(-105). Let q = 204 - 28. Suppose 0 = -a + q. What is the greatest common factor of g and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -4*j + 8, 0 = 2*c + 4*j - 10. Solve c*i + a - 1 + 11 = 0, 5*i + 22 = a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.04, -0.2, 16\/13, 170, 4 in descending order.\nAnswer: 170, 4, 16\/13, 0.04, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 1, q: 4, v: 1, s: 5}. What is prob of sequence hsv?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1018, 2026, 3032, 4036, 5038, 6038, 7036?\n\"Answer: -z**2 + 1011*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 12. Let a be k(5). Let u(t) = -t**3 + 2*t**2 + 4*t - 1. Let b be u(a). Solve -2*x - r = -4 - b, 3*r = -4*x + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11\/(q\/(q\/q**15))*q*q*q**(-7)*q*q*q**23 assuming q is positive.\nAnswer: q**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 - 4 - 40 - (-8 + 14 + 5 + 2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399577 - 87*m**3 + 84*m**3 + 399692.\nAnswer: -3*m**3 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 30) + (19 - 9) + 34 + -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1927470 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 103*a + 2990. Determine k(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 18*y**3 - 4*y**3)*(0*y**2 - 2*y**2 + 0*y**2).\nAnswer: 44*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 928 - 2*a**2 - 7*a**3 + 6*a**3.\nAnswer: -3*a**3 - 2*a**2 - 928","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 3 + 0)*(-4 + 2 + 3)*(17*j - 168 + 168) to l + c*j and give c.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 + 14 = 0. Suppose 0 = -i*h - h + 3. Is (2\/h)\/(4\/46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100100010000110011 (base 2) to base 16.\nAnswer: -a4433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 73.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*n + 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - x**2 + x + 423. Calculate h(0).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(-24)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 + 7 = 0. Suppose -h + 155 = 2*g, 0*h + 775 = 5*h - 3*g. Suppose -107 + h = 6*k. What is the smallest common multiple of k and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, 2166, -4\/7, -0.3, 0, 27 in increasing order.\nAnswer: -4\/7, -0.3, 0, 0.33, 27, 2166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*w + 96. What is the highest common factor of w and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:10 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -20550?\nAnswer: -20550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3246 to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a**3*v**2 + a**3 + 4*a**2*v**2 - 2437 wrt v?\nAnswer: -18*a**3*v + 8*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-137)\/(-411))\/((-1)\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4.3, 1\/2, 2\/5, -61, -3\/8, 1?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/(-10)*(-27)\/(-90)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 3*z**2 - 7*z + 6. Let w(y) = y**3 - 2*y**2 - 6*y + 5. Determine 2*u(a) - 3*w(a).\nAnswer: a**3 + 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/((c*c*c*c**(1\/4)\/c)\/c))*c)*c**(1\/23))\/(((c\/((c*c*c**(-3\/7))\/c))\/c)\/c**(-3\/2)) assuming c is positive.\nAnswer: c**(-1375\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4413 and 406622646.\nAnswer: 4413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l + 15. Let u be q(7). Let f be (-35 - -32)*(1 - u\/3). Suppose -3*y - 3*c + 57 = 0, 3*c = 2 + 4. Calculate the greatest common factor of y and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*n + 3*g**3 - 28*g**2 + 11*g*n - 3*g wrt n.\nAnswer: 2*g**3 + 11*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (497 - 4) + (-6)\/3. Suppose 1129 + w = 9*s. Is 36 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2225 is divided by 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2104 (base 5) to base 15.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10692660 divided by 162010\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1535 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102? (a) 3\/17 (b) 0.3 (c) 14 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811232.1ng to tonnes.\nAnswer: 0.0000000008112321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 8*a = 2*u - 26, -3*u + a + 29 = 0. Suppose u*g - 18*g + 1701 = 0. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -47*d**3\/2 + 245*d**2\/2 + 63*d + 216. Let j(r) be the first derivative of p(r). Find the first derivative of j(f) wrt f.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let q = -12.38 - -22.38. Let u = 4.05 + -2.05. Which is the nearest to u? (a) q (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4)\/(-10))\/(-2 + (-1505)\/(-750)) and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = 17*d. Solve 3*x + x + 12 = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5\/2 - 497*z**4\/4 - 1107*z**3\/2 + 3773*z**2\/4 + 555*z - 819 = 0 for z.\nAnswer: -78, -6, -1, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 16) to base 8\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 14*w**2 + 189*w + 26. What is the lowest common multiple of 546 and u(22)?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -1\/3, 2130?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11ad2a (base 15) to base 7\nAnswer: -10124362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 + c + 3. Let o be x(2). Let q = 6 - o. Solve -t - 2 = -q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 78. Let l = 22 + v. Calculate the least common multiple of 1 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9601543*b**2 + b + 7650869.\nAnswer: 19203086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -236 - 2b?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 - 7\/(28\/(-8)) and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 15*o**2 + 11*o - 1. What is z(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12138617 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58240, 232969, 524184, 931885?\nAnswer: 1456072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4176*r - 16*r**2 - 4186*r + 8362*r.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*q + 291 - 67. Factor -1138*n**3 - 30*n**2 - 33*n**4 + 1073*n**3 + q*n**4.\nAnswer: -5*n**2*(n + 2)*(5*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37717, 149756, 336481, 597886, 933965, 1344712, 1830121?\n\"Answer: -s**3 + 37349*s**2 - s + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/3 + 712*n**2\/3 - 626*n\/3 - 9940 = 0 for n.\nAnswer: -6, 7, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 315 - 223. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*(-110)\/22\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 6, -46 in ascending order.\nAnswer: -46, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110778325 is divided by 2644?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/4 + 7799227*h**3\/4 - 3*h**2\/4 - 23397679*h\/4 + 7799227\/2 = 0.\nAnswer: -7799227, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/638 and 91\/232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/6, -39, 0.3, -0.8 in decreasing order.\nAnswer: 35\/6, 0.3, -0.8, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**9\/3780 - j**7\/1050 + 5*j**3\/6 - 4*j. Let t(l) be the second derivative of f(l). Solve t(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/20720 and -33\/131831?\nAnswer: 10546480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5 = 5*c + 16, 6 = -3*c + w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -363, 3, 43, -4, 2 in ascending order.\nAnswer: -363, -4, 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Let u(l) be the second derivative of -3*l + 1\/3*l**3 + 0 + 3*l**2. Determine u(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -40, 47, -3, 3, 0.\nAnswer: -40, -4, -3, 0, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-2\/15)\/o*o)*o\/(o\/(o\/(o*(o*o**(-8))\/o)*o))*o**6\/(o\/((o**(-5\/2)*o)\/o)*o) assuming o is positive.\nAnswer: o**(349\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f - 1. Let w be l(1). Let z = w - 9. Find the second derivative of 4*d**z - 2*d**4 - d - d**4 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 419 and -0.0436815.\nAnswer: 418.9563185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29874493*b**3 - b**2 + 14*b + 1914426 wrt b?\nAnswer: 179246958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + l - 3*l + 0*l. Let w be z(-3). Suppose -w*g + 13*g + 49 = 0. Round g to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (184\/138)\/((-5)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31290 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 460 - 256. Suppose 0 = 5*t + 3*h - 186, 5*t - r = 3*h - 0*h. What is the greatest common divisor of 65 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-38)*k)**(2\/175)\/(k**(-14\/3))**(-12\/7) assuming k is positive.\nAnswer: k**(-1474\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 + 2*b**5 - 3*b**5 + (-5*b + 5*b - b)*(-2*b**4 + 4*b**2 - 4*b**2).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/11))\/(g**(2\/41)*g)*(g**(-5)*g)**(-9\/2) assuming g is positive.\nAnswer: g**(8055\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40714, -162467, -365274, -649129, -1014026, -1459959, -1986922, -2594909?\nAnswer: -3283914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 divide 2134516825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/(-3)*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 3}. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 42. Let b(g) = 2*g + 39046. Give b(z(o)).\nAnswer: 2*o**2 + 39130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27390 + -931189\/34. Calculate the common denominator of -1\/20 and z.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*s - 4605, 4*f + 3736 + 834 = -2*s. Let v = 180 - f. List the prime factors of v.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.231454l to millilitres.\nAnswer: 1231.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -84 (b) -3 (c) 5 (d) -0.4 (e) -10\/41 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 332?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:46 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/1176 - 172\/(-42). What is the second biggest value in 78, 3, 1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 36 = 2*n - 10, -v - 4*n = 7. Solve -3*s + v*s = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/1960850?\nAnswer: 3\/1960850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 3*j + 2*j)*(91048 - 24*j**2 - 91048) to the form m + u*j + r*j**3 + z*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 + 13 = 0, 2*c - 2*j = 18. Let o(s) = 1 + 5*s + 3*s - c*s + 5*s. What is o(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 9*b = -20. Suppose -40*v + 38*v = -b. List the prime factors of 233\/v + (-21)\/35.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35720 is divided by 4424.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -449*w**2 + 6450 + 4*w - 3230 - 3215 - w**2 - 4 + 4 - w - w**2 + w + (-3*w - w + 2*w)*(-w + 0*w - w) to the form o*w**2 + n*w + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/382 and -157\/45840.\nAnswer: 45840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226 and 5515869.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -a6e (base 16) to base 2\nAnswer: -101001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*d = 4*h - 256, -3*h + 30 + 23 - 8 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 36 - 23 - (-2 - (2 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-3)*(-6)\/(-4). Suppose 0 = x + x - f - 11, d*x + f = 17. Suppose -x*h = -t + 7, h = -0*h. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/(-1 + (-42)\/(-39)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 2*m, 20 = 5*f - m - 4. Suppose -f*l = -0*q - 2*q + 26, -2*l = -3*q + 28. What are the prime factors of 178\/8 - q\/32?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -6*i - 0*i + 85, -370*x + 373*x + 33*i + 55 - 4 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/4 + 190\/76)*-2. Let z(s) = -s**2 + 9*s + 10. Let w be z(9). Suppose w = 2*q, -2*v = v - 2*q - 2. Solve -f = v*d - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - y - 4)*(-561 + 561 + 28*y) + 487*y**2 + 486*y**2 - 975*y**2 + 20 + 2*y.\nAnswer: -30*y**2 + 2*y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:25 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/12 + 5*l**3\/6 - 5*l**2. What is the first derivative of q(b) wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364*q + 31 = -1363*q + 2*z, -3*q + 3*z + 19 + 66 = 7*z for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19694, -78785, -177278, -315179, -492494, -709229, -965390?\n\"Answer: -w**3 - 19695*w**2 + w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 2, 1 in decreasing order.\nAnswer: 2, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 1. Let z(q) = -87*q - 174. Give -174*l(f) - z(f).\nAnswer: -87*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 401?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599 divided by 83712?\nAnswer: 533\/27904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -471.0931 + 469.16. What is a rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003397 to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let g(i) = -i. Let w(c) = 3*g(c) - x(c). Suppose h + 7 = -4*s, 2*s = -h - 1 - 0. Give w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3141*m - 1049126. Determine f(334).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 + 194\/6. Suppose -4*o + 36 = -p. Let m = 31 - o. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 131.66865 and -0.5.\nAnswer: 131.16865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -2 + -6 - 20\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Let g = 0.13 + -0.33. What is the closest to -2 in m, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19499 is divided by 346?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 2*q - 2. Let j(a) = -a**2 + 15*a + 19. Let c be j(16). Let i(l) = 3 - c*l**2 - 4 - 1 - 2 + 5*l. What is 7*g(b) - 3*i(b)?\nAnswer: 2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 71. Suppose j*d - 6*b - 308 = -4*b, 0 = b + 2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -6 + 14. Suppose 4*q - 3*r = 24, 0*q - 3*r - 18 = -k*q. What is the hundreds digit of (-1045)\/(-7) - q*(-12)\/(-126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*q - 20, -2*h + 3 = q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 678 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185589 and 27.\nAnswer: 556767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 26*x + 124 = 0. Let d(y) = -2*y**2 - 5*y - 10. Let k be d(-4). Let g = k + x. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*u = 124, -g - 3*u = 14 - 70. What is the remainder when g is divided by (-3906)\/(-168) - 6\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 39. Calculate the highest common divisor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120228.\nAnswer: 2, 3, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-10) - (-7)\/(-35). Suppose -5 - 3 = -2*q - 4*r, m*r = 0. Suppose -6*n = -4*n - q. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 936, 961, 986, 1011?\n\"Answer: 25*z + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*p**4\/6 + 17*p**3\/2 + 13*p**2\/2 + p\/6 - 1.\nAnswer: (p + 1)**3*(19*p - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3654 - -6280. Let i = m - 52441\/20. Calculate the common denominator of 37\/28 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2861 + 2931 - (-2 - -50)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 8)*2 + 3\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*d + 17 - 17 - 45*d.\nAnswer: 83*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -52593546 divided by -51?\nAnswer: 1031246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noro. Give prob of sequence on.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 209431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2507000 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36435*c - 10 = 36437*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/390*(-3000)\/275.\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167\/323 - 7\/17. Suppose 80 = o + 4*o. Let z be 57\/72 + (-2)\/o. What is the biggest value in -0.5, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -12*q + 8. Is 10 a factor of q\/(-4) + (-388)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.9085 + 12773.2085. What is o rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 16. Suppose -5 = -2*c + 5*n, -154*c - 4*n = -152*c - 14. Let k(d) = -3*d - 1 - 6 - 8. Let t(l) = c*k(l) - 4*f(l). What is t(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14823 * 0.01\nAnswer: -148.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-159)\/(-9)*3. Let p = 91 + h. Let y be ((-1)\/(-4))\/(2\/p). Sort y, 4, -3 in decreasing order.\nAnswer: y, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/4 + 117*c**3\/4 + 222*c**2 - 42439*c = 0.\nAnswer: -74, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12330 - -12339. What is the nearest to -1\/2 in -0.2, -1, -4\/9, a?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266770 divided by -721?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 26, 52, 98, 170, 274?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5266 * 3.2.\nAnswer: 16851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i - 2. Let u(r) = -11*r**2 + r + 3. Determine -3*c(w) - 3*u(w).\nAnswer: 30*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 132 = 2*n + 5*o, o - 2 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26064 + 0.377?\nAnswer: 26064.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85046751 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(148\/8 - 19)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5788 - 11638 - 18*d + 5850 + 12*d + 12*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*b - 39*b + b**2 + 39*b + b - b**5 + 48*b**3 wrt b.\nAnswer: -60*b**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -122434*l**2\/3 + 2876*l\/3 - 16\/3.\nAnswer: -2*(221*l - 2)*(277*l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/735*-49)\/((-3)\/(-3)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.146003 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 11*x**2 + 7*x - 3. Let v be n(-11). Let m = v + 76. Is 1 + -133*m\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*n = 8 - 53, -32*a + 72 = -2*a - 2*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(14)\/sqrt(63).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 162, -3, -6\/13?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 122937 + 150259 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(190)*-6 - sqrt(190))*1)\/(sqrt(30)\/(sqrt(108) - (sqrt(108) - (sqrt(108) - sqrt(108)*-2)))).\nAnswer: -342*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4458 - -4462. Is 96.1 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**6\/120 - p**5\/10 + p**4\/24 + p**3\/6 + 2*p**2. Suppose 2*o - 24 = -2*o. What is the units digit of s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Suppose 36 = 4*j + x, 4*j + 2*x - 36 = -0*j. Let c = j + u. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/7, 0.11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4246*-4\nAnswer: 16984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23899?\nAnswer: 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2275302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**3*z**3 - 324*k**3*z**2 + 3*k**3 + 600785*k**2*z**4 + 4*k**2*z**2 - k**2 - 26*k*z wrt z?\nAnswer: -42*k**3 + 14418840*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29762620 is divided by 162.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) 15 (c) 4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145 - -6380?\nAnswer: 6535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.48 - -27.98. Which is the closest to 0.1? (a) 5.5 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-12 + -4)) + (-2 - (1 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/4 and -67\/1212.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153, 155, 157, 159, 161, 163?\n\"Answer: 2*m + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 18*b + 17. Let d be m(-17). What is the derivative of 77*f**3 + 499 - d + 103*f**3 wrt f?\nAnswer: 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**4*x + 9*o**4 - 2*o**3*x + 2*o**2*x - 290*o**2 - 5*x wrt o?\nAnswer: -144*o*x + 216*o - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3 and 1610\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**5\/8 - 125*l**4\/8 - 3125*l**3\/4 - 78125*l**2\/4 - 67*l. Solve g(f) = 0 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 903196*j**2 + 7225641*j - 8128836.\nAnswer: -(j - 903204)*(j - 1)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 1824 = -3870 + 1908 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -778128 by -9976.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - -30. Suppose 13 = -r + 17. Suppose -i = -r*h - 61, -i - 2*i + x = h. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 586 times 0.2124\nAnswer: 124.4664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14873989 divided by 1144153?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-5)\/(-2)) - -3. Let m(c) = 8 + 6 - 12 - c - 1. Let f(q) = -q**2 + 12*q - 6. Let y(s) = v*f(s) + 3*m(s). Give y(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.01 and 100.\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10460 - 9880. What is the highest common divisor of z and 464?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130 < 1129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 4, m: 1, l: 6}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 + 184390*s\/9 + 737528\/9.\nAnswer: 2*(s + 4)*(s + 92191)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -60*x**2 + 39. Let p(l) = 17*l**2 - 11. Let t(s) = 5*c(s) + 18*p(s). What is the derivative of t(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 554202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1875627 and 9.\nAnswer: 1875627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311.7 - 164. Round v to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106*b**3*t - 11*b**2*t + 3*t + 9919 wrt b.\nAnswer: 318*b**2*t - 22*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:20 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6597*h**2 + 67*h - 20. Let b be w(29). Let s be b - -1*0*(4 + -3). Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**2*x**4 + 11*j**2*x**2 + j**2*x + 18*x**5 - 2*x**4 + 4*x wrt x.\nAnswer: 168*j**2*x + 1080*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 - 522*y - 539. Determine f(88).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*z + 4 = 0, 0*m - 4 = m + 4*z. Let v be 1*(-1 + 0 + 8). What is the units digit of m + 2 + (v - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -335*r**2*t*u**3 - 7*r**2*t - 2*r*t*u + 7*t*u**3 - 3*t*u**2 + 90*t*u + 1 wrt r.\nAnswer: -670*r*t*u**3 - 14*r*t - 2*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:39 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1331) + -1 - sqrt(1331) - 2*(-1 + sqrt(1331))) + 1)**2.\nAnswer: 88*sqrt(11) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -73*x. Let c(g) = -g**2 - 2*g + 1. Let f be c(-4). Is l(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 79.16089 minutes?\nAnswer: 4749653400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 10 + 109*i + 75*i in the form z + f*i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - a + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/56*-1 - 2\/14. Solve 4*y - p + 5 = m, 4*p = -5*y + p + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1666*u + 90 = -1671*u - 130 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 4*j**2 - 52*j - 194. Let v be l(-7). Solve x = 21*w - v*w - 4, 0 = -5*x + 3*w + 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -106*v**2. Let l(c) = -4*c**2 - 7592 - 7592 - 7588 + 22772. Determine l(d(n)).\nAnswer: -44944*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-25))\/h*h)\/h*h**(-5\/6) assuming h is positive.\nAnswer: h**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(56)\/sqrt(72).\nAnswer: -2 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18880*i**3 + 7818*i**3 + 11059*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 1, d: 3, m: 7}. What is prob of picking 1 j and 2 m?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3221104012 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*y - 9, -2*y = -5*q + 2*y + 12. Let w be (q + 1)\/(1\/(-4)). Let b be 1\/w + (-20)\/(-16). Solve -p - 5*m + 2 = 0, -4*p + b - 8 = 5*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u + k = -133, 2*u - 131 = 3*k. Let m = -65 + u. Suppose 47 = j - 40. Calculate the least common multiple of m and j.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 3*z**7\/280 + z**6\/240 + 17*z**2. Factor w(v).\nAnswer: v**3*(9*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*a - 9*a - 8, 2*f + 3*a + 5 = 0. Suppose -4*d = g - 17, -g + 5*g = d. Sort d, f, -20 in descending order.\nAnswer: d, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 take away 925?\nAnswer: -1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3663 or -3732?\nAnswer: -3663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/11 in 1\/5, -4, -1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16585 - 4148*m + 16585)*(-13 - 5*m + 13).\nAnswer: 20740*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 0 - (7 + -15). Suppose -4*t + 5*t = -x. Let v be (-2)\/6*(t - 3). Which is bigger: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 - 2*c**2)*(-5*c**2 + 7*c**2 - 13*c**2).\nAnswer: -22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 37099*y - 95. Suppose 7*a + 29 = 64. Let l be h(a). Round l to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, n: 5, g: 4}. What is prob of sequence nnn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 31 = 5*q, -12 = 5*q + 4*x - 29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4210)\/(-30) - (-1)\/(-3*1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20613*-3.486.\nAnswer: 71856.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -75633 + 5?\nAnswer: -75629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 687.658 and -420?\nAnswer: 1107.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -19471?\nAnswer: 1946b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/30)\/((72\/153)\/4 - (-1008)\/(-5967))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + y**2 - 1. Let j(x) = -35 + 5*x**2 - 68*x**3 - 11*x**3 + 8*x**3. Let u(g) = -5*h(g) + j(g). Differentiate u(b) wrt b.\nAnswer: -183*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 20 = t. Suppose -5*s + t = -j - 3*s, -3*s = -9. Suppose 0 = -4*x - 5*o + 172, -j*o = -x + 28 + 2. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 269\/3. What is the nearest to x in 1, 26, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 819*a + 10309. What is f(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - y**2 + 42 - 73 + 31.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. What is the smallest value in -1\/7, w, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-63)\/(-1134))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**4 + x**4 - 2*x**4)*(-15 + 19 + 91) - 4*x**4 + 6*x**4 - 4*x**4 to the form s*x**3 + d*x**4 + g*x**2 + w*x + q and give d.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feqf when four letters picked without replacement from {p: 6, q: 2, f: 2, e: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*o - 132*o**2 - 788*o.\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**3 + 2 - 4*r**3 - 12*r**4 + 0 - 29*r**2 wrt r.\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 2*d + 3. Let n be p(-3). Let m be 3\/(2 + -1 + n). Calculate the greatest common divisor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 8) + 9\/3. Let c be (4\/(-40))\/(v\/(-30)). Is -2 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 132352?\nAnswer: 132352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 3. Let u be q(-5). Let a be 9*(12\/9 + -1). Factor -2*l**3 - l**4 + 7*l**3 + 1 - u*l**3 + 2*l - 5*l**a.\nAnswer: -(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -143. Let h = x + -56. Let d = h + -4. Put -1\/8, d, 2\/7 in descending order.\nAnswer: 2\/7, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/1527 and -23\/28.\nAnswer: 42756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8479\/4 + 2121. What is the third biggest value in -98, o, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-3))\/(2\/(-3)). Let p(j) = -v - 4*j - j + 1. Let a(w) = -4*w - 3. Let f(u) = -u + 3. Let x be f(-3). Determine x*a(h) - 5*p(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49284.8 and -1?\nAnswer: -49284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8a6c (base 14) to base 8\nAnswer: 56710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29231 + 29227 - 58459 + 952*b**2.\nAnswer: 952*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/9*1*3. Let o(z) = -z - 2. Let j(i) = 8*i. Let p(m) = -j(m) - o(m). Let v(g) = 4*g - 1. Give d*v(u) - 6*p(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -9687, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22879 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*k - 12 = -5*k, -2*g + 5*k - 31 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (63\/(-27) + 6)\/((-2)\/(-6)). Suppose 19*q + r*q - 27510 = 0. Calculate the highest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g - 11. Let a(i) = i - 1. Let x(v) = 22*a(v) - 2*k(v). Let m(o) = -8*o**2. Calculate x(m(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -656323747.36602?\nAnswer: 656323747.66602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgzzzglgzzzgzz. What is prob of picking 1 z and 2 g?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3714*l - 545159 + 144047 for l.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -0.2 (c) -1 (d) 3\/88 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 + 6*t + 3. Does 15 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -65180*k + 80. Let o be q(6). What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 6*d + 21. Let v = 27 + -53\/2. Which is the nearest to v? (a) 2 (b) -4\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*w + 3, -15*a - 67*w + 4*w = 16*a - 30*a + 62 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 + 1201\/7. What is the nearest to l in 0.5, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 + 18595072*b - 37190136 = 0. Calculate b.\nAnswer: 2, 9297534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 180, -0.6, 365\/9, 2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1408 and 4752.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62\/7, -3, 1, 0, -0.1 in decreasing order.\nAnswer: 62\/7, 1, 0, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w + 3. Let k(p) = -30 - 38 - 3*p - 34 + 147 - 46. Determine -21*k(u) - 6*s(u).\nAnswer: 15*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 - z**2 - 1 + 2*z - 4*z)*(65*z + 17 - 40 + 30) in the form q*z**2 + b*z + d + i*z**3 and give b.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7175\/1074 or 6?\nAnswer: 7175\/1074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**5\/60 - x**4\/3 - x**3\/6 + x**2\/2 + 1. Let n(o) be the second derivative of g(o). List the prime factors of n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3252 and 28904?\nAnswer: 23498952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -224768.63.\nAnswer: 449537.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*j + 21485 - 172671. What are the prime factors of j?\nAnswer: 2, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178465963\/396 - -450672. Calculate the common denominator of -65\/144 and a.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33\/2 + -63\/4. Let m = -48 - -52. What is the third smallest value in 2\/17, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, -398, -2522, -6660, -13490, -23690?\nAnswer: -37938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 4*d + 0*d - 10 + 4*d. Let p(w) = -w**3 - 45*w**2 - 85*w - 5. Let c be p(-2). Give k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 69*h = 50240. List the prime factors of h.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*c - 13413, -10793 = -4*o - 5*c + 7088. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(2\/13)*(s*s**(1\/8))\/(s*s**(-1\/5)*s)*s**2\/s*s*s\/(s**(-5)*s)*((s\/(s\/(s**(-2\/7)*s*s)))\/s)\/s*(s*s**4)\/s assuming s is positive.\nAnswer: s**(36683\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 40173?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20649568*o**3*q**2 - 3*o**3*q*v - o**3*q + 2*o**2*q**2 + 10*o**2*q + 4*o**2*v + 480*o*q**2 + 3*v wrt o.\nAnswer: -123897408*q**2 - 18*q*v - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1881 and 7416.\nAnswer: 1549944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - n)*(2 - 2 + 3*n) - n**2 - 3*n**2 + 2*n**2)*((-1 + 14 - 6)*(-1 + 5 + 2) + 1 - 2 - 1 + (2 + 4 - 4)*(0 + 0 + 2) - 2 + 3 + 0).\nAnswer: -225*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-10)\/(-1)*40\/(-400))*3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*t - 12, 32 - 23 = 5*t - 2*l. Solve -2*s = t + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406.79 - -407. What is the nearest to 0 in x, -0.2, -2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/3)\/(2\/(-6)). Let b = 4 - 1. Find the third derivative of 7*z**5 - 2*z**2 + b*z**2 - 11*z**y wrt z.\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) -1330 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3 - 7166*a**2 + 1054?\nAnswer: 6*a**2 - 14332*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 70912 - h**2 - 2*h**4 - 70931 - h**3 - h - 3*h**4 as m*h**4 + d*h**2 + g*h + j*h**3 + w and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 274453312 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 2*q - 4*q + (0*q - 2*q + 15*q)*(-1 - 1 + 3).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and -6452194083.\nAnswer: -6452194095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:07 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, y: 1, k: 1, l: 2}. Give prob of picking 1 y and 1 l.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 7:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62642 divided by 2.\nAnswer: -31321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2617859981.\nAnswer: 11, 1153, 206407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-5\/6)*o)\/(o\/(o**(-26)\/o)))\/((o\/(o**44\/o))\/(o*o\/o**40)) assuming o is positive.\nAnswer: o**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b. Suppose -4 = -4*h, -3*r + b*r + 3*h = -2924997. Let g be 20\/(3\/r*-1). What is g rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, n: 4, u: 6, r: 4, v: 1, b: 1}. What is prob of sequence nqr?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(14\/(-8)*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3.6. Let x = 5.0439 + -0.0439. What is the nearest to 0 in i, 1, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 7}. What is prob of sequence mmm?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 27755549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309654 is divided by 156?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24922192*o**3 + 29449753*o.\nAnswer: 149533152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 8172?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + b - 43*b**3 + b.\nAnswer: -43*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127684998 by -14462.\nAnswer: -8829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 26*a**4 + 151*a**3 + 109*a**2 + 26*a + 3. Let u(v) = 2*v**4 - 2*v**3 + v. Let p(k) = m(k) + 5*u(k). Factor p(x).\nAnswer: (x + 3)*(3*x + 1)**2*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 - 2. Let c be (22\/(-6))\/((-2)\/(-6)). Let j(o) = 21*o**2 + 11. Let z(q) = c*n(q) - 2*j(q). Let v(r) = r**2 + 5*r**2 - 5*r**2. What is v(z(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 f when four letters picked without replacement from {u: 3, f: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o - 3*o + 0*o - 9*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/(9\/((-315)\/14))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 654 + -414. Suppose 9*k - 3*k = h. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -635 + -0.1.\nAnswer: -635.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -153, -226, -295?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-21)\/(-9))\/(14\/21))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + 1 + sqrt(1008) + sqrt(1008) + sqrt(1008) + sqrt(1008) + sqrt(1008))**2.\nAnswer: 600*sqrt(7) + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbwg when four letters picked without replacement from {g: 2, b: 3, p: 5, a: 2, e: 6, w: 1}.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25474.\nAnswer: 2, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 - -2.3. Let d be (-2774)\/(-8360) - (-2)\/(-11). Are g and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + -5 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10 - (5 - 1330\/225)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4876, 9754, 14630, 19504, 24376, 29246?\n\"Answer: -x**2 + 4881*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38557309 and 387.022.\nAnswer: -38556921.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 26*y - 48. Let v be p(-24). Suppose 270 = t - v*t. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*n = 2, -3 = -n - 6. What is the third derivative of l**5 - 3*l**4 + 3*l**4 - 177*l**2 + 180*l**m + 12*l - 34*l**6 wrt l?\nAnswer: -4080*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581232611.\nAnswer: 581232611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 9008.\nAnswer: 27024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -3*d - d. Suppose 22*c = 24*c - d. Let l = c - 5. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2990*s - 2996*s = -1370010. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 12:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/3 + 5*x**3 - 1280*x + 11. Let i(d) be the third derivative of -d**4\/12 + d**2. Determine i(g(j)).\nAnswer: 8*j**2 - 60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314 - -554. Let a(i) = i**3 + 34*i**2 - 153*i - 34. Let j be a(-38). What is the highest common divisor of u and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.71 and -0.1.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(88)*-1)\/sqrt(8))**2 - (sqrt(110) - 3*sqrt(110)*-5)\/sqrt(10).\nAnswer: -16*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*h - 3*x, 0 = 3*h - 4*x - 37. Suppose h = 4*r - 9. Suppose 4*f - 598 = -2*i, 3*i + 2*f + 287 = r*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7643*y**2 - 64*y + 82. Is x(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q + 50. Let n be l(2). Suppose -k - i + 26 = i, -k + 2*i = -22. What is the greatest common factor of n and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14605122 and -14605120 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.9675164 to two decimal places.\nAnswer: -52.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(17) + 2 + sqrt(153)\/(sqrt(9)*1) + sqrt(17).\nAnswer: 2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 753997131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 9. Let o be (-3)\/(-18)*4*3. Let j(b) = 2*b**o - b**3 + 2*b + 2 - b**3 - 4*b**2. Calculate j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**3 - l**2. Let b(x) be the second derivative of x**5\/20 + 3*x. What is -6*b(u) + n(u)?\nAnswer: 3*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 15*d = 495, 6*o + 33 = 10*o + d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*c**2 - 23*c**2 - 2*c**2)*((3*c + 3*c - 4*c)*(0 + 2 - 4) - 307*c - 281*c - 40*c + 16*c).\nAnswer: 43736*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142 - 142 - 4*y + (6 - 2 - 2)*(-y - 2*y + 4*y) - 2 + 2 - y - 138 + 138 - y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 - 2*o - 1. Suppose -5*p - 4 - 1 = 5*w, -3*p + 1 = -w. Let c be f(w). What are the prime factors of ((-84)\/15)\/(c\/5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438942 divided by 14\nAnswer: 31353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 170*d - 7 + 1 + 17 - 9.\nAnswer: -170*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (560\/24)\/(-14)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133512 (base 12) to base 8.\nAnswer: 1153036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**2 - 1 - 1\/24*j**4 - 2*j - 1\/3*j**3. Let a(q) be the first derivative of u(q). Factor a(f).\nAnswer: -(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45232 = 239*s + 144*s - 10379 for s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - ((3*(-3*sqrt(228) + sqrt(228)) - sqrt(228)) + sqrt(228) + sqrt(228)))\/(sqrt(12) - -2*sqrt(432) - sqrt(12)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5005\/2 - 2502. Let c = -1315\/3 - -7921\/18. Let r = c + -2\/9. Is f not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1409, 906, 69, -1102, -2607, -4446, -6619?\n\"Answer: -167*g**2 - 2*g + 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxexxmemm. Give prob of sequence eex.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2128 divided by 28\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -15 - 249*h**3 + 3*h + 5 - 23*h**2 + 247*h**3. Let l(r) = r**3 + 12*r**2 - 2*r + 5. Let c(d) = 3*a(d) + 5*l(d). Determine c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*c**2 + 5 + 4806*c + 609*c - 676*c to g + d*c + a*c**2 and give d.\nAnswer: 4739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s + 14 + 5*s - 19*s. Let u be b(2). Solve -3*m - 9 = u, 3*m = -d + m - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**2 - 1359216*o - 115466758416 = 0.\nAnswer: -169902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/9 - (-2)\/45*5. Let x be (2 + (-2)\/m)*5 + -4. Suppose 2*p = -3*z + 322, p = -x + 6. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = 8*y - 9 - 14. Let f(z) = -z**3 + z**2 + 1. Let d(b) = -5*b**3 - b**2 + b - 1. Give y*f(l) + d(l).\nAnswer: -6*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 307 - 307. Solve -r + 3*r = h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 18*y**2 + 8*y - 15. Suppose -g + 2*g - 5*l - 22 = 0, -3*g + 18 = -3*l. Suppose j - 4*j + g*p + 44 = 0, 5*p - 25 = 0. Is m(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423412536246568 + 19*w**3 + 423412536246568.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -126 (b) 0.4 (c) -7 (d) -2 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 w when three letters picked without replacement from {r: 1, a: 9, w: 1, m: 7}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 8*u + 4*k = 40, 0 = 5*k - 30. Solve 0 = -u*m - 16, d - 5*m - 18 = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57790\/(-11558)*2\/(-4)*(-4)\/20*-146.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 927861\nAnswer: 927860.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 4, m: 3}. Give prob of sequence bmmm.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 251 = -3*i, -y + 2*i - 14 + 85 = 0. Solve -y*n + 66*n = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-476)*4\/(-2)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*t = -3 + 6, 0 = -2*p - 4*t + 10. Solve 5*c - 3 - 8 = -r, 0 = -p*c - 3*r - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -11*v**8\/56 + 5*v**4\/6 - 2*v - 1. Let o(p) be the first derivative of i(p). Find the third derivative of o(w) wrt w.\nAnswer: -1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + -1 + sqrt(128))*2*1*5)**2 + 4.\nAnswer: -4800*sqrt(2) + 115304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5 - -2) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 409*q = 59*q - 5890 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -997453097 and -58013.\nAnswer: -997511110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5.19*187238\nAnswer: 971765.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from {k: 3, z: 17}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 plus -13062788?\nAnswer: -13062567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -213678885 take away -444.8?\nAnswer: -213678440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 29*n - 91. List the prime factors of y(18).\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-378)\/(-81) - 14\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3119, 6170, 9221, 12272, 15323?\nAnswer: 18374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - 2*d, -2*a + 4 = -2*d - 14. Suppose -5 = -a*c + 37. Suppose 0 = -2*l + g + 62, -c*l = -2*l + g - 155. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -10282.3?\nAnswer: -10278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:40 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4862, -4984, -5106, -5228?\n\"Answer: -122*o - 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*a**2 + 88*a wrt a.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j + 15. Suppose -4*c = -21 - 3. Let r(z) = 4*z + 41. Let d(k) = 4*k + 26. Let u(m) = -3*d(m) + 2*r(m). Calculate c*p(v) - 22*u(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3 - 20*a**2 - 33*a + 54 = 0. Calculate a.\nAnswer: -18, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1016 + 1020. Calculate the remainder when 309 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17387429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56918 is divided by 27597.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 44 = 3*a, -3*a + 5*h + 32 = h. Let o = a - 14. Let g(s) = 6*s**3 - 2*s**2 - 1. Is g(o) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 38. Suppose 0 = -5*u + 2*b + 15 - 102, 4*u = m*b - 56. Let j = u + 64. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-108) + (-31)\/(-3). Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 10:05 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:16 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5681*0.03.\nAnswer: -0.017043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4414 + 0?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 1 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1023*b - 47 + 2045*b + 16 + 33)*(0*b**4 + 0*b**4 + 3*b**4 - 2*b**3).\nAnswer: 9204*b**5 - 6130*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/(-39)*63\/6 and ((-254)\/24 - -6) + -2 + -2.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blllblllllbl. Give prob of picking 3 l and 1 b.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 18. Let m be 96\/(-64)*-1*(-32)\/3. Let n = m + z. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 7*l + 6. Let r be k(6). Suppose -2*b + 22 = -r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -54*z + 15. Let w(n) = -16*n + 5. Let v(u) = -c(u) + 3*w(u). Let t(x) = -90*x + 13. What is t(v(j))?\nAnswer: -540*j + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4917.\nAnswer: 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x - 280. Suppose 3*u = 3*j + 108, -2*u + 90 = -37*j + 32*j. Give b(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6057 (base 11) to base 5\nAnswer: 224143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n - 3. Let i be b(-3). What is the third derivative of h**4 - 3*h**2 + 3*h**i + h**2 - h**4 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 14*l + 10 = -2*h, 3*l + 2*h + 2 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:51 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/40 + 4\/10. Are u and 1\/44 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39.4, 290, 0.42?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 55578350.\nAnswer: 389048450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -142134, -140577, -139020, -137463, -135906, -134349?\n\"Answer: 1557*o - 143691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1060, 1, -4.\nAnswer: -1060, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 13\/48*d**4 + 6*d + 1\/8*d**5 + 0 - d**2 + 7\/240*d**6 + 1\/3*d**3 + 1\/420*d**7. Factor n(r).\nAnswer: (r + 1)**3*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ceie when four letters picked without replacement from {i: 4, l: 4, e: 2, c: 5}.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*a - 30, 3*w + a - 6*a + 5831 = 5881 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - 2*d**3 + 56*d**2*m**2 - d*m**2 - 254*d*m - 2*d wrt d?\nAnswer: 12*d**2 - 12*d + 112*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(3\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - -5 - (1 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1221*r**5 + 3*r**4 + 300*r**3 + 2*r**2 - 3841044*r - 2.\nAnswer: -73260*r**2 + 72*r + 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.2 (b) -0.28553 (c) 83 (d) -0.2 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**4 - 65*p**4 + 34*p**4)*(-1 + 8 - 4) + (2*p**3 + p**3 - 4*p**3)*(-2*p - 2 + 2).\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*q = -93094614 - 194777386. What is q rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 41*j**2. Let m = -439 + 442. Let g(f) = 11*f**2 + 3*f - 8*f**2 - m*f + 5*f**2. Give 2*b(c) - 11*g(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Let h be (-797)\/(-364) - (0 + f). Let t = h + 5\/52. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (28\/(-168))\/((-9)\/118) and -19\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 882 and 1254.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*h = 274, -2*d - 2*h + 307 = 121. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 66?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:35 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-2)*(3 - 4). Let k(i) = 2*i - 3. Let q be k(j). Let g be -3*((-1 - -1) + -1). Solve 0 = 3*b - 2*w - g, -5*w = q*b - 22 - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23095, 46191, 69287, 92383, 115479?\nAnswer: 138575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1536 and 4898676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -20, 4*j + 2*v - 47 + 7 = 0. Solve j*b - 5*b - 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188504?\nAnswer: 2, 23563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4\/(b\/(b*b\/b**(4\/9)))*b**(-2\/9)*b*b**(-15) assuming b is positive.\nAnswer: b**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 20*q)*(-2*q**2 - 4*q**2 + 4*q**2).\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(32\/6))\/(54\/(-1008)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1052583 - 40?\nAnswer: 1052543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbvbvggbogog. Give prob of sequence ovob.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/487 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 6. Solve c*l = -4*v + 2, 3*l - 5*v - 12 + 31 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 40.07269 tonnes?\nAnswer: 40072690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 0.06. Is w equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14*k**2 - 4*k + 11. What are the prime factors of s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236 + -20?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:43 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230001 is divided by 28750.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 - 48 + 128)*(8 + 6 - 13 + 2*p)*(2*p**3 + p**2 - p**2) to j + o*p**4 + r*p**3 + k*p + g*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 1030 + 102 = 0. Let h = u + -110. Calculate the highest common factor of 78 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*3)\/(-1 + 2). Suppose -92 = -4*l - 3*a, -a = -j*l - 0*l + 69. Let u = l + -15. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 y, and 2 g when four letters picked without replacement from goonwoowwgooy.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*n, -4*d + 2*n - 9 = -7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/2*(-18)\/21. Suppose -2*i + k*i + d - 19 = 0, i - 2*d = 28. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13100420 (base 5) in base 8?\nAnswer: -372353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5 + 6.8. What is the nearest to 2 in -3, y, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11158 - -11240. Solve -8 = -45*f + p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p)**(5\/6) assuming p is positive.\nAnswer: p**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4 + 5*h + 3 - 2*h. Suppose -4*q + 5*c + 40 = 2*c, 27 = q - 5*c. Calculate the remainder when i(7) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-18)\/3))\/(1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*k + 12, 2*k + 4 - 12 = -5*o. Let p(x) = -14*x + o*x - x. Let n(y) be the first derivative of -2*y**3\/3 + 1709. Calculate p(n(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 29113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 139. Let l(h) = 3*h**2. Give q(l(f)).\nAnswer: -3*f**2 - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1206380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -84, -133, -186, -243, -304, -369?\n\"Answer: -2*g**2 - 39*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 331879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*(-96)\/(-30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*x = -195*x + 5, -k + 6*k - 3*x = -25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 62. Suppose -34 = -p*i - 26. Let d(o) = -2*o**2 + o - 1. Calculate d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151323353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - n**2 + 8*n - 8. Let y be d(3). What is the common denominator of y\/532 - (-28)\/(-98) and -95\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 2*u. Suppose 0 = 3*x - 2*r + 3, 0*x + 12 = -x - 3*r. Let o be h(x). Let z(q) = -q + o*q - 3*q. Let i(s) = -s. Determine z(i(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/4449479 - -395233871093\/44494790. Let d = j - 8874. Let a = 26241\/10 + -2616. What is the common denominator of d and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3*v**5\/20 - 15*v**4\/16 + 31*v**3\/4 - 129*v**2\/8 + 27*v\/2 + 381. Suppose s(n) = 0. Calculate n.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = x + 396. Let z(s) = -4*s**2 - 3*s - 4. Let l be z(7). Let i = x - l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/196 and 53\/384590.\nAnswer: 37689820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 6 (b) 1\/3 (c) -4\/995\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*-3*(-4)\/48. Is 8 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 44330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11247 take away 3570.9965?\nAnswer: -14817.9965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7784)\/(-14) - (-5)\/(-1)) + -3?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmzzmmzmzzzm. Give prob of sequence zzz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r - 11. Let n = 0.06 + 0.04. What is the nearest to n in r, 2\/17, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78))\/sqrt(6) + sqrt(13) + 2*sqrt(13) + -2.\nAnswer: -2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.874 (b) 5 (c) 15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384921977 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80, -63, -46?\n\"Answer: 17*v - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30155.07 weeks to milliseconds.\nAnswer: 18237786336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 3*t**2 + 7*t + 3. Let o be k(-5). Let b be (21\/12)\/(1\/28). Let s = b - o. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 13. Suppose 4*z - 21 + 1098 = 3*y, y + 3*z - 333 = 0. Calculate the greatest common factor of v and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 799095521*s**5 - 964*s**2 + 55460*s - 1?\nAnswer: 47945731260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:33 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**3 - 4019*k**2 + 1710181*k - 427294 = 0.\nAnswer: -1327, 1\/4, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1100)*1*3 + (1 + (sqrt(1100) - (sqrt(1100) + -1)))*5)**2.\nAnswer: 1800*sqrt(11) + 89200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by (336\/9 + -13)*3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r*r**(-3\/20)\/r)\/r))\/(r\/(r\/(r*r**(-4\/17))*r)) assuming r is positive.\nAnswer: r**(471\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27096 is divided by 343?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -15, 4\/81, -0.7, -0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = -j - 9, 5*r + j = 17. Suppose r*t = 3, 3*b + 5*t - 19 - 10 = 0. Calculate the highest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 3*f + 7 + 0*f. Let i be 1\/(((-3)\/(-9))\/1). Let w(r) = i*r - 4 - 2*r + 3. Determine s(a) + 6*w(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124885.\nAnswer: 5, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*p + 2*f**3*z + f**2*p*z + f**2 + 34*z + 1 wrt f?\nAnswer: 12*p + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 205 = 10*f + 78*f - 919, -w = -3*f + 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -9. Let k = -10\/69617 - 3132745\/139234. What is the common denominator of (278\/162)\/(2\/n) and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60, 154, 290, 474, 712?\n\"Answer: v**3 + 15*v**2 + 42*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**2 + 16*k**2 + 20*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2 - -4 - 3. Let n(x) be the second derivative of -x**5\/5 + x**3\/6 + 6*x. Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -22.1022\nAnswer: -11.0511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let i = 442.4 - 442. What is the nearest to -6 in -0.2, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5982248, 1, -5 in decreasing order.\nAnswer: 1, -5, -5982248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.5 + 0.06.\nAnswer: -73.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142*y - 533*y = -198*y + 150654 for y.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + 127a13?\nAnswer: 127a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12396 divided by -849\nAnswer: 4132\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*4\/(-2) + 6. Suppose -225 = -n*k - k. Let f be 4\/18 - ((-8645)\/k)\/13. Let a(y) = 3*y + 15. Let b(i) = 1. What is f*b(q) - a(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 43*m**3 + m**2 - 2. Let j be p(2). Let h = j - 183. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/((-75)\/((-6750)\/90)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, j: 10}. Give prob of sequence jjjj.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-7)\/(-3)) - -9. Find the third derivative of -o*k**6 - k**2 + 3*k**6 + 9*k**2 wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**12)\/p)**37\/((p*p**(-8\/5)*p)\/(p*p*p*p*p*p**20*p*p)) assuming p is positive.\nAnswer: p**(2353\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/11, -5\/3, -4, 15282?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -j - 5*m, 4*j = 4*m + 63 - 803. What is j rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -188. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccjw when four letters picked without replacement from {z: 5, j: 1, w: 8, c: 5}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156715321*k**3 + 2*k - 886003834.\nAnswer: 470145963*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3029 + -4612. Let d = -847 - l. Suppose -2*p + 86 = -d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -2\/9 (c) -2\/1433819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Let g = -3 - 2. Let i = 1.043 + -1.243. Which is the nearest to g? (a) p (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1016492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 6, p: 4, n: 4}. What is prob of picking 1 n, 1 f, and 2 p?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 199951\/73, 1 in decreasing order.\nAnswer: 199951\/73, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101010111100000011 (base 2) to base 4.\nAnswer: -12222330003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -21*a + 5. Let c(s) be the second derivative of 25*s**3\/6 - 3*s**2 + 37*s - 2. Let j(n) = 5*c(n) + 6*g(n). Let t(m) = 136*m**2. What is j(t(v))?\nAnswer: -136*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.009.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 23 - 40. Suppose 0 = 4*v + v, -3*u - i = v. Let f = u + 19. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -103*i**4 + 330*i**3 + 9*i**2 + 9827072 wrt i?\nAnswer: -412*i**3 + 990*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4719\/5 - 943. Let c = -0.3 + 0.4. What is the closest to -2\/9 in c, 4, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**2*f)**(-6\/19)*(f**(2\/7)\/f)\/(f\/(f*f*f*f**(-9))))**40)**(-49) assuming f is positive.\nAnswer: f**(334320\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -5*b - 8*c, -14*c + 11*c - 350 = -b - 351 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876875.2 months in years?\nAnswer: 239739.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + (-16)\/3. Let a be -1*(4 - -6) + 1. Let h = f - a. Solve 4 = h*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3168 divided by -792\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1007576.\nAnswer: -2, 5, 1007576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**7\/14 + 9*o**5\/20 - o**4\/2 - 2*o. Let a(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 - 8 = 0. Let r be (-3)\/(-6)*(-5)\/(5\/(-28)). Let l be (-7 - (-2 + 2))*(-108)\/r. Calculate the highest common divisor of u and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 139*v**2 - 3*v + 3. Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(((b\/(b*b\/(b**(2\/23)*b))*b*b)\/b)\/b)*b)\/b*b)\/b)\/(b\/b**(-6\/7)*b))**(-27)\/((b**(-2)\/(b*b**(-3)))\/(b**(-4\/9)*b\/b**9)) assuming b is positive.\nAnswer: b**(63823\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/11, -0.12, 2\/9 in increasing order.\nAnswer: -15\/11, -0.12, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 249640360 rounded to the nearest 1000000?\nAnswer: 250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*q - 9*j + 16, -3*j - 16 = 4*q. Let h(x) = 10*x**2 + 7*x - 13. Let r(u) = 5*u**2 + 4*u - 7. Calculate q*h(i) + 7*r(i).\nAnswer: -5*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:54 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14510551 (base 6) to base 15\nAnswer: -a0317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -161*a - 83 wrt a?\nAnswer: -161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4044*p + 651*p - 5068*p + 8153*p + 8991*p)*(4*p + 0*p - 3*p).\nAnswer: 16771*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13112 (base 7) to base 14.\nAnswer: -13b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 8*p - 11. Let n be q(-7). Let w be (2\/(7 - 6))\/(n\/(-18)). Find the second derivative of -8*z**3 + 9*z + 17*z**4 + 17*z**3 - w*z**3 wrt z.\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 7, f: 2, e: 4, s: 1}. Give prob of sequence ez.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 25*h + 66. Let x be p(3). Let i(j) = x*j - 39*j + 12*j. Let z(w) = -11*w**2. Calculate z(i(m)).\nAnswer: -3564*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90837*w**4 + 5356 with respect to w.\nAnswer: 363348*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = 2*p. Let v be (-3)\/p + 24\/10. Suppose f + 3*q + 7 = 5*f, -3 = -3*f + v*q. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**3 + 35955*f**2 - 323900*f + 720000 = 0.\nAnswer: -7200, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1. Let n(q) = -2*q**2 + 3*q - 1. Let w(d) = 5*d**2 - 8*d + 4. Let s(j) = -8*n(j) - 3*w(j). Calculate -3*s(t) - 12*u(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*-1)\/sqrt(11) - (sqrt(10)\/sqrt(2) + -4) - sqrt(10)\/(sqrt(18)*4))**2.\nAnswer: -50*sqrt(5)\/3 + 5429\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + l + 5050 = 0, -5*g - 2*l = -5859 + 824. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35208 = -403*v - 93*v - 156*v for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*i = 2*n - 548, 0 = 4*i + 16. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3938*f*j*w**2 + 4*f*j + 2*f*w**2*z**2 - f - 3*j*w - 8509*j*z**2 with respect to w.\nAnswer: -7876*f*j*w + 4*f*w*z**2 - 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 0*r - 4*r)*(-4*r + r + 2*r) - r**2 - 3*r**2 + 5*r**2 + (-r + 6*r - 4*r)*(2 + 2 + 12)*(-r - 2*r + r) as j*r**2 + d*r + a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2 = -3*c, -21 = -3*g + 4*c - 25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320600 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -249364, -2, 11, 5 in decreasing order.\nAnswer: 11, 5, 2, -2, -249364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuuuwwwmuumu. Give prob of sequence muu.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7775 rounded to three dps?\nAnswer: -0.778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47682272 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b. Suppose -2*u = u - 6. Suppose u*l + 16 = -4*k, -l - 3*k - 18 = k. Let p(o) = -2*o - 2 + 4*o + l. Calculate x(p(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 41 = 2*b. Let d = -18 - -20. Calculate the greatest common factor of b and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5\/23 + 242*h**4\/23 - 352*h**3\/23 - 124*h**2\/23 + 356*h\/23 - 118\/23 = 0.\nAnswer: -1, 1\/2, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*j**2 + (6*j - 2*j - 3*j)*(-j + 5*j - 6*j) - 2*j**2 + 5*j**2 - 5*j**2 - 2*j + 2*j + 17*j**2)*(-3 + 3 + 2).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 579 + -590. Sort -5, a, -4.\nAnswer: a, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or 220?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -48, -117, -216, -345?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 + 15667018.\nAnswer: 15667018.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(121)*-2 - -4*-1*sqrt(121))*1)\/(3*sqrt(99) + 3*sqrt(1584)).\nAnswer: 8*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 3, -4, -9, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 21*b**2 + 20*b - 30. Let w be k(20). Let a = w + 105. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 67 = -5*p. Suppose 0 = 4*f + 3*t - p, -5*f + 0*f = 3*t - 37. Put -4, f, 3 in descending order.\nAnswer: f, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 - 7 - 5) - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*m**2*p**2 + 3*j**2*p**2 - 15*j*m*p**2 + 5*j*p**2 - j*p + 80*m**2*p**2 + 2*m wrt m?\nAnswer: 2*j**2*p**2 + 160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:34 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -11 + 14 + 11 + 23\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 25*o**3 - 2 - 8*o**3 + 2.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 - 11*x + 2. Let g be j(-6). What is the common denominator of g + ((-3000)\/126)\/(-10) + 5 and -1\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6187*z + 6111*z - 298 + 754. Solve -z*f + 9*f - 5 = 2*g, 3*f - 2 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73.8 + -66. Let n = -0.43 - -8.43. Let v = l - n. Are -10 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*c + 2 = 4*v, 3*v + 3*c - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/15)\/(13\/(-26)). Which is the closest to 0? (a) 0.3 (b) -2\/9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6\/125, 0.14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 24*a + 22. Let h(m) = 2*m**2 - 16. Let n(i) = 2*h(i) + u(i). Give n(-25).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*u**3 - 866199*r - 101140*u**4 + 3*u wrt u.\nAnswer: 6*r*u**2 - 404560*u**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 673\/(((3 - 2) + 1)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15248714 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) -0.3 (c) 1\/11 (d) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16125 and -64\/112875?\nAnswer: 112875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.8. Let g = 40 - 44.8. Let a = 0.8 + g. Sort a, 2, s in ascending order.\nAnswer: a, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 534 and 3628174.\nAnswer: 10884522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + v**3 + 2*v**3 - 16 - 38*v - 11*v.\nAnswer: 3*v**3 - 49*v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78245 divided by -15649.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11168 and 21638.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10 + 5 + 2 - r**3 + 9*r + 6*r**2. Let t(z) = 6*z**2 + 1. Let i be t(-1). Is w(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -574, -2\/11, 2\/5 in ascending order.\nAnswer: -574, -2\/11, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15533*r**2 - 70*r - 69. What are the prime factors of s(-1)?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54254 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let v(p) = -187*p + 28988. Let u be v(155). Solve -g = u - i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/((-1137)\/3411)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-9))\/((-2)\/12))\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*f - 9 + 18, 3*q + 27 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 15*y**2 + 170 + 20*y**2.\nAnswer: -2*y**2 + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000339 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 20*d**2 - 4*d - 7. Let y be h(-11). Suppose -1664 = -3*l - 2*z, -6*l + 4*l + y = -2*z. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 23252261?\nAnswer: -23252272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11121168710 by -5.\nAnswer: -2224233742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 7\/6*x**3 - 2\/5*x**5 - 7*x + 0*x**4 + 0*x**2 + 0. What is the second derivative of j(u) wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34576499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/21 and 6\/216*304\/3 - 2.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*c + 12*n - 36 - 21 = -596*c, 11 = -c - n + 2*n for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 82*a**2 - 23*a - 238. Let o(c) = -41*c**2 + 11*c + 136. Determine 7*o(l) + 4*w(l).\nAnswer: 41*l**2 - 15*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 + j**2 - 268 + 767 - 273.\nAnswer: j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -17)*(-7)\/(-6). Suppose 8*r = -x + d*r + 5, -8 = 2*x - 4*r. Solve x*n = n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12813 divided by -4271?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -2 - 0 - (-46 - 8) and ((-44)\/7)\/2*(-314 + 300).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1458\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531200 and 5850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2 - 5 = -3*h, -5*h - o + 28 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42449*c - 42449*c + 1165735*c**2.\nAnswer: 1165735*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (22 - 20 - 7) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*x + 0*x + 131*x - 66*x + 265*x.\nAnswer: 952*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g + 2. Let l = 3 - -2. Suppose 0 = 3*d - 5*u - 6, -d + l*u = 6 + 2. Let w = d + -5. Calculate m(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 300, 421, 552, 693, 844?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2109 and 855?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34582503 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 131915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3401\/4 - 825. Find the common denominator of i and 5397\/(-882) - ((-12)\/9 + 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109915*f*j**3 - f*j**2 + 3*f - 181*j**2 wrt j.\nAnswer: 659490*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(4)*-2))\/(sqrt(150) - 2*sqrt(150)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 + 5264*k - k**2 - 3 + 65*k**3 - 5266*k in the form p*k**3 + g*k + f + v*k**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11322114?\nAnswer: 2, 3, 1887019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 - v**2 + 392 - 53*v + 3*v**2 - 44*v + v**3 + 145*v - 50*v to q*v + a + l*v**4 + i*v**3 + p*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(-12)\/16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -80. Let z = 0.3 - -0.2. What is the biggest value in 2\/13, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114924 at most as big as -114924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*u - 84, 285*u - 41 = -3*y + 284*u. Let r(c) = -c**3 + 10*c**2 + 7*c + 9. Determine r(y).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1361122 (base 10) to base 8.\nAnswer: -5142342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwsr when four letters picked without replacement from {c: 1, r: 2, s: 3, f: 5, w: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h)\/(h*h**(-3)))\/(h**(2\/13)*h*h)**(1\/83) assuming h is positive.\nAnswer: h**(7525\/1079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, -86 in decreasing order.\nAnswer: 2, 1, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 484 - 344. Let x be b\/(-21)*-1*(-3)\/(-2). Solve -6*j - x = -8*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 4*j**4 - 2*j**4 + 0*j**4 - 3*j**4 + 5*j**4 + (j - 5*j - j)*(153*j**2 + 14*j**3 - 153*j**2) + (-1 + 0 + 0)*(2 - 4 + 6)*(14*j - 3*j**4 - 14*j).\nAnswer: -55*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -4*p, -3*a + 0 = -4*p + 5. Suppose -s - 276000 = -p*s. Round s to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 2*g - 94 - 94.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 20. Let t be ((-48)\/p)\/(1\/5). Let v be 32\/t + (1 - 0). What is the second biggest value in v, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 + 6864204*s\/7 - 27456864\/7.\nAnswer: 3*(s - 4)*(s + 2288072)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + m**2 + m - 1. Let o(v) = 3*v**3 - 5*v**2 - 5*v + 6. Let u = 4 + -9. Let r(a) = u*s(a) - o(a). Find the first derivative of r(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/10)\/((-5)\/(-375)*5). Solve 5*y = 3*g + 1, k*y - 4*y + 5*g + 15 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -4. Let v be (c - (1 + -3))*4. Let l(d) = d**2 + 9*d + 4. Let s be l(-9). Solve 4*q - s*h = -2*h + 2, v*q = 4*h + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 9*q + 5. Suppose -3*n = 2*f + 139, 2*n + 90 = -4*f - 8. Let o be (-3)\/(-2) - n\/6. Let u be g(o). Sort 4\/7, u, 0.2 in increasing order.\nAnswer: 0.2, 4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k. Suppose 6*v = 4*v. Suppose v*b = -5*b + 20. Solve b*c - u - 4 = k, c - 16 = -4*c + 4*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6079087.82 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q**2 + 637. Let p(j) = j**2 - 1. Calculate 8*p(l) - u(l).\nAnswer: -l**2 - 645","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l = -18*l + 36*l + 37 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22995621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277099414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -h + z, 2 = -2*z. Let i(y) be the first derivative of 49*y**3\/3 - y**2\/2 - 18. Is i(h) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -2*m**6\/15 - m**5\/5 + m**3\/2 + 1390*m**2 - 249*m + 21. Differentiate w(h) with respect to h.\nAnswer: -16*h**3 - 12*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 23.36. Let u = v - -0.3. Let r = u + 0.06. Which is the closest to r? (a) -4\/9 (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24276396 plus -1.54?\nAnswer: 24276394.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1 (c) -5\/7 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2754\/3213)\/((-63)\/(-3675)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -596*o + 115*o + 122*o + 126*o + 122*o + 120*o. Let p(c) = 13*c - 9. Let n(q) = -3*q + 2. Let w(t) = -9*n(t) - 2*p(t). Give -2*s(z) + 6*w(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 7) to base 14\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 81.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.7 - -33. Let c = d - 0.55. What is c rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*a + 7*a - 1658, 4*i = -5*a + 2214. Is i smaller than 555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110211121000221021 - 12?\nAnswer: 10110211121000221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 + 2*x**2 - x**2 + (3*x - x + 0*x)*(-1 + 1 + 2*x) in the form g*x + u + z*x**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5158 + 5160. Solve 4*s = -c*u - 22, -4*s - 21*u = -24*u + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/34 + 976*v**3\/51 + 59536*v**2\/17 + 321. Factor y(m).\nAnswer: 2*m*(m + 244)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k*k**(-3)\/k*k)\/k)))**39*(k**2*k)\/k**(-2) assuming k is positive.\nAnswer: k**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + p)*(-4*p + 7*p - p) - 2*p**2 + 4*p**2 + 0*p**2)*(-252*p**2 + 252*p**2 + 137*p**3) - p**5 + 7*p**5 - 3*p**5.\nAnswer: 551*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 - 8*j - 1. Let a(x) = 7*x**2 + 9*x. Let b(r) = -5*a(r) - 6*i(r). Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25\/212 - 513\/530. Let i = -48793\/842198 - 2\/9793. What is the common denominator of h and i?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 511 = -137. Calculate the remainder when 80 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 39*z - 272. Let a be u(10). Factor -1\/2*k**2 + 6*k - a.\nAnswer: -(k - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/9461 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + (-1 - 505\/12). Let u = g - -44. Which is greater: 0.15 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-65))\/((36\/30)\/((-12)\/(-20)))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3653.9976 + 3648. Let n = -7.8 - -1.8. Let l = c - n. Round l to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 - 825645*z**3 - 75744397053*z**2 - 2316389893735743*z - 9264347717430636.\nAnswer: -3*(z + 4)*(z + 91737)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -14*c + 18*c - 5*o, 0 = 3*c - 3*o + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -127*a**3 + 611*a**2 + 126*a + 27. What is h(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 170190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12697, -10189, -7681, -5173, -2665?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5\/3 - 121*a**4 + 731*a**3\/3 + 121*a**2 - 730*a\/3 = 0.\nAnswer: -365, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(648))*-6.\nAnswer: -108*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 21. Let n = -4 + c. What is the smallest value in 2, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -13, 8, 2 in increasing order.\nAnswer: -13, -2, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 11. Suppose 16 = -i + 29. Let d(a) = -7*a + 83. Let m be d(i). Calculate z(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32760 and 137152.\nAnswer: 561637440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + 24?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least -25\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/3 + 1350487340*l\/3 - 227977006937534450\/3 = 0. Calculate l.\nAnswer: 337621835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (-1252)\/(-14) + (-8)\/(-14)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 76.05 (b) -2072 (c) -4\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, 1\/5, 27.81?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5128 = 2*g. Suppose 3*r + 3071 = -7921. Let k = r - g. What is k rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 2*q**2 + 0*q**2 + 1 - 1 - 3*q**2 + (-3 - 2*q + 3)*(-2*q + 4*q - 4*q))*(9*q - q - q).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/3 - 560*c**2\/3 + 376*c = 0. Calculate c.\nAnswer: -282, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -4, 0.54, -2\/11, -1\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 67. Suppose 152 = w*y + q - 273, q = 2*y - 177. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2278)\/(-68))\/67)\/(14\/(-35))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5085 and 25879185.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 777 + -134?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1672109706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-seven halves of a millennium?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77 + -120?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j - 4. Suppose 5*b + j*u = 5*u + 240, 102 = 2*b - 2*u. Let c = b - 30. Calculate the smallest common multiple of 18 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 349600 = -13*f. What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 834836334*i**5 + 211*i - 217623?\nAnswer: 16696726680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 685578502 a multiple of 5282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081582470.\nAnswer: 2, 3, 5, 1335287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6335)\/(-140) + ((-14)\/24 - (-3)\/9). Solve -g = 15*s - 6*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - -32. Let u be (-1)\/(2\/d*-3). What is the highest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75932395 or -75932399?\nAnswer: -75932395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 + 14. Is a(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231876 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 163 - 168 - ((-2 - -4) + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60511 divided by -5501?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - (1 + -12 + 8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**(-42)))**(-23)*(d*d**(11\/7)*d*d*d)\/(d*d\/(d\/((d*d*d**(-1\/34)*d)\/d))*d*d) assuming d is positive.\nAnswer: d**(240999\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-9\/4))**(-32) assuming n is positive.\nAnswer: n**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 29 - 19 = 0. Let d(z) = z + 16. What is the smallest common multiple of 20 and d(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*p**3 - 98711*p**2*u**2 + 18413*u**2 - u + 3 wrt p.\nAnswer: -39*p**2 - 197422*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 5232.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101210 + 1002?\nAnswer: -100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 18*p + 2. Let f be k(-9). Let y = f - -29. Suppose 34 = h - y. Calculate the remainder when h is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 14. Let y be c(-12). Differentiate -8 + 2 - 3*t**y + 9*t - 9*t with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.142 (b) -6\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:45 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495614697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2222 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*j - 292 + 1056, 3*q = j + 2276. Let d be 55\/2*12\/10. What is the highest common divisor of d and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224434 (base 5) to base 15\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/33 + (-34747476)\/517. What is p rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(1785\/4)*-34.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {z: 5, l: 13}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215.754 + -0.246. Let m = -216 - w. Which is the smallest value? (a) 0.42 (b) -2 (c) 0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.06 + 15.16. What is the fourth biggest value in r, -3\/4, 0, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v + 3. Let f be q(-1). Let a(m) = -m - 1. Let j(w) = -3*w**2 + 12*w + 17. Let o(x) = f*j(x) - 6*a(x). What is the units digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110001 + -110100?\nAnswer: -111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/2*(-48)\/20. What is the second derivative of -27*v + 2*v**2 - k*v**2 + 25*v wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2) + 4 + -5))**2.\nAnswer: -72*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 139080*z + 834300 = 0. Calculate z.\nAnswer: -27810, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**3 - 4*u**2 + 5*u - 1. Let y(b) be the third derivative of b**6\/120 - b**5\/60 + b**4\/24 + 2*b**2 + 245. Give -r(x) + 5*y(x).\nAnswer: -3*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d - d - 3*d + (-1 + 0 - 2)*(-d + 3*d - d) - 17*d - 14*d + 0*d to the form x + u*d and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25569*k**3 + k**2 + 51141*k**3 + 1 - 1 - 25594*k**3.\nAnswer: -22*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -325 + 28. Let b be u\/6*2\/(-1). What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/((-3)\/(-54)). Suppose g - 14 = v. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418 (base 9) to base 7\nAnswer: -665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -2*b + 971. Does 27 divide (-14)\/63 - b\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g**3 + 22*g**2 + 0 + 1\/10*g**5 + 1\/2*g**4 + 1\/160*g**6 + 0*g. Let h(b) = 0. Calculate b.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*l - 152*l = 42*l - 468 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4)\/((-11)\/(66\/24))*(-164)\/(-738)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633821 is divided by 1381?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:50 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 851087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.2 (b) -0.3 (c) -0.6 (d) -0.0343\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -25*n**2 - 433*n - 1857. Give a(-7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 13*h - 25. Let w be v(5). Suppose -w = 14*j + j. Sort 3, 1, j, 0 in decreasing order.\nAnswer: 3, 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19447976 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 3*i)*(-5*i + 11*i + 43*i)*(1 - 1 - i)*(-3*i - i - 5*i).\nAnswer: 882*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 1. Let o be m(3). Suppose -i = o*i. Is -8\/9 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 2, 454732, -368\/5, 4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 + (2 - 0 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -555, -542, -507, -438, -323, -150, 93?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -212*f**3 + 3*f**2 - 3*f + 1. Let u(q) = -425*q**3 + 7*q**2 - 7*q + 3. Calculate 7*o(i) - 3*u(i).\nAnswer: -209*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3241\/5 or 104?\nAnswer: 3241\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 8. Let r = j + -3. What is the remainder when r\/(-1) - -4*4 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -23023112113?\nAnswer: 23023112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(35) + sqrt(175)\/(sqrt(15)\/sqrt(3)))\/sqrt(5) + -2.\nAnswer: -7 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:35 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 16. Let v = -5 - w. Suppose v*x = 2*x + 52. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -1241115842*a**3\/9 - 6210362122*a**2\/9 - 7973056*a\/3 - 2560 = 0.\nAnswer: -5, -48\/24911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21208183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16621752 is divided by 466?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + c - 1. Let i be f(1). Let s(g) = 3 - 4*g**2 + 8*g + 2 + 5*g**i. Let p be s(-7). Let o(a) = -3*a**2 - 3*a - 2. What is o(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2921380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbtrbrrtrrrrr. Give prob of picking 2 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 - 100*d + 2994. Let l be 0\/(-2) - 66\/(-2). Suppose -19 = -4*i + l. What is the remainder when k(-32) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3218, 14, -4\/7?\nAnswer: 3218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i - 7. Let f(z) = -49*z + 26. Determine -18*c(s) - 4*f(s).\nAnswer: -20*s + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9593863*a**2*l*q + 13*a**2*l - 28376*a*l*q + a*l - 4*l*q + 4*l - 6*q wrt a?\nAnswer: 19187726*l*q + 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + (-1 - -4) - (215 - 206).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144 in -0.078, 2\/7, 0.8?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 6*z**2 - 2*z + 1. Let v be f(6). Let j = 1553 - 1574. Let m = v - j. What is the remainder when m is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:13 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*u = 236 - 29. Which is bigger: u or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(567)*1*-1 + 1*sqrt(567)*4)**2*4 + 4).\nAnswer: 40832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/17121 - -1879\/399490. Let c(s) be the second derivative of 0*s**5 + 0*s**3 + 1 - 1\/14*s**2 + 2*s - f*s**6 + 1\/42*s**4. Factor c(b).\nAnswer: -(b - 1)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.2 - 7.4. Put 1, -1.2, u in ascending order.\nAnswer: -1.2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 10908.\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 4\/11, -7, -12?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4247, -8517, -12813, -17135?\n\"Answer: -13*x**2 - 4231*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 5*t**2 - 33*t - 19. What is the units digit of f(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 36. Let g = w + 20. What is the smallest common multiple of g and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 2, 1, 0 in descending order.\nAnswer: 3, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -68 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 1. Let j be (0 + (-57404)\/6)\/(164\/(-246)). Let d = 3 - 1. Let b(n) = -j*n + n**d + 14351*n. Give l(b(t)).\nAnswer: -3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s - 130*s**3 - 8*s + 22*s)*(6*s - 2*s**2 - 6*s).\nAnswer: 260*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/10, 0, 2, 3, -1 in ascending order.\nAnswer: -1, 0, 13\/10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 m when four letters picked without replacement from mzzzzzzzzmmzmzzzzzz.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/((-12)\/30). Let m be 1\/(f*3\/45). Find the third derivative of 6*t**2 + 2*t**5 - 3*t**2 + 0*t**m - 2*t**2 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-56 - -14)) + -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.28 + -78.28. Which is the nearest to r? (a) -2 (b) 2 (c) -2\/13 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 22*w + 35. Let c be w\/28 + 42\/168. What is the fourth biggest value in -2\/5, 1, 0, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (60\/5*-1)\/(-2). Let f = -91 + 93. Let u(i) = -1 + 2*i**f + 4*i - w*i + 2. What is u(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(1008) + sqrt(1008) + -5 + -3)**2.\nAnswer: -1728*sqrt(7) + 24408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 6549480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182069801*v**4 + 80908815*v**2 wrt v.\nAnswer: -4369675224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (47\/3)\/((95\/(-630))\/19). Let l = -1972 - q. Suppose t + 1\/3*t**l + 2\/3 = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/72 + 79*p**5\/36 - 1055*p**4\/18 - 770*p**3\/3 - 12243*p**2. Factor f(n).\nAnswer: -5*(n - 66)*(n - 14)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - x - 18, 5*w + x + 16 = 38. Let q(h) = h**3 + 8*h**2 + 3*h - 4. Let j be q(-7). Does 11 divide 762\/j - (-1)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 10*h**2 - 9*h + 199. Let k be q(8). Let p(f) = 30*f + 2. Determine p(k).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 87*w + 171. Let z be v(-89). Put z, 1\/7, -29, -3 in ascending order.\nAnswer: -29, z, -3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.031045 - -0.02916144. What is f rounded to 5 decimal places?\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 683116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*i + 17, 4*t + 11 = 5*i + 4. Let w(z) = -z**3 - 6*z**2 - 6*z - 1. Let q be w(-5). Is 4 a factor of (14\/q)\/(t\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/592 and 91\/7936944?\nAnswer: 7936944","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3866b (base 14) to base 3.\nAnswer: -21000221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 36. Let p be o(-8). Is p - (-10*4 - -5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(((k*k**(-5))\/k*k)\/k*k)\/k*k*k)\/((k\/(k*k**6))\/k))\/(k\/k**(2\/3))**(-18) assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7416\/252 + (-4)\/(-7). Let q = 32 - 12. Calculate the highest common factor of q and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 1044.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -227 + 218 - (3 + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3 + 9*x + 6*x**2 + x**3 - 12*x - 2*x**3. Give l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34472 and 53640.\nAnswer: 231134760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126 or -128?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -78. What is the remainder when 56 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 110200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5)*160\/(-16). Suppose 0 = z*y - 6*y - 8*y. Is y greater than or equal to -3.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98, 473, 1448, 3311, 6350, 10853?\n\"Answer: 48*p**3 + 12*p**2 + 3*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - 2*v)*(-31 + 32 + 7*v - 4*v + 3*v**3 + 3*v**4).\nAnswer: 3*v**5 + 3*v**4 + 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/((-2)\/(-3)*-3). Let q = h - 12. Suppose 0 = g - 61 - 29. What is the highest common factor of q and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 3 - 3)*(1 - 3 + 0) + 3*d + d - 2*d)*(-4 + 4 + d + (-3*d - 3*d + 7*d)*(86 + 29 - 49)).\nAnswer: 402*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5427100 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90654.89l in millilitres?\nAnswer: 90654890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - (97 - 110)) + -6 - -18\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(448)*2 - ((sqrt(7) - sqrt(14)\/sqrt(2)) + 1)**2) + (sqrt(77) + (sqrt(77) + sqrt(77)*2*4 - sqrt(77)))\/(sqrt(1100)*2).\nAnswer: -4 + 329*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.8231 microseconds to seconds.\nAnswer: 0.0007518231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 1, c: 4, y: 2, j: 4, a: 1}. What is prob of sequence va?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643092 is divided by 332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0876161 rounded to 3 decimal places?\nAnswer: -1.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2576\/(-736))\/(8\/(1376\/7))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*-4 + 4. Suppose 0 = -3*o + x*o + 16. Sort o, -3, 2.\nAnswer: -3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2, 4\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/25, -2\/7, 0.0461, 11 in decreasing order.\nAnswer: 11, 0.4, 0.0461, -1\/25, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511406 is divided by 249.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*(-6)\/(-4). Let g be (-2)\/(3*250\/15). Is g not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-167)\/540 + ((-97965)\/(-1050) - 93).\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/5 + 926*d**3 - 23084*d**2\/5 - 37056*d\/5 + 44352 = 0 for d.\nAnswer: -3, 4, 2310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-19 + (-15 - -9)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtvto. What is prob of picking 1 t, 1 v, and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 9. Suppose -6*w = -35 + 11. Let x(k) = -3*k - 8. Let c(l) = w*j(l) + 3*x(l). Let m be c(8). Solve 5*g - 32 = -2*y + 6*y, 0 = -m*y - 3*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -7*b + 1094. Suppose 17 = 3*z - 10. Suppose -5*c + z*c = b. Calculate the remainder when c is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.006*2.33.\nAnswer: 0.01398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 54. Let w = v - -17.00007. What is w rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 + q**3 - 298*q**2 + 299*q**2 - 8 - 3*q**4 to the form r*q + t + j*q**3 + k*q**2 + g*q**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(27 - 5 + 15)*(0*k + 3*k - 2*k) - 50*k + 1102 - 1102.\nAnswer: -87*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(150)*5))**2.\nAnswer: 17\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0 + 0)*(0*h**2 + 0*h**3 + h**2 - 3*h**3).\nAnswer: -6*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 26. Suppose 32 = k - 0*k. Calculate the highest common factor of b and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*b = 171006, 241969 = 5*n - 4*b + 70995. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c - 8. Let s be v(16). Let h be ((-10)\/(-8))\/(-5 - 594\/s). Let b(n) = 3*n + 85. What is the lowest common multiple of 6 and b(h)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 8*v**2 + 2*v**2 + 2*v - 3*v**2 - 2*v + (-6*v + 2*v + 2*v)*(0*v - 3*v + v) - 36*v**2 + 10*v**2 - 9*v**2.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*c = 17, -26 = -3*s - 5*c - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201860.\nAnswer: 2, 5, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**5\/30 - n**3\/6 + n**2\/6 + 15. Solve u(h) = 0 for h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 82. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -17. What is the first derivative of -5 + y + 0 - 5*u wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -200675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0592? (a) 158 (b) -9\/4 (c) 0 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2. Let u(k) = -3*k**2 - 2*k - 2. Let c(q) = 3*q**2 + 3*q + 3. Let f(s) = 2*c(s) + 3*u(s). Determine f(m(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 6 - 26. Suppose p + 1159 = 4*d, 66 = 3*d + z*p - 827. List the prime factors of d.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, -2\/3, 7\/16466, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48704 - -0.2?\nAnswer: -48703.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-6))\/((-1968)\/70848)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1321095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231772150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 2*z + 8. Let h(s) = s**2 + s - 1. Let u(m) = -3*m**2 - 4*m + 5. Let o(l) = -4*h(l) - u(l). What is -4*o(j) - v(j)?\nAnswer: j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 75980618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 1) + (-3 - 17) + 88 + -78?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 6 (c) -872 (d) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37198209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((20\/(-2))\/(-1))\/8*4. Solve 5*t - 4 = 2*i, -i + 4*i + h*t - 19 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10311251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421096 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = -2*t. Let k(v) = -v + 8. Let z be k(16). Let r be 4 - 3 - -2 - (-20)\/z. Which is the nearest to t? (a) -2 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -9. Is 753\/9 - p\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*x + 227 = -457. What is the closest to -0.1 in x, 3\/17, 6, -1?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 10:43 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64785 = -22*d + 9399. What is the greatest common divisor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(((-1)\/(-6))\/((-4997)\/57)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 7:05 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.062 + -79.938. Let a = -81 - d. Is -2\/15 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 1. Let r be y(-1). Suppose r*i - 54 = -i. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84, -165, -238, -303?\n\"Answer: 4*g**2 - 93*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 5080.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 13 - 8)*(2*u + 18*u**3 - 31*u**3 - 14*u**3) in the form l*u**3 + i + k*u + j*u**2 and give l.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**4 + 5688*z**2 - 84*z - 563650 wrt z.\nAnswer: -8*z**3 + 11376*z - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59, -71, -87, -107?\n\"Answer: -2*f**2 - 6*f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -28*a**2 + 4. Let j(z) = 23*z**2 + z - 5. Let p(l) = 5*i(l) + 6*j(l). Suppose -12 = 2*q + 2. Let c be p(q). What is c rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -36.986. Let y = g - -0.214. Which is the closest to -1\/4? (a) -2\/13 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1131*g**3 - 2157*g**3 + 1132*g**3.\nAnswer: 106*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b = -3*o + 31*b + 98, -5*o + 125 = -b. Solve 5*j - 3*u + 26 = 0, 2*j + 2*j + o = 5*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 12*i**2 - 6*i - 1. What is the units digit of w(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 + 3)*(4 - 2 - 1)*(-8 + 8 + 9*l**2) to g + t*l + d*l**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {a: 1, t: 1, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*c + 50 = 5*x, 4*c + 140 = 4*x. Let t = 2433 - 2413. Calculate the greatest common divisor of x and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69167705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*19\/380*5*(-16)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -508.112 - -3\nAnswer: -505.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*r**3 + 4*r**2 - 2*r**2 + r**2 - 6*r**2.\nAnswer: -146*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -625190, -625199, -625208, -625217?\n\"Answer: -9*u - 625181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 4*g + 210 = 18*g. Let k(j) = -2*j + 17. Let t = 44 + -27. Let h(v) = v - 6. Determine g*k(r) + t*h(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 at most as big as 654.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 2082*b + 56914. Determine r(-27).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 66, 175, 358, 633, 1018?\n\"Answer: 3*r**3 + 10*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9427388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*f - 18152 = -23206 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - f = -2, -14 = 3*y - 6*y + 5*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:11 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3 - 3104\/(-112)) - (-4)\/(-14)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-60) + (-117)\/135)\/((-2)\/448). Calculate the greatest common divisor of f and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470859331 - 2?\nAnswer: -470859333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18775789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2. Let q(p) = 2*p**2. Let r(d) = -3*l(d) + 4*q(d). Let k(o) be the third derivative of -5*o**5\/4 - 85*o**2. Give k(r(u)).\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 32*b - 51. Let m = 57 - 84. Let q be i(m). Calculate the greatest common factor of 42 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.52 - 68.\nAnswer: -63.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441 + -53?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33222)\/(-39) - ((-76)\/(-13) + -6). Suppose 0 = 3*b - 8*b - 5*y + 1050, 0 = 4*b - 2*y - w. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -16431?\nAnswer: 16426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**3 + b**2)*(-2*b + b + 2*b) - 2*b**3 - 2*b**4 + 2*b**3 + (-1 + 4 - 4)*(2*b**4 + b - b) + 3*b**4 - b**4 - b**4.\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -56*m + 121. Determine v(17).\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13*k - 66. Let y(r) = -2*r - 47. Calculate -q(p) - 5*y(p).\nAnswer: -3*p + 301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*u - 36*u - 56*u - 77*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*v**2 - v**3 + 27124 - 27124)*(-5*v**2 - 2*v - v + v).\nAnswer: 5*v**5 - 818*v**4 - 328*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 2*u + 2. Let h be 18 + -16 - (-1 - -1). What are the prime factors of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1 + 20\/6. Which is the third smallest value? (a) 3 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 268 (c) 3 (d) -175 (e) -3\/8 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 12:48 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 556*t - 12*t - 145*t - 3 + 2.\nAnswer: -719*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t + 8. Let d be 18\/27*(t - 1). What is the closest to 1\/3 in d, -0.1, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 3*g + 5. Let n be q(5). Let i(b) = b**2 + 2*b - 7. Let m = 9 + -1. Calculate the least common multiple of m and i(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1059040, -1059052, -1059064, -1059076, -1059088?\n\"Answer: -12*t - 1059028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-26))\/((-40)\/32).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2121540 and 93878145.\nAnswer: 375512580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 356594 times 23?\nAnswer: 8201662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 + 10 = 0. Suppose -f*k = 3*z - 16, -7 = k - 5*z + 12. Let d = -2\/159 + -151\/636. Is k less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581791904 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: Put 2, -4\/3, -1317, -5, 17\/4 in decreasing order.\nAnswer: 17\/4, 2, -4\/3, -5, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 5\/10*4. Let c(n) be the first derivative of 2\/21*n**3 + 0*n**2 - 2 + k*n**4 + 0*n - 2\/35*n**5. Suppose c(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 - 8. Determine b(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 983999.187 plus 0.0908?\nAnswer: 983999.2778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, 8798 in descending order.\nAnswer: 8798, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 22625, -2, -52, -5, 4 in increasing order.\nAnswer: -52, -5, -2, 4, 22625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/280 and -81\/260.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 676 - 675. Solve -4*j = 2*v - 3*v - m, -j = 3*v - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-84)\/(-140))\/((-24)\/100) + 439\/120 and -109\/648?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.6783 plus 333414347?\nAnswer: 333414365.6783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -3 - 2)\/(45\/(-10)). Sort 5, c, -2\/9.\nAnswer: -2\/9, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 11*x**2 + 3*x - 27. Let n be t(11). Suppose -n*h + 50 = 4*h. Let v = 11\/8 - -27\/8. Is h less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -18*v**2. Let c(x) = 0*x - 5*x - 6*x. Give c(y(t)).\nAnswer: 198*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, 1709, 3674?\nAnswer: 5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18914845 is divided by 12669?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1458281771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 160\/(-96)*(-4)\/(8\/6). Suppose z + 487 = -5*w, -t*z - 695 = -3*w + 1656. Which is smaller: z or -471?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -652 + 655. Suppose -4*h - 2*n - 20 = 3*n, 0 = -h - n - 4. Let t(y) = -4 + 0*y + 3*y + h. What is t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**(-5\/2)\/((g*g\/(g**(-3)\/g*g))\/(g\/(g\/g**(-2\/9)))) assuming g is positive.\nAnswer: g**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -99 (c) -83 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -2 (d) -0.6 (e) -3\/2 (f) 33\/5 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-32 - (-88 + 38))) + (2 - (-2 + -2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 338 = 5. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/10 - (-2)\/2. Let l be 270\/(-40)*(-7)\/63. Put f, 0.08, l in increasing order.\nAnswer: f, 0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/7))**(12\/19)*((p*p**(3\/4))\/p)**(4\/7))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(sqrt(5) + -4) + (sqrt(75)\/sqrt(5))\/sqrt(3))**2*1 + 3.\nAnswer: -160*sqrt(5) + 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-17932.\nAnswer: -8966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 49, -2, -5, -3 in descending order.\nAnswer: 49, -2, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3082743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 282 (b) 18\/13 (c) -0.1 (d) -0.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2387*q + 22498*q + 287*q + 1937*q to c + r*q and give r.\nAnswer: 22335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 + -1.74. Let z = 0.15 - 0.21. Let x = j + z. Which is the second biggest value? (a) 2 (b) x (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 81?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 18. Suppose 2*d - 20 = 2*v, 0*d - 5 = -o*d - 3*v. Solve -d*x + 25 = 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 29*h**2 - 30*h**2 + 1 - 4277*h + 4275*h. Determine q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -10*g + 12 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2790 and 465?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173811091 - 0.049.\nAnswer: -173811091.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o - 56. Let m(f) be the second derivative of -f**5\/20 - f**3\/6 + 11*f**2\/2 - 11*f. Let c be m(0). Let d be k(c). Does d = 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 300612519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(5 + (1*sqrt(304) + sqrt(304) + -4 - sqrt(304)) + sqrt(304) + sqrt(304)*1*-5))**2.\nAnswer: -864*sqrt(19) + 98527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwbb when four letters picked without replacement from {b: 6, w: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 - 7*d**3 + 112*d**2\/5 + 372*d\/5.\nAnswer: d*(d - 31)*(d - 6)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812213 to the power of 1\/2, to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2268 - 2205. Let c = 15 + -6. Suppose 16 = -5*f - c, 0 = z - 5*f - 32. Calculate the highest common divisor of n and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 6*l**2 + l**3 + 0 - 4 + 9. Let f be r(5). Solve 5*s - u - 16 = f, 2*s + 3*u - 6*u + 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -727793, -727790, -727785, -727778, -727769, -727758, -727745?\n\"Answer: a**2 - 727794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - j + 5*j = 0, -4*y = -5*j + 33. Let g = y + 18. Solve 0 = -2*o - 0 - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12\/(-8) - (-62)\/4 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 - (-60)\/(-1))\/((-9)\/(-14)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 21*h = -136 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1895, -3822, -5747, -7670, -9591, -11510, -13427?\n\"Answer: y**2 - 1930*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose -2*b - v = -9, -i*b - b + 16 = 2*v. Find r, given that 26*r**2 - 18*r**b + 4 + 41*r**2 - 28*r = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 108, -5 in descending order.\nAnswer: 108, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 8:52 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46195.09 litres?\nAnswer: 46195090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = -5*i + 42*q, 2002*i = 1999*i - 3*q - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 867104 and 1376.\nAnswer: 37285472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 7200*a + 7187*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(-u**2 - 2*u**2 + 5*u**2) - 3 + 3 - u**2 - 3 + 1 + u**2 - 6*u**2 as m*u + g + n*u**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1492\/(-182))\/(-2) - (-33 - -37). Let v = -4821\/1820 + d. What is the common denominator of 28\/5 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 26.00088. Round j to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f - 50 - 675 = 0 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(176\/33)\/8*(-150)\/40?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 6180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:17 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720271.\nAnswer: 7, 245753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6*n = -330. What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1334, 1336, 1338, 1340, 1342?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*a - 2*a + 29, -4*a + 20 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570698, -570024, -569350, -568676, -568002?\nAnswer: -567328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-753221)\/(-30))\/(-7))\/(18\/(-15)). Let l = u - 2988. What is the common denominator of 21\/10 and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 2 - 4)*(2*h - 2*h - h)*(-3*h + 4*h + 2*h) + (0*h + 2*h - h)*(h - 39*h - h) + h**2 + 1 - 1 as j + g*h + z*h**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**3\/6 + 29*r**2\/2 - r. Let p = 213 + -228. What are the prime factors of g(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/25)\/(14\/119*(2 - -15)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 + w + 39. Let s be z(0). Let r be s\/9 + (-1)\/3. Is r not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -s - 2*r, 3*s + 3*r + r - 29 = 0. Suppose 3*k + 19 = 3*u + 7, 4*u + 3*k = 44. What is the least common multiple of s and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36 + 28 = 0. Let c = 18 - g. Let f(j) = -9 + j**2 - 7*j + 4*j**2 - 7*j**2 - c. Let u(z) = z**2 + 3*z + 5. Calculate -3*f(d) - 7*u(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojyfyfffyfqyyffy. What is prob of picking 1 f, 1 y, and 1 j?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43451282 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -210 + 4?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**4\/i*i*i\/(i*i**(1\/2)))\/(i**(1\/9)*i*i**(1\/3)*i) assuming i is positive.\nAnswer: i**(37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 2100*f - 133380.\nAnswer: -5*(f - 342)*(f - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9346, 4, 2, -3\/13 in increasing order.\nAnswer: -9346, -3\/13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -100101011001110 (base 2) in base 3?\nAnswer: -222021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -35, 259, 669, 1195, 1837?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13809 - 27617\/2. Let b(s) be the second derivative of 8*s - 1\/12*s**4 + 0 - s**2 + o*s**3. Solve b(i) = 0 for i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - 101. Let t = n - -128. Let r(f) = -10*f + 2. Let v be r(-7). What is the highest common divisor of t and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23339, -23346, -23353, -23360?\n\"Answer: -7*z - 23332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-20) + -22*((-40)\/(-44) + -1).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4580.3887 + -4580. Let r = 0.0113 + c. Are -24 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/154 + 48\/(-112)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.90503 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 - 76) + 15 + (-18 - 0) + (-2 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.2 and 425.37038125.\nAnswer: 424.17038125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1)\/sqrt(11) + sqrt(14)\/(-1*sqrt(2)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 38*d**9\/9 - 577*d**5\/30 + 11*d**2 + 32. What is the third derivative of i(g) wrt g?\nAnswer: 255360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjzzgcjrrjrjgjc. What is prob of sequence rg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/25)\/(6\/(-15))*165\/495*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*v - 31*v - 5*n - 24, -2*v - 4*n + 26 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h**6 + 0*h**4 + 0*h**5 + 0 - 2\/3*h**3 + 1\/210*h**7 + h**2 + 0*h. What is the first derivative of x(r) wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26938 is divided by 129?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (26 + -36) - (1 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 235 = -119*i + 425 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 15. Let j(h) = -3*h**2 + 0*h**2 + 2 - q*h + 4*h**2. Let s = 16 + -13. Calculate j(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g + g + 2*g)*(0*g - g - 3*g) - 3*g**2 + 17 - 17 - 1 + g**2 + 1)*(-3 - 3 + 5 + 1 + 5 - 4 + (-2 + 3 + 1)*(-1 - 1 + 0)).\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let z = 10 + -3. Suppose -s*a - 3 = -z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(-8)\/20*-20. Let h = -49 + 28. Let x = j + h. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -33, -28, -21, -12, -1, 12?\n\"Answer: d**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -16. What is h in 0*h - 4*h**w - 4*h + 14 + 4*h**3 - 10 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -22*s**3 + 31*s - 119. Let d(k) = 10*k**3 - 17*k + 60. What is -13*d(n) - 6*t(n)?\nAnswer: 2*n**3 + 35*n - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let f(t) = t - 2. Let n(d) = 12*d**2 + 12*d - 24. Let h(p) = -60*f(p) + 5*n(p). Calculate l(h(o)).\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbgc. Give prob of picking 2 q and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 h, and 1 b when four letters picked without replacement from arqrrhhbhrqqhahhh.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/6 - 68*a**5 - 7930*a**4 - 182240*a**3\/3 - 179560*a**2 - 2169*a. Factor i(j).\nAnswer: -5*(j + 2)**2*(j + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39245.00144185 - -39245. What is z rounded to 5 dps?\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1059627*v + 1142630 wrt v?\nAnswer: -1059627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -581d2 (base 15) in base 2?\nAnswer: -1000100011111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/10 - (-4)\/10. Let a = 2 + c. Factor a*s**2 + 4*s**2 - 2 - 6*s**2.\nAnswer: 2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 + 15.31. Let z = t - 11. Let r = -0.8 + 1.1. Put z, r, 0 in descending order.\nAnswer: z, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71\/7? (a) 0.1 (b) 2 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.88 take away -93986067?\nAnswer: 93986069.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -5, 0, -3 in increasing order.\nAnswer: -7, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -6 - -19 - (21 + 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*s + 28. Suppose 8*g - s*g + 140 = 0. What is the common denominator of -31\/9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -7 + (-2 - -5). Let v be (5\/15)\/((-5)\/6). What is the third smallest value in 3\/5, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 168*d**2 - 762*d - 2212.\nAnswer: -2*(d - 79)*(d - 7)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*b + 14, -3*n - 2*b + 4*b = -43. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuzzzuuuzuuuazuz. Give prob of picking 3 z and 1 a.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 55, 84, 125, 178?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 2. Let i = 26 - c. Let l be (-6)\/i + -8 + 2. Put l, 5, 4 in decreasing order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -808 (base 15) to base 8\nAnswer: -3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 545 - 336. Suppose 12*b + 2*b + 1344 = 0. Let f = b + 115. Calculate the highest common factor of r and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128744282.\nAnswer: 2, 29, 61, 36389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45517 + -5?\nAnswer: 45512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 441, 1, -2\/5, 4\/19, 0, 8.\nAnswer: -2\/5, 0, 0.1, 4\/19, 1, 8, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.3 + 12.3. Which is the closest to 2? (a) j (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 10630603?\nAnswer: -10630610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-22 + 9 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -335*c**4\/4 + c**3\/3 + 83*c**2 + 233. What is the second derivative of w(r) wrt r?\nAnswer: -2010*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 2:59 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 33626.6 to the nearest 100.\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1707283264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-3 - -13) + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 7:14 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + (-42 - -19) + -5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from gdvmggd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/10 + -6 + 1316\/10. What is the greatest common divisor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 9*d - 13. What is w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*s**3 + 40*s**3 + 129*s**3 - 3*s**3)*(3 - 49*s + 9 - 14) to t*s**2 + b*s**4 + v + w*s + o*s**3 and give b.\nAnswer: -8624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v**3 + 715*v**3 - 71 + 73 as r + l*v**3 + u*v**2 + n*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-2) - 15)\/(-21)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/21440 and 79\/16080.\nAnswer: 64320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22442314 + -13?\nAnswer: 22442301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(1\/(-27)*-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 115 = -515. Suppose 2*t - 3*t = 0. Suppose t = o + 2*r - 25, -3*r + 7*r = o + 5. What is the greatest common divisor of o and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 52*u + 0*u**2 + 53*u + u**2 - 4*u**3 - u**4 to a*u**4 + j*u + g + y*u**2 + f*u**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73219 and 6205.\nAnswer: 366095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*i - 15*i - 2010. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-21))\/((-147)\/(-126))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*l + x, 5*x - 3*x + 6 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 89, 186, 287, 392, 501, 614, 731?\n\"Answer: 2*g**2 + 91*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893935 is divided by 2403.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60341033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**4 - 10 - 2*y**4 + 2 wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 - 21*g**2 - 2*g**3 - 5*g**4 - 2*g + 10*g**2 as w*g**3 + v*g**2 + m + a*g + q*g**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7320, -7303, -7286, -7269, -7252?\n\"Answer: 17*c - 7337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -72.64. Let t = d - 4.36. Let k be ((-2)\/3)\/(32\/(-60)). Put k, 0.1, t, 4 in decreasing order.\nAnswer: 4, k, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -0. Let s = 7792 + -23375\/3. What is the closest to 1 in 1\/4, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -12012021?\nAnswer: 12012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 10*m + 18, 0 = -2*h - 4*m + 144207 - 144195 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -18. Let s = q + -32. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834818466.\nAnswer: 2, 3, 19, 41, 178609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/(-15))\/((-4)\/130). Suppose 3*u = 5*j - 145 - 21, -5*j = 2*u - o. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411700 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800) - sqrt(50))*-4 + (sqrt(50) + (-6*1*sqrt(50) - sqrt(50)) - sqrt(50)))**2.\nAnswer: 36450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + p + 176 - 134, -5*w + 2*p - 36 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - p - p**2 + 2*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*f = -28, 0 = 3*m - f - 5 - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -385 - -253. Let f = 136 + d. What is the fourth biggest value in 0.3, f, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34638 divided by 17319\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -67. Solve -r*s + 20 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128915 and 7705?\nAnswer: 8637305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 182495, 182493, 182491?\n\"Answer: -2*s + 182497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Let b be l(0). Let m be (b - (15 + 6)) + (2 - 0). Is m at most as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 - -77. Let a(t) = -t + 123. List the prime factors of a(u).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 - 0.1. Let b = 21 + -13. Let u = b - l. What is the closest to 0 in 5, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - d)*(3 - 2 + 0)*(7 - 5 + 6)*(-1 + 2 - 2) to b*d + y and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + o + 269*o**2 - 257*o**2. Let c(h) = 13*h. What is t(c(w))?\nAnswer: 2028*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7 - 4*d**2 - 2*d**3 + 0*d**3 + 2*d + 0*d - 2*d**2 - 7*d. Let u = 8 - 12. What are the prime factors of m(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(30) + sqrt(210)\/(sqrt(21)\/sqrt(3)) - sqrt(30)) + -2*sqrt(1470)))\/(1*sqrt(864) + (sqrt(42)\/(sqrt(14)\/sqrt(2)) - sqrt(6))).\nAnswer: 65*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -122136 (base 11) in base 12?\nAnswer: -93943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159801 is divided by 1666?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1257.7 - 1307.636. Let q = -50 - b. Let w = 0.064024 + q. Round w to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522804271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.0978 rounded to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7281460 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 9*c**2 + 11*c + 6. Let y be j(-10). Let g be ((-18)\/(-4) - 3)\/((-2)\/y). Solve 2*l - 6 = -g*w, -w + 19 = -2*l - 3*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 10*t**2 + 11. Let b be y(10). Suppose 10*u = b*u - 259. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6914082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77187685 - 84134565791\/1090. Let d = m - -124\/109. Find the common denominator of 2\/11 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmf. Give prob of picking 2 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ab - -472?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (505\/70 - 10\/(-35))\/(27\/18). Solve -g*u - 5*v = 45, -2*u = -5*u + v - 23 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 2220776330941.\nAnswer: 2220776330937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399440.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**3 - 6127*r**2 - 3129365*r - 1042441 = 0.\nAnswer: -1021, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 207194951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 239863 and 239866 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 979962635 and 841?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**4 + 3991*p**3 - 1 - 3*p - 3988*p**3 - 31*p**2 - 6*p**4 to the form x*p**4 + t*p**3 + g*p**2 + b*p + c and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2664534?\nAnswer: 2, 3, 444089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -117624 divided by 87\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2673 + -1779. Calculate the remainder when m is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -2\/3 (b) -0.1 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 29 in increasing order.\nAnswer: 2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, -9\/2, -0.1, 52, -0.7, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 162*a**2 - 39*a - 163*a**2.\nAnswer: -a**2 - 38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1485207250 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42150403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -279 - -274. Let u(f) = 3*f + 6. Let a(r) = 1. Let b = -106 - -107. Determine b*u(d) + t*a(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 - 1 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239855?\nAnswer: 5, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.3, -2\/7, -8, -1 in descending order.\nAnswer: 9, -2\/7, -0.3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 13*f - 7. Let z(i) = 2*i**2 + 14*i + 6. Determine -6*g(r) - 7*z(r).\nAnswer: -2*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255767.\nAnswer: 255767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(12)*-5 + sqrt(3) - sqrt(15)\/(4*sqrt(5)))**2 - ((sqrt(48) + sqrt(144)\/sqrt(3))\/sqrt(2))\/(sqrt(32)\/sqrt(64))).\nAnswer: -16*sqrt(3) + 4107\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44\/(-28))\/(1\/(-7)). Let b = 14 - c. Solve b*g - 2 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, y: 2, f: 1, b: 3}. Give prob of picking 3 b and 1 f.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n. Let z(a) = -5*a. Let u(f) = -11*p(f) + 6*z(f). Let j(l) = -2*l - 3. Let w(o) = 3*o + 4. Let d(g) = 4*j(g) + 3*w(g). What is d(u(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6662837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*c - 10, 2*c - 4 = u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51\/8 in -5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + d + 3*d**3 - 3*d**3 - 6 - 3*d**2 + 1 as b + m*d + k*d**3 + w*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*c**3 - 17 + 601*c**3 + 37 - 19.\nAnswer: -7*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.8 - -11.88. Let z = j + -0.08. Which is the second biggest value? (a) -3 (b) z (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 12*u**2 - 131*u + 1445. What is m(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 752 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17331637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/7)\/(4805\/(-6727)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 94 = -h. Suppose -a = -h + 33. Solve -5*z - 6 = 2*i, 0*z + 4*i = z - a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1934, -1934, -1830, -1568, -1094, -354, 706, 2140?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.3, -3136, -1.18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2900414?\nAnswer: 2, 11, 131837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 16 (b) -5 (c) -0.22 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22086.1782us?\nAnswer: 0.0000002556270625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263835 is divided by 43951?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 20975 = 21389 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/30 + (-86)\/(-10). Let o(v) = -v**2 + 10*v - 13. Let n be o(t). What is the closest to -2\/7 in -3, -5, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 3 = 24*m. Does 6 divide 14\/(-12)*(-27)\/m*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -9cd3d?\nAnswer: 9cd3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -822, -8353, -28808, -68649, -134338, -232337, -369108, -551113?\nAnswer: -784814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3179.4 rounded to the nearest ten?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11691*t + 9539866. Determine g(816).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*m - 12, 10*a + 4*m + 6 = 12*a. Solve 15 = 5*t - 4*v, 0 = -a*v - 2*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 8*j - 16*j. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b**2 - 19*b + 19. Let i(h) = -11*h**2 + 29*h - 29. Let p(v) = 5*i(v) + 8*l(v). Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2315?\nAnswer: 2\/2315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8*g\/g**3*g)\/(g**(-5\/3)*g**(1\/8))*((g\/(g**(1\/6)*g)*g)\/(g\/g**(-9)))\/(g**(1\/5))**(-30) assuming g is positive.\nAnswer: g**(43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -850, -857, -872, -895, -926?\n\"Answer: -4*w**2 + 5*w - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -q - 3*d, q + 2*d + 8 = d. Let h = q + 11. Solve -13 = h*f - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2 = -0*a - 5*l, -3*a - 4 = 4*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 14 - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -5*p**3\/6 + 8*p**2 + 6*p + 19. Let k(n) be the first derivative of v(n). Differentiate k(i) with respect to i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 1, j: 2, b: 1, z: 1, a: 1}. Give prob of sequence bazd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 g when three letters picked without replacement from {t: 6, q: 1, v: 4, a: 3, g: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvvrziiizzvr. What is prob of picking 2 v and 1 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2760 is divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -83 - (-42 + 30 - (-17 + 0)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18.6, -1.64, -1\/8?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 22 = 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 103*s**3 - 13*s**2 + 22*s - 8. Let z(a) = -69*a**3 + 9*a**2 - 15*a + 5. Let v(d) = -5*t(d) - 8*z(d). What is the third derivative of v(w) wrt w?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22011197 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2905 * 4\nAnswer: 11620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/24 - 5*s**3\/6 - 2*s**2. Let g be t(-2). Put 3, g, 5 in descending order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 + 4*p - 4. Suppose -4*l + 16 = s, 0*s = -2*l + s + 2. Let y be z(l). Let u = -433 + 397. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i + 0*i)*(0*i**3 + 3*i**3 - 2*i**3).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 109*t - 121. Give w(27).\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p)**8\/((p*(p\/(p*p**4\/p))\/p)\/(p**(-1)*p*p)))\/(p**4\/p*p*(p**6*p)\/p*p*p**6*p*p*p**(-1\/8)) assuming p is positive.\nAnswer: p**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(7 + -14) + 5. Solve -7 = -g*p + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 2, 65 in descending order.\nAnswer: 65, 2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-14)\/28*22) + (104 - 16\/(-4))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/2 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 201672882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.55260933 to 2 dps.\nAnswer: -14.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309\/5 bigger than 463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35464 and 18236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418 - -652. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 3)*1\/(-4). Let d = 1 - t. Let n(r) = r - 7*r + 6*r - 2*r**d. Let o(a) = -a**2. Calculate n(o(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1523*s + 39147. Calculate a(-26).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 5, 13, -288, -3, -12.\nAnswer: -288, -12, -5, -3, 5, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 0*j + 3*z + 132 = 0, -2*j + 14*z - 74*z + 7 + 19 = 0 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-33) + 2\/(-11). Let y = -0.4 + -0.1. Let c be -6*((-2)\/(-2))\/(-33). What is the closest to -0.1 in m, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60707 is divided by 1962.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.86 + 0.56. Let g = d - -0.58. Let y = -22.7 + g. What is the closest to -1 in y, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23743 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.4 + 77. What is the nearest to 1 in 2, g, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a**4 - 1 + 25*a**2 + 3*a**4 + 2*a**4 + a - 15*a**4 as s*a**3 + h + m*a + p*a**4 + w*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11383.32 weeks?\nAnswer: 6884631936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -22*g + 16. What is the smallest common multiple of 2 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 4*s + 7. Suppose 21 = -5*w + 14*v - 17*v, 0 = 4*v + 8. Calculate p(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*h + 25 - 20 + 29.\nAnswer: 709*h + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5138405 * -124\nAnswer: -637162220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200\/14495169 or 1?\nAnswer: 200\/14495169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*v**3 - 61*v**2 - 36276 wrt v.\nAnswer: 45*v**2 - 122*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36875646?\nAnswer: 2, 3, 29, 41, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1409054, -1409024, -1408994, -1408964, -1408934, -1408904?\n\"Answer: 30*o - 1409084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(-1 + (1 + sqrt(1584) - sqrt(1584)) + sqrt(1584))**2*3 + 5)*1.\nAnswer: 14266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 376*(-1 - 51\/(-34)).\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 + y**2 - 1. Suppose 0 = 40*h - 37*h + 3. Determine i(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 35*i**2 - 8*i - 11. Let t be u(5). Suppose t + 1870 = 6*m. List the prime factors of m.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -3)\/((-1)\/(-1)). What is the common denominator of -22 and (6\/z)\/((-9)\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2*r**3 - r**2)*((-2*r + 4*r + 0*r)*(1 - 3 + 3) - 3*r + 3*r - 3*r - 4*r + 4 - 2*r + 4*r).\nAnswer: -6*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*b**3 + 16*b**3 - 740*b**2 - 191*b**3 + 2192*b**5 wrt b.\nAnswer: 131520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16898 is divided by 1089?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 278. Let h be q(12). Solve -5*i - 5*x + h*x = 15, 0 = 3*i + 5*x + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l - 4. Let z be j(-6). Let w = -43 + z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000313358 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2475006 - -8)\/((-2)\/16). Suppose -3*q = 4*m + o, 3*q - 4*q - 6599996 = m. Round q to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5633*k - 8619. Is 21 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 536*i**2 + 59680*i - 1376000.\nAnswer: -4*(i - 200)*(i - 20)*(i + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23044 - -23044. Suppose h + 3\/4*i**3 + 15\/2*i - 21\/4*i**2 = 0. Calculate i.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195790 + 194580.43. Round m to the nearest 10.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 35. Suppose -2*f + 582 = 156. Let r(t) = -f*t - t**2 + 2*t**2 + 108*t + 105*t. Determine r(g(s)).\nAnswer: 4*s**4 + 140*s**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (31 - (12 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 104. Suppose -40*v + 21450 = -b*v. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 6*n + 2. Let t be o(-5). Let z = 18.4 + -3.4. Let g = -10 + z. Which is the smallest value? (a) 2\/3 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -33*x**5\/4 + 125*x**3\/3 + 7*x - 6. Find the second derivative of a(j) wrt j.\nAnswer: -990*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, 6, -5.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1074309*d**3 - 343249?\nAnswer: 3222927*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.343603 nanometers to centimeters.\nAnswer: 0.0000009343603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(209) - (sqrt(209) + (-4*-2*sqrt(209) - sqrt(209) - sqrt(209))) - 4*1*sqrt(209))\/(sqrt(110)\/(sqrt(40)\/(sqrt(36) + sqrt(4)))))**2.\nAnswer: -20*sqrt(19) + 491\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-27 + -4)) + 184 + -199.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 11 = -3*a - 0*l, -3*l = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 13*m**2 - 9*m + 91. Give z(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145202144 by -6.\nAnswer: -72601072\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u*((u\/(u**(2\/9)\/u))\/u*u)\/u)*u*u*u*u*u**(-5)\/u)\/(u\/u**0)**(4\/3) assuming u is positive.\nAnswer: u**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/93, -1, -5, 2, -473?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 37791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*t - 1357 + 1357)*(1 + 0 + 0)*(1 - 4 + 4) to d + f*t and give f.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726922?\nAnswer: 2, 199, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)\/i*i**21\/i assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 16 = a, -105*a = 1605*f - 1601*f - 404 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31153007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-288)\/(-216))\/(28\/(-6)))\/(2\/7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 514, 943, 1234, 1195?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 9*i + 14*i + 6*i - 2*i.\nAnswer: 9*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 + 42*w**2 + 21*w + 16. Give j(-8).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*a = 6, -l + 3*a - 22 = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -1, -291 in descending order.\nAnswer: 7, -1, -3, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1554557?\nAnswer: -1554560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*b - 3882 + 3542. Let r(f) be the third derivative of -125\/3*f**3 + 1\/480*f**6 - 25*f**2 - 1\/8*f**b + 0*f + 25\/8*f**4 + 0. Factor r(y).\nAnswer: (y - 10)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-4900)*-15*-7*12\/504\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Find the first derivative of u + c**2 + 0 - 2*c**3 - c**2 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9062 + 7?\nAnswer: 9069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5520\/13524*77\/(-55)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.8, 52\/3, -0.04, -15, -0.3, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1082564 and 3\/1804.\nAnswer: 11908204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3368 + -2723. What is the smallest common multiple of b and 129?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27091723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 6. Let k be ((-10065)\/(-396) + -26)*4\/14. Let v = -3.1 + 3. Which is the nearest to v? (a) 0.1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 2, e: 14}. Give prob of picking 3 e and 1 q.\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**18))\/((z*z**37*z*z*z)\/z)*(z\/(z*z**(13\/5)*z))\/(z**(-3\/11)*z))**(-1\/4) assuming z is positive.\nAnswer: z**(362\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 75103*v + 675931. What is q(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357731706?\nAnswer: 2, 3, 43, 1386557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2760 divided by -2.\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466 is divided by 485.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*d*g**3 + 7057*d*g**2 - 10*d*g + 57*d - g**2 - 8*g - 3 wrt g.\nAnswer: 444*d*g + 14114*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*h**2 + 507*h**2 + 92*h**2 - 61*h**2 + 73*h**2 - 18*h**2.\nAnswer: 681*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 5*y**2 - y - 5. Let o be g(6). Solve -3*s - 2*s = -o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -791*h**2 - 8*h + 71 + 29*h + 792*h**2. Let b be p(-17). What is the third biggest value in -3, b, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 18 = -4*c. Let r be (-18)\/(-5) + 2\/5. Suppose -2*d - c*f - 18 = -3*d, 102 = r*d - 2*f. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -10 + 4. Solve -8 = -2*h + 2*k, 5*h - h = -3*k + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 2*g = 13500. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(6\/54*51)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c + 19 - 10 + 30*c - 72 - 13*c.\nAnswer: c - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 2 - 58 = 0. Suppose 6 - 12 = -4*j - 2*y, -4*j - 12 = -z*y. Which is bigger: 153 or j?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3020 (base 5) to base 9.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 8*s - 5. Let j(x) = -59*x - 581. Let p be j(-10). Give n(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*g - 38178000 = 157*g. What is g rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 34*v**2 - 26*v + 7. Let x(z) = -11*z**2 + 8*z - 2. Calculate -2*q(d) - 7*x(d).\nAnswer: 9*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/26*-1 + 16760\/65?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-3) + (-5)\/(-15). Let n be i\/8 - (-6)\/8. Let q be (-10)\/5 + -4 + (4 - (2 - 8)). Solve 5*c + 5 = -h, h + q = -4*c + n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*k - 13, 3*k + 2*a = -2*k + 12. Let i be 5 + -2 + (3 - k). What is the least common multiple of 9 and i\/22 + 168\/44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -495, -0.35 in ascending order.\nAnswer: -495, -2, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002726263 rounded to five decimal places?\nAnswer: 0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 3, f: 4, l: 1, k: 5, b: 6}. Give prob of sequence rrp.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*n + 49*n - 5120880. What is n rounded to the nearest 10000?\nAnswer: -2560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -18*n**7\/7 - 23*n**4\/6 + 24*n + 1. Find the third derivative of q(y) wrt y.\nAnswer: -6480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 1.01. Let n = -3609 + 3595. Which is the third smallest value? (a) w (b) -3\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13528*i + 689932. Determine g(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9833563 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - -110. Suppose 0 = 3*f - m*f - 54. Let i be ((-12)\/f)\/((-1)\/1059). Round i to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 3. Let i(w) = w**3 + 5*w**2 + 3*w - 3. Suppose 7*r - 2*r - 20 = p, 4 = r - 5*p. What is the smallest common multiple of r and i(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -5, -3, -20\/17, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3119*b**4 + 2441*b**2 - 4873*b**2 + 2433*b**2 - 1 + b**4 - b + b + (-2*b - b + b)*(0*b**2 - b**3 + 0*b**2).\nAnswer: 3122*b**4 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13944500 to the power of 1\/2, to the nearest integer?\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15258 - -27691. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 2*w**2 + (-2 + w + 2)*(-4*w - w + 3*w))*(-9*w**2 - 3*w**2 - 14*w**2).\nAnswer: 104*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 - 1897*d**2\/6 - 77873*d\/3.\nAnswer: -d*(d + 86)*(d + 1811)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2. Suppose -3*n + 4 = -5. Let k(j) = -j**5 - j**4 + 3*j**3 - 3*j**2. Let d be (-7)\/4 - 2*(-6)\/16. Let t(v) = d*k(v) + n*z(v). Factor t(o).\nAnswer: o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5038\/3021 + -1\/1007. Let z(v) be the first derivative of -v - v**2 + 3 + r*v**3 - 1\/4*v**4. What is z(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*q - 2*g - 2318 = -g, 91137 = -3*q - 4*g + 91072 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.673931735 rounded to three decimal places?\nAnswer: 1.674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s - 2. Let j be n(-2). Let o = j + 2. Factor -8 - 4 + 12*h**3 - 12*h - o*h**3 - 3*h**4 + 9*h**2.\nAnswer: -3*(h - 2)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/37524 and 73\/23640120.\nAnswer: 23640120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10367 - 6076. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 18. Let h = 7 - m. Let r = -7.3 + 7. What is the third biggest value in -2\/17, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/32595258 and 33\/826.\nAnswer: 228166806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p. Let o(i) = 91953*i. Calculate o(a(q)).\nAnswer: 1103436*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 50. What is the common denominator of 151\/36 and 158\/x*-1 - -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from gfgggfgffggf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 75119.\nAnswer: -30047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263.24 - 263.14. What is the third smallest value in 5\/3, 2, n, -1\/149?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150555 divided by -5?\nAnswer: -30111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:00 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26594564135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 1 = -4*i, 23*i + o + 4 = 24 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -831 - -343. Let s = -493 - f. Let x = -4 - -4. What is the biggest value in s, 11, x?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(360))\/sqrt(8) + -4.\nAnswer: -3*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -l - 3*l. Let v(x) = 2*x**2 - 3*x**2 + x + 2*x**2. What is the units digit of v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 20 = -5*j. Suppose -w = 5*x - j, 0 = 4*x - 0*x. Suppose 0*k = w*c + 2*k - 27, 0 = -4*c - 2*k + 22. Solve c = -2*q - 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (160 - 20*f - 160)*(2*f + 1 - 1) - 122 - 24*f**2 + 122 - f**2 + 2*f**2 + f + f in the form u + y*f + l*f**2 and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/118080 and -137\/35424.\nAnswer: 354240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - 2*j - 2 - 5*j**2 + 3 + 0 as k*j + n + l*j**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3677 divided by -5\nAnswer: -3677\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 11*s + 61 + s**2)*(0*s + 0*s + 2*s).\nAnswer: 2*s**3 - 22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, 1 z, and 1 f when four letters picked without replacement from {c: 1, z: 7, x: 3, u: 4, f: 1}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 296\/(-74)*24*28\/114240\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 3451?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w + 2 + 7*w + 4*w**2 - w**3 + 5*w to f*w**2 + h*w + y*w**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*((-9)\/(-3))\/(-3). Suppose 372 = 5*q - 4*r, d*q + 5*r - 456 = -111. Calculate the remainder when q is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b + 1510. Suppose -b = 4*x + 134. Let d = -61 - x. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 + 53\/((-265)\/60). Let u(h) = -2*h**3 - 8*h**2 + 7*h + 4. Let s(k) = k**3 + k**2 - k - 1. Calculate i*s(g) + u(g).\nAnswer: 4*g**3 - 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:28 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -56, -117, -202, -311?\n\"Answer: -12*h**2 - h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 29 = -4*v, -2*v + 19*o - 13 = 22*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqerxxq. What is prob of picking 2 q and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -9, 32, -83, 2\/13.\nAnswer: -83, -9, -3, 2\/13, 0.5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 40.76219 grams?\nAnswer: 40762190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) 1 (d) -2 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 18*h - 9. Let p = 0.034 + 0.366. Put h, p, -4\/7, 1\/8 in descending order.\nAnswer: h, p, 1\/8, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/389 greater than -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 170744148, 341488293, 512232438, 682976583?\n\"Answer: 170744145*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 477 and 660483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 133541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163390230 to the power of 1\/3, to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21140023 + -1111?\nAnswer: -21141134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 38*t - 41*t + 18, 3*v - 12 = -2*t. Which is the nearest to 1? (a) -0.029 (b) 3 (c) v (d) -1\/111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 15. Let x(n) = -2*n + 32. Let b be x(8). Suppose -b*f + q*f = -3. What is the biggest value in -2, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/29)*g**25 assuming g is positive.\nAnswer: g**(726\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/10 + o**4\/6 - o**3\/2 + 2*o. Suppose -1336*r - 307 = -1427*r + 785. What is the least common multiple of r and a(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -39*t - 8. Let n(i) = -i + 8. Let l be n(12). Let v be x(l). Suppose c = -4*d + 232, 2*d + 4*c + 32 = v. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01198601 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*b - 47, 4*s + 5*b = -24*s + 27*s - 46 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 1\/42*i**4 + 0*i**3 - 3*i**2 - 1\/42*i**5 + 0 + 1\/140*i**6 + 0*i. Factor c(r).\nAnswer: 2*r*(r - 1)*(3*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/9*g**2 + 25\/9*g**3 + 4\/9*g + 0 + 3*g**4.\nAnswer: g*(g - 1)*(g + 2)*(27*g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 7*m**2 + 4*m - 7. Suppose -2*o - 18 = -2*x, -3*o + 0*x + 4*x - 30 = 0. Let l be w(o). Solve 17 = 3*z + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 25*k**3 + 3*k - 3. Give g(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1\/5801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(20 + 15 + -34)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 5200*l - 170*l**3 - 5200*l.\nAnswer: -170*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(39 - 39 - 12*r**5) + (3*r**2 - 5*r**2 + r**2)*(-2*r**3 - 5*r**2 + 5*r**2).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p*p*p*p*p\/(p\/(p*p\/((p\/(p**(-1)*p))\/p))*p)))**(-9\/4)*(((p\/(p*p\/((p\/p**(1\/10))\/p)*p))\/p)\/p)\/p*(p**(-3\/2)\/p*p)\/p)**(1\/3) assuming p is positive.\nAnswer: p**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {e: 2, r: 2, t: 4, b: 4, c: 4, d: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least as big as -3\/132583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1046*m**2 - 13*m - 14. Let s be v(4). What is the greatest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 685926?\nAnswer: 5487408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -45*c + 844. Calculate r(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360)\/(-20))\/(5\/(15\/6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 26*q + 7. What is the smallest common multiple of 84 and b(-6)?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = -25. Suppose -u*w = -s - 7*w - 3586, -5*s + 2*w - 17918 = 0. Is -1 - (s\/20)\/4*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/11 (b) 0 (c) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4 - 0)*(-3)\/(-4). Solve 3*j = 5*o - o - 1, -k*j + 1 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -748*r + 44772. Determine h(59).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 117?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/86455857?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -360, -763, -1168, -1575, -1984?\n\"Answer: -f**2 - 400*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 + 170*x - 373. Let o(w) = -5*w**2 - 136*w + 373. Give 4*n(u) + 5*o(u).\nAnswer: -u**2 + 373","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 17.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 + b - 5. Is 35 a factor of v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 13*n - 13. Let a(v) = -v**2 + 6*v + 6. Give -13*a(f) - 6*l(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 368521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00291842908 rounded to 6 decimal places?\nAnswer: -0.002918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, g: 2}. Give prob of picking 4 j.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 1493. Let t be q(-70). Is t greater than 1352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*30\/(-10)*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*n + 1394 = 776*n. Suppose -8\/3 - n*h**2 + 4*h + 1\/3*h**3 = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 7 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 509653\/630 + -4048\/5. Find the common denominator of 35\/324 and x.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 5, -38, 3 in decreasing order.\nAnswer: 5, 3, -2, -11, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/232 and -31\/1856.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89972.775ns to hours.\nAnswer: 0.0000000249924375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 3940, 14167, 34080, 66907, 115876?\nAnswer: 184215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1099*o**3\/2 + 1224593*o**2\/4 + 975*o = 0. What is o?\nAnswer: -1\/314, 0, 3900\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -29. Suppose -q = -j*r + 104, 2*r + 3*q - 27 = 35. Calculate the highest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1200116 + 19*z**2 + z - z - 1200116.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47310*y**2 - 1491*y + 479263611 wrt y.\nAnswer: 94620*y - 1491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 3 = -19*w. Suppose -v + 119 = 3*c, 2*v - 129 = -w*c - v. What is the greatest common divisor of 722 and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 + 18\/(-14). Let n = -1\/5 + y. Let b = 23\/15 - 1\/30. What is the third smallest value in b, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2 + 3. Let v be f(2). Let t be (-1 - 4\/(-2)) + v\/7. Let a be t - (0 + 1 + -1 + -2). Solve 3*o + a*c = 4*c - 22, 4*o = -c - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 120 = 43. Let q(s) = 3*s + 24. Calculate q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 18 = 23*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 15*u + 37. Let k be t(17). What is the nearest to 0.02 in -2\/3, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -454\/409 or 317\/6?\nAnswer: -454\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:18 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(12)*5 + sqrt(12)) + -2 - 3*(sqrt(13) - sqrt(13)*-2)*3)**2.\nAnswer: 322*sqrt(13)\/3 + 337117\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 k when four letters picked without replacement from kkvvvvkv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/12 and -11\/13669182.\nAnswer: 27338364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548765560?\nAnswer: 2, 5, 7, 293, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 58*u**2 + 1110*u - 1110. Give h(73).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000111 - 101011?\nAnswer: 101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 6*n**2 + 2*n + 8. Let j(w) = 315*w - 217. Calculate the remainder when j(1) is divided by t(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(44)*-4))\/(((sqrt(100) - sqrt(100)*1) + sqrt(100))*6).\nAnswer: -sqrt(2)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -104, -202, -300, -398?\n\"Answer: -98*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2871657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**3 + 12237*u**2 + 12545712*u + 136526148 = 0.\nAnswer: -2034, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3699, 3\/2?\nAnswer: 3699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -829168 - 54862 = -138*n + 301252. Which is bigger: 8587 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2) + -1)*(0 + (-252)\/(-54)). Let f be (-69)\/15 - 3\/(-5). Let d(c) = -2*c + 6. Let o(w) = 4*w - 11. Give f*o(h) + v*d(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.85 + -1.85037. What is i rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -135546, -271085, -406624?\n\"Answer: -135539*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -9\/8, 0.1 in increasing order.\nAnswer: -9\/8, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -200 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, e: 3, s: 2, v: 1}. Give prob of sequence rses.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h = -12*h + 68 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 171 = -53*q - 54 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1404.5 - 1405. Let g = -6.9 + 7.4. Which is the nearest to 1\/3? (a) j (b) g (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 6*d - 6. What is g(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3627325 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9359 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 2*z - 3. Let i(a) = 4*a**2 - 3*a - 4. Calculate -4*i(j) + 5*r(j).\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29301823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:56 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -7. Let l(t) = 0 + 5 + 1 + 2*t**2 + t + 0. What is the tens digit of l(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 5*s**2 - 5*s + 7. Let r be p(-6). Let v be (-14 - -14)\/(-4 - -4 - -1). Solve v = -4*c + r - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(-2 + sqrt(1008))*-5 + 4.\nAnswer: -720*sqrt(7) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18272510, -36545010, -54817510?\n\"Answer: -18272500*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -42. Let y(z) = z**2 - 2*z - 5. Let u be y(o). Suppose 4*g = 3*t + 1697, 2*g - t = -u*t + 838. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 9:04 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9675*n - 27. Let o be l(-1). Let r be 2\/(-9) + (-11)\/(o\/(-56)). Which is the closest to r? (a) 2 (b) 0.06 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 15 = 4*q, -18 = 3*h - 3*q. Let j be -8*(-18)\/4 - h. Suppose 7*y - 380 + j = 0. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16957878 divided by 21\nAnswer: 807518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 27 - 7. Solve 10 = -2*b - c, c + 4 = -y*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-4743)\/324) - 4\/(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14436 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/7, -11, -1\/3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 + 3) - (-6)\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148776 divided by 6.\nAnswer: 24796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -641\/21, -4, 29?\nAnswer: -641\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (0 - (5 - 1)). Put c, 2, -1 in descending order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzdzgznzznzgzg. What is prob of picking 1 g, 1 d, and 2 n?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + -0.67090389.\nAnswer: -1.37090389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, -172, 1 in increasing order.\nAnswer: -172, 1\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**4 + 35*r**3 - 20*r**2 - r wrt r?\nAnswer: -72*r + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 105.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/9 and 65\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -94, -3, -0.06, 3 in descending order.\nAnswer: 3, -0.06, -3, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 22 - 8*m)*(-74 - 123 + 35 - 3 - 2 + 3 + (0 + 3 - 1)*(-2 + 0 + 0)) as y*m + d and give y.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -2\/3, -3\/37, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 607?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y + 32. Let m be f(0). Let q be (-3)\/4*m\/(-18). Let i(c) = -c**2 + 14*c + 16. Let w be i(15). Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192077*j**2 - 169619 with respect to j.\nAnswer: -384154*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n + 17 - 17 - 19*n + 38*n.\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45316 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m - 26. Calculate t(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 1. Let t be g(1). Let y = 113 + -73. Suppose 4*j = -5*o - 0*o + y, -5*o - 5 = -t*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 11. Let z be d(-5). Suppose z + 2 = 3*x. Solve 3 = 3*j, -x*o - 3 = 2*o + 5*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3309782747.\nAnswer: 3637, 910031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89035\/7 - -53064153\/4172. What is the common denominator of 25\/144 and p?\nAnswer: 21456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9548 - 1.85481. Let b = 17 - 15.9. Let x = b - d. Round x to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25712, 14\/9, 5, -5, -0.5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wevvzwv. Give prob of picking 1 e and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6657, 27682, 62719, 111768?\n\"Answer: 7006*s**2 + 7*s - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-2 + (-2)\/(-1)). Let x = -1046285\/11 - -95052. Let j = x - -65. Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717.6 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*12\/8 - -155. Suppose -d + 506 = 5*a, -3*a - 3*d + t = -154. Let q = a - 55. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 5*u + 35, -31 = -4*q - 3*u. Suppose -4*f - f - q = 0. Are f and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31432 and -2462.\nAnswer: 77385584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5071*r - 70551. Calculate a(-14).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/42 and 5370\/(-1449) + 6\/69.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:08 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35971.3 decades in millennia?\nAnswer: 359.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 4\/(28\/(-99))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*j + 7, -26*j + 23*j - 42*l - 561 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1219, 2975, 4725, 6475, 8231, 9999?\nAnswer: 11785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 176164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 8. Suppose 0*o = 2*o - 360. Calculate the highest common divisor of v and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 35*u = -36*w + 34*u + 249, -5*w + 6*u + 83 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10667.4 - 9314.6?\nAnswer: -19982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-179184)\/32)\/1*16\/(-6).\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1936752 and -149\/3768.\nAnswer: 1936752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -65. Let i = l + -6. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.976 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x**5\/5 - 1702494*x**4 + 53913201*x**3\/5 - 60534276*x**2\/5 + 3783396*x = 0. What is x?\nAnswer: -315283, 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 2 i when four letters picked without replacement from {g: 1, i: 2, h: 2, x: 2, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 36*o + 33*o - 68*o. Sort -6, -35, o in descending order.\nAnswer: o, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/3 + (3 - 1). Suppose 0 = -4*m + 49 - b. What is the highest common factor of 70 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d**2 + 6*d + 2. Let v = 0 - -13. Let p = v + -11. Calculate the least common multiple of p and r(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 12*h - 1. Let k be l(12). Which is the nearest to -2? (a) 2 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) + (sqrt(95) - (sqrt(95) - sqrt(95)*2))) + -5*sqrt(95)*2)\/((sqrt(30)\/(sqrt(3)*-1))\/(sqrt(18)*-1 + sqrt(2) + sqrt(2))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*z - 18 = -4*s, -3*z - 6 = -2*s. Suppose 0 = k + k + 3*c - 35, 2*c + s = 0. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1359114155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000111001 - 1100010?\nAnswer: -111010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 2771?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -34 + 7*f - 37 + 71. Let n(h) = 11*h. What is m(n(o))?\nAnswer: 77*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3\/7, 10, -1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 9. Let m be v(5). Is (70\/15)\/(m\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 105\/(-6) - 6\/(-12). Let q = 20 + u. Suppose p + p = -q*g, -4*g - p = 0. Which is smaller: 6\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81213865121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*y, -3*y = -5*q - 4*y. Suppose g + 64341 + 14859 = q. Round g to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 - 212. Let a = j + 62. Sort a, 3\/4, 0.1, -4 in ascending order.\nAnswer: -4, 0.1, 3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -15 (c) -4 (d) 0.5 (e) 50351 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 + -0.21. Let v = 520931.7 - 520931.76000011. Let a = k - v. Round a to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 62*g**3 + 28*g**2 + 6*g + 5. Determine o(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/23 + -27\/46. Suppose -3*m = 2*m. Which is greater: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.5 - 50.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274 is divided by 213.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 6. Calculate b(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1637251 (base 10) to base 3\nAnswer: 10002011212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + g = 28, 47 = -5*k + g + 3. Let j(f) = -f**2 - 9*f - 6. Let d be j(k). Let l(q) = q**2. What is the least common multiple of l(d) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-72)\/(-36)*4\/456\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -275*g. What is d(1)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44946 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/594 and 151\/12748692.\nAnswer: 114738228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 16 + 212. Find the common denominator of 83\/4 and l\/12*1 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*l + 54 = 0, -42*s = -40*s - 4*l - 72. What is the lowest common multiple of 2232 and s?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/24*(-97)\/3 and -1\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349 a factor of 501697345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9880333*b**4 - 2*b**2 - 128464107*b wrt b.\nAnswer: 118563996*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let u be -1 + 3 + (-414)\/186. Let y = 167\/465 + u. Which is the smallest value? (a) 4\/7 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-6) - 4)*(0 - -3). What is the common denominator of 97\/224 and (-3)\/b*26\/(-21)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:25 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {t: 1, s: 1, i: 1, j: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, g: 1, m: 7, y: 3, e: 2, v: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 17*n + 10. Let x(z) = -z + 1. Let c(u) = -k(u) + 2*x(u). Let f be c(6). Let b = 86 + f. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5358 is divided by 2673.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 2306029942026?\nAnswer: 2306029942025.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**(-3\/5)*u)\/(u**(2\/3)\/u))\/(u\/u**(2\/7))**(-22) assuming u is positive.\nAnswer: u**(2168\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -41089695700.\nAnswer: -41089695700.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abp when three letters picked without replacement from fpappbpf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 0 + 2*n**2 + 99.\nAnswer: 2*n**2 + 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1, 3\/5, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/4, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 242\nAnswer: -4\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c + c + 3*c)*(-2 + 2 + 1) + 12106*c - 14 + 0 + 14 to h + u*c and give u.\nAnswer: 12104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 245, 53, -1007, -3361, -7435, -13655, -22447, -34237?\n\"Answer: -71*z**3 - 8*z**2 + 329*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42228 + 42232. Determine i, given that 2\/11*i**5 + 12\/11*i + 2\/11*i**2 + 0 - 14\/11*i**3 - 2\/11*i**v = 0.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41914 divided by -39251?\nAnswer: -41914\/39251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 + -152. Solve q*m + 8 + 2 = -4*f, -f = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -5*s - 4*r, -2*s - 4*r = s - 262. Suppose 2*b - s - 26 = 0. Let o = b - 25. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4158\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9438 greater than or equal to -10044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 25*n**2 + 66*n + 4. Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Let t = 3.1 - 2.9. Let i = -0.1 - 0.2. What is the nearest to g in 1\/4, t, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1272033, 2544014, 3815995, 5087976, 6359957, 7631938?\n\"Answer: 1271981*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 23809*g + 810662.\nAnswer: -(g - 34)*(g + 23843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -29*i + 42*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let l(i) be the second derivative of i**4\/12 + i**3\/6 + i**2 - i. Calculate the smallest common multiple of l(q) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Let a = 22 + -18. Is l >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 33*u**2 + 902*u - 3609. Determine n(4).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1067 - -1066.992. Which is the biggest value? (a) 0.2 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 - 5*k - 5. Let t(x) = -x**2 + 2*x + 2. What is -2*p(z) - 5*t(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24559 = -20*l - 4959. Suppose 21*x - 14*x - l = 0. What is the remainder when x is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 167\/4. Let i = 256 + -2814\/11. What is the nearest to k in i, 3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*c*i*y**2 - 86845*c*y - 2507*i*y**2 + i*y + 1021*y**2 + 2*y wrt c.\nAnswer: 40*i*y**2 - 86845*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.1 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32431300322 + -4?\nAnswer: -32431300331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*o + 13*o - 24, l = 5*o - 12. Put l, 4, 1, 8 in decreasing order.\nAnswer: 8, 4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*11\/(4752\/(-3744))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 14 = -3*t, 4*z - 2*t - 2*t = 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8\/9)*p**(-21)\/p)\/(p**14\/p*p**(2\/13)*p*p))**(10\/11) assuming p is positive.\nAnswer: p**(-44510\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419979795 is divided by 337?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*f + 42, -4*l + 45 = 1906*f - 1903*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 12 = 0. Suppose 0 = -2*i - 2 + f. Solve a + 6 - 1 = 0, t + 21 = -i*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 3, e: 5}. What is prob of picking 3 e?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 417334 equal to 417333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 divided by -3.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/12 + 13*u**3 + 58*u**2\/3 - 8424. Let g(q) = 0. Calculate q.\nAnswer: -116, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 3:56 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.44 + 23.94. What is the fourth smallest value in 0.2, -8, -4, v, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -633\/5 + 11359\/90. Calculate the common denominator of f and -10\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 50593, 50275, 49745, 49003, 48049?\n\"Answer: -106*b**2 + 50699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) 2 (b) 0.13747 (c) -0.2 (d) -2 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -6. Let y = s - -13. Let o = -4 + y. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 3*b + 2. Let u be x(-2). Let i(g) = g**3 + g**2 + g + 14. Is i(u) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anaa when four letters picked without replacement from narraannann?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**2 + 4*t + 2. Let x(q) = -51*q**2 - 11*q - 6. Let y(k) = -8*a(k) - 3*x(k). List the prime factors of y(3).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/(m\/(m*m\/m**(-5)))*(((m*m**(-26))\/m)\/m*m*m)**(-13\/4) assuming m is positive.\nAnswer: m**(337\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 1\/60*t**5 + 0*t + 3 + 1\/6*t**3 - 1\/12*t**4 - 3\/2*t**2. Let a(x) be the second derivative of s(x). Factor a(j).\nAnswer: (j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -128. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/963545 and -35\/34494911.\nAnswer: 172474555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:59 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p - 41*p - 2 = -q, -2*p + q = 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) -0.4 (c) 23\/7 (d) 0.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a02 (base 14) to base 16.\nAnswer: -27d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/3077 and -7\/1448?\nAnswer: 24616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 9*q - 20*q as x*q + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -88. What is the common denominator of ((r\/28)\/(-1))\/(9\/(-3)) and 53\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 6*z**2 - 6*z. Let m be t(5). Suppose 0 = -4*g + 3*g - 2. Calculate the remainder when g\/(-5) - 53\/m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/28? (a) 1408 (b) -18 (c) 3 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 16) to base 12\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(28) + (sqrt(110)\/(sqrt(11)*-1) - sqrt(10)))\/(sqrt(98)*-3*-5).\nAnswer: -sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(1100)*-4 - (1 + 0 + 1 + sqrt(1100))) + 2)**2.\nAnswer: 317900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5 = 0, 4*n = -54*k + 55*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 10*l - 6. Let w(f) be the second derivative of -f**4\/12 - 11*f**3\/6 + 5*f**2\/2 + 7714*f + 1. Calculate -5*w(y) - 4*x(y).\nAnswer: y**2 + 15*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4000 and -4003 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9294 + -1495. Suppose 69*c = -52*c + 13543 - 1695322. Let y = t + c. Round y to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6452.8 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t + 70*t - 4*u = 44, -2*u = -4 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 12. Let x(v) = -v + 8. Let k be x(0). Let h be q(k). Which is the closest to 0.1? (a) h (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 22. Let k be 1\/5 + 4 + 104\/h. Let i be 1*((-1)\/k)\/1. Solve -3*q + i = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16086 and 54449961.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 0*s**3 - s**3 - 12*s - 11*s + 22*s - 17 + 6*s**2. Let k be p(5). Factor 0*o + 0 - 1\/2*o**5 + 3\/2*o**4 - 3\/2*o**k + 1\/2*o**2.\nAnswer: -o**2*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 + 2 - (-2 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 1}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l. Let r(n) = -18*n**2. Give b(r(t)).\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 - 13*v - 3. Let t(r) = 7*r**2 - 10*r - 5. Calculate 4*t(m) - 3*x(m).\nAnswer: 4*m**2 - m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6176773668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j + 4. Let w(g) = -5*g - 5. Let a be 0 + -4 - (-13 + 14). Determine a*s(q) - 4*w(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445879 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9455*h**4\/2 + 226155*h**3\/2 - 784205*h**2\/2 + 62205*h\/2 - 405 = 0 for h.\nAnswer: -27, 1\/61, 2\/31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 765\/(-153)*15*2\/10275.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 361867416*k**2 - 489515564 wrt k?\nAnswer: 723734832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*x + 40 = 5*n - 4*n, 14 = 2*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178465327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1170687 + 2579325. Suppose g = -5*c + 3*s, s - 38012 = 3*c + 2211992. Round c to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from {z: 2, c: 1, x: 1, r: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, -2\/47, -3, -34?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5548 - 4585.7. What is r rounded to the nearest ten?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 15*j = 12. Sort j, -2, 8.\nAnswer: j, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 + 2 + (-3 - 0) + -36 + 30.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 1, p: 1, y: 2}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 527610*y - 162788472.\nAnswer: 3*(y - 176178)*(y + 308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -69 times -1398.5\nAnswer: 96496.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 36*h - 248 - 11 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/16771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -7) + -8 - -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6044635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2517785*b**2 + 10886534*b?\nAnswer: -5035570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2053, -35, -312.\nAnswer: -312, -35, 2053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2\/4 - 576843*y\/4 = 0?\nAnswer: -576843, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 85 = -5*x - 5*p, 0 = -x + 4*p + 41. List the prime factors of (x\/(-6))\/((-4)\/176).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 - 225. Suppose -88*w = -89*w + b. Solve f - 35 = -w*p - 3*f, -4*f = 4*p - 32 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j**3 + 5*j**2 + 6*j. Let a(o) = 16*o**3 - 7*o**2 - 9*o. Let i(h) = -5*a(h) - 7*g(h). Find the second derivative of i(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -387377*h**3 + 5*h**2 - 1720571*h + 2 wrt h?\nAnswer: -2324262*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 5:12 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135684236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 20800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + -13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a factor of 200940876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 16*i + 3. Let b(r) = 11*r + 2. Let g(a) = 7*b(a) - 5*s(a). Give g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 12*w = -15. Let h(l) = 41*l**3 - 2*l**2 + 5*l - 3. Let s be h(w). What is the remainder when 4\/2*s\/(-18) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21031512830 + -0.1465\nAnswer: 21031512829.8535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 5. Let w be k(0). Suppose 25 = w*u, 8*u - 82 = -3*i + 3*u. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -534174 plus 143.15?\nAnswer: -534030.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45771*r**2 - 91552*r**2 - 20*r**3 + 45781*r**2 - 303*r**3.\nAnswer: -323*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 7 = p. Suppose 4 = 2*c - p*u, c + 3*c - 3*u - 3 = 0. Suppose -5*q + 4*d + 60 = c, -5*q + 49 + 1 = -2*d. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4485849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 1145606*i - 95099076.\nAnswer: 2*(i - 572886)*(i + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = l + 2. Suppose r - 6 = -3*x, 4*r - r - 30 = 3*x. Let g = 185 - r. What is the greatest common divisor of g and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (8 + -11) - -11. Solve n = -3*p + 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 864 = -4781. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 + 36*i + 33. Let b be w(-9). Which is smaller: 255\/8 or b?\nAnswer: 255\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17386251.57 to the nearest one thousand.\nAnswer: 17386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*p + 144*p + 69*p)*(-41 + 41 - 27*p) to i*p**2 + n + t*p and give i.\nAnswer: -4158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*q**5\/7 + 605472*q**4 - 31368991684*q**3\/7 + 2686783242756*q**2\/7 + 898208575380*q\/7 + 74923331292\/7 = 0.\nAnswer: -1\/6, 87, 14673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowfonnwnowoonon. What is prob of picking 2 w and 1 n?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 121321838 divided by -108614\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005741815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 49*m**2 + m + 2316. Let s(b) = -7*b**2. What is s(y(h))?\nAnswer: -67228*h**2 - 1372*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172.1 + 204. Let z = 17 - s. Let g = 14.900201 + z. Round g to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 7 + 0)*(-3*b + 2*b - b)*(1 - 2 - 1)*(190*b - 62*b + 227*b) to q*b + g + v*b**2 and give v.\nAnswer: -26980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2106.7 in -0.1584, 1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = t - 2 + 10, 4*p = 3*t - 26. Suppose -3*d + 15 = -0*d. Calculate the least common multiple of t and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 108 - 58 = -10*g, 0 = -4*g + 5*k - 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 3. Let t be i(-1). Solve -t*k - 15 = -4*x, -k + 3*x = 5*x - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -12, -24, -40, -60, -84, -112?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1356916 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4421\/3 - 12*(-6)\/54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 5\/10)\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56726567 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133784615 is divided by 15005?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 57*x**3 - 1. Give p(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/2 (b) -15 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 42*h**2 + 5*h - 76. Let d(o) = -6*o + 16. Let f be d(4). Let a(k) = -63*k**2 - 8*k + 114. Let i(g) = f*q(g) - 5*a(g). Differentiate i(s) wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:20 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27457.1475 - -27505. Let l = -47.8 + c. Round l to 3 dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**6\/40 + v**4\/8 + v**2\/2 + v. Let a(s) be the first derivative of k(s). What is the second derivative of a(c) wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4560 = -3*t, -6*t + 10*t + 4*x - 6080 = 0. Suppose -2*n + t = v + 275, 5*v - 6210 = 5*n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/30 - 2*v**4\/3 + v**3\/2 - 11*v**2. What are the prime factors of b(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670241 is divided by 2121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254.5 - 256.5. What is the nearest to o in 1\/78, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 - 1906860*q - 1906856 = 0. Calculate q.\nAnswer: -476714, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/3 (c) 4 (d) -123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -3, 5, -1\/21.\nAnswer: -3, -1\/21, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1337, -1429, -1521?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -2, 7, 226, 4, 5 in decreasing order.\nAnswer: 226, 7, 5, 4, -2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 21204*l**3 + 0*l - 21210*l**3)*(-12 - 3 + 4).\nAnswer: 66*l**3 + 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9043635 minutes?\nAnswer: 54261.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23202 and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130 + 219 + 17)*(-3*y - 2*y + 4*y)*(0 + 0 - y**3) to t*y**3 + h*y + i*y**2 + z*y**4 + d and give z.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 24 = -0*w. Let t(g) = 7*g + 9. Let l(j) = -8*j - 10. Let i(a) = w*l(a) + 7*t(a). Differentiate i(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76692.38l?\nAnswer: 76692380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3434378.\nAnswer: 2, 317, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4\/4 - t**2\/2 + t + 1. Let v be c(0). Let h = 476 + -9042\/19. What is the closest to 1 in h, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3869887 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 123.88 and 17577.17378?\nAnswer: 17453.29378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25322 - 12880. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c**2 - 26*c + 20. Suppose 3*w - 5*f = 16, -w - 2*f + 3 + 6 = 0. List the prime factors of y(w).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -321597971486 and -0.0897.\nAnswer: -321597971486.0897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.6 + 20. Let v = p - -1.60000045. Round v to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 54. Which is the fourth biggest value? (a) 1\/3 (b) 4\/9 (c) t (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j - 1. Let o(z) = z**3 + 3*z**2 + 4*z + 4. Let m be o(-2). Suppose -y - y + 4 = m. Determine l(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 469 + 57 = -2*x, 0 = -2*n - 5*x + 427. Calculate the remainder when n is divided by (-150)\/(-5)*(-2 + 14\/4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 0.2. Are s and -0.118 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 12*y**2 + 8*y - 6. Let j be z(10). Let s be (-8)\/j + (-2)\/(-9). Is 1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157 + 80. Let y be h\/(-21) - 1\/(-3). What is the second derivative of -4*k - 3*k**4 - k + 8*k**4 + k**y wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154\/10 - 4\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 7816*x + 11721248.\nAnswer: -4*(x - 994)*(x + 2948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-2*7\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = q - 15, 0 = -5*q - 15. Let v be (14\/56)\/(o\/(-64)). Which is bigger: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -496*k**6\/15 - 217*k**3\/6 + k**2 - 16*k - 82. Find the second derivative of m(v) wrt v.\nAnswer: -11904*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2335648 and 60726848.\nAnswer: 60726848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**2 - 1\/2*a**3 + 0 + 1\/20*a**5 + 3*a + 0*a**4. Factor o(p).\nAnswer: (p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-140)*32 + 4\/30*6. What is the greatest common factor of y and 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61 and 2?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (1 - -5)*-1. Let a(r) = r**2 + r - 5. Let w be a(o). Differentiate 0*f**3 - w + 28 - 4*f**3 - 10*f**3 wrt f.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 1. Let q be (-2)\/(-1) + (2 - 1). Let g(d) = 1. Give q*g(x) - 3*z(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6179 + -6181. Sort 2, 1, -17, d, 4.\nAnswer: -17, d, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5497134191 minus -0.18?\nAnswer: 5497134191.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6056.\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3636.2 in 0.2, -2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/2 + d**3\/6 - d**2\/2 - d. Let m be y(-3). Suppose -h - x + 12 = 0, 6*h - h = -3*x + m. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12)\/(z\/(z**(-29\/4)*z))*(z**(-8\/3))**(-21) assuming z is positive.\nAnswer: z**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 2*x = 38*h + 9693996, -2*h + 4*x = -9693992. What is h rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2 - 2*d**3 + 0*d**3 - d**2 + 0*d**2. Let t be -3 + 0 + (-34 - -1 - 2). Let o = 43 + t. Let j(a) = -a**3 + 1. What is o*j(u) - 2*s(u)?\nAnswer: -u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1688 = -f + 2*s, -5*f - 5*s = -7*s + 8448. Let h = f - -10063\/6. What is the common denominator of -115\/36 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 13 (c) -0.3 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 405\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 53*s**2 + 73*s - 50.\nAnswer: (s + 2)*(s + 25)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 8. Suppose -3*d + 4 = g, -l*d + 10 + 6 = 4*g. List the prime factors of 11*(3 - (d - -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + ((-104)\/4 - -4). Let a be 4*7\/r + 2*1. Let q(g) = -g + 4. Let f be q(3). Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 3. Suppose 71 = d - 5*m, 3*d - 47 = 2*d - g*m. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*n + 9*n = -744 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/(-7 - 249\/(-36)). Let c be -8*(-2)\/j*6\/(-1). Solve -v - 3*v = c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135358432 a multiple of 703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o + 0*o + 0*o)*(o - 2 + 2).\nAnswer: 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27553664153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5049 (c) 0.2 (d) 1.6 (e) 10 (f) -0.3 (g) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + 6*(sqrt(11) + sqrt(11)*-1)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 601*h + 1794 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-3))\/(4\/6). Suppose -4 - 4 = -p*x. Suppose 0*q = -x*q. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 34 = s, 4*s - 9*s - c = -58. Suppose -g - 1751 + 493 = -5*r, -r = 2*g - 245. Let v = -171 + r. Calculate the greatest common factor of v and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -4*k + 3*c - 0*c, -3*c + 78 = 2*k. Let i be (14\/(-8)*-2)\/((-9331)\/(-10664)). Solve i*t + 24 = w, -3*w = -5*t - 1 - k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k + 7. Let c be q(6). Suppose m - 4*w = -6*w, 5*w = 4*m + c. Let s be -3 - m - (6 + -9). Solve -9 = s*j - 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 3640?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from gwwgweuaggug?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8093444 and 11.\nAnswer: 89027884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-84) + 256\/336. Let d = -159 + 355. Let h = -2154\/11 + d. Which is bigger: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - -379. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**2 - 65*r + 6464. Give g(-35).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29719 divided by -85.\nAnswer: 29719\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 201120011 (base 3) to base 12\nAnswer: 8304","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**7\/280 + f**5\/60 - f**3\/3 + 2. Let b(o) be the third derivative of j(o). Find the second derivative of b(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 15011?\nAnswer: 15011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1945 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3984 + o**2 + o - 7171 - 11029 + 1698.\nAnswer: o**2 + o - 20486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = -230. Let d = 9 + 4. Let f = 3 + d. Calculate the remainder when a is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*y + 6*y + 117 = -0*y + 526, -y = -4*i - 89 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1. Let i be p(4). Let g(n) = n + 17. Let b be g(-12). Suppose 0 = -j - 5*y - 23, -i*y - 27 = b*j - 0*y. What is the closest to 1 in j, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 1, 5, 9, 13?\n\"Answer: 4*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -734.9.\nAnswer: 735.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4424 + -4423.92684. Let v = b + -0.07. What is v rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 10*l + 24. Let j(h) = 2*h**2 + 3*h + 3. Let o be j(-2). Suppose 2*i = 5*z - i + 19, -z + 3*i = 11. Put l, o, z in descending order.\nAnswer: o, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 2168?\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -641\/9 + 71. Let p(k) = -k**3 + 2*k**2 + k - 3. Let x be p(2). What is the closest to x in m, 0.5, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, 1176, 4573, 9328, 15441, 22912?\nAnswer: 31741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46876521.5 and 22865.\nAnswer: 46899386.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from xjqccqbcqtbccbbc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 50. Suppose s = -g - 5*g + 1284. Let q = -34 + g. Does 36 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 20448 + 48552. Round t to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32957.079645 + -32957. Round a to 3 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -6\/7, 5, -1, 330.\nAnswer: -1, -6\/7, 3, 5, 10, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*c + 382 - 126 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3*m - 3 + 5 + (4 - 4 + 4*m)*(3 - 3 - 1) to the form f*m + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 4*s**2 - 11*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m - 6*m + 8*m)*(0 + 1 + 2) - m - 2 - m + 1 to y + u*m and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1734 = -3*g + 2*g, 4*g = -j + 7041. Let b = -952 + g. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(68) + (sqrt(68)*1 - sqrt(68)) + sqrt(68))*5)\/sqrt(4)*-1 + 0)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + g**2. Let x be z(-1). Let m be x\/2 + 5\/(-2). Let o(b) = -3*b + 2. What is the tens digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719 - 305 = -32*w. Factor x**4 - w*x**3 - 197*x + 34*x + 35*x + 12*x**3 + 132*x**2 + 256 - 192*x.\nAnswer: (x - 8)**2*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - a**3 - 25*a**2 - 20*a**2 - 4*a**4 + 0*a**4 + 14 + 46*a**2 to the form o*a**3 + u*a**2 + n + l*a**4 + f*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f + 36 = -72*f - 2*b, -3*f + 2*b + 35 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = -2*p. Suppose -3*i - 6 = k, 5*k - 3*k + p*i = -4. Suppose -z + k*z + 18 = 0. What is the highest common factor of 54 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-278*m + 74*m + 106*m)*(-1 + 1 - m).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-12) + 1)\/(-9*(-1)\/3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let o = 0.3004 + -0.0234. Let n = o - 0.177. What is the fourth smallest value in n, -3, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 372*t**2 + 475*t - 102134. Determine w(-374).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/99 - (-660)\/54\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7308 = -84*v - 298*v - 24*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2 - 2082*d = 0.\nAnswer: 0, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10170*v**5 - 453*v**2 + v + 1?\nAnswer: -610200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 847734*g**2 + 188559.\nAnswer: 1695468*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181608 is divided by 3424?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*m - 264, 4 + 1 = m. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010 times -32?\nAnswer: 96320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -89 and -658.134.\nAnswer: -747.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.7538244 rounded to two decimal places?\nAnswer: 28.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22.93187 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 2815.\nAnswer: -2815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*f = -2*g + 360*f + 69, 5*f - 337 = -6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*q**6 - 12*q**4 - 152*q**2 + 1 wrt q?\nAnswer: -960*q**3 - 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*c + 15. Suppose 2*j - 10 = c*j, q = j + 12. Let a be (-2 - -4)\/(4\/q). Solve -a + 0 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11559?\nAnswer: 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 5*y + 40 = 7*p, -p - 20 = -4*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-783)\/290)\/(-27))\/(8\/(-50))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**3 - 2*t**2 + 2*t + 1. Let v(l) = 67*l - 746. Let s be v(11). Let q(j) = 32*j**3 - 9*j**2 + 8*j + 5. Give s*p(k) + 2*q(k).\nAnswer: -8*k**3 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 48*t + 62*t**3 - 25*t - 108*t**3 + 50*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141.07 - -140.97. Is 2339 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by -6?\nAnswer: -157\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -1)**2*-4 - (sqrt(7) + (((sqrt(7) - (0 + sqrt(7)))*6)**2 - sqrt(7)))) + (((-1*sqrt(84) - sqrt(84)) + sqrt(84))*-3)\/(sqrt(84)\/sqrt(63)).\nAnswer: -32 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-735)\/(-70)*(-2)\/(-28)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188340 and 860?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6427 - 6432. Let x(m) = m + 1. Let d be x(-3). What is the nearest to -1 in 90, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -683\/98 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*z + 28*z + 5*z - 279 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4941*l + 99369 = -829 + 3971 - 22357 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {h: 1, y: 6, r: 3, a: 2, g: 1, j: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/13 + 110*k**4\/13 + 108*k**3\/13.\nAnswer: 2*k**3*(k + 1)*(k + 54)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4888 or -795\/7?\nAnswer: -1\/4888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6380 - -6376. What is the fifth biggest value in 4\/3, -0.1, a, 0.4, 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -49, -53, -41, -7, 55?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -496 or -499?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 bigger than 304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.223 and -3005.\nAnswer: -3005.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13362 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: Let f = 5485 + -5484.7387. Let s = 0.008 + -0.258. Let i = s + f. What is i rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 614\/(-9) - (-4)\/18. Let v = -316 - -212. Let x = u - v. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*h**2 - 12\/5*h + 161.\nAnswer: -(h - 23)*(h + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29428800 to the nearest integer?\nAnswer: 5425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {v: 1, h: 1, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -708 + 2100. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 744, 749, 758, 771?\n\"Answer: 2*w**2 - w + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(56*v + 17*v - 22*v) - 2*v + 0*v + 0*v.\nAnswer: -104*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 463?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63318*p**4 - 3563*p wrt p?\nAnswer: 759816*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 20 = 80. Let u(x) = x**2 + 3. Let s be u(0). Solve -4*r + s - a = 5*b, 4*r - b = 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:35 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f**(-2\/3)*f)\/f))\/f*f*f)**(-31\/4)\/((f**(6\/5)*f)\/f**(2\/31)))**(-8\/3) assuming f is positive.\nAnswer: f**(55994\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 23*x = 42*x - 99, 5*s + x - 6*x + 35 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111002201002 + -2012120?\nAnswer: -111011220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(-533)\/(-52)*12\/(-3). Which is greater: 498 or s?\nAnswer: 498","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -20 - 16 + 4345*g + 6768*g + 11. Let x be f(18). Suppose m - 5*m + 3*p + x = 0, -99997 = -2*m - p. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 - -6 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-637 + 1563 + 1719)*(-3 + y + 1 + 1).\nAnswer: 2645*y - 2645","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 40. Suppose a - 21 = r. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155676 divided by 491.\nAnswer: -155676\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 < -1387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from xnwymnwwww?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -206. Calculate the remainder when j is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 3*x + 9. Let b be n(-5). Suppose 0 = w - 1 - 6. Let z = 5 - w. Sort 1, z, b.\nAnswer: z, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + -101. Let c(d) = -d**3 - 3*d**2 + 3*d + 11. What is the tens digit of c(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/12 and -79\/2532.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 9*w - 5. Let q be m(8). Suppose -q*r = 14*r - 119. Solve -r = y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225763*o**3*u**3 - 2*o**2*u + 4*o*u**3 + 3*u**2 - 500*u wrt o.\nAnswer: -1354578*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*a + 115*a - 187*a)*(-1 + 3 - 3)*(-a + 0 + 0).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5368*t + 54671 - 86723 = 25396 + 205584 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 11*w + 6. Let b be y(-4). What is the greatest common divisor of 50 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 2*c**2 - 3*c - 3*c**3 + 2 - 4 to y + x*c**3 + z*c**2 + w*c and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 39 + 1)*(-5*m**3 + 3*m**3 - m**3).\nAnswer: -66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 577.77 * -2.\nAnswer: -1155.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3, -0.4, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*p - 9, 0 = p - 5*u - 2 + 17. Find the first derivative of -3 + p + 0 + 4*i**2 wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 221 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) -0.4 (c) 19.1 (d) 11814\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/83 (b) -0.4 (c) 1 (d) 2\/13 (e) 2 (f) 3 (g) 3666\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q - q + 2*q + 0*q + 0*q + q + q - 2*q - q + 2*q + (-1 - 3 + 2)*(0*q + 2*q - 3*q) - 2*q + 3*q + 5*q)*(-2 - 2*q + 2).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -12 - (-3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -393*l*w + 3647*l + 2 wrt w?\nAnswer: -393*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-16563)\/(-15) - (-4)\/(-3 + -17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 892 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*3*(5 + sqrt(54)\/(sqrt(27)*6)).\nAnswer: -74 - 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/8 - 321*t**2\/8 - 34347*t\/8 - 1225043\/8 = 0. Calculate t.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75\/493 - 18889\/112404. Calculate the common denominator of 27\/38 and l.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7871657 or -0.1?\nAnswer: 7871657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16840 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492020229?\nAnswer: 7, 503, 423749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*v + 4, 4*v = r + 29 - 11. Let s = -3.94 + -0.06. Which is the nearest to 1? (a) s (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56736.767 + -56687.66698908. Let o = y - 49.1. What is o rounded to 7 dps?\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 9*z**4 + z**4 + (3 + 2 - 3)*(-2*z**4 + z**4 + 0*z**4) + 18*z**4 + 14*z**4 + 9*z**4 - 3*z**4 - 9*z**4.\nAnswer: 41*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 565604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 434949419 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41062, 82159, 123248, 164329?\nAnswer: 205402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 6 + 9 = 0, -89*b + 5 = -z - 84*b for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696209.\nAnswer: 3, 17, 79, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 163706\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*l - 4*q, 2*l + 0*l + 3*q = -10. Is 0 - -6 - -2*l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -4*g - 16. What is the remainder when 29 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 5*o**2 - o + 8. Let a be x(2). Let v(z) = z**a - 1 - 362*z + 2*z**2 + 364*z. Let k(f) = -f - 4. Let i be k(-2). What is v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from wjwzjwwwzvjzvqqvvow.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2, 3, -80.\nAnswer: -80, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88882.13 millennia in centuries?\nAnswer: 888821.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 1276751 = 1275791 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/767360 and -81\/191840?\nAnswer: 767360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2202284128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8950 and 32936.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1060319\/28 - -37878. Let h = m - 39\/4. Let s = -83609 + 83612. Which is the second smallest value? (a) s (b) 0 (c) h (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 23*j - 5. Let m = -54 - -57. Let t be q(m). Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 36513?\nAnswer: 36521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -421.\nAnswer: -8420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2065 - -2063. Which is the closest to 2\/7? (a) 0.4 (b) y (c) 4\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 3\/2, -37.41, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15734 (base 8) to base 15.\nAnswer: 21a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 4. Let k(g) = 90*g**2 - 43*g + 40. Let h be k(s). Round h to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + 11*z + 6*z)*(6 - 5*z - 6).\nAnswer: -140*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*w - 9 + 1 + 7 - 4*w + 0*w + 2*w + w - 2*w + 2*w + 4*w - w - 2*w + (2 - 4 + 3)*(4 - 4 + 2*w).\nAnswer: 23*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11697 by 5.\nAnswer: 11697\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 588 and 4056?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*s + 1559 + 845 + 741 = 0 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 18. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + 0 + -1 + (-104 + 4 - -7).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/((-10)\/(-9))*22*(-275)\/(-66) and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by 2.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o + 9*o. Suppose 3*i - 28 = 5*r, -i - 2*r - 8 - 1 = 0. Calculate the lowest common multiple of i and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and 0.4.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-72)\/27)\/(4\/(-6)). Sort y, 2, -3.\nAnswer: -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 + 5*d + 10. Let n(s) = -4*s**2 - 2*s - 5. Let q(i) = 5*n(i) + 3*v(i). Is 4 a factor of q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/5*4\/(-5). What is the units digit of (1\/3)\/(d\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/6 + 8*c. Let k(a) = -9*a. Calculate k(w(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -5*g, 2*n - 3*g = 5. Suppose -2*a + 29 = -5*j, n = -0*a - 2*a - j. Let m be -2 - (-3 + -1) - 2. Sort -4, a, 5, m in ascending order.\nAnswer: -4, m, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171, 5361, 12351, 22147, 34755, 50181, 68431?\nAnswer: 89511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-42))\/((-4)\/10))\/(((-39375)\/2646)\/(-125)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/48 + (-530934)\/636471. Let z = o - 9\/2143. What is the common denominator of z and -68\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g**3 + 35*g**3 - 88*g**3 + 27*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22303?\nAnswer: 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 80843449?\nAnswer: -80843445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -601, -600, -599?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -19. What is the third smallest value in a, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**6\/120 - q**5\/5 + 11*q**4\/24 - 13*q**3\/3 + 2*q**2. Let j be k(-13). Do j and 3\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:10 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317.9259 kilograms to nanograms.\nAnswer: 317925900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9732246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 3*y + 18 + 98, -y - 22 = z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (185\/370)\/(((-10)\/12)\/(-1)). Put u, 2\/13, -101, 1, 4 in increasing order.\nAnswer: -101, 2\/13, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2405675 and 2.\nAnswer: -4811350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1728 - -1752) + (-8 - 0 - (1 + (-1 - -3))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001220212 + -12?\nAnswer: 1001220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 879 + -879. Solve p = 3*h + 19 - 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * 30.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-520)\/150))\/((-162)\/1053)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 727*i**5\/60 - 323*i**3\/3 - 2*i**2 + 715*i. Find the first derivative of g(a) wrt a.\nAnswer: 1454*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 95, 157, 239, 347, 487, 665, 887?\n\"Answer: l**3 + l**2 + 38*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*s**2 + 101*s**2 + 43*s**3)*(-2 + 3 - 2 - 1 + 2 + 0 + (0 + 1 + 1)*(1 - 6 + 4) + 0 - 2 + 3 - 6 + 2 + 1).\nAnswer: -172*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f**2 - 13*f + 4. Let p be k(-4). Let h = p + 126. What is c in -9 - 10*c - 27*c**2 - h + 32*c**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - l = -4*k - 14, k + 8 = -2*l. Which is the closest to 0.1? (a) -3 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6462, 12928, 19394, 25860, 32326?\nAnswer: 38792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 83*u - 2067. Let b be f(-20). Let o(j) = -2*j**3 + 5*j**2 - 35*j. Let v(y) = -3*y**3 + 7*y**2 - 53*y. What is b*o(r) + 5*v(r)?\nAnswer: -r**3 - 20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1145, 1425, 7711, 17713, 31431?\n\"Answer: 1858*p**2 - 3004*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2\/7, -1.1987?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/((-544)\/(-12))*6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22238644, -22238645, -22238646?\nAnswer: -22238647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/11, 1\/4, -3324 in decreasing order.\nAnswer: 1\/4, -14\/11, -3324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 790013 divided by -160?\nAnswer: -790013\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 4. Let a be c(5). Let v = a - -11. Suppose -2*x + 3*q + v = x, -3*q - 31 = -4*x. What is the remainder when 6 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttmttttttttm.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 299*i**3 + 12*i + 8021. Let g(o) = -o**4 - 597*o**3 - 20*o - 16042. Let x(t) = 5*a(t) + 3*g(t). Differentiate x(m) wrt m.\nAnswer: -12*m**3 - 888*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 + (-78)\/(-21). Suppose -30 = -3*f - 5*u, f - u = -o*u + 6. Calculate the common denominator of -37\/10 and 5\/(-24)*-3*f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1722*a + 242. Is o(-2) a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 + 4 = 0. Let h(u) = u**2 - 7*u + 6. Let w be h(b). What is the greatest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 2*m, -4*l + 21 - 17 = -5*m. Let g(b) = 17*b - 10. Let y be g(m). Let w(v) = -v**2 - 12*v - 12. Determine w(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -5 - (2 - 0). Let a(o) = 0 + p*o + 0*o**2 + o + 1 - o**2. Let s(z) = 4*z**2 - 4*z - 5. Determine -5*a(i) - s(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-5) + 3 + 56901. Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 - 244. Let m(j) = 126*j + 83. List the prime factors of m(c).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482209882.\nAnswer: 2, 31, 771181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 14*u + 65 = -11*r, 6 = -0*r - 2*r + 4*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiz when three letters picked without replacement from siezeipcz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001124 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {p: 1, z: 1, k: 1, n: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.5. Let h = k + 0.3. Let j = -5.2 - -13.2. Which is the smallest value? (a) j (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 24. Suppose 0 = -t + o*t. Suppose 6*n - 36 = -2*i + 4*n, 5*i - 2*n - 55 = t. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891960 is divided by 1891937?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -32*x + 293. Let c be w(9). Suppose -f + y = -10, -2*y - 8 - 2 = 0. Solve 5*r + c = -4*n, 4*n - f = -r + 6*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65*i**3 + 18123*i**2 + 9424097 wrt i.\nAnswer: -195*i**2 + 36246*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -7 (c) -780 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:26 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 - 1.89. Let f = 3.09 + i. What is the nearest to -3\/4 in 2, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55737477 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 14944577.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 744?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m**2 - 1. Let a be o(1). Let j = 9 - 8. List the prime factors of a\/4 + j\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -130, -0.1, -2 in decreasing order.\nAnswer: 0, -0.1, -1, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7637598*i. Let w(d) = 6*d. Give w(y(o)).\nAnswer: 45825588*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 9\/2*h**2 - 5\/2*h**3 + 2*h - 1\/2*h**4 + 0. Factor x(l).\nAnswer: -3*(l + 3)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 46*i**2 + 47*i - 123. Give z(45).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 11. Suppose 0*m + j = 3*m. What is the derivative of 1 + 3*a - 3*a + a**m wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 3:50 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7306, 14598, 21890, 29182, 36474, 43766?\nAnswer: 51058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706103576.\nAnswer: 2, 83, 1063409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 561, 823, 1083, 1341, 1597?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71588118.82 rounded to the nearest 100000?\nAnswer: -71600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418359636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + y + 2*y)*(-109 + 693 - 272 + (2 + 3 - 3)*(-66 + 11 - 50)).\nAnswer: -204*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + 3)**2 - (sqrt(132)\/sqrt(4) - sqrt(33) - sqrt(33))\/sqrt(11).\nAnswer: -11*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*f - 6137, -5*o - 8193 = 10*f - 14*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01465784 to five dps.\nAnswer: -0.01466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) 1\/39 (c) 1\/7 (d) 3 (e) 210 (f) -6 (g) -9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133442311?\nAnswer: 29, 101, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -3\/5*x**5 + 0*x**2 - 2\/15*x**6 + 0*x**3 - 2\/3*x**4 + 0 + 8*x. Factor f(k).\nAnswer: -4*k**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/14)\/(-14 - (-23600)\/1750)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23c7a + -29c?\nAnswer: 239cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 10 = -14*g. Solve -5*b + 10*b = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/4 + 4379*c\/4 + 4383 = 0.\nAnswer: -4, 4383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:06 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 + 3*g - 2. What are the prime factors of o(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/9, 3, -1.9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 39*w + 137. Let s be k(40). Suppose -s*b = -92*b. Sort b, 140, 3 in decreasing order.\nAnswer: 140, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531713 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.09 (b) 8 (c) 3\/740\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**4 - 40*a**3 - 47*a**2 + 170*a + 162. Let y(r) = -3*r**4 - 80*r**3 - 95*r**2 + 345*r + 323. Let j(o) = -10*v(o) + 4*y(o). Solve j(s) = 0 for s.\nAnswer: -2, -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37 + (-825)\/(-22))\/((-3)\/(-2)). What is the fourth smallest value in 14, -1\/4, 0.5, c?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 40 = 5*i. Suppose -7*n + 4*g - 251 = -2*n, -i*g = 5. Let x = 51 + n. Solve -3*p - 3*b = x, p - 3*p + 4 = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:31 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 454109881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 12}. What is prob of sequence mmmm?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - 69\/2. Suppose f + u + 61 = -u, 3*f + 183 = -3*u. Let p = i - f. Solve -2*x = -0*x + g - 7, -3*x + p = -4*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2.31\nAnswer: -11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 711462.3km?\nAnswer: 711462300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-20)\/15 + -1. Suppose -q*x = -4*x + 138. Suppose 7*a - x = 2*a - 4*f, 18 = a - 4*f. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*w - 179*t + 175*t, 5*t = -5*w + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-2) + 27 + -21. Let z(x) = -x**2 - 3*x - 4. Let w be z(-4). Let i be (-21250)\/(2\/(-10)*c\/w). Round i to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.1. Let b = 0.587 + -0.557. Sort -2\/9, x, b in descending order.\nAnswer: b, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 253318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*t = 161*t - 27. Let x be (4*1)\/2 + -5. Let k be (-2)\/9 + x\/t. What is the nearest to k in -3, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 30. Let a = -14 + y. What is the second biggest value in a, -0.5, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtb when three letters picked without replacement from bmbbbbttbmbbmbtbtb.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -1) + 7 + -5 + -22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9424, -18853, -28320, -37825, -47368, -56949?\n\"Answer: -19*q**2 - 9372*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f985 - 0?\nAnswer: -f985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Let q be 8\/(-8) + 34\/c. What is the units digit of q\/4 + 11\/(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b - 14*b + 2210 = 47*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*w**2 - 11*w**2 + 3*w**2 in the form h*w**2 + y*w + u and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(162) - ((sqrt(162) + 1)*1)**2 - (0 + 2 + sqrt(162))).\nAnswer: -160 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cbb - -8f?\nAnswer: -c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 6*s**2 - 5*s - 2. Let f be d(-5). Sort 0.08, -3\/5, 2, f in ascending order.\nAnswer: f, -3\/5, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654*q - 846*q - 220 = 828*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55098039 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -121 in -4, 1\/3, -1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 + 15*t**2 - 37*t + 6. Let k(z) = 22*z**3 + 59*z**2 - 147*z + 26. Determine 9*b(l) - 2*k(l).\nAnswer: l**3 + 17*l**2 - 39*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*o = 523*o - 670*o - 12768 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Let x(z) = -6*z**2 + 50*z + 11. Let a(w) = -893*w + 3*w**2 + 868*w + 2 - 8. Let c(q) = 11*a(q) + 6*x(q). Give o(c(s)).\nAnswer: 18*s**4 - 300*s**3 + 1250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2*g**6 - 8615812*f**2*g**3 + 222909527*f**2*g**2 wrt g.\nAnswer: -360*f**2*g**3 - 51694872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*w - 942*y + 961*y - 24, -5*w + 3 = -2*y - 27 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*w - 1274, t - 4*t + 4*w + 959 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*s - 1431781 = -6154006. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/120 - 7*l**5\/60 + 5*l**4\/24 + 4*l**3\/3 - 2*l**2. Let h be s(6). Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - -0.31. Let x = 606 + -3655\/6. Let q = x + 139\/42. Which is the closest to -1? (a) q (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 7:25 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 145 - -380770?\nAnswer: 3808b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4419 + -2338. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5637.88 + -5484. Round x to the nearest integer.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134024749 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.18152 weeks to hours.\nAnswer: 15318.49536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {q: 2, c: 4, l: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108)*2 + 0 + 6*sqrt(108)*3 + -4)**2.\nAnswer: -1056*sqrt(3) + 52288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 + 33*p + 4. Let w be t(11). Suppose 54*s - 50*s + w = 0, 4*s = -3*z + 1889. What are the prime factors of z?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6 + 3 + 3) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -65*p**3 + 88*p**2 + 356*p + 21. What is the remainder when j(-4) is divided by 380?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -114?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 - 8046*t**2 - 8049*t = 0. Calculate t.\nAnswer: -1, 0, 2683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 5*h + 4. Let f be n(-6). Suppose -5*l = -5*k + 30, 0*k + 4*k + 3*l - f = 0. Let m be -1*1\/((-2)\/18). Solve k*q = m - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*o - 2*f, -235*f - 40 = 4*o - 237*f. Factor o*j - 4\/5*j**4 + 0 + 16\/5*j**2 + 0*j**3.\nAnswer: -4*j**2*(j - 2)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 497*g + 9760. Calculate s(227).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4817163 times 5?\nAnswer: -24085815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 11*x - 49. Does 4 divide u(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s + 78 = 4*p, 81 = 5*p + 3*s. Calculate the remainder when 106 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 3*z - 4*z + (-2 + 2 + z)*(-5 + 3 + 3 + (1 + 1 - 1)*(1 + 3 - 3) + 13 - 8 + 4) to the form a + l*z and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 51972*k**2 - 3*k + 1. Let z = 15 + -9. Let y be l(z). Let a = y + -850975. What is a rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h + 1. Let f be c(-1). Suppose t + f = 74. Calculate the greatest common divisor of 165 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1780, -2097, -2424, -2767, -3132?\n\"Answer: -q**3 + q**2 - 313*q - 1467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Let l(w) = m*w + 4 - 22*w**2 - w**3 + 26*w**2 + 3*w**3 - 3*w**3. What is l(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8317797, -8317799, -8317801, -8317803?\nAnswer: -8317805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 638629100 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -246\/7, -4\/5 in ascending order.\nAnswer: -246\/7, -4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 8. Let o(i) = -11*i + 134. Let j(l) = 10*l - 121. Let n(a) = -10*j(a) - 9*o(a). Determine 2*f(z) - 5*n(z).\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10262 * 0.5\nAnswer: -5131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 2 = 2*k + 2. Solve w + 6*w + 28 = k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -21468\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 3*d + 21, -8*s - 18863*d + 18859*d = -28 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 5}. What is prob of picking 1 e and 2 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -320, -722, -1276, -1976, -2816, -3790, -4892?\nAnswer: -6116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27874944, 27874911, 27874878, 27874845, 27874812?\nAnswer: 27874779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 256335158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/5)\/(6\/(-15)). Suppose -h*f - 4*m + 220 = -2*f, 3*f - 4*m - 172 = 0. Find the common denominator of 73\/9 and ((-18)\/12)\/((-10)\/f).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 574389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 16*n - 106. What is the common denominator of (1\/n)\/(340\/17374) and 55\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 15. Let d be 63\/6*(-12)\/8*(-16)\/21. Determine t(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5105 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 981\/49 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 474704 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 578, 4, 1, -1, 5 in ascending order.\nAnswer: -1, 1, 4, 5, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = 52*d - 3*d - 112 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 2. Let y(m) = -12 + 22 - 17 + 9*m**2 - 5*m**2. What is 14*r(k) + 4*y(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 60 = 3*x, -96 = 5*x - 2*m. Let d = -7 - x. Let y be (d\/(-2))\/(1\/(-2)). What is the greatest common factor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69510235 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78337293.\nAnswer: 3, 26112431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, -1\/6, 1\/4, -254?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7917866*k*w - 12353699*k wrt w?\nAnswer: -7917866*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119147031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2, 0.202, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14917 - 29833\/2. Which is the nearest to 4\/15? (a) -7\/2 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 9 = -3*v. Let k(r) = r**3 - 8*r**2 + r + 5. Let q be k(8). Let l = q - v. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 53. Let j = 479\/6 - 80. Which is the biggest value? (a) j (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 219370*p - 5702959. Determine h(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 3*c = -5*y + 6, 0 = -3*y - 4*c - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-11) - ((-18)\/22 - -1). Sort z, 3, 4, -3.\nAnswer: -3, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-65))\/((-784)\/(-5096)). Let t(a) = -a**3 - 9*a**2 - 5*a. Let r be t(-6). Let b = 159\/2 + r. Sort b, 0, n, 1\/2.\nAnswer: 0, 1\/2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 227*c - 2098. Determine o(84).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162*f**2*m - 9*f**2 - 11 wrt m?\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1927469.84000032 + 1927441.84. Let j = -28 - x. Round j to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1533.7, 0, 5\/4, 1 in increasing order.\nAnswer: -5, 0, 1, 5\/4, 1533.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34107*0.4.\nAnswer: -13642.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*l - 1 = 0, -3*l = 3*j - 6*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 5, o: 4, q: 2, p: 1}. What is prob of sequence ppxq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 220\/5 + (-13 - -14). Sort 11, 1, l, -5 in decreasing order.\nAnswer: l, 11, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110110 (base 2) to base 14\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 - -136. Let z = -0.03 + 0.15. Let x = z - 0.02. What is the second biggest value in k, -5, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47414*u - 17 + 17 + 47418*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -40, -42, -38?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 2*q + 3. What is the units digit of g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 26, -1, -14832 in descending order.\nAnswer: 26, 3, -1, -4, -14832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwgnggnggnfwwnggn. Give prob of sequence nwng.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*g**4 - 155*f*g**3 + 3*f*g**2 + 88*g**2 wrt g.\nAnswer: -48*f*g - 930*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -35. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.202 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*y + 29*y + 43*y - 9295982. What are the prime factors of y?\nAnswer: 2, 67, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756483.2ml in litres?\nAnswer: 756.4832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.8 + -14.7999635. What is b rounded to 6 decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30596\/17 - -1800. Solve 6\/17*i**2 - y*i + 0 = 0 for i.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38870*n - 26478*n**3 + 38870*n.\nAnswer: -26478*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1575 divided by 1\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*q**3 - 4*m**3*q + 109*m*q**4 + 3*q**2 - 24*q wrt q?\nAnswer: -6*m**3 + 2616*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**2 + 105*d - 92. Let q be r(-14). What is the second smallest value in q, -2, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 623, 1290, 2043, 2924, 3975, 5238, 6755?\n\"Answer: 7*x**3 + x**2 + 615*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6941 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 758*y**2 - 439*y**2 - 457*y**2.\nAnswer: -138*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 180, 18 in descending order.\nAnswer: 180, 18, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1496 and 4262\/6 + (-22)\/(-33) - (1 + 6).\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*y + 69 = -436 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i**2 - 2*i + 5. Let t(x) = -x**3 + 4*x**2 + x + 5. Let q be t(4). Let r = 5 - q. Is c(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*2*sqrt(171)*-3 + -4*(1 + (-1 + sqrt(171) - sqrt(171))*5) + -3)**2.\nAnswer: 2808*sqrt(19) + 221785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 62*g**2 + 123*g + 12. Give j(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, -4897, -21872, -56273, -113908?\nAnswer: -200585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5858\/7 or -837?\nAnswer: -5858\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 131.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6391 + -1.867. Let m = v + 0.0207. Let p = m - -1.2. What is p rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*k + 25 + 6, -3*u + 23 = k. Suppose -u = -3*f + 6. Suppose -y + 19 = 3*l, 0 = -f*y + 2*l + 21 + 41. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 5*w**2 + 6*w - 8. Is 12 a factor of m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 350\/9 - 67909\/1746. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f + 21758 + 42696 = 1041*f for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 3*h**2 + 2*h. Let l = 21 - 23. Determine v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 413 = -4*c, 411 = 4*c - 0*c + 3*s. What is the remainder when 390 is divided by c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 243*j - 1214. Give u(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/4 + 5)\/(-4 + (-3498)\/(-876)). What is the fourth smallest value in 0.5, 5, z, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15546*b + 4530. What is the units digit of h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 3 + 10)*(-74 - 19*n + 74).\nAnswer: 247*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 = -8*k + 10*k - 24*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1427434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2299) - (sqrt(2299) + sqrt(2299) + sqrt(2299) + sqrt(2299) + 2)**2) + 1).\nAnswer: 330*sqrt(19) + 73574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5486428 nanograms?\nAnswer: 0.0000000000005486428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-5 + 3 + -8)) + (-2 - -11).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/28 + 2\/(-4). Let v be 15\/70 + (-1)\/2. Let f = 1 - -3. What is the closest to v in -0.2, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2469272, -4938544, -7407814, -9877082, -12346348, -14815612, -17284874?\nAnswer: -19754134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 84*j**2 - 81*j**2 - 1 - 5*j**2 + 1 + 3*j**2 + j**2 + (-9 + 9 + 6*j)*(2 - 2 - 7)*(0*j + 3*j - 2*j) in the form c*j**2 + y*j + b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57146350 - -3?\nAnswer: -57146346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 5*b**4 + 3*b**4 + (38*b**2 - 8*b**2 + b**2)*(-4 - 2*b + 2*b**2 + 2*b**2 - 6*b**2).\nAnswer: -63*b**4 - 62*b**3 - 124*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 8. Let n be r(8). Let a be 3 + 8\/(n + 2). Suppose 3*j + 8 = a*j. Solve -j*y + 3*y - 5 = -2*m, -2*y = 2*m - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 611 + 37*o**2 + 37*o**2 + 13*o**3 - 74*o**2 - 18*o**3 + 3*o in the form d + h*o + i*o**2 + r*o**3 and give d.\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 3*z**5\/20 + 19*z**4\/2 - z**3\/2 - 57*z**2 - 410*z + 1. Suppose p(n) = 0. What is n?\nAnswer: -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + ((sqrt(85)*-2 + sqrt(85))*3 - sqrt(85)))*-3)\/(-5*sqrt(20) + sqrt(5) + sqrt(315)\/sqrt(7)) + -4 + 5.\nAnswer: -3*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10682 + 106919\/10. Let l = -9 + 7. What is the common denominator of (1 - 92\/44) + l and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, l: 4, q: 6, s: 1, h: 5}. What is prob of sequence llq?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 121\/3. Solve 0 - 2\/3*j**2 + 2\/3*j - s*j**3 + 2\/3*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*j + 4073 = 0, -10*j + 6787 = 5*c - 6*j. List the prime factors of c.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2120 + 2130. Solve 0 = 32*d - 34*d + v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:24 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by 1597.\nAnswer: -330\/1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 + -0.8. Let u(t) = -t**2 + 4*t + 4. Let v be u(5). Let w = 93 + -96. Which is the nearest to 1? (a) d (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3163.502712 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 - 196*q - 6726 = 0. Calculate q.\nAnswer: -354, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22640 - 21804. What is the least common multiple of g and 532?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -378 or 1656?\nAnswer: 1656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2101 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 1, -3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = -5*x, 0 = -f - 0*f + 5*x - 23. Let r = -3\/4 + -3\/4. Do f and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -2) + -997 + 1015.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/50 + 4011\/(-12)*-26. Suppose -n + 4*l = -c, -3*n + l - 4*l + 26103 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 + 1958 - 122 - 1836.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)\/(((-66)\/1440)\/11). What is the greatest common factor of 40 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31063912.\nAnswer: 2, 11, 83, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (230 - 228) + (0 + -5 - (38 - 4))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(1\/21)*j)\/(j**(2\/11)*j)*(j**(4\/3))**(18\/7) assuming j is positive.\nAnswer: j**(1201\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y - 3. Give s(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**4\/8 - n**2. Let d(u) = 0 + 2215*u**2 - 1103*u**2 - 1105*u**2 + 0. Determine x(d(b)).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 2*h - 6 = 7*q, -4 = 4*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69.752 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*u - 4*u. Let q = 17\/9 - 511\/18. Find the common denominator of (-18)\/u + (-114)\/70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166877\/7 + 23783. Is -57 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 17 = -4*a, 5*n = 4*a - 21 - 0. Suppose a*d + 48 = 11*q - 7*q, -4*d - 27 = -q. Let g(z) = z**2 - 4*z - 8. What is g(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -955, -1367, -2053, -3013?\nAnswer: -4247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:59 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdnnpn. Give prob of picking 1 d, 1 k, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/3, 43, 163, 5 in decreasing order.\nAnswer: 163, 43, 5, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((104\/40)\/(-13))\/((-1)\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((4 - 16\/4)\/(-1))\/(-2). Solve 4*w - 16 + c = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*v - 4*z = -100*v - 56, 12*z - 93 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 9 = -2*r, -8*r + 5*d = -6*r + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3 + i**3 + 5*i + 0*i + 2*i**2 - 5*i - 4*i. Let q be a(-3). Solve 2*k + k = q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 704*d - 9216 + 51456 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 54.4. Let u be 11\/2*30\/(-33). Let v = 0.01 - 0.02. Sort -3, m, u, v in descending order.\nAnswer: m, v, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 2*f**2 - f + 2. Let s(o) = -178*o**3 + 16*o**2 - 8*o + 16. Give 3*s(x) - 24*y(x).\nAnswer: -558*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 225.9882l?\nAnswer: 225988.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**3 - 3*j**2 - 3*j - 1. Let w be f(-1). Find the common denominator of ((4515\/(-20))\/(-7))\/w and 149\/210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 129?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-6))\/(4\/5370) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) + 2*sqrt(126) - sqrt(126))*6)\/(5*(sqrt(27) + sqrt(3))))\/(-2*-4*sqrt(216)*-2).\nAnswer: -sqrt(7)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -23309.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7139 is divided by 275.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 372 = 6*r. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 8*q**2 - 17*q - 8. Let a(z) = 2*z**3 + 15*z**2 - 33*z - 15. Let w(n) = 3*a(n) - 7*y(n). Is w(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479417779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -121020333112?\nAnswer: 121020333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 5*z - 5. Let d be g(7). Let p be (-11)\/d + 4\/18. Let k be -2*((-4)\/(-48))\/(2\/4). Which is the nearest to p? (a) k (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 37*r**2 - 370*r**2.\nAnswer: -337*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 3*y)*(y**3 + 2*y**3 - 4*y**3) - 3*y**4 + 2*y**4 + 9*y**4 + (-2*y**3 + 7*y**3 - 4*y**3)*(2*y - 7*y + 3*y).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6363.826 to the nearest ten.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) - 63\/15. Let z be ((-2)\/(-6))\/(16\/6). What is the nearest to 1 in y, -1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 5) to base 16\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215875415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1296174, -1296175, -1296176, -1296177?\n\"Answer: -s - 1296173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 32. Let p(j) = -7*j**2. Calculate p(v(n)).\nAnswer: -63*n**2 - 1344*n - 7168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a + 14*a + 17*a**3 + (-2*a**2 - a**2 + 4*a**2)*(26*a - 18*a - 16*a - 2) in the form s*a + n*a**2 + j + c*a**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3537?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -88*r**2 - 7*r + 3. Let w(g) = -347*g**2 - 30*g + 13. What is -26*b(m) + 6*w(m)?\nAnswer: 206*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -15. Let u be (5\/k + 2)*188. Let w be (u + -2 + 1)*-10000. What is w rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -209\/840 and -161\/3060.\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 82175*j + 410750.\nAnswer: 5*(j + 5)*(j + 16430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6643629 = 6643632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9.8 (b) 3\/7 (c) 1\/19 (d) 5 (e) 0.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 + 26265*u**2\/4 - 26271*u\/2.\nAnswer: 3*u*(u - 2)*(u + 8757)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.81 plus 117?\nAnswer: 128.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*c + 200 = -2*c + 3*c, d - 34462*c + 34458*c + 202 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119506\/77 - 1552. What is the nearest to 1 in 1, q, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 32. Let f be (-10)\/o + (-16)\/(-6). Factor 0 - 1\/2*h**f + 0*h - 3\/2*h**4 + 1\/2*h**5 + 3\/2*h**3.\nAnswer: h**2*(h - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 78. Let m = n - -22. Let z(o) be the second derivative of -o**4\/12 - 5*o**3\/6 - 3*o**2 + 7*o. Determine z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:06 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let d(w) = 1. Let n(l) = l**2 - 3. Let f be ((2 - 3)\/1)\/1. Let x(s) = f*n(s) - 3*d(s). Give x(o(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 - 2.6. Let h = 255.717 - 260. Let s = h + 0.283. What is the smallest value in 3, 2\/5, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85035 is divided by 5662.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 6. Let i be k(11). Let j = -41 + i. Is j less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/60)\/((-5792)\/(-142930)). Let k = -3\/724 - s. Let u = -22369\/18 - -1245. What is the common denominator of u and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10 + -6)*2 - (0 - 0).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 4*t. Suppose 3*l = 15 + t. Solve -l = -4*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -90\nAnswer: -71\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -9*y**5\/10 + y**4\/8 + 373*y**3\/6 + 6*y**2 - 37*y. What is the first derivative of x(u) wrt u?\nAnswer: -108*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 300226615?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1426, 11537, 38982, 92425, 180530, 311961, 495382?\nAnswer: 739457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**4\/5 - 146*g**3\/5 - 364*g**2\/5 + 398*g\/5 + 24 = 0.\nAnswer: -15, -4, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - 2) + -3 - (21 - (-27 - -52))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -91. Which is greater: -6\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3258.8 + 3259. What is the closest to -0.1 in s, 0.4, -2, -24?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 14 = 4*g + g, 3*y - 4 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110220 (base 3) to base 16\nAnswer: 15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -5, 0.1, 0.66, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 343?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 2. Let a be -4*25\/(-26) + 6\/39. Let t(d) = 8*d - 179. Let q be t(22). Let x(i) = -2*i - 2. Determine a*g(z) + q*x(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 34002?\nAnswer: -34040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 + 305. Suppose -22*b = -5*k - 25*b - 204, a = -4*k + b. Do -34 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-30)\/(-10)))\/((-7)\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 3*g + 5*g**3 - 14 - 2*g**2 - 4*g**3 + 17 to c*g**3 + q + i*g**2 + u*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**7\/6300 + y**6\/1800 - y**4\/3 - 4*y. Let z(k) be the third derivative of r(k). Solve z(q) = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*r - 3*k, -2*k = 4*r + 3*k - 177. Let f(a) = 42*a + r*a - 88*a. Let i(s) = 4*s**2. Determine i(f(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, 1 w, and 1 l when four letters picked without replacement from mmmkwkbmwwbmmbmwwl.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 55 = 5*g, 455*q - 457*q - 2*g - 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 51*q + 155. Calculate m(-11).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-three fifths of a week?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013581 rounded to 7 decimal places?\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5280129\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -27*g**2 - 483*g + 54 = 0.\nAnswer: -18, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 162 = -4*o. Let v be 2\/(-1 + o\/80). Suppose -10*i + 62 = -7*i + s, -3*i = -3*s - 54. What is the highest common divisor of i and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*y**2 + 23*y - 2*y**6 + 40*y**5 + 6*y**2 - 28*y**2 + 60*y**5 wrt y?\nAnswer: -240*y**3 + 6000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -1685324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -62992 + 0.43?\nAnswer: -62991.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 0, 5*c + 6*q + 450 = q. Suppose 16*l + 1101 = 109. Let a = l - c. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**9)\/(g**17\/g*g*g))**(-2\/117))**(-24) assuming g is positive.\nAnswer: g**(-128\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441740, -883498, -1325270, -1767062, -2208880, -2650730, -3092618?\nAnswer: -3534550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312 a factor of 82728108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93920.57 litres to millilitres.\nAnswer: 93920570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57472 and 1963477?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b\/(b*b**(-2)))\/b)**(19\/2)\/(b**(-10)\/b**(-5)))**7 assuming b is positive.\nAnswer: b**(469\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232102 - -1030?\nAnswer: -1231012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*x - 1. Is ((-26)\/(-4))\/(x\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -19, -18, -17, -16?\n\"Answer: v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -184 divided by 61\nAnswer: -184\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 12:34 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29380 = -3997*l + 3545*l for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113.055204 + -0.029796. Let d = 115.48435 + x. Let l = -2.4 + d. What is l rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -3*j, -l - j + 14 = -10. Suppose l = -p + 23. What is the third derivative of -8*d**p + 2*d**4 - 220*d**2 + 219*d**2 wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/12 + p**3\/2 + p**2 - 3*p. Let n be j(-5). Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5432, -11034, -16636, -22238?\n\"Answer: -5602*n + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-28)\/(-3696)*110.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*c - 32 + 52 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 3435465?\nAnswer: -3435503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:19 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8976.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ada. What is prob of picking 2 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 9*u + 3. Let t be v(9). Let j be 0\/((9\/t)\/(-3)). Suppose -3*y - 6 = j, 2*y = a + 5 - 23. Calculate the remainder when 27 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61124.71 millimeters to micrometers.\nAnswer: 61124710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 5. Let l be m(-5). Let s(n) = -16 + 15 + 16 - n. Let y be s(13). Solve 4*a + y + 6 = l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-9)*((-57)\/38)\/((-9)\/(-60))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6 - 2. Suppose -o - u = 3*o. Let c(j) = -14*j**3 + j**2 + 2*j + 1. List the prime factors of c(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 354*z**2 - 3436*z - 1341. Calculate k(344).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2224 (b) 0 (c) -5 (d) 1.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113402.\nAnswer: 2, 56701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/104 - -2603\/312. Let r = x - 9. Let i(y) = -4*y - 15. Let g be i(-5). Do g and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*24\/(-3060)*15*((-306)\/4)\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 7 + 7 + 0*k**2 - k**3 + 2 as r + u*k + v*k**3 + p*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206 - 88 - 3346*v + 296 + 1 - 1 + 2*v + (-v + 3*v + 0*v)*(-1 - 1 + 0) - 2*v - 2*v + 2*v.\nAnswer: -3350*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -7 + 4*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-15)*(-60)\/(-140)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 3, q: 10}. Give prob of sequence ggwq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -675 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 minutes before 5:09 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 12 = -3*w, -12 = 5*q + 2*w - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 37*v**2 - 233*v + 38. Calculate c(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2. What is the remainder when 63 is divided by r(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -503 + 523. Suppose 169 = -2*v + 809. What is the greatest common divisor of n and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 11*w + 12. Suppose -5*k + 45 = 25. Suppose -5*l + 5*u - 45 = 0, -l + k*u = 8*u + 14. Give h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7 = -3*n, 4*n = -3*s + 1 + 1. Suppose 5*m = s*m + 18. What is the least common multiple of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-8\/3)*p**(-3\/4)*(p\/p**4)**20)**(-1\/20) assuming p is positive.\nAnswer: p**(137\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 1785*k**2 - 5390*k + 3600.\nAnswer: 5*(k - 2)*(k - 1)*(k + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1795.1 + -1795. Let z = -12 + 13.3. Let m = 0.3 - z. Which is the third biggest value? (a) r (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 6*g - 22 = -3*g, -3*g - 8 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/23, 0, 2\/9, 1\/4, 0.01, -4\/9 in decreasing order.\nAnswer: 45\/23, 1\/4, 2\/9, 0.01, 0, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 2. Determine g(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 7}. What is prob of picking 1 b and 1 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by -401.\nAnswer: -94\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = 12*z - 4*z. What is the remainder when z is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 388, 818, 1248, 1678, 2108?\n\"Answer: 430*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**17\/r**8)\/(r*(r*r**10*r)\/r)**(-33) assuming r is positive.\nAnswer: r**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*r + 22, b - 3*r - 10 = -5*r. Suppose -2*i - 3*l = b, -4*i - 4*l + 6 = 2. Solve 12 = i*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 5. Suppose 0 + 1 = f, -2*x = 3*f - 9. Let d be 15\/x*(-84)\/(-60). Determine k(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3440 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 49\/4 of a meter?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -553*x**2. Let f(c) = -9*c. What is m(f(s))?\nAnswer: -44793*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1891*w + 1892*w + 9 = -3*g, -9 = -2*w + 3*g. Which is the nearest to 19? (a) w (b) -3 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13140 + -13143. Which is the nearest to 1? (a) -1 (b) t (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*b*f**3*h - 2*b*f**3 - b*f**2*h - 15*b*f**2 + 796*b*f*h - 2*b*f + 10583*f**3*h + f**3 - f**2*h wrt f.\nAnswer: -882*b*h - 12*b + 63498*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/5)\/i)\/i**(-5))\/(((i\/i**(-4))\/i)\/i**(1\/9)) assuming i is positive.\nAnswer: i**(86\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2\/2 - 26521*n\/2 - 13260 = 0.\nAnswer: -26520, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/83789 (b) -0.1 (c) -1\/153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/75 + (-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*h**2 - 15*h**2 - 20*h - 23*h**2 + 39*h**2 as a*h**2 + r*h + o and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-89390)\/20)\/((-3)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c - 3*b = -47, -2*c + 54 = -4*b. Let f = -21 + c. Let q(d) = 4*d**2 - 2*d - 4. Calculate the least common multiple of f and q(-2).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2172 - 5122. Let f = -485 + s. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6584703 and 6584699 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + (sqrt(84)\/sqrt(1452) - sqrt(7))))**2.\nAnswer: -540*sqrt(7)\/11 + 16101\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244255493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -275 or -310?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.52*-2\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 5 - r - 3*r. Let s(g) = -g + 21. Let z(p) = -p + 19. Let i(v) = -5*s(v) + 6*z(v). Calculate 3*i(x) - 5*u(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2. Let b(a) = 608 - 9*a + 866*a**2 - 608 + 9*a. Determine y(b(r)).\nAnswer: -2249868*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(-5*a**2 + 10*a - 10*a) + 2*a + 2*a**2 - 2*a to the form f + w*a**2 + i*a and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17865 + -72865. Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413b (base 13) to base 3.\nAnswer: 110100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/7 - 157\/63. Which is smaller: -10 or i?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28564253\/160 + 178526. What is the common denominator of g and -73\/10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 at most 3567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265588103 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-335)\/65 + 8\/52. Let m = 137\/4 + -34. Are o and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(9\/(-9) - 7). Solve d = 1 - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 180\/107 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 87909672.1 and 686?\nAnswer: 87908986.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -1.2, 8, -0.5 in descending order.\nAnswer: 8, 0.5, 0.4, -0.5, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22159, 22162, 22167, 22174, 22183, 22194, 22207?\n\"Answer: n**2 + 22158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31434 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 139 = 13. Let s be (-6)\/d + (-29)\/3. Let p be 2 + (-1 - 0) + s. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41402353 (base 6) to base 15\nAnswer: 189ebc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98097.\nAnswer: 3, 19, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 13*g - 6. Let b(w) = -5*w**2 - 14*w + 7. Let r(h) = 5*b(h) + 6*n(h). Let l be r(5). Let m be -1 + 7*1 - 0. Solve -4*f = -l - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 7:08 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254767655.\nAnswer: 5, 1051, 48481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135609365*v**2 - 13*v + 4094627.\nAnswer: -271218730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 + 58188*x**3 - 3 + 11*x - 10*x - 58169*x**3 + 3*x**2 to the form y*x**4 + w*x**3 + s*x + v*x**2 + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(sqrt(272)*3 + -3) + -3 + -3)**2.\nAnswer: -1560*sqrt(17) + 61369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.243242 to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*m - 9, -3*m - 2*m + 5*k = 5. Suppose 3*p - 6 = 6. Sort -4, p, m in decreasing order.\nAnswer: p, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242 is divided by 104?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 2, -5976\/125?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxd when three letters picked without replacement from {d: 3, x: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 612097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -571, -2158, -4771, -8416, -13099, -18826?\n\"Answer: -w**3 - 507*w**2 - 59*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + m)*(m**2 - m**2 + m**2) + 1729*m**3 + 2146*m**3 - 5225*m**3 + 3*m**3 - 3*m + 3*m.\nAnswer: -1345*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*j - 20 = 0, -25*j + 24 = -21*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3\/(-5)*-20. What is the tens digit of (-11 + -1)*(-93)\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2961214 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2638 - 18469\/7. Which is smaller: n or -403?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4883169.\nAnswer: 3, 1627723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573526.9ug in nanograms?\nAnswer: 573526900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 + 148.3. Let m = 173.3 + -26.3. Let j = d - m. Which is the third smallest value? (a) 3 (b) 53 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 36*t + 16 - 34.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 + 819*x**2 - 122187*x - 1720251 = 0. Calculate x.\nAnswer: -377, -13, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 709 and -88694748.\nAnswer: -88694039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, -142772 in increasing order.\nAnswer: -142772, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -4*w - 84. Solve -4*c + 14 = -2*n, 3*c + c = -5*n - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -18. Solve -x = 5*s - 18, 2*s + 6 = -n*x + s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1988120 and -123\/250.\nAnswer: 49703000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 2, g: 5, u: 2, h: 2, x: 1}. What is prob of sequence heu?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1022*j**2 - 7*j - 208*j**2 + 14*j - 7*j in the form v*j + u + m*j**2 and give m.\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41147 is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 13*w - 17. Suppose -3*u + 365 = 2*q - 0*u, -w*q - 3*u + 926 = 0. What are the prime factors of q?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -107*j**3 + j**2 - 2*j + 2. What is l(1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10234221312 + -10?\nAnswer: -10234221322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rururrrrrrrrrrurrrru. What is prob of picking 2 r and 2 u?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.773 or 1683?\nAnswer: 1683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(((y*y*y**42)\/y)\/y)\/y)**(2\/49)\/(y**35)**(-2\/11) assuming y is positive.\nAnswer: y**(622\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2b8b (base 12) to base 3\nAnswer: -21001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3)*-1*(3906\/(-294))\/(-31).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffftfftttttftftt. What is prob of picking 2 f?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = v - 111. Which is smaller: v or 80?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169 + -167. What is the smallest value in -5, n, -2\/43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1150, -2300, -3450, -4600, -5750, -6900?\n\"Answer: -1150*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4352331*j*z**3 - 2*j*z**2 + 67*j*z + 4*j - 388*z**2 wrt z.\nAnswer: -26113986*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 3:12 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.483 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 42*t + 780 - 208 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzxnygnzxzonzxz. What is prob of sequence no?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m**2 + 3*m - 3. Let f be l(2). Let q = -4189 + 4189. Which is the second biggest value? (a) -4 (b) q (c) -0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000581898064 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 414\/(-52164)*72\/(-28)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 13*z - 29. Let n be c(9). Suppose 840 = -n*o + 4907. What are the prime factors of o?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010 + 11001?\nAnswer: -100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24741223 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 10*i**2 - 2*i + 7. Determine o(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1331 (base 4) to base 9\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*d + 4056, -9*d = -5*d + t - 8118. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(304)*2 + -2)**2 + 0 + (2 + sqrt(304) - sqrt(304))**2 + 4)*-2)*-4.\nAnswer: -256*sqrt(19) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-336)\/(-90))\/(-14))\/((-98)\/(-35))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185129\/235360 - -63\/1471. Find the common denominator of m and -149\/624.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -20*i**3 + i + 13. Let j(t) = 5*t**3 - 3. Give 18*j(l) + 4*p(l).\nAnswer: 10*l**3 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -92953.21177 to the nearest 10.\nAnswer: -92950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 14*g - 4. Which is bigger: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2\/(-4))\/(1\/74). Suppose 2 = -7*n + p. Suppose f = n*f - 52. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52735 (base 8) in base 3?\nAnswer: -1010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -144422.4262 and -0.5.\nAnswer: -144422.9262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -373 in descending order.\nAnswer: 3, -0.5, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2056684.000075 + -2056705. Let o = p - -21. What is o rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 467*c - 505. Give n(2).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 36*h**3 + h**2 - h - 1. What is u(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = v + 24, 5*v - 51 = -45*c + 41*c. Solve -2*s - c = -r, -3*s - 5*r + 10 = -9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1827)\/3276 + (-8)\/(-26). What is the nearest to -0.8 in s, 1, 0, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1874673 = 5*c, -374936 = -0*c - c + l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86539*-0.1\nAnswer: -8653.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**2 - 400*g - 546. Determine c(68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 2, l: 2}. What is prob of picking 2 u and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 82. Suppose n = -0*v + 3*v - 36. Let u be (4\/18)\/(v\/108). Solve -3 = -z + r, -u*z + 3*z + 3*r = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 s when four letters picked without replacement from {s: 7, u: 4, l: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2919999?\nAnswer: 3, 973333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 - 129. Sort f, -1\/6, -4, -1 in descending order.\nAnswer: f, -1\/6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -407*y**4 + 8791*y**2 - 49526392 wrt y?\nAnswer: -1628*y**3 + 17582*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17178 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 451 and -179.165075472?\nAnswer: 630.165075472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1782, -3555, -5324, -7089, -8850, -10607?\n\"Answer: 2*z**2 - 1779*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -20. Let a(x) = -x - 4. Suppose 7 = -2*d + 47. What is the remainder when d is divided by a(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 22) + (2 - -1) + 9 + -10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 99*x**3 - 17*x**3 - 16.\nAnswer: 82*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33477 rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033103112 (base 4) in base 9?\nAnswer: 544513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09534 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 121.385. Round h to two dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 - 6*j - 191 - 209 + 6*j + 402.\nAnswer: 6*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*l**2 + 114615*l*x**3 + 4446931*x**3 wrt l?\nAnswer: -10*l + 114615*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 1259 + 1259.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3018*p + 552299. Give l(-183).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*n + 5*n. Let z be 2\/n*108\/8. What is the units digit of z*(-1)\/12*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.19 (b) -2 (c) 1 (d) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + r**4 - 4 + (0*r**2 - 5*r**2 - 3*r**2)*(22*r - 4*r**2 - 22*r) to the form q*r**2 + u*r + y*r**4 + s*r**3 + g and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -56*c + 35. Let t(l) = -56*l + 34. Let s(y) = 5*p(y) - 4*t(y). Find the first derivative of s(o) wrt o.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**2 - 11*g. Let n(v) = -5*v**2 + 6*v - 3. Let x(o) = -5*o**2 + 8*o - 4. Let l(y) = 4*n(y) - 3*x(y). What is a(l(m))?\nAnswer: -175*m**4 + 55*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/26 + 21\/52. Which is the closest to 0.1? (a) 2\/11 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:49 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 26367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62990 (base 13) in base 8?\nAnswer: 532366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-85 - -90 - -73) + 7\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 412*r. Let h(m) = -172 + 2*m**2 + 0*m**2 + 172. What is b(h(q))?\nAnswer: 824*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 98*j**2 + 9*j - 358. Give a(-49).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288425, -288422, -288419, -288416, -288413?\nAnswer: -288410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/9 (b) -4 (c) 1 (d) -0.4 (e) 4\/7 (f) 1\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163327530?\nAnswer: 2, 3, 5, 31, 175621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -327 and -277481.3?\nAnswer: 90736385.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/39555 and -38\/81?\nAnswer: 118665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 266*n + 55. Let v(l) = 161*l + 28. Let t(d) = -5*v(d) + 3*w(d). Determine t(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-13110)\/(-23)))\/((-2)\/(-6))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1175\/(-1880))\/(5\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391136 - 224947. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 30173.\nAnswer: 1719861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/211666 and 67\/2484.\nAnswer: 262889172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -83*d. Let w = -118 + 251. Let a(o) = 133 - w - o**2. Determine a(u(k)).\nAnswer: -6889*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/5)\/(106\/13596355) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-88)\/77*-3*63\/54. Solve -5*w + o*r + 22 = 0, 0 = 10*r - 6*r + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:25 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -275*v + 40129. What is m(141)?\nAnswer: 1354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -1, -349, 61 in ascending order.\nAnswer: -349, -3, -1, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1696 and 31\/36?\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -3. Let q(n) = i*n - 2*n - 2*n. Determine q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-24) - -7*8\/64.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 8*c - 3. Let a be q(-5). Let g = 22 - a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.2, 1\/9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12567.0005987 + -12567. Round k to five decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - 17*d**2 + 12*d + 127. Is c(-13) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/(-18))\/(19*(-106)\/9063)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 59 = -4. Let g be 24\/s*-2 + -2 + 4. Is 19 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t + 189*t - 1056 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(3\/4)\/l)\/l)\/l**(-2\/9))\/((l\/l**22)\/l**7) assuming l is positive.\nAnswer: l**(971\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 0.1, -11, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(1\/6)\/k)\/k*k*k*k)\/k**(-6\/7))**(1\/9)*(k*k\/(k\/k**(2\/9))*k**6)**(-8\/7) assuming k is positive.\nAnswer: k**(-2993\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12644940 by 22540.\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 190. Let m(d) = 6*d + 602. Let n(r) = 5*m(r) - 16*t(r). Determine n(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1327 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/203 >= -3209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21210122001 (base 3) to base 10\nAnswer: 153550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j + 3. Let g(c) = 6*c - 2. Determine -3*g(o) - 2*w(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 6*(sqrt(567) + sqrt(567) + sqrt(567) + 1 + sqrt(567)) + 2 + -4 + sqrt(28).\nAnswer: 4 + 227*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 719 and 18.\nAnswer: 12942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.35. Let p = 2 + -7. Put -2\/11, v, p in increasing order.\nAnswer: p, v, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234000 = 1932*o - 1937*o. Round o to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6*1*(-1908)\/1197. Let g = -40\/19 + z. Solve -50\/7*b - 20\/7*b**4 + g*b**5 + 0 + 20\/7*b**2 + 48\/7*b**3 = 0 for b.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12648 and 7344.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 4*d**2 - 4*d - 6. Suppose 2*c + 90 = c. Let s be 2\/(-7) - c\/21. Suppose 3*q - 27 = 3*b, -s*q - 15 = -3*q + 5*b. What is k(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*q - 596, 2*q = 3*d - q - 357. Suppose 0 = -5*u - u - d. Is (-5)\/(u\/1126)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -4. What is the least common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 8*w - 7. Let t be i(9). Find the second derivative of 5*g**t + g**2 - 3*g**2 + 2*g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 7. Calculate f(10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 16. Suppose 0 = -3*q + 23 + y. Suppose -6*f + q = -3*f. Solve -x - 7 = f*w - w, -5*x = -3*w - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333715 - -205174. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9897, 16034, 22171, 28308, 34445, 40582?\nAnswer: 46719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144264845.\nAnswer: 5, 4139, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*j**2 - 6854*j**3 + 6846*j**3 - 153*j**2.\nAnswer: -8*j**3 - 48*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/3 - 424*m**2\/3 - 57244*m\/3 - 112784\/3 = 0.\nAnswer: -106, -2, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**5 - 122*f**4 + 19*f**2 - 5*f + 2.\nAnswer: 360*f**2 - 2928*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001191591 to seven decimal places.\nAnswer: -0.0001192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 4, 2\/13, -1\/235?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50250*-0.7\nAnswer: -35175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b*b**0)*b)**(-34)\/((b**(-1\/10)*b)\/(b**(3\/4)*b)))**(38\/5))**(13\/7) assuming b is positive.\nAnswer: b**(-71383\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8809.\nAnswer: 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(4756\/123)*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u - 5210 - u - 317*u**2 - 327*u**2 + 104*u**2 wrt u.\nAnswer: -1080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-240)\/(-252)*7)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*h**3*y + 183*y wrt h?\nAnswer: -141*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54) + sqrt(486))\/(sqrt(3) - (sqrt(21)\/(sqrt(112) - sqrt(7)) - sqrt(3) - sqrt(3))).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:01 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33860445 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/(24\/168)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*w + 4*s - 19, -5*s + 13 = -2*w. Solve 2 = -2*a + 4*l, -w*a + 3*l = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-13)\/7 - 1. Let y(f) = -37*f + 445. Calculate the remainder when -2*-1*1\/2 is divided by y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(-1*sqrt(6)))\/sqrt(6) - (sqrt(7) + 0 + 0 - sqrt(84)\/(sqrt(12) - 2*sqrt(12))) - ((-2*sqrt(224)*-4)\/(sqrt(8) - sqrt(288)*-1))**2.\nAnswer: -256\/7 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:34 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/2 - 98*o**4 - 395*o**3\/2 - 99*o**2.\nAnswer: o**2*(o - 198)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 531 and 1357?\nAnswer: 12213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -744c6 (base 15) to base 4\nAnswer: -1122011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d + 2*d)*(5*d - 3*d + 11*d) + d**2 + 0*d**2 - 2*d**2.\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2516 - 13*j + j - 2518.\nAnswer: -12*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1194873\/431 and 2771 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 7, -121.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1280 and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74390*f - 143569.\nAnswer: -74390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 913122 and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101505, 101716, 101949, 102204?\n\"Answer: 11*m**2 + 178*m + 101316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88657 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3992*u + 15338 - 245278 + 12867 - 62367 = 0 for u.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 - 4*c + 2. Give h(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 10:47 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/3 - 11240*r**2\/3 + 11234*r = 0.\nAnswer: 0, 3, 5617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 40.9973. Round d to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/3)\/(-2)*1. Let l = -0.042 - -3.942. Let q = -4 + l. Which is the third biggest value? (a) q (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(162) + sqrt(1372)*6)\/(-6*sqrt(12)\/(-3*sqrt(108))).\nAnswer: 379*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11658 + -7624. What are the prime factors of i?\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1 - (-122 - -121 - (3 - -8))) + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 4*o**2 + 2*o. Let w be m(2). Let a be (1 - 1)\/(-1 - -2). Let l be (782\/(-69))\/(-17)*-3. Sort a, l, w in ascending order.\nAnswer: l, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109 (base 15) to base 12.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 506.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18032704?\nAnswer: 2, 281761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 1\/81 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -14 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -20.9963. What is k rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41\/3, -4, 3\/4, 4, -3\/20, 3 in descending order.\nAnswer: 41\/3, 4, 3, 3\/4, -3\/20, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471873.1 litres to millilitres.\nAnswer: 471873100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 1575?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2577 - -2580. Put 5, -2, i, 74 in descending order.\nAnswer: 74, 5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, e: 5, m: 2, f: 1, g: 1, d: 3}. Give prob of sequence mf.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - -38.97. Let c = 39.38 - j. Let y = 13.68 - c. Round y to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 7*u**2 - 6. Let g be q(-6). Let m be 2 + 1*g\/(-21). Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1073 + -644. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*d - 30 = 579*d. Suppose -43 - 41 = -4*z. Suppose -o + 0*o = 3*h + z, -2*h - 10 = 0. Do o and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/5 and -2\/1941 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from bjggbbbgbbgcbccg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/23 + 496*i**3\/23 + 30734*i**2\/23 - 4464*i\/23 - 276768\/23 = 0 for i.\nAnswer: -124, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35576442812 + 5084.\nAnswer: -35576437728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 - 2*v**2 - 4*v + 1. Let g be l(4). Suppose -g - 127 = -4*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-1)*4)\/((sqrt(112) + sqrt(7))*3) + (-4*(1 + (sqrt(11) + sqrt(275))*4))**2.\nAnswer: 768*sqrt(11) + 101392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5056 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w - 75. Let i(t) = 2*t**2 - 60*t - 36. Let a be i(31). Differentiate -w*d**3 + 27 - 8 + a*d**3 with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2 + 9*d + 3*d**2 + d**3 + 5 - d**2 - 6*d**2. Let u be q(10). Let h = -11 - -15. Put h, -3, u in increasing order.\nAnswer: u, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 64 = 7*u. Let b = u - 10. Suppose -b*s + 21 + 9 = 0. Solve -3*o - 5*l - s = 16, 0 = o - 4*l - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -2.04, -2, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 13*v**2 - 29*v - 15 = 0 for v.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**3 - 28287*k**2 + 35343*k - 7068.\nAnswer: 3*(k - 2356)*(k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -755 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2 + 14*r + 13 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01427 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s - 72*s + 24 = -3*h, -h + 31 = 4*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8561121 rounded to the nearest one thousand?\nAnswer: -8561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6621944 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, v: 4}. Give prob of picking 1 r and 1 v.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591587?\nAnswer: 233, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*z**5 + 2*z**4 + 36341*z**2 - 6952255*z.\nAnswer: 980*z**3 + 24*z**2 + 72682","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 + 28960*r**3 - 69870816*r**2 + 56129478272*r + 112538671552 = 0. Calculate r.\nAnswer: -2, 2414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + (-5 + 3 + 0)*(1 - 1 - 1))*(-z**4 + z**4 - 5*z**4)*(-z + 1 - 1).\nAnswer: 15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**2 + 50*i - 116. Calculate w(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25)\/20 - (-3)\/4 - 2358\/(-4) is divided by 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 78?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -14\/9, -0.2827, 4\/5, -2\/7, -10?\nAnswer: -0.2827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-594)*80\/(-80)*(-3)\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 6, -5, 6892 in decreasing order.\nAnswer: 6892, 36, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 8. Let g(i) be the second derivative of 3*i + 17\/2*i**2 + 1\/3*i**3 + 0. What is -13*f(z) - 6*g(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeegeegeeeeeeeee. What is prob of sequence ggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 1\/5, 2\/9, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*r + 18, r + 4*r + 20 = 0. Let l be 1\/(h\/528*2). Let k = -904 - l. What is k rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-2)\/j*j*j*j*j))\/j)\/j)\/j**(-2\/17))**(11\/6) assuming j is positive.\nAnswer: j**(-539\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/25)\/((-32)\/20)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aimmaffararffaffmff. Give prob of sequence riam.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/5311788 and 5\/11004?\nAnswer: 37182516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1416.9127212 - 3.1853788. Let c = 1420 + b. What is c rounded to three decimal places?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -45)\/(-22 + 21). Let v be (-790000)\/(3 - s\/(-16)). What is v rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7008, -1\/11, -4\/9, -9 in descending order.\nAnswer: 7008, 3, -1\/11, -4\/9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89659 by -1278.\nAnswer: -89659\/1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 6*h - 1. Let i be r(5). Let f(y) = y**2 + 17*y + 27. Let x be f(-15). Put x, i, 5 in ascending order.\nAnswer: x, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-24)*(-3)\/64*4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 287 * -122.\nAnswer: -35014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:42 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + -2*sqrt(209)*1 - (sqrt(209) + (1*sqrt(209)*-1 - sqrt(209))))\/((-1*-2*sqrt(77))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 14, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 19\/641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from {o: 18, d: 1}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29359487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -92957 at most as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320985?\nAnswer: 3, 5, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + 29?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2317 = 12*m + 5965. Let h = -301 - m. Put -1, -4, h in decreasing order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*d - 4 + 16 = 0, 11 = -3*n + 4*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1998)\/(-9) + (0\/4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*s**2 - 2*s + 2724*s**2 + 2334*s**2 - 1241*s**2.\nAnswer: 3332*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*w**2 - 5\/3*w - 2 = 0. What is w?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z + 29. Let m be ((-1982)\/3)\/(1\/z). Let y = -218117\/22 - m. Calculate the common denominator of -93\/14 and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -202*g**2 - 196*g**2 + 384*g**2. Let b(z) = z. Determine b(v(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3347*q + 14029*q**3 - 3356*q - 14037*q**3 + 6703*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 10, 3*f - 3*i = -15. List the prime factors of -3*(4 + f)*-7.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/231 - 0 - (-22)\/(-121).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 495*k**2 + 2*k - 15*k**2 - 410*k**2 - 2*k in the form z*k**2 + n*k + l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -2)\/(0 + -1). Let w = -7 + 3. Which is the nearest to r? (a) 2\/7 (b) 4\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k. Let m(l) = -7*l + 41. Calculate a(m(v)).\nAnswer: -56*v + 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 304965?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 1. Let s be j(-1). Let q be (-2)\/4*552\/10. Let i = q + 28. Which is bigger: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4171510.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/75 + 168*s**4\/5 + 169344*s**3\/5 - 3*s**2 - 4*s - 23. Factor d(f).\nAnswer: 4*(f + 504)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*c + 78. Let d be (-4 + 3)\/(2\/c). Let s = -1 + 3. Calculate the greatest common factor of s and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21472615 is divided by 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -1\/22, -1, 1\/4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2240 is divided by 187?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 2, i: 5, m: 2, d: 3, b: 2}. Give prob of picking 1 m and 2 b.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (5\/25 - 89\/(-5)). Solve -h + 6 = b, 2*b = i*h - 18*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 13b6?\nAnswer: 13bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -22 (b) -1\/4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**6\/45 + 7*d**5\/15 + 65*d**4\/18 + 100*d**3\/9 - 104*d. Solve s(u) = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25487 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 1, q: 1, v: 2, n: 1, a: 1}. Give prob of picking 1 q, 1 i, and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63945)\/1015 + 1 + 102?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -244*(-17)\/(102\/4)*27\/72.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 less than -70531.451?\nAnswer: -70527.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 23 = -3*d + 4*n, 5*d + 20 = -n. Which is the closest to 2? (a) -3\/7 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*u**4 + 14*h**2 + 2*h*u - 203*u**4 + 8 wrt u?\nAnswer: 8*h**2*u**3 + 2*h - 812*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -5*b**4\/12 + b**3\/3 + 16*b**2\/3 + 4*b + 274. Factor p(r).\nAnswer: -(r - 3)*(r + 2)*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwywwwywww. What is prob of sequence yyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 90 = h. Let t = h + 54. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 - 100000010011100100?\nAnswer: -100000010100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2088 and 5742?\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8687\/200 - 1104\/25. Calculate the common denominator of l and -103\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, 25, -2.7.\nAnswer: -2.7, 2, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:04 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 1\/20*y**5 + y**2 + 0*y + 4 + 0*y**3 + 0*y**4. Let u(x) = x**2. What is -r(i) - 2*u(i)?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -41, -56, -55, -32, 19, 104, 229?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopooooopo. Give prob of sequence po.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 343 = 5*x, 0 = 5*k - 6*k + 2*x + 337. Suppose 0 = 5*w - 0*w + o - k, 5*w - 342 = -4*o. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206.9 - 27.1. Let b = j - -332. Let t = b - 98.000000048. Round t to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llq when three letters picked without replacement from cqllltql?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/48 and 9\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 47. Which is smaller: t or 34\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 + 12*g + 8. Let v be b(9). Suppose v*w + 72 = 31*w. Let h = w + 28. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 520132, 519996, 519856, 519712?\n\"Answer: -2*l**2 - 130*l + 520264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 - 1764*q**2 + 240768*q + 5544960 = 0. What is q?\nAnswer: -20, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 14*n**2 - 15*n. Let o be q(8). Let w = -0.93 + 0.63. What is the nearest to 0.2 in o, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 11:57 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19101 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -879, -3179, -7011, -12375, -19271?\n\"Answer: -766*z**2 - 2*z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (1 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + -87. Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 128 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(108)\/sqrt(432)) + (-5*sqrt(28)\/(sqrt(8)\/sqrt(2)))**2.\nAnswer: 6*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2848325 to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5161123 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*f**4 + 214*f**4 - 41 - 433*f**4 - 3*f**2 as u + d*f + m*f**2 + a*f**3 + s*f**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 496400 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126479 is divided by 30375?\nAnswer: 4979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-4)*360\/(-20)*(-100)\/4200?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*n + 12 - 40 + 49*n + 15 + 11 to the form s*n + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 53*p**2 - 7313*p + 9341. Let h(v) = 32*v**2 - 3659*v + 4671. Let x(q) = -5*h(q) + 3*o(q). Differentiate x(n) with respect to n.\nAnswer: -2*n - 3644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200721.\nAnswer: 31, 70991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -39*g. Let t(u) be the third derivative of 0*u**4 - 3*u**2 + 1\/60*u**5 + 0*u + 0 + 0*u**3. Give k(t(n)).\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*2)\/sqrt(6) + (sqrt(3025) - sqrt(3025)*-2))\/(sqrt(55)\/(-2*sqrt(11)) + sqrt(5) - (2*sqrt(245) + sqrt(245))).\nAnswer: -70*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40764126 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (-18 - -29)) + 6 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.1 + 5.1. Which is the biggest value? (a) 4\/7 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = 200. Is 1 - (-1 - (0 + g)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 210 = -7*p. Suppose -24*b + 19*b = p. Find the common denominator of -11\/28 and -2 + b\/(-48) + 2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -64. Which is the biggest value? (a) -0.2 (b) u (c) -2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2886 and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**6\/160 + 7*k**5\/20 + 161*k**4\/32 + 33*k**3\/2 + 3*k**2 - 999. Factor p(s).\nAnswer: -3*(s - 33)*(s + 1)*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 + -86. Let p(k) = 52*k**4 + 2*k**2 + k. Let j(u) = 207*u**4 + 8*u**2 + 4*u. Let i(y) = a*p(y) - 4*j(y). Find the third derivative of i(q) wrt q.\nAnswer: 2592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863408253.\nAnswer: 7, 29, 313, 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q**3 + 361*q**2 + 181*q**3 + 114*q**2 - 21*q**3.\nAnswer: 139*q**3 + 475*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 28608*q - 4118940 = 0 for q.\nAnswer: 147, 7005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 28*t + 5*o - 3 = 0, 5*o = 4*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 926587.4km in micrometers?\nAnswer: 926587400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:05 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21801165847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 362.4, 56, 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (5 + 0 + -4 - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 - -67. Let j = 84 + k. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207378 and 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 4 + sqrt(475).\nAnswer: 11 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*m - 3*m, -4*t - 3*m + 230 = 0. What is the remainder when t is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + i - 3*i + 6*i + 3 - 1 to r*i**3 + n*i**2 + m + h*i and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {v: 4, l: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = -4*i. Let q(a) be the first derivative of -a**3\/3 + 3*a**2\/2 + 6*a + 1569. Calculate q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*f - i, -f - 5*i + 26 = -0*i. Let y(u) = -u**2 + 12*u - 3. Let m be y(f). Let a = 14 - m. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 - 59138*i\/9 - 118268\/9.\nAnswer: -2*(i + 2)*(i + 29567)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2768 + 2767.79. What is the second biggest value in -0.5, 9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c + 3. Let d(j) = -j**2 - 2*j - 4. Let q(b) = 4*a(b) + 3*d(b). Give q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.02 + -12.02. What is the second smallest value in 5, 1, -10\/7, n?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {x: 3, q: 17}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 17306204?\nAnswer: 1\/17306204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*s + 18, 5 - 2 = -i. Let a(r) = -12334*r + 4. Let l be a(s). Round l to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 5*x, -5*g - 2*x + 15 = x. Solve -u + g = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, -0.4, -0.05, 0, 124.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 2, p: 1, g: 1, x: 2}. Give prob of picking 1 x and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q*q*q**1\/q)\/q*q*q)\/q**(4\/9)*q**7*q**(-1\/7))\/(q**(-12)\/((q\/(q\/q**(-15)*q*q*q))\/q))**(3\/4) assuming q is positive.\nAnswer: q**(1553\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(192) + (sqrt(192) + sqrt(192)*-2)**2*-6) - (-3*(2 + sqrt(192))*6*-4)**2.\nAnswer: -1009157 - 165936*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2847 and 2067?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 + 40*n + 545. Let j be z(-37). What is the greatest common divisor of j and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 5*f = -55*r - 35, 4*r = -5*f - 26 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 3. Let a = s + 9. Let p be 4\/(-10) - (-102)\/105. Put p, 4, a in descending order.\nAnswer: a, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k + 12. Let n be (8\/(-6) - -2)*189\/(-14). Let j(y) = -2*y + 2*y + y. Let l(b) = n*j(b) - d(b). What is the first derivative of l(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from ssshhssh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18368 divided by -2296.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-20)*80\/88?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let b be g(-3). Let v be 195\/(-9) + b\/(-6). Is 8 a factor of (v\/5)\/(2\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -692 - -1268. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 11 = d, -30 = -d - 29 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + 100?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 8170867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/325 and 53\/100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 77750\/1050 + -1 + 788\/210.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:52 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 37687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h - 23. Let f be v(-6). Let n = -9 - -16. Does f = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050.80991 minutes in weeks?\nAnswer: 0.4018660625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1091*b**3*k**5 - 2*b**3*k**2 - 1758*k**2 wrt k.\nAnswer: 65460*b**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5373 - -13172. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*n. Let w be 1 + -1 - (-5 + n). Which is the closest to -1? (a) -0.2 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272544, 545026, 817508, 1089990, 1362472, 1634954?\nAnswer: 1907436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z + 4*z - 52*z**3 + 20*z)*(0 + 1 + 0).\nAnswer: -52*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:57 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310152 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 168 * -0.1092\nAnswer: -18.3456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -8091?\nAnswer: -11\/8091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.651048 millimeters to centimeters.\nAnswer: 0.0651048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322.8222255 - 2.\nAnswer: -324.8222255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - x**2 + 3*x**2)*(-8*x - 6*x - 17*x - 3).\nAnswer: 31*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buybyuybyyyyybb. What is prob of picking 3 y and 1 u?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/g**6)**9\/((g*g*(g*g*g*g**(-1\/9))\/g)\/g**(-1\/3)*(g**(-1\/3))**(-47)) assuming g is positive.\nAnswer: g**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**2 - 32 + 3*r**4 + 4 - 14*r**2 wrt r?\nAnswer: 12*r**3 - 34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2557\/7 + -365. Find x such that 0 - 2\/7*x**2 - r*x**3 + 0*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*i**3 + 230837*i**2 + 428038*i + 41.\nAnswer: -690*i + 461674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 4 - n**2 + n**2 + n**2 + 0*n**2 to the form x + r*n + i*n**2 + w*n**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/4*(-2)\/(-54)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u = -140. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 74 = 98 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455630?\nAnswer: 2, 5, 7, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7203\/(-2169) - -2) + -2. Let u = c - 3\/241. Let n = -18058\/11 - -1645. Calculate the common denominator of u and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*-2)**2 + 4)*4.\nAnswer: 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 61. Let n(r) = -7*r - 4. Let i(t) = 5*t + 3. Let c(u) = -4*i(u) - 3*n(u). What is x(c(o))?\nAnswer: 2*o + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116.15139 - 0.15139. Which is the second biggest value? (a) 90 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11587 - -21264. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**9\/84 - 11*w**5\/60 - 10*w**2. Find the third derivative of x(u) wrt u.\nAnswer: -720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 2123 - 6461. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51180 by -13.\nAnswer: 51180\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 0*g**3 + 3*g + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.99 - 0.01. Let x = 13\/140 + 1\/20. Which is the third biggest value? (a) x (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6974 + -2999. What are the prime factors of h?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}